xref: /petsc/src/ksp/pc/impls/bddc/bddc.c (revision 14893cbeccd8b5f1bec5fc433e5baa316bdaa2c5)
1 /* TODOLIST
2 
3    Solvers
4    - Add support for cholesky for coarse solver (similar to local solvers)
5    - Propagate ksp prefixes for solvers to mat objects?
6 
7    User interface
8    - ** DM attached to pc?
9 
10    Debugging output
11    - * Better management of verbosity levels of debugging output
12 
13    Extra
14    - *** Is it possible to work with PCBDDCGraph on boundary indices only (less memory consumed)?
15    - BDDC with MG framework?
16 
17    MATIS related operations contained in BDDC code
18    - Provide general case for subassembling
19 
20 */
21 
22 #include <../src/ksp/pc/impls/bddc/bddc.h> /*I "petscpc.h" I*/  /* includes for fortran wrappers */
23 #include <../src/ksp/pc/impls/bddc/bddcprivate.h>
24 #include <petscblaslapack.h>
25 
26 static PetscBool PCBDDCPackageInitialized = PETSC_FALSE;
27 
28 static PetscBool  cited = PETSC_FALSE;
29 static const char citation[] =
30 "@article{ZampiniPCBDDC,\n"
31 "author = {Stefano Zampini},\n"
32 "title = {{PCBDDC}: A Class of Robust Dual-Primal Methods in {PETS}c},\n"
33 "journal = {SIAM Journal on Scientific Computing},\n"
34 "volume = {38},\n"
35 "number = {5},\n"
36 "pages = {S282-S306},\n"
37 "year = {2016},\n"
38 "doi = {10.1137/15M1025785},\n"
39 "URL = {http://dx.doi.org/10.1137/15M1025785},\n"
40 "eprint = {http://dx.doi.org/10.1137/15M1025785}\n"
41 "}\n";
42 
43 PetscLogEvent PC_BDDC_Topology[PETSC_PCBDDC_MAXLEVELS];
44 PetscLogEvent PC_BDDC_LocalSolvers[PETSC_PCBDDC_MAXLEVELS];
45 PetscLogEvent PC_BDDC_LocalWork[PETSC_PCBDDC_MAXLEVELS];
46 PetscLogEvent PC_BDDC_CorrectionSetUp[PETSC_PCBDDC_MAXLEVELS];
47 PetscLogEvent PC_BDDC_CoarseSetUp[PETSC_PCBDDC_MAXLEVELS];
48 PetscLogEvent PC_BDDC_CoarseSolver[PETSC_PCBDDC_MAXLEVELS];
49 PetscLogEvent PC_BDDC_AdaptiveSetUp[PETSC_PCBDDC_MAXLEVELS];
50 PetscLogEvent PC_BDDC_Scaling[PETSC_PCBDDC_MAXLEVELS];
51 PetscLogEvent PC_BDDC_Schurs[PETSC_PCBDDC_MAXLEVELS];
52 
53 PetscErrorCode PCApply_BDDC(PC,Vec,Vec);
54 
55 PetscErrorCode PCSetFromOptions_BDDC(PetscOptionItems *PetscOptionsObject,PC pc)
56 {
57   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
58   PetscInt       nt,i;
59   PetscErrorCode ierr;
60 
61   PetscFunctionBegin;
62   ierr = PetscOptionsHead(PetscOptionsObject,"BDDC options");CHKERRQ(ierr);
63   /* Verbose debugging */
64   ierr = PetscOptionsInt("-pc_bddc_check_level","Verbose output for PCBDDC (intended for debug)","none",pcbddc->dbg_flag,&pcbddc->dbg_flag,NULL);CHKERRQ(ierr);
65   /* Approximate solvers */
66   ierr = PetscOptionsBool("-pc_bddc_dirichlet_approximate","Inform PCBDDC that we are using approximate Dirichlet solvers","none",pcbddc->NullSpace_corr[0],&pcbddc->NullSpace_corr[0],NULL);CHKERRQ(ierr);
67   ierr = PetscOptionsBool("-pc_bddc_dirichlet_approximate_scale","Inform PCBDDC that we need to scale the Dirichlet solve","none",pcbddc->NullSpace_corr[1],&pcbddc->NullSpace_corr[1],NULL);CHKERRQ(ierr);
68   ierr = PetscOptionsBool("-pc_bddc_neumann_approximate","Inform PCBDDC that we are using approximate Neumann solvers","none",pcbddc->NullSpace_corr[2],&pcbddc->NullSpace_corr[2],NULL);CHKERRQ(ierr);
69   ierr = PetscOptionsBool("-pc_bddc_neumann_approximate_scale","Inform PCBDDC that we need to scale the Neumann solve","none",pcbddc->NullSpace_corr[3],&pcbddc->NullSpace_corr[3],NULL);CHKERRQ(ierr);
70   /* Primal space customization */
71   ierr = PetscOptionsBool("-pc_bddc_use_local_mat_graph","Use or not adjacency graph of local mat for interface analysis","none",pcbddc->use_local_adj,&pcbddc->use_local_adj,NULL);CHKERRQ(ierr);
72   ierr = PetscOptionsInt("-pc_bddc_graph_maxcount","Maximum number of shared subdomains for a connected component","none",pcbddc->graphmaxcount,&pcbddc->graphmaxcount,NULL);CHKERRQ(ierr);
73   ierr = PetscOptionsBool("-pc_bddc_corner_selection","Activates face-based corner selection","none",pcbddc->corner_selection,&pcbddc->corner_selection,NULL);CHKERRQ(ierr);
74   ierr = PetscOptionsBool("-pc_bddc_use_vertices","Use or not corner dofs in coarse space","none",pcbddc->use_vertices,&pcbddc->use_vertices,NULL);CHKERRQ(ierr);
75   ierr = PetscOptionsBool("-pc_bddc_use_edges","Use or not edge constraints in coarse space","none",pcbddc->use_edges,&pcbddc->use_edges,NULL);CHKERRQ(ierr);
76   ierr = PetscOptionsBool("-pc_bddc_use_faces","Use or not face constraints in coarse space","none",pcbddc->use_faces,&pcbddc->use_faces,NULL);CHKERRQ(ierr);
77   ierr = PetscOptionsInt("-pc_bddc_vertex_size","Connected components smaller or equal to vertex size will be considered as primal vertices","none",pcbddc->vertex_size,&pcbddc->vertex_size,NULL);CHKERRQ(ierr);
78   ierr = PetscOptionsBool("-pc_bddc_use_true_nnsp","Use near null space attached to the matrix without modifications","none",pcbddc->use_nnsp_true,&pcbddc->use_nnsp_true,NULL);CHKERRQ(ierr);
79   ierr = PetscOptionsBool("-pc_bddc_use_qr_single","Use QR factorization for single constraints on cc (QR is always used when multiple constraints are present)","none",pcbddc->use_qr_single,&pcbddc->use_qr_single,NULL);CHKERRQ(ierr);
80   /* Change of basis */
81   ierr = PetscOptionsBool("-pc_bddc_use_change_of_basis","Use or not internal change of basis on local edge nodes","none",pcbddc->use_change_of_basis,&pcbddc->use_change_of_basis,NULL);CHKERRQ(ierr);
82   ierr = PetscOptionsBool("-pc_bddc_use_change_on_faces","Use or not internal change of basis on local face nodes","none",pcbddc->use_change_on_faces,&pcbddc->use_change_on_faces,NULL);CHKERRQ(ierr);
83   if (!pcbddc->use_change_of_basis) {
84     pcbddc->use_change_on_faces = PETSC_FALSE;
85   }
86   /* Switch between M_2 (default) and M_3 preconditioners (as defined by C. Dohrmann in the ref. article) */
87   ierr = PetscOptionsBool("-pc_bddc_switch_static","Switch on static condensation ops around the interface preconditioner","none",pcbddc->switch_static,&pcbddc->switch_static,NULL);CHKERRQ(ierr);
88   ierr = PetscOptionsInt("-pc_bddc_coarse_eqs_per_proc","Target number of equations per process for coarse problem redistribution (significant only at the coarsest level)","none",pcbddc->coarse_eqs_per_proc,&pcbddc->coarse_eqs_per_proc,NULL);CHKERRQ(ierr);
89   i    = pcbddc->coarsening_ratio;
90   ierr = PetscOptionsInt("-pc_bddc_coarsening_ratio","Set coarsening ratio used in multilevel coarsening","PCBDDCSetCoarseningRatio",i,&i,NULL);CHKERRQ(ierr);
91   ierr = PCBDDCSetCoarseningRatio(pc,i);CHKERRQ(ierr);
92   i    = pcbddc->max_levels;
93   ierr = PetscOptionsInt("-pc_bddc_levels","Set maximum number of levels for multilevel","PCBDDCSetLevels",i,&i,NULL);CHKERRQ(ierr);
94   ierr = PCBDDCSetLevels(pc,i);CHKERRQ(ierr);
95   ierr = PetscOptionsInt("-pc_bddc_coarse_eqs_limit","Set maximum number of equations on coarsest grid to aim for","none",pcbddc->coarse_eqs_limit,&pcbddc->coarse_eqs_limit,NULL);CHKERRQ(ierr);
96   ierr = PetscOptionsBool("-pc_bddc_use_coarse_estimates","Use estimated eigenvalues for coarse problem","none",pcbddc->use_coarse_estimates,&pcbddc->use_coarse_estimates,NULL);CHKERRQ(ierr);
97   ierr = PetscOptionsBool("-pc_bddc_use_deluxe_scaling","Use deluxe scaling for BDDC","none",pcbddc->use_deluxe_scaling,&pcbddc->use_deluxe_scaling,NULL);CHKERRQ(ierr);
98   ierr = PetscOptionsBool("-pc_bddc_schur_rebuild","Whether or not the interface graph for Schur principal minors has to be rebuilt (i.e. define the interface without any adjacency)","none",pcbddc->sub_schurs_rebuild,&pcbddc->sub_schurs_rebuild,NULL);CHKERRQ(ierr);
99   ierr = PetscOptionsInt("-pc_bddc_schur_layers","Number of dofs' layers for the computation of principal minors (i.e. -1 uses all dofs)","none",pcbddc->sub_schurs_layers,&pcbddc->sub_schurs_layers,NULL);CHKERRQ(ierr);
100   ierr = PetscOptionsBool("-pc_bddc_schur_use_useradj","Whether or not the CSR graph specified by the user should be used for computing successive layers (default is to use adj of local mat)","none",pcbddc->sub_schurs_use_useradj,&pcbddc->sub_schurs_use_useradj,NULL);CHKERRQ(ierr);
101   ierr = PetscOptionsBool("-pc_bddc_schur_exact","Whether or not to use the exact Schur complement instead of the reduced one (which excludes size 1 cc)","none",pcbddc->sub_schurs_exact_schur,&pcbddc->sub_schurs_exact_schur,NULL);CHKERRQ(ierr);
102   ierr = PetscOptionsBool("-pc_bddc_deluxe_zerorows","Zero rows and columns of deluxe operators associated with primal dofs","none",pcbddc->deluxe_zerorows,&pcbddc->deluxe_zerorows,NULL);CHKERRQ(ierr);
103   ierr = PetscOptionsBool("-pc_bddc_deluxe_singlemat","Collapse deluxe operators","none",pcbddc->deluxe_singlemat,&pcbddc->deluxe_singlemat,NULL);CHKERRQ(ierr);
104   ierr = PetscOptionsBool("-pc_bddc_adaptive_userdefined","Use user-defined constraints (should be attached via MatSetNearNullSpace to pmat) in addition to those adaptively generated","none",pcbddc->adaptive_userdefined,&pcbddc->adaptive_userdefined,NULL);CHKERRQ(ierr);
105   nt   = 2;
106   ierr = PetscOptionsRealArray("-pc_bddc_adaptive_threshold","Thresholds to be used for adaptive selection of constraints","none",pcbddc->adaptive_threshold,&nt,NULL);CHKERRQ(ierr);
107   if (nt == 1) pcbddc->adaptive_threshold[1] = pcbddc->adaptive_threshold[0];
108   ierr = PetscOptionsInt("-pc_bddc_adaptive_nmin","Minimum number of constraints per connected components","none",pcbddc->adaptive_nmin,&pcbddc->adaptive_nmin,NULL);CHKERRQ(ierr);
109   ierr = PetscOptionsInt("-pc_bddc_adaptive_nmax","Maximum number of constraints per connected components","none",pcbddc->adaptive_nmax,&pcbddc->adaptive_nmax,NULL);CHKERRQ(ierr);
110   ierr = PetscOptionsBool("-pc_bddc_symmetric","Symmetric computation of primal basis functions","none",pcbddc->symmetric_primal,&pcbddc->symmetric_primal,NULL);CHKERRQ(ierr);
111   ierr = PetscOptionsInt("-pc_bddc_coarse_adj","Number of processors where to map the coarse adjacency list","none",pcbddc->coarse_adj_red,&pcbddc->coarse_adj_red,NULL);CHKERRQ(ierr);
112   ierr = PetscOptionsBool("-pc_bddc_benign_trick","Apply the benign subspace trick to saddle point problems with discontinuous pressures","none",pcbddc->benign_saddle_point,&pcbddc->benign_saddle_point,NULL);CHKERRQ(ierr);
113   ierr = PetscOptionsBool("-pc_bddc_benign_change","Compute the pressure change of basis explicitly","none",pcbddc->benign_change_explicit,&pcbddc->benign_change_explicit,NULL);CHKERRQ(ierr);
114   ierr = PetscOptionsBool("-pc_bddc_benign_compute_correction","Compute the benign correction during PreSolve","none",pcbddc->benign_compute_correction,&pcbddc->benign_compute_correction,NULL);CHKERRQ(ierr);
115   ierr = PetscOptionsBool("-pc_bddc_nonetflux","Automatic computation of no-net-flux quadrature weights","none",pcbddc->compute_nonetflux,&pcbddc->compute_nonetflux,NULL);CHKERRQ(ierr);
116   ierr = PetscOptionsBool("-pc_bddc_detect_disconnected","Detects disconnected subdomains","none",pcbddc->detect_disconnected,&pcbddc->detect_disconnected,NULL);CHKERRQ(ierr);
117   ierr = PetscOptionsBool("-pc_bddc_detect_disconnected_filter","Filters out small entries in the local matrix when detecting disconnected subdomains","none",pcbddc->detect_disconnected_filter,&pcbddc->detect_disconnected_filter,NULL);CHKERRQ(ierr);
118   ierr = PetscOptionsBool("-pc_bddc_eliminate_dirichlet","Whether or not we want to eliminate dirichlet dofs during presolve","none",pcbddc->eliminate_dirdofs,&pcbddc->eliminate_dirdofs,NULL);CHKERRQ(ierr);
119   ierr = PetscOptionsTail();CHKERRQ(ierr);
120   PetscFunctionReturn(0);
121 }
122 
123 static PetscErrorCode PCView_BDDC(PC pc,PetscViewer viewer)
124 {
125   PC_BDDC              *pcbddc = (PC_BDDC*)pc->data;
126   PC_IS                *pcis = (PC_IS*)pc->data;
127   PetscErrorCode       ierr;
128   PetscBool            isascii;
129   PetscSubcomm         subcomm;
130   PetscViewer          subviewer;
131 
132   PetscFunctionBegin;
133   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&isascii);CHKERRQ(ierr);
134   /* ASCII viewer */
135   if (isascii) {
136     PetscMPIInt   color,rank,size;
137     PetscInt64    loc[7],gsum[6],gmax[6],gmin[6],totbenign;
138     PetscScalar   interface_size;
139     PetscReal     ratio1=0.,ratio2=0.;
140     Vec           counter;
141 
142     if (!pc->setupcalled) {
143       ierr = PetscViewerASCIIPrintf(viewer,"  Partial information available: preconditioner has not been setup yet\n");CHKERRQ(ierr);
144     }
145     ierr = PetscViewerASCIIPrintf(viewer,"  Use verbose output: %D\n",pcbddc->dbg_flag);CHKERRQ(ierr);
146     ierr = PetscViewerASCIIPrintf(viewer,"  Use user-defined CSR: %d\n",!!pcbddc->mat_graph->nvtxs_csr);CHKERRQ(ierr);
147     ierr = PetscViewerASCIIPrintf(viewer,"  Use local mat graph: %d\n",pcbddc->use_local_adj && !pcbddc->mat_graph->nvtxs_csr);CHKERRQ(ierr);
148     if (pcbddc->mat_graph->twodim) {
149       ierr = PetscViewerASCIIPrintf(viewer,"  Connectivity graph topological dimension: 2\n");CHKERRQ(ierr);
150     } else {
151       ierr = PetscViewerASCIIPrintf(viewer,"  Connectivity graph topological dimension: 3\n");CHKERRQ(ierr);
152     }
153     if (pcbddc->graphmaxcount != PETSC_MAX_INT) {
154       ierr = PetscViewerASCIIPrintf(viewer,"  Graph max count: %D\n",pcbddc->graphmaxcount);CHKERRQ(ierr);
155     }
156     ierr = PetscViewerASCIIPrintf(viewer,"  Use vertices: %d (vertex size %D)\n",pcbddc->use_vertices,pcbddc->vertex_size);CHKERRQ(ierr);
157     ierr = PetscViewerASCIIPrintf(viewer,"  Use edges: %d\n",pcbddc->use_edges);CHKERRQ(ierr);
158     ierr = PetscViewerASCIIPrintf(viewer,"  Use faces: %d\n",pcbddc->use_faces);CHKERRQ(ierr);
159     ierr = PetscViewerASCIIPrintf(viewer,"  Use true near null space: %d\n",pcbddc->use_nnsp_true);CHKERRQ(ierr);
160     ierr = PetscViewerASCIIPrintf(viewer,"  Use QR for single constraints on cc: %d\n",pcbddc->use_qr_single);CHKERRQ(ierr);
161     ierr = PetscViewerASCIIPrintf(viewer,"  Use change of basis on local edge nodes: %d\n",pcbddc->use_change_of_basis);CHKERRQ(ierr);
162     ierr = PetscViewerASCIIPrintf(viewer,"  Use change of basis on local face nodes: %d\n",pcbddc->use_change_on_faces);CHKERRQ(ierr);
163     ierr = PetscViewerASCIIPrintf(viewer,"  User defined change of basis matrix: %d\n",!!pcbddc->user_ChangeOfBasisMatrix);CHKERRQ(ierr);
164     ierr = PetscViewerASCIIPrintf(viewer,"  Has change of basis matrix: %d\n",!!pcbddc->ChangeOfBasisMatrix);CHKERRQ(ierr);
165     ierr = PetscViewerASCIIPrintf(viewer,"  Eliminate dirichlet boundary dofs: %d\n",pcbddc->eliminate_dirdofs);CHKERRQ(ierr);
166     ierr = PetscViewerASCIIPrintf(viewer,"  Switch on static condensation ops around the interface preconditioner: %d\n",pcbddc->switch_static);CHKERRQ(ierr);
167     ierr = PetscViewerASCIIPrintf(viewer,"  Use exact dirichlet trick: %d\n",pcbddc->use_exact_dirichlet_trick);CHKERRQ(ierr);
168     ierr = PetscViewerASCIIPrintf(viewer,"  Multilevel max levels: %D\n",pcbddc->max_levels);CHKERRQ(ierr);
169     ierr = PetscViewerASCIIPrintf(viewer,"  Multilevel coarsening ratio: %D\n",pcbddc->coarsening_ratio);CHKERRQ(ierr);
170     ierr = PetscViewerASCIIPrintf(viewer,"  Use estimated eigs for coarse problem: %d\n",pcbddc->use_coarse_estimates);CHKERRQ(ierr);
171     ierr = PetscViewerASCIIPrintf(viewer,"  Use deluxe scaling: %d\n",pcbddc->use_deluxe_scaling);CHKERRQ(ierr);
172     ierr = PetscViewerASCIIPrintf(viewer,"  Use deluxe zerorows: %d\n",pcbddc->deluxe_zerorows);CHKERRQ(ierr);
173     ierr = PetscViewerASCIIPrintf(viewer,"  Use deluxe singlemat: %d\n",pcbddc->deluxe_singlemat);CHKERRQ(ierr);
174     ierr = PetscViewerASCIIPrintf(viewer,"  Rebuild interface graph for Schur principal minors: %d\n",pcbddc->sub_schurs_rebuild);CHKERRQ(ierr);
175     ierr = PetscViewerASCIIPrintf(viewer,"  Number of dofs' layers for the computation of principal minors: %D\n",pcbddc->sub_schurs_layers);CHKERRQ(ierr);
176     ierr = PetscViewerASCIIPrintf(viewer,"  Use user CSR graph to compute successive layers: %d\n",pcbddc->sub_schurs_use_useradj);CHKERRQ(ierr);
177     if (pcbddc->adaptive_threshold[1] != pcbddc->adaptive_threshold[0]) {
178       ierr = PetscViewerASCIIPrintf(viewer,"  Adaptive constraint selection thresholds (active %d, userdefined %d): %g,%g\n",pcbddc->adaptive_selection,pcbddc->adaptive_userdefined,pcbddc->adaptive_threshold[0],pcbddc->adaptive_threshold[1]);CHKERRQ(ierr);
179     } else {
180       ierr = PetscViewerASCIIPrintf(viewer,"  Adaptive constraint selection threshold (active %d, userdefined %d): %g\n",pcbddc->adaptive_selection,pcbddc->adaptive_userdefined,pcbddc->adaptive_threshold[0]);CHKERRQ(ierr);
181     }
182     ierr = PetscViewerASCIIPrintf(viewer,"  Min constraints / connected component: %D\n",pcbddc->adaptive_nmin);CHKERRQ(ierr);
183     ierr = PetscViewerASCIIPrintf(viewer,"  Max constraints / connected component: %D\n",pcbddc->adaptive_nmax);CHKERRQ(ierr);
184     ierr = PetscViewerASCIIPrintf(viewer,"  Invert exact Schur complement for adaptive selection: %d\n",pcbddc->sub_schurs_exact_schur);CHKERRQ(ierr);
185     ierr = PetscViewerASCIIPrintf(viewer,"  Symmetric computation of primal basis functions: %d\n",pcbddc->symmetric_primal);CHKERRQ(ierr);
186     ierr = PetscViewerASCIIPrintf(viewer,"  Num. Procs. to map coarse adjacency list: %D\n",pcbddc->coarse_adj_red);CHKERRQ(ierr);
187     ierr = PetscViewerASCIIPrintf(viewer,"  Coarse eqs per proc (significant at the coarsest level): %D\n",pcbddc->coarse_eqs_per_proc);CHKERRQ(ierr);
188     ierr = PetscViewerASCIIPrintf(viewer,"  Detect disconnected: %d (filter %d)\n",pcbddc->detect_disconnected,pcbddc->detect_disconnected_filter);CHKERRQ(ierr);
189     ierr = PetscViewerASCIIPrintf(viewer,"  Benign subspace trick: %d (change explicit %d)\n",pcbddc->benign_saddle_point,pcbddc->benign_change_explicit);CHKERRQ(ierr);
190     ierr = PetscViewerASCIIPrintf(viewer,"  Benign subspace trick is active: %d\n",pcbddc->benign_have_null);CHKERRQ(ierr);
191     ierr = PetscViewerASCIIPrintf(viewer,"  Algebraic computation of no-net-flux: %d\n",pcbddc->compute_nonetflux);CHKERRQ(ierr);
192     if (!pc->setupcalled) PetscFunctionReturn(0);
193 
194     /* compute interface size */
195     ierr = VecSet(pcis->vec1_B,1.0);CHKERRQ(ierr);
196     ierr = MatCreateVecs(pc->pmat,&counter,0);CHKERRQ(ierr);
197     ierr = VecSet(counter,0.0);CHKERRQ(ierr);
198     ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_B,counter,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
199     ierr = VecScatterEnd(pcis->global_to_B,pcis->vec1_B,counter,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
200     ierr = VecSum(counter,&interface_size);CHKERRQ(ierr);
201     ierr = VecDestroy(&counter);CHKERRQ(ierr);
202 
203     /* compute some statistics on the domain decomposition */
204     gsum[0] = 1;
205     gsum[1] = gsum[2] = gsum[3] = gsum[4] = gsum[5] = 0;
206     loc[0]  = !!pcis->n;
207     loc[1]  = pcis->n - pcis->n_B;
208     loc[2]  = pcis->n_B;
209     loc[3]  = pcbddc->local_primal_size;
210     loc[4]  = pcis->n;
211     loc[5]  = pcbddc->n_local_subs > 0 ? pcbddc->n_local_subs : (pcis->n ? 1 : 0);
212     loc[6]  = pcbddc->benign_n;
213     ierr = MPI_Reduce(loc,gsum,6,MPIU_INT64,MPI_SUM,0,PetscObjectComm((PetscObject)pc));CHKERRQ(ierr);
214     if (!loc[0]) loc[1] = loc[2] = loc[3] = loc[4] = loc[5] = -1;
215     ierr = MPI_Reduce(loc,gmax,6,MPIU_INT64,MPI_MAX,0,PetscObjectComm((PetscObject)pc));CHKERRQ(ierr);
216     if (!loc[0]) loc[1] = loc[2] = loc[3] = loc[4] = loc[5] = PETSC_MAX_INT;
217     ierr = MPI_Reduce(loc,gmin,6,MPIU_INT64,MPI_MIN,0,PetscObjectComm((PetscObject)pc));CHKERRQ(ierr);
218     ierr = MPI_Reduce(&loc[6],&totbenign,1,MPIU_INT64,MPI_SUM,0,PetscObjectComm((PetscObject)pc));CHKERRQ(ierr);
219     if (pcbddc->coarse_size) {
220       ratio1 = pc->pmat->rmap->N/(1.*pcbddc->coarse_size);
221       ratio2 = PetscRealPart(interface_size)/pcbddc->coarse_size;
222     }
223     ierr = PetscViewerASCIIPrintf(viewer,"********************************** STATISTICS AT LEVEL %d **********************************\n",pcbddc->current_level);CHKERRQ(ierr);
224     ierr = PetscViewerASCIIPrintf(viewer,"  Global dofs sizes: all %D interface %D coarse %D\n",pc->pmat->rmap->N,(PetscInt)PetscRealPart(interface_size),pcbddc->coarse_size);CHKERRQ(ierr);
225     ierr = PetscViewerASCIIPrintf(viewer,"  Coarsening ratios: all/coarse %D interface/coarse %D\n",(PetscInt)ratio1,(PetscInt)ratio2);CHKERRQ(ierr);
226     ierr = PetscViewerASCIIPrintf(viewer,"  Active processes : %D\n",(PetscInt)gsum[0]);CHKERRQ(ierr);
227     ierr = PetscViewerASCIIPrintf(viewer,"  Total subdomains : %D\n",(PetscInt)gsum[5]);CHKERRQ(ierr);
228     if (pcbddc->benign_have_null) {
229       ierr = PetscViewerASCIIPrintf(viewer,"  Benign subs      : %D\n",(PetscInt)totbenign);CHKERRQ(ierr);
230     }
231     ierr = PetscViewerASCIIPrintf(viewer,"  Dofs type        :\tMIN\tMAX\tMEAN\n");CHKERRQ(ierr);
232     ierr = PetscViewerASCIIPrintf(viewer,"  Interior  dofs   :\t%D\t%D\t%D\n",(PetscInt)gmin[1],(PetscInt)gmax[1],(PetscInt)(gsum[1]/gsum[0]));CHKERRQ(ierr);
233     ierr = PetscViewerASCIIPrintf(viewer,"  Interface dofs   :\t%D\t%D\t%D\n",(PetscInt)gmin[2],(PetscInt)gmax[2],(PetscInt)(gsum[2]/gsum[0]));CHKERRQ(ierr);
234     ierr = PetscViewerASCIIPrintf(viewer,"  Primal    dofs   :\t%D\t%D\t%D\n",(PetscInt)gmin[3],(PetscInt)gmax[3],(PetscInt)(gsum[3]/gsum[0]));CHKERRQ(ierr);
235     ierr = PetscViewerASCIIPrintf(viewer,"  Local     dofs   :\t%D\t%D\t%D\n",(PetscInt)gmin[4],(PetscInt)gmax[4],(PetscInt)(gsum[4]/gsum[0]));CHKERRQ(ierr);
236     ierr = PetscViewerASCIIPrintf(viewer,"  Local     subs   :\t%D\t%D\n"    ,(PetscInt)gmin[5],(PetscInt)gmax[5]);CHKERRQ(ierr);
237     ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
238 
239     ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)pc),&rank);CHKERRQ(ierr);
240 
241     /* local solvers */
242     ierr = PetscViewerGetSubViewer(viewer,PetscObjectComm((PetscObject)pcbddc->ksp_D),&subviewer);CHKERRQ(ierr);
243     if (!rank) {
244       ierr = PetscViewerASCIIPrintf(subviewer,"--- Interior solver (rank 0)\n");CHKERRQ(ierr);
245       ierr = PetscViewerASCIIPushTab(subviewer);CHKERRQ(ierr);
246       ierr = KSPView(pcbddc->ksp_D,subviewer);CHKERRQ(ierr);
247       ierr = PetscViewerASCIIPopTab(subviewer);CHKERRQ(ierr);
248       ierr = PetscViewerASCIIPrintf(subviewer,"--- Correction solver (rank 0)\n");CHKERRQ(ierr);
249       ierr = PetscViewerASCIIPushTab(subviewer);CHKERRQ(ierr);
250       ierr = KSPView(pcbddc->ksp_R,subviewer);CHKERRQ(ierr);
251       ierr = PetscViewerASCIIPopTab(subviewer);CHKERRQ(ierr);
252       ierr = PetscViewerFlush(subviewer);CHKERRQ(ierr);
253     }
254     ierr = PetscViewerRestoreSubViewer(viewer,PetscObjectComm((PetscObject)pcbddc->ksp_D),&subviewer);CHKERRQ(ierr);
255     ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
256 
257     /* the coarse problem can be handled by a different communicator */
258     if (pcbddc->coarse_ksp) color = 1;
259     else color = 0;
260     ierr = MPI_Comm_size(PetscObjectComm((PetscObject)pc),&size);CHKERRQ(ierr);
261     ierr = PetscSubcommCreate(PetscObjectComm((PetscObject)pc),&subcomm);CHKERRQ(ierr);
262     ierr = PetscSubcommSetNumber(subcomm,PetscMin(size,2));CHKERRQ(ierr);
263     ierr = PetscSubcommSetTypeGeneral(subcomm,color,rank);CHKERRQ(ierr);
264     ierr = PetscViewerGetSubViewer(viewer,PetscSubcommChild(subcomm),&subviewer);CHKERRQ(ierr);
265     if (color == 1) {
266       ierr = PetscViewerASCIIPrintf(subviewer,"--- Coarse solver\n");CHKERRQ(ierr);
267       ierr = PetscViewerASCIIPushTab(subviewer);CHKERRQ(ierr);
268       ierr = KSPView(pcbddc->coarse_ksp,subviewer);CHKERRQ(ierr);
269       ierr = PetscViewerASCIIPopTab(subviewer);CHKERRQ(ierr);
270       ierr = PetscViewerFlush(subviewer);CHKERRQ(ierr);
271     }
272     ierr = PetscViewerRestoreSubViewer(viewer,PetscSubcommChild(subcomm),&subviewer);CHKERRQ(ierr);
273     ierr = PetscSubcommDestroy(&subcomm);CHKERRQ(ierr);
274     ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
275   }
276   PetscFunctionReturn(0);
277 }
278 
279 static PetscErrorCode PCBDDCSetDiscreteGradient_BDDC(PC pc, Mat G, PetscInt order, PetscInt field, PetscBool global, PetscBool conforming)
280 {
281   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
282   PetscErrorCode ierr;
283 
284   PetscFunctionBegin;
285   ierr = PetscObjectReference((PetscObject)G);CHKERRQ(ierr);
286   ierr = MatDestroy(&pcbddc->discretegradient);CHKERRQ(ierr);
287   pcbddc->discretegradient = G;
288   pcbddc->nedorder         = order > 0 ? order : -order;
289   pcbddc->nedfield         = field;
290   pcbddc->nedglobal        = global;
291   pcbddc->conforming       = conforming;
292   PetscFunctionReturn(0);
293 }
294 
295 /*@
296  PCBDDCSetDiscreteGradient - Sets the discrete gradient
297 
298    Collective on PC
299 
300    Input Parameters:
301 +  pc         - the preconditioning context
302 .  G          - the discrete gradient matrix (should be in AIJ format)
303 .  order      - the order of the Nedelec space (1 for the lowest order)
304 .  field      - the field id of the Nedelec dofs (not used if the fields have not been specified)
305 .  global     - the type of global ordering for the rows of G
306 -  conforming - whether the mesh is conforming or not
307 
308    Level: advanced
309 
310    Notes:
311     The discrete gradient matrix G is used to analyze the subdomain edges, and it should not contain any zero entry.
312           For variable order spaces, the order should be set to zero.
313           If global is true, the rows of G should be given in global ordering for the whole dofs;
314           if false, the ordering should be global for the Nedelec field.
315           In the latter case, it should hold gid[i] < gid[j] iff geid[i] < geid[j], with gid the global orderding for all the dofs
316           and geid the one for the Nedelec field.
317 
318 .seealso: PCBDDC,PCBDDCSetDofsSplitting(),PCBDDCSetDofsSplittingLocal()
319 @*/
320 PetscErrorCode PCBDDCSetDiscreteGradient(PC pc, Mat G, PetscInt order, PetscInt field, PetscBool global, PetscBool conforming)
321 {
322   PetscErrorCode ierr;
323 
324   PetscFunctionBegin;
325   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
326   PetscValidHeaderSpecific(G,MAT_CLASSID,2);
327   PetscValidLogicalCollectiveInt(pc,order,3);
328   PetscValidLogicalCollectiveInt(pc,field,4);
329   PetscValidLogicalCollectiveBool(pc,global,5);
330   PetscValidLogicalCollectiveBool(pc,conforming,6);
331   PetscCheckSameComm(pc,1,G,2);
332   ierr = PetscTryMethod(pc,"PCBDDCSetDiscreteGradient_C",(PC,Mat,PetscInt,PetscInt,PetscBool,PetscBool),(pc,G,order,field,global,conforming));CHKERRQ(ierr);
333   PetscFunctionReturn(0);
334 }
335 
336 static PetscErrorCode PCBDDCSetDivergenceMat_BDDC(PC pc, Mat divudotp, PetscBool trans, IS vl2l)
337 {
338   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
339   PetscErrorCode ierr;
340 
341   PetscFunctionBegin;
342   ierr = PetscObjectReference((PetscObject)divudotp);CHKERRQ(ierr);
343   ierr = MatDestroy(&pcbddc->divudotp);CHKERRQ(ierr);
344   pcbddc->divudotp = divudotp;
345   pcbddc->divudotp_trans = trans;
346   pcbddc->compute_nonetflux = PETSC_TRUE;
347   if (vl2l) {
348     ierr = PetscObjectReference((PetscObject)vl2l);CHKERRQ(ierr);
349     ierr = ISDestroy(&pcbddc->divudotp_vl2l);CHKERRQ(ierr);
350     pcbddc->divudotp_vl2l = vl2l;
351   }
352   PetscFunctionReturn(0);
353 }
354 
355 /*@
356  PCBDDCSetDivergenceMat - Sets the linear operator representing \int_\Omega \div {\bf u} \cdot p dx
357 
358    Collective on PC
359 
360    Input Parameters:
361 +  pc - the preconditioning context
362 .  divudotp - the matrix (must be of type MATIS)
363 .  trans - if trans if false (resp. true), then pressures are in the test (trial) space and velocities are in the trial (test) space.
364 -  vl2l - optional index set describing the local (wrt the local matrix in divudotp) to local (wrt the local matrix in the preconditioning matrix) map for the velocities
365 
366    Level: advanced
367 
368    Notes:
369     This auxiliary matrix is used to compute quadrature weights representing the net-flux across subdomain boundaries
370           If vl2l is NULL, the local ordering for velocities in divudotp should match that of the preconditioning matrix
371 
372 .seealso: PCBDDC
373 @*/
374 PetscErrorCode PCBDDCSetDivergenceMat(PC pc, Mat divudotp, PetscBool trans, IS vl2l)
375 {
376   PetscBool      ismatis;
377   PetscErrorCode ierr;
378 
379   PetscFunctionBegin;
380   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
381   PetscValidHeaderSpecific(divudotp,MAT_CLASSID,2);
382   PetscCheckSameComm(pc,1,divudotp,2);
383   PetscValidLogicalCollectiveBool(pc,trans,3);
384   if (vl2l) PetscValidHeaderSpecific(vl2l,IS_CLASSID,4);
385   ierr = PetscObjectTypeCompare((PetscObject)divudotp,MATIS,&ismatis);CHKERRQ(ierr);
386   if (!ismatis) SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_ARG_WRONG,"Divergence matrix needs to be of type MATIS");
387   ierr = PetscTryMethod(pc,"PCBDDCSetDivergenceMat_C",(PC,Mat,PetscBool,IS),(pc,divudotp,trans,vl2l));CHKERRQ(ierr);
388   PetscFunctionReturn(0);
389 }
390 
391 static PetscErrorCode PCBDDCSetChangeOfBasisMat_BDDC(PC pc, Mat change, PetscBool interior)
392 {
393   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
394   PetscErrorCode ierr;
395 
396   PetscFunctionBegin;
397   ierr = PetscObjectReference((PetscObject)change);CHKERRQ(ierr);
398   ierr = MatDestroy(&pcbddc->user_ChangeOfBasisMatrix);CHKERRQ(ierr);
399   pcbddc->user_ChangeOfBasisMatrix = change;
400   pcbddc->change_interior = interior;
401   PetscFunctionReturn(0);
402 }
403 /*@
404  PCBDDCSetChangeOfBasisMat - Set user defined change of basis for dofs
405 
406    Collective on PC
407 
408    Input Parameters:
409 +  pc - the preconditioning context
410 .  change - the change of basis matrix
411 -  interior - whether or not the change of basis modifies interior dofs
412 
413    Level: intermediate
414 
415    Notes:
416 
417 .seealso: PCBDDC
418 @*/
419 PetscErrorCode PCBDDCSetChangeOfBasisMat(PC pc, Mat change, PetscBool interior)
420 {
421   PetscErrorCode ierr;
422 
423   PetscFunctionBegin;
424   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
425   PetscValidHeaderSpecific(change,MAT_CLASSID,2);
426   PetscCheckSameComm(pc,1,change,2);
427   if (pc->mat) {
428     PetscInt rows_c,cols_c,rows,cols;
429     ierr = MatGetSize(pc->mat,&rows,&cols);CHKERRQ(ierr);
430     ierr = MatGetSize(change,&rows_c,&cols_c);CHKERRQ(ierr);
431     if (rows_c != rows) SETERRQ2(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Invalid number of rows for change of basis matrix! %D != %D",rows_c,rows);
432     if (cols_c != cols) SETERRQ2(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Invalid number of columns for change of basis matrix! %D != %D",cols_c,cols);
433     ierr = MatGetLocalSize(pc->mat,&rows,&cols);CHKERRQ(ierr);
434     ierr = MatGetLocalSize(change,&rows_c,&cols_c);CHKERRQ(ierr);
435     if (rows_c != rows) SETERRQ2(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Invalid number of local rows for change of basis matrix! %D != %D",rows_c,rows);
436     if (cols_c != cols) SETERRQ2(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Invalid number of local columns for change of basis matrix! %D != %D",cols_c,cols);
437   }
438   ierr = PetscTryMethod(pc,"PCBDDCSetChangeOfBasisMat_C",(PC,Mat,PetscBool),(pc,change,interior));CHKERRQ(ierr);
439   PetscFunctionReturn(0);
440 }
441 
442 static PetscErrorCode PCBDDCSetPrimalVerticesIS_BDDC(PC pc, IS PrimalVertices)
443 {
444   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
445   PetscBool      isequal = PETSC_FALSE;
446   PetscErrorCode ierr;
447 
448   PetscFunctionBegin;
449   ierr = PetscObjectReference((PetscObject)PrimalVertices);CHKERRQ(ierr);
450   if (pcbddc->user_primal_vertices) {
451     ierr = ISEqual(PrimalVertices,pcbddc->user_primal_vertices,&isequal);CHKERRQ(ierr);
452   }
453   ierr = ISDestroy(&pcbddc->user_primal_vertices);CHKERRQ(ierr);
454   ierr = ISDestroy(&pcbddc->user_primal_vertices_local);CHKERRQ(ierr);
455   pcbddc->user_primal_vertices = PrimalVertices;
456   if (!isequal) pcbddc->recompute_topography = PETSC_TRUE;
457   PetscFunctionReturn(0);
458 }
459 
460 /*@
461  PCBDDCSetPrimalVerticesIS - Set additional user defined primal vertices in PCBDDC
462 
463    Collective
464 
465    Input Parameters:
466 +  pc - the preconditioning context
467 -  PrimalVertices - index set of primal vertices in global numbering (can be empty)
468 
469    Level: intermediate
470 
471    Notes:
472      Any process can list any global node
473 
474 .seealso: PCBDDC, PCBDDCGetPrimalVerticesIS(), PCBDDCSetPrimalVerticesLocalIS(), PCBDDCGetPrimalVerticesLocalIS()
475 @*/
476 PetscErrorCode PCBDDCSetPrimalVerticesIS(PC pc, IS PrimalVertices)
477 {
478   PetscErrorCode ierr;
479 
480   PetscFunctionBegin;
481   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
482   PetscValidHeaderSpecific(PrimalVertices,IS_CLASSID,2);
483   PetscCheckSameComm(pc,1,PrimalVertices,2);
484   ierr = PetscTryMethod(pc,"PCBDDCSetPrimalVerticesIS_C",(PC,IS),(pc,PrimalVertices));CHKERRQ(ierr);
485   PetscFunctionReturn(0);
486 }
487 
488 static PetscErrorCode PCBDDCGetPrimalVerticesIS_BDDC(PC pc, IS *is)
489 {
490   PC_BDDC *pcbddc = (PC_BDDC*)pc->data;
491 
492   PetscFunctionBegin;
493   *is = pcbddc->user_primal_vertices;
494   PetscFunctionReturn(0);
495 }
496 
497 /*@
498  PCBDDCGetPrimalVerticesIS - Get user defined primal vertices set with PCBDDCSetPrimalVerticesIS()
499 
500    Collective
501 
502    Input Parameters:
503 .  pc - the preconditioning context
504 
505    Output Parameters:
506 .  is - index set of primal vertices in global numbering (NULL if not set)
507 
508    Level: intermediate
509 
510    Notes:
511 
512 .seealso: PCBDDC, PCBDDCSetPrimalVerticesIS(), PCBDDCSetPrimalVerticesLocalIS(), PCBDDCGetPrimalVerticesLocalIS()
513 @*/
514 PetscErrorCode PCBDDCGetPrimalVerticesIS(PC pc, IS *is)
515 {
516   PetscErrorCode ierr;
517 
518   PetscFunctionBegin;
519   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
520   PetscValidPointer(is,2);
521   ierr = PetscUseMethod(pc,"PCBDDCGetPrimalVerticesIS_C",(PC,IS*),(pc,is));CHKERRQ(ierr);
522   PetscFunctionReturn(0);
523 }
524 
525 static PetscErrorCode PCBDDCSetPrimalVerticesLocalIS_BDDC(PC pc, IS PrimalVertices)
526 {
527   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
528   PetscBool      isequal = PETSC_FALSE;
529   PetscErrorCode ierr;
530 
531   PetscFunctionBegin;
532   ierr = PetscObjectReference((PetscObject)PrimalVertices);CHKERRQ(ierr);
533   if (pcbddc->user_primal_vertices_local) {
534     ierr = ISEqual(PrimalVertices,pcbddc->user_primal_vertices_local,&isequal);CHKERRQ(ierr);
535   }
536   ierr = ISDestroy(&pcbddc->user_primal_vertices);CHKERRQ(ierr);
537   ierr = ISDestroy(&pcbddc->user_primal_vertices_local);CHKERRQ(ierr);
538   pcbddc->user_primal_vertices_local = PrimalVertices;
539   if (!isequal) pcbddc->recompute_topography = PETSC_TRUE;
540   PetscFunctionReturn(0);
541 }
542 
543 /*@
544  PCBDDCSetPrimalVerticesLocalIS - Set additional user defined primal vertices in PCBDDC
545 
546    Collective
547 
548    Input Parameters:
549 +  pc - the preconditioning context
550 -  PrimalVertices - index set of primal vertices in local numbering (can be empty)
551 
552    Level: intermediate
553 
554    Notes:
555 
556 .seealso: PCBDDC, PCBDDCSetPrimalVerticesIS(), PCBDDCGetPrimalVerticesIS(), PCBDDCGetPrimalVerticesLocalIS()
557 @*/
558 PetscErrorCode PCBDDCSetPrimalVerticesLocalIS(PC pc, IS PrimalVertices)
559 {
560   PetscErrorCode ierr;
561 
562   PetscFunctionBegin;
563   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
564   PetscValidHeaderSpecific(PrimalVertices,IS_CLASSID,2);
565   PetscCheckSameComm(pc,1,PrimalVertices,2);
566   ierr = PetscTryMethod(pc,"PCBDDCSetPrimalVerticesLocalIS_C",(PC,IS),(pc,PrimalVertices));CHKERRQ(ierr);
567   PetscFunctionReturn(0);
568 }
569 
570 static PetscErrorCode PCBDDCGetPrimalVerticesLocalIS_BDDC(PC pc, IS *is)
571 {
572   PC_BDDC *pcbddc = (PC_BDDC*)pc->data;
573 
574   PetscFunctionBegin;
575   *is = pcbddc->user_primal_vertices_local;
576   PetscFunctionReturn(0);
577 }
578 
579 /*@
580  PCBDDCGetPrimalVerticesLocalIS - Get user defined primal vertices set with PCBDDCSetPrimalVerticesLocalIS()
581 
582    Collective
583 
584    Input Parameters:
585 .  pc - the preconditioning context
586 
587    Output Parameters:
588 .  is - index set of primal vertices in local numbering (NULL if not set)
589 
590    Level: intermediate
591 
592    Notes:
593 
594 .seealso: PCBDDC, PCBDDCSetPrimalVerticesIS(), PCBDDCGetPrimalVerticesIS(), PCBDDCSetPrimalVerticesLocalIS()
595 @*/
596 PetscErrorCode PCBDDCGetPrimalVerticesLocalIS(PC pc, IS *is)
597 {
598   PetscErrorCode ierr;
599 
600   PetscFunctionBegin;
601   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
602   PetscValidPointer(is,2);
603   ierr = PetscUseMethod(pc,"PCBDDCGetPrimalVerticesLocalIS_C",(PC,IS*),(pc,is));CHKERRQ(ierr);
604   PetscFunctionReturn(0);
605 }
606 
607 static PetscErrorCode PCBDDCSetCoarseningRatio_BDDC(PC pc,PetscInt k)
608 {
609   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
610 
611   PetscFunctionBegin;
612   pcbddc->coarsening_ratio = k;
613   PetscFunctionReturn(0);
614 }
615 
616 /*@
617  PCBDDCSetCoarseningRatio - Set coarsening ratio used in multilevel
618 
619    Logically collective on PC
620 
621    Input Parameters:
622 +  pc - the preconditioning context
623 -  k - coarsening ratio (H/h at the coarser level)
624 
625    Options Database Keys:
626 .    -pc_bddc_coarsening_ratio
627 
628    Level: intermediate
629 
630    Notes:
631      Approximatively k subdomains at the finer level will be aggregated into a single subdomain at the coarser level
632 
633 .seealso: PCBDDC, PCBDDCSetLevels()
634 @*/
635 PetscErrorCode PCBDDCSetCoarseningRatio(PC pc,PetscInt k)
636 {
637   PetscErrorCode ierr;
638 
639   PetscFunctionBegin;
640   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
641   PetscValidLogicalCollectiveInt(pc,k,2);
642   ierr = PetscTryMethod(pc,"PCBDDCSetCoarseningRatio_C",(PC,PetscInt),(pc,k));CHKERRQ(ierr);
643   PetscFunctionReturn(0);
644 }
645 
646 /* The following functions (PCBDDCSetUseExactDirichlet PCBDDCSetLevel) are not public */
647 static PetscErrorCode PCBDDCSetUseExactDirichlet_BDDC(PC pc,PetscBool flg)
648 {
649   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
650 
651   PetscFunctionBegin;
652   pcbddc->use_exact_dirichlet_trick = flg;
653   PetscFunctionReturn(0);
654 }
655 
656 PetscErrorCode PCBDDCSetUseExactDirichlet(PC pc,PetscBool flg)
657 {
658   PetscErrorCode ierr;
659 
660   PetscFunctionBegin;
661   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
662   PetscValidLogicalCollectiveBool(pc,flg,2);
663   ierr = PetscTryMethod(pc,"PCBDDCSetUseExactDirichlet_C",(PC,PetscBool),(pc,flg));CHKERRQ(ierr);
664   PetscFunctionReturn(0);
665 }
666 
667 static PetscErrorCode PCBDDCSetLevel_BDDC(PC pc,PetscInt level)
668 {
669   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
670 
671   PetscFunctionBegin;
672   pcbddc->current_level = level;
673   PetscFunctionReturn(0);
674 }
675 
676 PetscErrorCode PCBDDCSetLevel(PC pc,PetscInt level)
677 {
678   PetscErrorCode ierr;
679 
680   PetscFunctionBegin;
681   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
682   PetscValidLogicalCollectiveInt(pc,level,2);
683   ierr = PetscTryMethod(pc,"PCBDDCSetLevel_C",(PC,PetscInt),(pc,level));CHKERRQ(ierr);
684   PetscFunctionReturn(0);
685 }
686 
687 static PetscErrorCode PCBDDCSetLevels_BDDC(PC pc,PetscInt levels)
688 {
689   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
690 
691   PetscFunctionBegin;
692   if (levels > PETSC_PCBDDC_MAXLEVELS-1) SETERRQ1(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Maximum number of additional levels for BDDC is %d",PETSC_PCBDDC_MAXLEVELS-1);
693   pcbddc->max_levels = levels;
694   PetscFunctionReturn(0);
695 }
696 
697 /*@
698  PCBDDCSetLevels - Sets the maximum number of additional levels allowed for multilevel BDDC
699 
700    Logically collective on PC
701 
702    Input Parameters:
703 +  pc - the preconditioning context
704 -  levels - the maximum number of levels
705 
706    Options Database Keys:
707 .    -pc_bddc_levels
708 
709    Level: intermediate
710 
711    Notes:
712      The default value is 0, that gives the classical two-levels BDDC
713 
714 .seealso: PCBDDC, PCBDDCSetCoarseningRatio()
715 @*/
716 PetscErrorCode PCBDDCSetLevels(PC pc,PetscInt levels)
717 {
718   PetscErrorCode ierr;
719 
720   PetscFunctionBegin;
721   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
722   PetscValidLogicalCollectiveInt(pc,levels,2);
723   ierr = PetscTryMethod(pc,"PCBDDCSetLevels_C",(PC,PetscInt),(pc,levels));CHKERRQ(ierr);
724   PetscFunctionReturn(0);
725 }
726 
727 static PetscErrorCode PCBDDCSetDirichletBoundaries_BDDC(PC pc,IS DirichletBoundaries)
728 {
729   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
730   PetscBool      isequal = PETSC_FALSE;
731   PetscErrorCode ierr;
732 
733   PetscFunctionBegin;
734   ierr = PetscObjectReference((PetscObject)DirichletBoundaries);CHKERRQ(ierr);
735   if (pcbddc->DirichletBoundaries) {
736     ierr = ISEqual(DirichletBoundaries,pcbddc->DirichletBoundaries,&isequal);CHKERRQ(ierr);
737   }
738   /* last user setting takes precendence -> destroy any other customization */
739   ierr = ISDestroy(&pcbddc->DirichletBoundariesLocal);CHKERRQ(ierr);
740   ierr = ISDestroy(&pcbddc->DirichletBoundaries);CHKERRQ(ierr);
741   pcbddc->DirichletBoundaries = DirichletBoundaries;
742   if (!isequal) pcbddc->recompute_topography = PETSC_TRUE;
743   PetscFunctionReturn(0);
744 }
745 
746 /*@
747  PCBDDCSetDirichletBoundaries - Set IS defining Dirichlet boundaries for the global problem.
748 
749    Collective
750 
751    Input Parameters:
752 +  pc - the preconditioning context
753 -  DirichletBoundaries - parallel IS defining the Dirichlet boundaries
754 
755    Level: intermediate
756 
757    Notes:
758      Provide the information if you used MatZeroRows/Columns routines. Any process can list any global node
759 
760 .seealso: PCBDDC, PCBDDCSetDirichletBoundariesLocal(), MatZeroRows(), MatZeroRowsColumns()
761 @*/
762 PetscErrorCode PCBDDCSetDirichletBoundaries(PC pc,IS DirichletBoundaries)
763 {
764   PetscErrorCode ierr;
765 
766   PetscFunctionBegin;
767   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
768   PetscValidHeaderSpecific(DirichletBoundaries,IS_CLASSID,2);
769   PetscCheckSameComm(pc,1,DirichletBoundaries,2);
770   ierr = PetscTryMethod(pc,"PCBDDCSetDirichletBoundaries_C",(PC,IS),(pc,DirichletBoundaries));CHKERRQ(ierr);
771   PetscFunctionReturn(0);
772 }
773 
774 static PetscErrorCode PCBDDCSetDirichletBoundariesLocal_BDDC(PC pc,IS DirichletBoundaries)
775 {
776   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
777   PetscBool      isequal = PETSC_FALSE;
778   PetscErrorCode ierr;
779 
780   PetscFunctionBegin;
781   ierr = PetscObjectReference((PetscObject)DirichletBoundaries);CHKERRQ(ierr);
782   if (pcbddc->DirichletBoundariesLocal) {
783     ierr = ISEqual(DirichletBoundaries,pcbddc->DirichletBoundariesLocal,&isequal);CHKERRQ(ierr);
784   }
785   /* last user setting takes precendence -> destroy any other customization */
786   ierr = ISDestroy(&pcbddc->DirichletBoundariesLocal);CHKERRQ(ierr);
787   ierr = ISDestroy(&pcbddc->DirichletBoundaries);CHKERRQ(ierr);
788   pcbddc->DirichletBoundariesLocal = DirichletBoundaries;
789   if (!isequal) pcbddc->recompute_topography = PETSC_TRUE;
790   PetscFunctionReturn(0);
791 }
792 
793 /*@
794  PCBDDCSetDirichletBoundariesLocal - Set IS defining Dirichlet boundaries for the global problem in local ordering.
795 
796    Collective
797 
798    Input Parameters:
799 +  pc - the preconditioning context
800 -  DirichletBoundaries - parallel IS defining the Dirichlet boundaries (in local ordering)
801 
802    Level: intermediate
803 
804    Notes:
805 
806 .seealso: PCBDDC, PCBDDCSetDirichletBoundaries(), MatZeroRows(), MatZeroRowsColumns()
807 @*/
808 PetscErrorCode PCBDDCSetDirichletBoundariesLocal(PC pc,IS DirichletBoundaries)
809 {
810   PetscErrorCode ierr;
811 
812   PetscFunctionBegin;
813   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
814   PetscValidHeaderSpecific(DirichletBoundaries,IS_CLASSID,2);
815   PetscCheckSameComm(pc,1,DirichletBoundaries,2);
816   ierr = PetscTryMethod(pc,"PCBDDCSetDirichletBoundariesLocal_C",(PC,IS),(pc,DirichletBoundaries));CHKERRQ(ierr);
817   PetscFunctionReturn(0);
818 }
819 
820 static PetscErrorCode PCBDDCSetNeumannBoundaries_BDDC(PC pc,IS NeumannBoundaries)
821 {
822   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
823   PetscBool      isequal = PETSC_FALSE;
824   PetscErrorCode ierr;
825 
826   PetscFunctionBegin;
827   ierr = PetscObjectReference((PetscObject)NeumannBoundaries);CHKERRQ(ierr);
828   if (pcbddc->NeumannBoundaries) {
829     ierr = ISEqual(NeumannBoundaries,pcbddc->NeumannBoundaries,&isequal);CHKERRQ(ierr);
830   }
831   /* last user setting takes precendence -> destroy any other customization */
832   ierr = ISDestroy(&pcbddc->NeumannBoundariesLocal);CHKERRQ(ierr);
833   ierr = ISDestroy(&pcbddc->NeumannBoundaries);CHKERRQ(ierr);
834   pcbddc->NeumannBoundaries = NeumannBoundaries;
835   if (!isequal) pcbddc->recompute_topography = PETSC_TRUE;
836   PetscFunctionReturn(0);
837 }
838 
839 /*@
840  PCBDDCSetNeumannBoundaries - Set IS defining Neumann boundaries for the global problem.
841 
842    Collective
843 
844    Input Parameters:
845 +  pc - the preconditioning context
846 -  NeumannBoundaries - parallel IS defining the Neumann boundaries
847 
848    Level: intermediate
849 
850    Notes:
851      Any process can list any global node
852 
853 .seealso: PCBDDC, PCBDDCSetNeumannBoundariesLocal()
854 @*/
855 PetscErrorCode PCBDDCSetNeumannBoundaries(PC pc,IS NeumannBoundaries)
856 {
857   PetscErrorCode ierr;
858 
859   PetscFunctionBegin;
860   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
861   PetscValidHeaderSpecific(NeumannBoundaries,IS_CLASSID,2);
862   PetscCheckSameComm(pc,1,NeumannBoundaries,2);
863   ierr = PetscTryMethod(pc,"PCBDDCSetNeumannBoundaries_C",(PC,IS),(pc,NeumannBoundaries));CHKERRQ(ierr);
864   PetscFunctionReturn(0);
865 }
866 
867 static PetscErrorCode PCBDDCSetNeumannBoundariesLocal_BDDC(PC pc,IS NeumannBoundaries)
868 {
869   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
870   PetscBool      isequal = PETSC_FALSE;
871   PetscErrorCode ierr;
872 
873   PetscFunctionBegin;
874   ierr = PetscObjectReference((PetscObject)NeumannBoundaries);CHKERRQ(ierr);
875   if (pcbddc->NeumannBoundariesLocal) {
876     ierr = ISEqual(NeumannBoundaries,pcbddc->NeumannBoundariesLocal,&isequal);CHKERRQ(ierr);
877   }
878   /* last user setting takes precendence -> destroy any other customization */
879   ierr = ISDestroy(&pcbddc->NeumannBoundariesLocal);CHKERRQ(ierr);
880   ierr = ISDestroy(&pcbddc->NeumannBoundaries);CHKERRQ(ierr);
881   pcbddc->NeumannBoundariesLocal = NeumannBoundaries;
882   if (!isequal) pcbddc->recompute_topography = PETSC_TRUE;
883   PetscFunctionReturn(0);
884 }
885 
886 /*@
887  PCBDDCSetNeumannBoundariesLocal - Set IS defining Neumann boundaries for the global problem in local ordering.
888 
889    Collective
890 
891    Input Parameters:
892 +  pc - the preconditioning context
893 -  NeumannBoundaries - parallel IS defining the subdomain part of Neumann boundaries (in local ordering)
894 
895    Level: intermediate
896 
897    Notes:
898 
899 .seealso: PCBDDC, PCBDDCSetNeumannBoundaries()
900 @*/
901 PetscErrorCode PCBDDCSetNeumannBoundariesLocal(PC pc,IS NeumannBoundaries)
902 {
903   PetscErrorCode ierr;
904 
905   PetscFunctionBegin;
906   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
907   PetscValidHeaderSpecific(NeumannBoundaries,IS_CLASSID,2);
908   PetscCheckSameComm(pc,1,NeumannBoundaries,2);
909   ierr = PetscTryMethod(pc,"PCBDDCSetNeumannBoundariesLocal_C",(PC,IS),(pc,NeumannBoundaries));CHKERRQ(ierr);
910   PetscFunctionReturn(0);
911 }
912 
913 static PetscErrorCode PCBDDCGetDirichletBoundaries_BDDC(PC pc,IS *DirichletBoundaries)
914 {
915   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
916 
917   PetscFunctionBegin;
918   *DirichletBoundaries = pcbddc->DirichletBoundaries;
919   PetscFunctionReturn(0);
920 }
921 
922 /*@
923  PCBDDCGetDirichletBoundaries - Get parallel IS for Dirichlet boundaries
924 
925    Collective
926 
927    Input Parameters:
928 .  pc - the preconditioning context
929 
930    Output Parameters:
931 .  DirichletBoundaries - index set defining the Dirichlet boundaries
932 
933    Level: intermediate
934 
935    Notes:
936      The IS returned (if any) is the same passed in earlier by the user with PCBDDCSetDirichletBoundaries
937 
938 .seealso: PCBDDC
939 @*/
940 PetscErrorCode PCBDDCGetDirichletBoundaries(PC pc,IS *DirichletBoundaries)
941 {
942   PetscErrorCode ierr;
943 
944   PetscFunctionBegin;
945   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
946   ierr = PetscUseMethod(pc,"PCBDDCGetDirichletBoundaries_C",(PC,IS*),(pc,DirichletBoundaries));CHKERRQ(ierr);
947   PetscFunctionReturn(0);
948 }
949 
950 static PetscErrorCode PCBDDCGetDirichletBoundariesLocal_BDDC(PC pc,IS *DirichletBoundaries)
951 {
952   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
953 
954   PetscFunctionBegin;
955   *DirichletBoundaries = pcbddc->DirichletBoundariesLocal;
956   PetscFunctionReturn(0);
957 }
958 
959 /*@
960  PCBDDCGetDirichletBoundariesLocal - Get parallel IS for Dirichlet boundaries (in local ordering)
961 
962    Collective
963 
964    Input Parameters:
965 .  pc - the preconditioning context
966 
967    Output Parameters:
968 .  DirichletBoundaries - index set defining the subdomain part of Dirichlet boundaries
969 
970    Level: intermediate
971 
972    Notes:
973      The IS returned could be the same passed in earlier by the user (if provided with PCBDDCSetDirichletBoundariesLocal) or a global-to-local map of the global IS (if provided with PCBDDCSetDirichletBoundaries).
974           In the latter case, the IS will be available after PCSetUp.
975 
976 .seealso: PCBDDC
977 @*/
978 PetscErrorCode PCBDDCGetDirichletBoundariesLocal(PC pc,IS *DirichletBoundaries)
979 {
980   PetscErrorCode ierr;
981 
982   PetscFunctionBegin;
983   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
984   ierr = PetscUseMethod(pc,"PCBDDCGetDirichletBoundariesLocal_C",(PC,IS*),(pc,DirichletBoundaries));CHKERRQ(ierr);
985   PetscFunctionReturn(0);
986 }
987 
988 static PetscErrorCode PCBDDCGetNeumannBoundaries_BDDC(PC pc,IS *NeumannBoundaries)
989 {
990   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
991 
992   PetscFunctionBegin;
993   *NeumannBoundaries = pcbddc->NeumannBoundaries;
994   PetscFunctionReturn(0);
995 }
996 
997 /*@
998  PCBDDCGetNeumannBoundaries - Get parallel IS for Neumann boundaries
999 
1000    Collective
1001 
1002    Input Parameters:
1003 .  pc - the preconditioning context
1004 
1005    Output Parameters:
1006 .  NeumannBoundaries - index set defining the Neumann boundaries
1007 
1008    Level: intermediate
1009 
1010    Notes:
1011      The IS returned (if any) is the same passed in earlier by the user with PCBDDCSetNeumannBoundaries
1012 
1013 .seealso: PCBDDC
1014 @*/
1015 PetscErrorCode PCBDDCGetNeumannBoundaries(PC pc,IS *NeumannBoundaries)
1016 {
1017   PetscErrorCode ierr;
1018 
1019   PetscFunctionBegin;
1020   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
1021   ierr = PetscUseMethod(pc,"PCBDDCGetNeumannBoundaries_C",(PC,IS*),(pc,NeumannBoundaries));CHKERRQ(ierr);
1022   PetscFunctionReturn(0);
1023 }
1024 
1025 static PetscErrorCode PCBDDCGetNeumannBoundariesLocal_BDDC(PC pc,IS *NeumannBoundaries)
1026 {
1027   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
1028 
1029   PetscFunctionBegin;
1030   *NeumannBoundaries = pcbddc->NeumannBoundariesLocal;
1031   PetscFunctionReturn(0);
1032 }
1033 
1034 /*@
1035  PCBDDCGetNeumannBoundariesLocal - Get parallel IS for Neumann boundaries (in local ordering)
1036 
1037    Collective
1038 
1039    Input Parameters:
1040 .  pc - the preconditioning context
1041 
1042    Output Parameters:
1043 .  NeumannBoundaries - index set defining the subdomain part of Neumann boundaries
1044 
1045    Level: intermediate
1046 
1047    Notes:
1048      The IS returned could be the same passed in earlier by the user (if provided with PCBDDCSetNeumannBoundariesLocal) or a global-to-local map of the global IS (if provided with PCBDDCSetNeumannBoundaries).
1049           In the latter case, the IS will be available after PCSetUp.
1050 
1051 .seealso: PCBDDC
1052 @*/
1053 PetscErrorCode PCBDDCGetNeumannBoundariesLocal(PC pc,IS *NeumannBoundaries)
1054 {
1055   PetscErrorCode ierr;
1056 
1057   PetscFunctionBegin;
1058   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
1059   ierr = PetscUseMethod(pc,"PCBDDCGetNeumannBoundariesLocal_C",(PC,IS*),(pc,NeumannBoundaries));CHKERRQ(ierr);
1060   PetscFunctionReturn(0);
1061 }
1062 
1063 static PetscErrorCode PCBDDCSetLocalAdjacencyGraph_BDDC(PC pc, PetscInt nvtxs,const PetscInt xadj[],const PetscInt adjncy[], PetscCopyMode copymode)
1064 {
1065   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
1066   PCBDDCGraph    mat_graph = pcbddc->mat_graph;
1067   PetscBool      same_data = PETSC_FALSE;
1068   PetscErrorCode ierr;
1069 
1070   PetscFunctionBegin;
1071   if (!nvtxs) {
1072     if (copymode == PETSC_OWN_POINTER) {
1073       ierr = PetscFree(xadj);CHKERRQ(ierr);
1074       ierr = PetscFree(adjncy);CHKERRQ(ierr);
1075     }
1076     ierr = PCBDDCGraphResetCSR(mat_graph);CHKERRQ(ierr);
1077     PetscFunctionReturn(0);
1078   }
1079   if (mat_graph->nvtxs == nvtxs && mat_graph->freecsr) { /* we own the data */
1080     if (mat_graph->xadj == xadj && mat_graph->adjncy == adjncy) same_data = PETSC_TRUE;
1081     if (!same_data && mat_graph->xadj[nvtxs] == xadj[nvtxs]) {
1082       ierr = PetscMemcmp(xadj,mat_graph->xadj,(nvtxs+1)*sizeof(PetscInt),&same_data);CHKERRQ(ierr);
1083       if (same_data) {
1084         ierr = PetscMemcmp(adjncy,mat_graph->adjncy,xadj[nvtxs]*sizeof(PetscInt),&same_data);CHKERRQ(ierr);
1085       }
1086     }
1087   }
1088   if (!same_data) {
1089     /* free old CSR */
1090     ierr = PCBDDCGraphResetCSR(mat_graph);CHKERRQ(ierr);
1091     /* get CSR into graph structure */
1092     if (copymode == PETSC_COPY_VALUES) {
1093       ierr = PetscMalloc1(nvtxs+1,&mat_graph->xadj);CHKERRQ(ierr);
1094       ierr = PetscMalloc1(xadj[nvtxs],&mat_graph->adjncy);CHKERRQ(ierr);
1095       ierr = PetscMemcpy(mat_graph->xadj,xadj,(nvtxs+1)*sizeof(PetscInt));CHKERRQ(ierr);
1096       ierr = PetscMemcpy(mat_graph->adjncy,adjncy,xadj[nvtxs]*sizeof(PetscInt));CHKERRQ(ierr);
1097       mat_graph->freecsr = PETSC_TRUE;
1098     } else if (copymode == PETSC_OWN_POINTER) {
1099       mat_graph->xadj    = (PetscInt*)xadj;
1100       mat_graph->adjncy  = (PetscInt*)adjncy;
1101       mat_graph->freecsr = PETSC_TRUE;
1102     } else if (copymode == PETSC_USE_POINTER) {
1103       mat_graph->xadj    = (PetscInt*)xadj;
1104       mat_graph->adjncy  = (PetscInt*)adjncy;
1105       mat_graph->freecsr = PETSC_FALSE;
1106     } else SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"Unsupported copy mode %D",copymode);
1107     mat_graph->nvtxs_csr = nvtxs;
1108     pcbddc->recompute_topography = PETSC_TRUE;
1109   }
1110   PetscFunctionReturn(0);
1111 }
1112 
1113 /*@
1114  PCBDDCSetLocalAdjacencyGraph - Set adjacency structure (CSR graph) of the local degrees of freedom.
1115 
1116    Not collective
1117 
1118    Input Parameters:
1119 +  pc - the preconditioning context.
1120 .  nvtxs - number of local vertices of the graph (i.e., the number of local dofs).
1121 .  xadj, adjncy - the connectivity of the dofs in CSR format.
1122 -  copymode - supported modes are PETSC_COPY_VALUES, PETSC_USE_POINTER or PETSC_OWN_POINTER.
1123 
1124    Level: intermediate
1125 
1126    Notes:
1127     A dof is considered connected with all local dofs if xadj[dof+1]-xadj[dof] == 1 and adjncy[xadj[dof]] is negative.
1128 
1129 .seealso: PCBDDC,PetscCopyMode
1130 @*/
1131 PetscErrorCode PCBDDCSetLocalAdjacencyGraph(PC pc,PetscInt nvtxs,const PetscInt xadj[],const PetscInt adjncy[], PetscCopyMode copymode)
1132 {
1133   void (*f)(void) = 0;
1134   PetscErrorCode ierr;
1135 
1136   PetscFunctionBegin;
1137   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
1138   if (nvtxs) {
1139     PetscValidIntPointer(xadj,3);
1140     if (xadj[nvtxs]) PetscValidIntPointer(adjncy,4);
1141   }
1142   ierr = PetscTryMethod(pc,"PCBDDCSetLocalAdjacencyGraph_C",(PC,PetscInt,const PetscInt[],const PetscInt[],PetscCopyMode),(pc,nvtxs,xadj,adjncy,copymode));CHKERRQ(ierr);
1143   /* free arrays if PCBDDC is not the PC type */
1144   ierr = PetscObjectQueryFunction((PetscObject)pc,"PCBDDCSetLocalAdjacencyGraph_C",&f);CHKERRQ(ierr);
1145   if (!f && copymode == PETSC_OWN_POINTER) {
1146     ierr = PetscFree(xadj);CHKERRQ(ierr);
1147     ierr = PetscFree(adjncy);CHKERRQ(ierr);
1148   }
1149   PetscFunctionReturn(0);
1150 }
1151 
1152 static PetscErrorCode PCBDDCSetDofsSplittingLocal_BDDC(PC pc,PetscInt n_is, IS ISForDofs[])
1153 {
1154   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
1155   PetscInt       i;
1156   PetscBool      isequal = PETSC_FALSE;
1157   PetscErrorCode ierr;
1158 
1159   PetscFunctionBegin;
1160   if (pcbddc->n_ISForDofsLocal == n_is) {
1161     for (i=0;i<n_is;i++) {
1162       PetscBool isequalt;
1163       ierr = ISEqual(ISForDofs[i],pcbddc->ISForDofsLocal[i],&isequalt);CHKERRQ(ierr);
1164       if (!isequalt) break;
1165     }
1166     if (i == n_is) isequal = PETSC_TRUE;
1167   }
1168   for (i=0;i<n_is;i++) {
1169     ierr = PetscObjectReference((PetscObject)ISForDofs[i]);CHKERRQ(ierr);
1170   }
1171   /* Destroy ISes if they were already set */
1172   for (i=0;i<pcbddc->n_ISForDofsLocal;i++) {
1173     ierr = ISDestroy(&pcbddc->ISForDofsLocal[i]);CHKERRQ(ierr);
1174   }
1175   ierr = PetscFree(pcbddc->ISForDofsLocal);CHKERRQ(ierr);
1176   /* last user setting takes precendence -> destroy any other customization */
1177   for (i=0;i<pcbddc->n_ISForDofs;i++) {
1178     ierr = ISDestroy(&pcbddc->ISForDofs[i]);CHKERRQ(ierr);
1179   }
1180   ierr = PetscFree(pcbddc->ISForDofs);CHKERRQ(ierr);
1181   pcbddc->n_ISForDofs = 0;
1182   /* allocate space then set */
1183   if (n_is) {
1184     ierr = PetscMalloc1(n_is,&pcbddc->ISForDofsLocal);CHKERRQ(ierr);
1185   }
1186   for (i=0;i<n_is;i++) {
1187     pcbddc->ISForDofsLocal[i] = ISForDofs[i];
1188   }
1189   pcbddc->n_ISForDofsLocal = n_is;
1190   if (n_is) pcbddc->user_provided_isfordofs = PETSC_TRUE;
1191   if (!isequal) pcbddc->recompute_topography = PETSC_TRUE;
1192   PetscFunctionReturn(0);
1193 }
1194 
1195 /*@
1196  PCBDDCSetDofsSplittingLocal - Set index sets defining fields of the local subdomain matrix
1197 
1198    Collective
1199 
1200    Input Parameters:
1201 +  pc - the preconditioning context
1202 .  n_is - number of index sets defining the fields
1203 -  ISForDofs - array of IS describing the fields in local ordering
1204 
1205    Level: intermediate
1206 
1207    Notes:
1208      n_is should be the same among processes. Not all nodes need to be listed: unlisted nodes will belong to the complement field.
1209 
1210 .seealso: PCBDDC
1211 @*/
1212 PetscErrorCode PCBDDCSetDofsSplittingLocal(PC pc,PetscInt n_is, IS ISForDofs[])
1213 {
1214   PetscInt       i;
1215   PetscErrorCode ierr;
1216 
1217   PetscFunctionBegin;
1218   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
1219   PetscValidLogicalCollectiveInt(pc,n_is,2);
1220   for (i=0;i<n_is;i++) {
1221     PetscCheckSameComm(pc,1,ISForDofs[i],3);
1222     PetscValidHeaderSpecific(ISForDofs[i],IS_CLASSID,3);
1223   }
1224   ierr = PetscTryMethod(pc,"PCBDDCSetDofsSplittingLocal_C",(PC,PetscInt,IS[]),(pc,n_is,ISForDofs));CHKERRQ(ierr);
1225   PetscFunctionReturn(0);
1226 }
1227 
1228 static PetscErrorCode PCBDDCSetDofsSplitting_BDDC(PC pc,PetscInt n_is, IS ISForDofs[])
1229 {
1230   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
1231   PetscInt       i;
1232   PetscBool      isequal = PETSC_FALSE;
1233   PetscErrorCode ierr;
1234 
1235   PetscFunctionBegin;
1236   if (pcbddc->n_ISForDofs == n_is) {
1237     for (i=0;i<n_is;i++) {
1238       PetscBool isequalt;
1239       ierr = ISEqual(ISForDofs[i],pcbddc->ISForDofs[i],&isequalt);CHKERRQ(ierr);
1240       if (!isequalt) break;
1241     }
1242     if (i == n_is) isequal = PETSC_TRUE;
1243   }
1244   for (i=0;i<n_is;i++) {
1245     ierr = PetscObjectReference((PetscObject)ISForDofs[i]);CHKERRQ(ierr);
1246   }
1247   /* Destroy ISes if they were already set */
1248   for (i=0;i<pcbddc->n_ISForDofs;i++) {
1249     ierr = ISDestroy(&pcbddc->ISForDofs[i]);CHKERRQ(ierr);
1250   }
1251   ierr = PetscFree(pcbddc->ISForDofs);CHKERRQ(ierr);
1252   /* last user setting takes precendence -> destroy any other customization */
1253   for (i=0;i<pcbddc->n_ISForDofsLocal;i++) {
1254     ierr = ISDestroy(&pcbddc->ISForDofsLocal[i]);CHKERRQ(ierr);
1255   }
1256   ierr = PetscFree(pcbddc->ISForDofsLocal);CHKERRQ(ierr);
1257   pcbddc->n_ISForDofsLocal = 0;
1258   /* allocate space then set */
1259   if (n_is) {
1260     ierr = PetscMalloc1(n_is,&pcbddc->ISForDofs);CHKERRQ(ierr);
1261   }
1262   for (i=0;i<n_is;i++) {
1263     pcbddc->ISForDofs[i] = ISForDofs[i];
1264   }
1265   pcbddc->n_ISForDofs = n_is;
1266   if (n_is) pcbddc->user_provided_isfordofs = PETSC_TRUE;
1267   if (!isequal) pcbddc->recompute_topography = PETSC_TRUE;
1268   PetscFunctionReturn(0);
1269 }
1270 
1271 /*@
1272  PCBDDCSetDofsSplitting - Set index sets defining fields of the global matrix
1273 
1274    Collective
1275 
1276    Input Parameters:
1277 +  pc - the preconditioning context
1278 .  n_is - number of index sets defining the fields
1279 -  ISForDofs - array of IS describing the fields in global ordering
1280 
1281    Level: intermediate
1282 
1283    Notes:
1284      Any process can list any global node. Not all nodes need to be listed: unlisted nodes will belong to the complement field.
1285 
1286 .seealso: PCBDDC
1287 @*/
1288 PetscErrorCode PCBDDCSetDofsSplitting(PC pc,PetscInt n_is, IS ISForDofs[])
1289 {
1290   PetscInt       i;
1291   PetscErrorCode ierr;
1292 
1293   PetscFunctionBegin;
1294   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
1295   PetscValidLogicalCollectiveInt(pc,n_is,2);
1296   for (i=0;i<n_is;i++) {
1297     PetscValidHeaderSpecific(ISForDofs[i],IS_CLASSID,3);
1298     PetscCheckSameComm(pc,1,ISForDofs[i],3);
1299   }
1300   ierr = PetscTryMethod(pc,"PCBDDCSetDofsSplitting_C",(PC,PetscInt,IS[]),(pc,n_is,ISForDofs));CHKERRQ(ierr);
1301   PetscFunctionReturn(0);
1302 }
1303 
1304 /*
1305    PCPreSolve_BDDC - Changes the right hand side and (if necessary) the initial
1306                      guess if a transformation of basis approach has been selected.
1307 
1308    Input Parameter:
1309 +  pc - the preconditioner contex
1310 
1311    Application Interface Routine: PCPreSolve()
1312 
1313    Notes:
1314      The interface routine PCPreSolve() is not usually called directly by
1315    the user, but instead is called by KSPSolve().
1316 */
1317 static PetscErrorCode PCPreSolve_BDDC(PC pc, KSP ksp, Vec rhs, Vec x)
1318 {
1319   PetscErrorCode ierr;
1320   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
1321   PC_IS          *pcis = (PC_IS*)(pc->data);
1322   Vec            used_vec;
1323   PetscBool      iscg = PETSC_FALSE, save_rhs = PETSC_TRUE, benign_correction_computed;
1324 
1325   PetscFunctionBegin;
1326   /* if we are working with CG, one dirichlet solve can be avoided during Krylov iterations */
1327   if (ksp) {
1328     PetscBool isgroppcg, ispipecg, ispipelcg, ispipecgrr;
1329 
1330     ierr = PetscObjectTypeCompare((PetscObject)ksp,KSPCG,&iscg);CHKERRQ(ierr);
1331     ierr = PetscObjectTypeCompare((PetscObject)ksp,KSPGROPPCG,&isgroppcg);CHKERRQ(ierr);
1332     ierr = PetscObjectTypeCompare((PetscObject)ksp,KSPPIPECG,&ispipecg);CHKERRQ(ierr);
1333     ierr = PetscObjectTypeCompare((PetscObject)ksp,KSPPIPECG,&ispipelcg);CHKERRQ(ierr);
1334     ierr = PetscObjectTypeCompare((PetscObject)ksp,KSPPIPECGRR,&ispipecgrr);CHKERRQ(ierr);
1335     iscg = (PetscBool)(iscg || isgroppcg || ispipecg || ispipelcg || ispipecgrr);
1336     if (pcbddc->benign_apply_coarse_only || pcbddc->switch_static || !iscg || pc->mat != pc->pmat) {
1337       ierr = PCBDDCSetUseExactDirichlet(pc,PETSC_FALSE);CHKERRQ(ierr);
1338     }
1339   }
1340   if (pcbddc->benign_apply_coarse_only || pcbddc->switch_static || pc->mat != pc->pmat) {
1341     ierr = PCBDDCSetUseExactDirichlet(pc,PETSC_FALSE);CHKERRQ(ierr);
1342   }
1343 
1344   /* Creates parallel work vectors used in presolve */
1345   if (!pcbddc->original_rhs) {
1346     ierr = VecDuplicate(pcis->vec1_global,&pcbddc->original_rhs);CHKERRQ(ierr);
1347   }
1348   if (!pcbddc->temp_solution) {
1349     ierr = VecDuplicate(pcis->vec1_global,&pcbddc->temp_solution);CHKERRQ(ierr);
1350   }
1351 
1352   pcbddc->temp_solution_used = PETSC_FALSE;
1353   if (x) {
1354     ierr = PetscObjectReference((PetscObject)x);CHKERRQ(ierr);
1355     used_vec = x;
1356   } else { /* it can only happen when calling PCBDDCMatFETIDPGetRHS */
1357     ierr = PetscObjectReference((PetscObject)pcbddc->temp_solution);CHKERRQ(ierr);
1358     used_vec = pcbddc->temp_solution;
1359     ierr = VecSet(used_vec,0.0);CHKERRQ(ierr);
1360     pcbddc->temp_solution_used = PETSC_TRUE;
1361     ierr = VecCopy(rhs,pcbddc->original_rhs);CHKERRQ(ierr);
1362     save_rhs = PETSC_FALSE;
1363     pcbddc->eliminate_dirdofs = PETSC_TRUE;
1364   }
1365 
1366   /* hack into ksp data structure since PCPreSolve comes earlier than setting to zero the guess in src/ksp/ksp/interface/itfunc.c */
1367   if (ksp) {
1368     /* store the flag for the initial guess since it will be restored back during PCPostSolve_BDDC */
1369     ierr = KSPGetInitialGuessNonzero(ksp,&pcbddc->ksp_guess_nonzero);CHKERRQ(ierr);
1370     if (!pcbddc->ksp_guess_nonzero) {
1371       ierr = VecSet(used_vec,0.0);CHKERRQ(ierr);
1372     }
1373   }
1374 
1375   pcbddc->rhs_change = PETSC_FALSE;
1376   /* Take into account zeroed rows -> change rhs and store solution removed */
1377   if (rhs && pcbddc->eliminate_dirdofs) {
1378     IS dirIS = NULL;
1379 
1380     /* DirichletBoundariesLocal may not be consistent among neighbours; gets a dirichlet dofs IS from graph (may be cached) */
1381     ierr = PCBDDCGraphGetDirichletDofs(pcbddc->mat_graph,&dirIS);CHKERRQ(ierr);
1382     if (dirIS) {
1383       Mat_IS            *matis = (Mat_IS*)pc->pmat->data;
1384       PetscInt          dirsize,i,*is_indices;
1385       PetscScalar       *array_x;
1386       const PetscScalar *array_diagonal;
1387 
1388       ierr = MatGetDiagonal(pc->pmat,pcis->vec1_global);CHKERRQ(ierr);
1389       ierr = VecPointwiseDivide(pcis->vec1_global,rhs,pcis->vec1_global);CHKERRQ(ierr);
1390       ierr = VecScatterBegin(matis->rctx,pcis->vec1_global,pcis->vec2_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1391       ierr = VecScatterEnd(matis->rctx,pcis->vec1_global,pcis->vec2_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1392       ierr = VecScatterBegin(matis->rctx,used_vec,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1393       ierr = VecScatterEnd(matis->rctx,used_vec,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1394       ierr = ISGetLocalSize(dirIS,&dirsize);CHKERRQ(ierr);
1395       ierr = VecGetArray(pcis->vec1_N,&array_x);CHKERRQ(ierr);
1396       ierr = VecGetArrayRead(pcis->vec2_N,&array_diagonal);CHKERRQ(ierr);
1397       ierr = ISGetIndices(dirIS,(const PetscInt**)&is_indices);CHKERRQ(ierr);
1398       for (i=0; i<dirsize; i++) array_x[is_indices[i]] = array_diagonal[is_indices[i]];
1399       ierr = ISRestoreIndices(dirIS,(const PetscInt**)&is_indices);CHKERRQ(ierr);
1400       ierr = VecRestoreArrayRead(pcis->vec2_N,&array_diagonal);CHKERRQ(ierr);
1401       ierr = VecRestoreArray(pcis->vec1_N,&array_x);CHKERRQ(ierr);
1402       ierr = VecScatterBegin(matis->rctx,pcis->vec1_N,used_vec,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1403       ierr = VecScatterEnd(matis->rctx,pcis->vec1_N,used_vec,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1404       pcbddc->rhs_change = PETSC_TRUE;
1405       ierr = ISDestroy(&dirIS);CHKERRQ(ierr);
1406     }
1407   }
1408 
1409   /* remove the computed solution or the initial guess from the rhs */
1410   if (pcbddc->rhs_change || (ksp && pcbddc->ksp_guess_nonzero) ) {
1411     /* save the original rhs */
1412     if (save_rhs) {
1413       ierr = VecSwap(rhs,pcbddc->original_rhs);CHKERRQ(ierr);
1414       save_rhs = PETSC_FALSE;
1415     }
1416     pcbddc->rhs_change = PETSC_TRUE;
1417     ierr = VecScale(used_vec,-1.0);CHKERRQ(ierr);
1418     ierr = MatMultAdd(pc->mat,used_vec,pcbddc->original_rhs,rhs);CHKERRQ(ierr);
1419     ierr = VecScale(used_vec,-1.0);CHKERRQ(ierr);
1420     ierr = VecCopy(used_vec,pcbddc->temp_solution);CHKERRQ(ierr);
1421     pcbddc->temp_solution_used = PETSC_TRUE;
1422     if (ksp) {
1423       ierr = KSPSetInitialGuessNonzero(ksp,PETSC_FALSE);CHKERRQ(ierr);
1424     }
1425   }
1426   ierr = VecDestroy(&used_vec);CHKERRQ(ierr);
1427 
1428   /* compute initial vector in benign space if needed
1429      and remove non-benign solution from the rhs */
1430   benign_correction_computed = PETSC_FALSE;
1431   if (rhs && pcbddc->benign_compute_correction && (pcbddc->benign_have_null || pcbddc->benign_apply_coarse_only)) {
1432     /* compute u^*_h using ideas similar to those in Xuemin Tu's PhD thesis (see Section 4.8.1)
1433        Recursively apply BDDC in the multilevel case */
1434     if (!pcbddc->benign_vec) {
1435       ierr = VecDuplicate(rhs,&pcbddc->benign_vec);CHKERRQ(ierr);
1436     }
1437     /* keep applying coarse solver unless we no longer have benign subdomains */
1438     pcbddc->benign_apply_coarse_only = pcbddc->benign_have_null ? PETSC_TRUE : PETSC_FALSE;
1439     if (!pcbddc->benign_skip_correction) {
1440       ierr = PCApply_BDDC(pc,rhs,pcbddc->benign_vec);CHKERRQ(ierr);
1441       benign_correction_computed = PETSC_TRUE;
1442       if (pcbddc->temp_solution_used) {
1443         ierr = VecAXPY(pcbddc->temp_solution,1.0,pcbddc->benign_vec);CHKERRQ(ierr);
1444       }
1445       ierr = VecScale(pcbddc->benign_vec,-1.0);CHKERRQ(ierr);
1446       /* store the original rhs if not done earlier */
1447       if (save_rhs) {
1448         ierr = VecSwap(rhs,pcbddc->original_rhs);CHKERRQ(ierr);
1449       }
1450       if (pcbddc->rhs_change) {
1451         ierr = MatMultAdd(pc->mat,pcbddc->benign_vec,rhs,rhs);CHKERRQ(ierr);
1452       } else {
1453         ierr = MatMultAdd(pc->mat,pcbddc->benign_vec,pcbddc->original_rhs,rhs);CHKERRQ(ierr);
1454       }
1455       pcbddc->rhs_change = PETSC_TRUE;
1456     }
1457     pcbddc->benign_apply_coarse_only = PETSC_FALSE;
1458   } else {
1459     ierr = VecDestroy(&pcbddc->benign_vec);CHKERRQ(ierr);
1460   }
1461 
1462   /* dbg output */
1463   if (pcbddc->dbg_flag && benign_correction_computed) {
1464     Vec v;
1465 
1466     ierr = VecDuplicate(pcis->vec1_global,&v);CHKERRQ(ierr);
1467     if (pcbddc->ChangeOfBasisMatrix) {
1468       ierr = MatMultTranspose(pcbddc->ChangeOfBasisMatrix,rhs,v);CHKERRQ(ierr);
1469     } else {
1470       ierr = VecCopy(rhs,v);CHKERRQ(ierr);
1471     }
1472     ierr = PCBDDCBenignGetOrSetP0(pc,v,PETSC_TRUE);CHKERRQ(ierr);
1473     ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"LEVEL %D: is the correction benign?\n",pcbddc->current_level);CHKERRQ(ierr);
1474     ierr = PetscScalarView(pcbddc->benign_n,pcbddc->benign_p0,pcbddc->dbg_viewer);CHKERRQ(ierr);
1475     ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr);
1476     ierr = VecDestroy(&v);CHKERRQ(ierr);
1477   }
1478 
1479   /* set initial guess if using PCG */
1480   pcbddc->exact_dirichlet_trick_app = PETSC_FALSE;
1481   if (x && pcbddc->use_exact_dirichlet_trick) {
1482     ierr = VecSet(x,0.0);CHKERRQ(ierr);
1483     if (pcbddc->ChangeOfBasisMatrix && pcbddc->change_interior) {
1484       if (benign_correction_computed) { /* we have already saved the changed rhs */
1485         ierr = VecLockPop(pcis->vec1_global);CHKERRQ(ierr);
1486       } else {
1487         ierr = MatMultTranspose(pcbddc->ChangeOfBasisMatrix,rhs,pcis->vec1_global);CHKERRQ(ierr);
1488       }
1489       ierr = VecScatterBegin(pcis->global_to_D,pcis->vec1_global,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1490       ierr = VecScatterEnd(pcis->global_to_D,pcis->vec1_global,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1491     } else {
1492       ierr = VecScatterBegin(pcis->global_to_D,rhs,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1493       ierr = VecScatterEnd(pcis->global_to_D,rhs,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1494     }
1495     ierr = KSPSolve(pcbddc->ksp_D,pcis->vec1_D,pcis->vec2_D);CHKERRQ(ierr);
1496     ierr = KSPCheckSolve(pcbddc->ksp_D,pc,pcis->vec2_D);CHKERRQ(ierr);
1497     if (pcbddc->ChangeOfBasisMatrix && pcbddc->change_interior) {
1498       ierr = VecSet(pcis->vec1_global,0.);CHKERRQ(ierr);
1499       ierr = VecScatterBegin(pcis->global_to_D,pcis->vec2_D,pcis->vec1_global,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1500       ierr = VecScatterEnd(pcis->global_to_D,pcis->vec2_D,pcis->vec1_global,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1501       ierr = MatMult(pcbddc->ChangeOfBasisMatrix,pcis->vec1_global,x);CHKERRQ(ierr);
1502     } else {
1503       ierr = VecScatterBegin(pcis->global_to_D,pcis->vec2_D,x,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1504       ierr = VecScatterEnd(pcis->global_to_D,pcis->vec2_D,x,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1505     }
1506     if (ksp) {
1507       ierr = KSPSetInitialGuessNonzero(ksp,PETSC_TRUE);CHKERRQ(ierr);
1508     }
1509     pcbddc->exact_dirichlet_trick_app = PETSC_TRUE;
1510   } else if (pcbddc->ChangeOfBasisMatrix && pcbddc->change_interior && benign_correction_computed && pcbddc->use_exact_dirichlet_trick) {
1511     ierr = VecLockPop(pcis->vec1_global);CHKERRQ(ierr);
1512   }
1513   PetscFunctionReturn(0);
1514 }
1515 
1516 /*
1517    PCPostSolve_BDDC - Changes the computed solution if a transformation of basis
1518                      approach has been selected. Also, restores rhs to its original state.
1519 
1520    Input Parameter:
1521 +  pc - the preconditioner contex
1522 
1523    Application Interface Routine: PCPostSolve()
1524 
1525    Notes:
1526      The interface routine PCPostSolve() is not usually called directly by
1527      the user, but instead is called by KSPSolve().
1528 */
1529 static PetscErrorCode PCPostSolve_BDDC(PC pc, KSP ksp, Vec rhs, Vec x)
1530 {
1531   PetscErrorCode ierr;
1532   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
1533 
1534   PetscFunctionBegin;
1535   /* add solution removed in presolve */
1536   if (x && pcbddc->rhs_change) {
1537     if (pcbddc->temp_solution_used) {
1538       ierr = VecAXPY(x,1.0,pcbddc->temp_solution);CHKERRQ(ierr);
1539     } else if (pcbddc->benign_compute_correction && pcbddc->benign_vec) {
1540       ierr = VecAXPY(x,-1.0,pcbddc->benign_vec);CHKERRQ(ierr);
1541     }
1542     /* restore to original state (not for FETI-DP) */
1543     if (ksp) pcbddc->temp_solution_used = PETSC_FALSE;
1544   }
1545 
1546   /* restore rhs to its original state (not needed for FETI-DP) */
1547   if (rhs && pcbddc->rhs_change) {
1548     ierr = VecSwap(rhs,pcbddc->original_rhs);CHKERRQ(ierr);
1549     pcbddc->rhs_change = PETSC_FALSE;
1550   }
1551   /* restore ksp guess state */
1552   if (ksp) {
1553     ierr = KSPSetInitialGuessNonzero(ksp,pcbddc->ksp_guess_nonzero);CHKERRQ(ierr);
1554     /* reset flag for exact dirichlet trick */
1555     pcbddc->exact_dirichlet_trick_app = PETSC_FALSE;
1556   }
1557   PetscFunctionReturn(0);
1558 }
1559 
1560 /*
1561    PCSetUp_BDDC - Prepares for the use of the BDDC preconditioner
1562                   by setting data structures and options.
1563 
1564    Input Parameter:
1565 +  pc - the preconditioner context
1566 
1567    Application Interface Routine: PCSetUp()
1568 
1569    Notes:
1570      The interface routine PCSetUp() is not usually called directly by
1571      the user, but instead is called by PCApply() if necessary.
1572 */
1573 PetscErrorCode PCSetUp_BDDC(PC pc)
1574 {
1575   PC_BDDC*        pcbddc = (PC_BDDC*)pc->data;
1576   PCBDDCSubSchurs sub_schurs;
1577   Mat_IS*         matis;
1578   MatNullSpace    nearnullspace;
1579   Mat             lA;
1580   IS              lP,zerodiag = NULL;
1581   PetscInt        nrows,ncols;
1582   PetscMPIInt     size;
1583   PetscBool       computesubschurs;
1584   PetscBool       computeconstraintsmatrix;
1585   PetscBool       new_nearnullspace_provided,ismatis,rl;
1586   PetscErrorCode  ierr;
1587 
1588   PetscFunctionBegin;
1589   ierr = PetscObjectTypeCompare((PetscObject)pc->pmat,MATIS,&ismatis);CHKERRQ(ierr);
1590   if (!ismatis) SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_ARG_WRONG,"PCBDDC preconditioner requires matrix of type MATIS");
1591   ierr = MatGetSize(pc->pmat,&nrows,&ncols);CHKERRQ(ierr);
1592   if (nrows != ncols) SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"PCBDDC preconditioner requires a square preconditioning matrix");
1593   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)pc),&size);CHKERRQ(ierr);
1594 
1595   matis = (Mat_IS*)pc->pmat->data;
1596   /* the following lines of code should be replaced by a better logic between PCIS, PCNN, PCBDDC and other future nonoverlapping preconditioners */
1597   /* For BDDC we need to define a local "Neumann" problem different to that defined in PCISSetup
1598      Also, BDDC builds its own KSP for the Dirichlet problem */
1599   rl = pcbddc->recompute_topography;
1600   if (!pc->setupcalled || pc->flag == DIFFERENT_NONZERO_PATTERN) rl = PETSC_TRUE;
1601   ierr = MPIU_Allreduce(&rl,&pcbddc->recompute_topography,1,MPIU_BOOL,MPI_LOR,PetscObjectComm((PetscObject)pc));CHKERRQ(ierr);
1602   if (pcbddc->recompute_topography) {
1603     pcbddc->graphanalyzed    = PETSC_FALSE;
1604     computeconstraintsmatrix = PETSC_TRUE;
1605   } else {
1606     computeconstraintsmatrix = PETSC_FALSE;
1607   }
1608 
1609   /* check parameters' compatibility */
1610   if (!pcbddc->use_deluxe_scaling) pcbddc->deluxe_zerorows = PETSC_FALSE;
1611   pcbddc->adaptive_selection   = (PetscBool)(pcbddc->adaptive_threshold[0] != 0.0 || pcbddc->adaptive_threshold[1] != 0.0);
1612   pcbddc->use_deluxe_scaling   = (PetscBool)(pcbddc->use_deluxe_scaling && size > 1);
1613   pcbddc->adaptive_selection   = (PetscBool)(pcbddc->adaptive_selection && size > 1);
1614   pcbddc->adaptive_userdefined = (PetscBool)(pcbddc->adaptive_selection && pcbddc->adaptive_userdefined);
1615   if (pcbddc->adaptive_selection) pcbddc->use_faces = PETSC_TRUE;
1616 
1617   computesubschurs = (PetscBool)(pcbddc->adaptive_selection || pcbddc->use_deluxe_scaling);
1618 
1619   /* activate all connected components if the netflux has been requested */
1620   if (pcbddc->compute_nonetflux) {
1621     pcbddc->use_vertices = PETSC_TRUE;
1622     pcbddc->use_edges    = PETSC_TRUE;
1623     pcbddc->use_faces    = PETSC_TRUE;
1624   }
1625 
1626   /* Get stdout for dbg */
1627   if (pcbddc->dbg_flag) {
1628     if (!pcbddc->dbg_viewer) {
1629       pcbddc->dbg_viewer = PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)pc));
1630     }
1631     ierr = PetscViewerASCIIPushSynchronized(pcbddc->dbg_viewer);CHKERRQ(ierr);
1632     ierr = PetscViewerASCIIAddTab(pcbddc->dbg_viewer,2*pcbddc->current_level);CHKERRQ(ierr);
1633   }
1634 
1635   /* process topology information */
1636   ierr = PetscLogEventBegin(PC_BDDC_Topology[pcbddc->current_level],pc,0,0,0);CHKERRQ(ierr);
1637   if (pcbddc->recompute_topography) {
1638     ierr = PCBDDCComputeLocalTopologyInfo(pc);CHKERRQ(ierr);
1639     if (pcbddc->discretegradient) {
1640       ierr = PCBDDCNedelecSupport(pc);CHKERRQ(ierr);
1641     }
1642   }
1643 
1644   /* change basis if requested by the user */
1645   if (pcbddc->user_ChangeOfBasisMatrix) {
1646     /* use_change_of_basis flag is used to automatically compute a change of basis from constraints */
1647     pcbddc->use_change_of_basis = PETSC_FALSE;
1648     ierr = PCBDDCComputeLocalMatrix(pc,pcbddc->user_ChangeOfBasisMatrix);CHKERRQ(ierr);
1649   } else {
1650     ierr = MatDestroy(&pcbddc->local_mat);CHKERRQ(ierr);
1651     ierr = PetscObjectReference((PetscObject)matis->A);CHKERRQ(ierr);
1652     pcbddc->local_mat = matis->A;
1653   }
1654 
1655   /*
1656      Compute change of basis on local pressures (aka zerodiag dofs) with the benign trick
1657      This should come earlier then PCISSetUp for extracting the correct subdomain matrices
1658   */
1659   ierr = PCBDDCBenignShellMat(pc,PETSC_TRUE);CHKERRQ(ierr);
1660   if (pcbddc->benign_saddle_point) {
1661     PC_IS* pcis = (PC_IS*)pc->data;
1662 
1663     if (pcbddc->user_ChangeOfBasisMatrix || pcbddc->use_change_of_basis || !computesubschurs) pcbddc->benign_change_explicit = PETSC_TRUE;
1664     /* detect local saddle point and change the basis in pcbddc->local_mat */
1665     ierr = PCBDDCBenignDetectSaddlePoint(pc,(PetscBool)(!pcbddc->recompute_topography),&zerodiag);CHKERRQ(ierr);
1666     /* pop B0 mat from local mat */
1667     ierr = PCBDDCBenignPopOrPushB0(pc,PETSC_TRUE);CHKERRQ(ierr);
1668     /* give pcis a hint to not reuse submatrices during PCISCreate */
1669     if (pc->flag == SAME_NONZERO_PATTERN && pcis->reusesubmatrices == PETSC_TRUE) {
1670       if (pcbddc->benign_n && (pcbddc->benign_change_explicit || pcbddc->dbg_flag)) {
1671         pcis->reusesubmatrices = PETSC_FALSE;
1672       } else {
1673         pcis->reusesubmatrices = PETSC_TRUE;
1674       }
1675     } else {
1676       pcis->reusesubmatrices = PETSC_FALSE;
1677     }
1678   }
1679 
1680   /* propagate relevant information */
1681   if (matis->A->symmetric_set) {
1682     ierr = MatSetOption(pcbddc->local_mat,MAT_SYMMETRIC,matis->A->symmetric);CHKERRQ(ierr);
1683   }
1684   if (matis->A->spd_set) {
1685     ierr = MatSetOption(pcbddc->local_mat,MAT_SPD,matis->A->spd);CHKERRQ(ierr);
1686   }
1687 
1688   /* Set up all the "iterative substructuring" common block without computing solvers */
1689   {
1690     Mat temp_mat;
1691 
1692     temp_mat = matis->A;
1693     matis->A = pcbddc->local_mat;
1694     ierr = PCISSetUp(pc,PETSC_TRUE,PETSC_FALSE);CHKERRQ(ierr);
1695     pcbddc->local_mat = matis->A;
1696     matis->A = temp_mat;
1697   }
1698 
1699   /* Analyze interface */
1700   if (!pcbddc->graphanalyzed) {
1701     ierr = PCBDDCAnalyzeInterface(pc);CHKERRQ(ierr);
1702     computeconstraintsmatrix = PETSC_TRUE;
1703     if (pcbddc->adaptive_selection && !pcbddc->use_deluxe_scaling && !pcbddc->mat_graph->twodim) {
1704       SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Cannot compute the adaptive primal space for a problem with 3D edges without deluxe scaling");
1705     }
1706     if (pcbddc->compute_nonetflux) {
1707       MatNullSpace nnfnnsp;
1708 
1709       if (!pcbddc->divudotp) SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Missing divudotp operator");
1710       ierr = PCBDDCComputeNoNetFlux(pc->pmat,pcbddc->divudotp,pcbddc->divudotp_trans,pcbddc->divudotp_vl2l,pcbddc->mat_graph,&nnfnnsp);CHKERRQ(ierr);
1711       /* TODO what if a nearnullspace is already attached? */
1712       if (nnfnnsp) {
1713         ierr = MatSetNearNullSpace(pc->pmat,nnfnnsp);CHKERRQ(ierr);
1714         ierr = MatNullSpaceDestroy(&nnfnnsp);CHKERRQ(ierr);
1715       }
1716     }
1717   }
1718   ierr = PetscLogEventEnd(PC_BDDC_Topology[pcbddc->current_level],pc,0,0,0);CHKERRQ(ierr);
1719 
1720   /* check existence of a divergence free extension, i.e.
1721      b(v_I,p_0) = 0 for all v_I (raise error if not).
1722      Also, check that PCBDDCBenignGetOrSetP0 works */
1723   if (pcbddc->benign_saddle_point && pcbddc->dbg_flag > 1) {
1724     ierr = PCBDDCBenignCheck(pc,zerodiag);CHKERRQ(ierr);
1725   }
1726   ierr = ISDestroy(&zerodiag);CHKERRQ(ierr);
1727 
1728   /* Setup local dirichlet solver ksp_D and sub_schurs solvers */
1729   if (computesubschurs && pcbddc->recompute_topography) {
1730     ierr = PCBDDCInitSubSchurs(pc);CHKERRQ(ierr);
1731   }
1732   /* SetUp Scaling operator (scaling matrices could be needed in SubSchursSetUp)*/
1733   if (!pcbddc->use_deluxe_scaling) {
1734     ierr = PCBDDCScalingSetUp(pc);CHKERRQ(ierr);
1735   }
1736 
1737   /* finish setup solvers and do adaptive selection of constraints */
1738   sub_schurs = pcbddc->sub_schurs;
1739   if (sub_schurs && sub_schurs->schur_explicit) {
1740     if (computesubschurs) {
1741       ierr = PCBDDCSetUpSubSchurs(pc);CHKERRQ(ierr);
1742     }
1743     ierr = PCBDDCSetUpLocalSolvers(pc,PETSC_TRUE,PETSC_FALSE);CHKERRQ(ierr);
1744   } else {
1745     ierr = PCBDDCSetUpLocalSolvers(pc,PETSC_TRUE,PETSC_FALSE);CHKERRQ(ierr);
1746     if (computesubschurs) {
1747       ierr = PCBDDCSetUpSubSchurs(pc);CHKERRQ(ierr);
1748     }
1749   }
1750   if (pcbddc->adaptive_selection) {
1751     ierr = PCBDDCAdaptiveSelection(pc);CHKERRQ(ierr);
1752     computeconstraintsmatrix = PETSC_TRUE;
1753   }
1754 
1755   /* infer if NullSpace object attached to Mat via MatSetNearNullSpace has changed */
1756   new_nearnullspace_provided = PETSC_FALSE;
1757   ierr = MatGetNearNullSpace(pc->pmat,&nearnullspace);CHKERRQ(ierr);
1758   if (pcbddc->onearnullspace) { /* already used nearnullspace */
1759     if (!nearnullspace) { /* near null space attached to mat has been destroyed */
1760       new_nearnullspace_provided = PETSC_TRUE;
1761     } else {
1762       /* determine if the two nullspaces are different (should be lightweight) */
1763       if (nearnullspace != pcbddc->onearnullspace) {
1764         new_nearnullspace_provided = PETSC_TRUE;
1765       } else { /* maybe the user has changed the content of the nearnullspace so check vectors ObjectStateId */
1766         PetscInt         i;
1767         const Vec        *nearnullvecs;
1768         PetscObjectState state;
1769         PetscInt         nnsp_size;
1770         ierr = MatNullSpaceGetVecs(nearnullspace,NULL,&nnsp_size,&nearnullvecs);CHKERRQ(ierr);
1771         for (i=0;i<nnsp_size;i++) {
1772           ierr = PetscObjectStateGet((PetscObject)nearnullvecs[i],&state);CHKERRQ(ierr);
1773           if (pcbddc->onearnullvecs_state[i] != state) {
1774             new_nearnullspace_provided = PETSC_TRUE;
1775             break;
1776           }
1777         }
1778       }
1779     }
1780   } else {
1781     if (!nearnullspace) { /* both nearnullspaces are null */
1782       new_nearnullspace_provided = PETSC_FALSE;
1783     } else { /* nearnullspace attached later */
1784       new_nearnullspace_provided = PETSC_TRUE;
1785     }
1786   }
1787 
1788   /* Setup constraints and related work vectors */
1789   /* reset primal space flags */
1790   ierr = PetscLogEventBegin(PC_BDDC_LocalWork[pcbddc->current_level],pc,0,0,0);CHKERRQ(ierr);
1791   pcbddc->new_primal_space = PETSC_FALSE;
1792   pcbddc->new_primal_space_local = PETSC_FALSE;
1793   if (computeconstraintsmatrix || new_nearnullspace_provided) {
1794     /* It also sets the primal space flags */
1795     ierr = PCBDDCConstraintsSetUp(pc);CHKERRQ(ierr);
1796   }
1797   /* Allocate needed local vectors (which depends on quantities defined during ConstraintsSetUp) */
1798   ierr = PCBDDCSetUpLocalWorkVectors(pc);CHKERRQ(ierr);
1799 
1800   if (pcbddc->use_change_of_basis) {
1801     PC_IS *pcis = (PC_IS*)(pc->data);
1802 
1803     ierr = PCBDDCComputeLocalMatrix(pc,pcbddc->ChangeOfBasisMatrix);CHKERRQ(ierr);
1804     if (pcbddc->benign_change) {
1805       ierr = MatDestroy(&pcbddc->benign_B0);CHKERRQ(ierr);
1806       /* pop B0 from pcbddc->local_mat */
1807       ierr = PCBDDCBenignPopOrPushB0(pc,PETSC_TRUE);CHKERRQ(ierr);
1808     }
1809     /* get submatrices */
1810     ierr = MatDestroy(&pcis->A_IB);CHKERRQ(ierr);
1811     ierr = MatDestroy(&pcis->A_BI);CHKERRQ(ierr);
1812     ierr = MatDestroy(&pcis->A_BB);CHKERRQ(ierr);
1813     ierr = MatCreateSubMatrix(pcbddc->local_mat,pcis->is_B_local,pcis->is_B_local,MAT_INITIAL_MATRIX,&pcis->A_BB);CHKERRQ(ierr);
1814     ierr = MatCreateSubMatrix(pcbddc->local_mat,pcis->is_I_local,pcis->is_B_local,MAT_INITIAL_MATRIX,&pcis->A_IB);CHKERRQ(ierr);
1815     ierr = MatCreateSubMatrix(pcbddc->local_mat,pcis->is_B_local,pcis->is_I_local,MAT_INITIAL_MATRIX,&pcis->A_BI);CHKERRQ(ierr);
1816     /* set flag in pcis to not reuse submatrices during PCISCreate */
1817     pcis->reusesubmatrices = PETSC_FALSE;
1818   } else if (!pcbddc->user_ChangeOfBasisMatrix && !pcbddc->benign_change) {
1819     ierr = MatDestroy(&pcbddc->local_mat);CHKERRQ(ierr);
1820     ierr = PetscObjectReference((PetscObject)matis->A);CHKERRQ(ierr);
1821     pcbddc->local_mat = matis->A;
1822   }
1823 
1824   /* interface pressure block row for B_C */
1825   ierr = PetscObjectQuery((PetscObject)pc,"__KSPFETIDP_lP" ,(PetscObject*)&lP);CHKERRQ(ierr);
1826   ierr = PetscObjectQuery((PetscObject)pc,"__KSPFETIDP_lA" ,(PetscObject*)&lA);CHKERRQ(ierr);
1827   if (lA && lP) {
1828     PC_IS*    pcis = (PC_IS*)pc->data;
1829     Mat       B_BI,B_BB,Bt_BI,Bt_BB;
1830     PetscBool issym;
1831     ierr = MatIsSymmetric(lA,PETSC_SMALL,&issym);CHKERRQ(ierr);
1832     if (issym) {
1833       ierr = MatCreateSubMatrix(lA,lP,pcis->is_I_local,MAT_INITIAL_MATRIX,&B_BI);CHKERRQ(ierr);
1834       ierr = MatCreateSubMatrix(lA,lP,pcis->is_B_local,MAT_INITIAL_MATRIX,&B_BB);CHKERRQ(ierr);
1835       ierr = MatCreateTranspose(B_BI,&Bt_BI);CHKERRQ(ierr);
1836       ierr = MatCreateTranspose(B_BB,&Bt_BB);CHKERRQ(ierr);
1837     } else {
1838       ierr = MatCreateSubMatrix(lA,lP,pcis->is_I_local,MAT_INITIAL_MATRIX,&B_BI);CHKERRQ(ierr);
1839       ierr = MatCreateSubMatrix(lA,lP,pcis->is_B_local,MAT_INITIAL_MATRIX,&B_BB);CHKERRQ(ierr);
1840       ierr = MatCreateSubMatrix(lA,pcis->is_I_local,lP,MAT_INITIAL_MATRIX,&Bt_BI);CHKERRQ(ierr);
1841       ierr = MatCreateSubMatrix(lA,pcis->is_B_local,lP,MAT_INITIAL_MATRIX,&Bt_BB);CHKERRQ(ierr);
1842     }
1843     ierr = PetscObjectCompose((PetscObject)pc,"__KSPFETIDP_B_BI",(PetscObject)B_BI);CHKERRQ(ierr);
1844     ierr = PetscObjectCompose((PetscObject)pc,"__KSPFETIDP_B_BB",(PetscObject)B_BB);CHKERRQ(ierr);
1845     ierr = PetscObjectCompose((PetscObject)pc,"__KSPFETIDP_Bt_BI",(PetscObject)Bt_BI);CHKERRQ(ierr);
1846     ierr = PetscObjectCompose((PetscObject)pc,"__KSPFETIDP_Bt_BB",(PetscObject)Bt_BB);CHKERRQ(ierr);
1847     ierr = MatDestroy(&B_BI);CHKERRQ(ierr);
1848     ierr = MatDestroy(&B_BB);CHKERRQ(ierr);
1849     ierr = MatDestroy(&Bt_BI);CHKERRQ(ierr);
1850     ierr = MatDestroy(&Bt_BB);CHKERRQ(ierr);
1851   }
1852   ierr = PetscLogEventEnd(PC_BDDC_LocalWork[pcbddc->current_level],pc,0,0,0);CHKERRQ(ierr);
1853 
1854   /* SetUp coarse and local Neumann solvers */
1855   ierr = PCBDDCSetUpSolvers(pc);CHKERRQ(ierr);
1856   /* SetUp Scaling operator */
1857   if (pcbddc->use_deluxe_scaling) {
1858     ierr = PCBDDCScalingSetUp(pc);CHKERRQ(ierr);
1859   }
1860 
1861   /* mark topography as done */
1862   pcbddc->recompute_topography = PETSC_FALSE;
1863 
1864   /* wrap pcis->A_IB and pcis->A_BI if we did not change explicitly the variables on the pressures */
1865   ierr = PCBDDCBenignShellMat(pc,PETSC_FALSE);CHKERRQ(ierr);
1866 
1867   if (pcbddc->dbg_flag) {
1868     ierr = PetscViewerASCIISubtractTab(pcbddc->dbg_viewer,2*pcbddc->current_level);CHKERRQ(ierr);
1869     ierr = PetscViewerASCIIPopSynchronized(pcbddc->dbg_viewer);CHKERRQ(ierr);
1870   }
1871   PetscFunctionReturn(0);
1872 }
1873 
1874 /*
1875    PCApply_BDDC - Applies the BDDC operator to a vector.
1876 
1877    Input Parameters:
1878 +  pc - the preconditioner context
1879 -  r - input vector (global)
1880 
1881    Output Parameter:
1882 .  z - output vector (global)
1883 
1884    Application Interface Routine: PCApply()
1885  */
1886 PetscErrorCode PCApply_BDDC(PC pc,Vec r,Vec z)
1887 {
1888   PC_IS             *pcis = (PC_IS*)(pc->data);
1889   PC_BDDC           *pcbddc = (PC_BDDC*)(pc->data);
1890   Mat               lA = NULL;
1891   PetscInt          n_B = pcis->n_B, n_D = pcis->n - n_B;
1892   PetscErrorCode    ierr;
1893   const PetscScalar one = 1.0;
1894   const PetscScalar m_one = -1.0;
1895   const PetscScalar zero = 0.0;
1896 /* This code is similar to that provided in nn.c for PCNN
1897    NN interface preconditioner changed to BDDC
1898    Added support for M_3 preconditioner in the reference article (code is active if pcbddc->switch_static == PETSC_TRUE) */
1899 
1900   PetscFunctionBegin;
1901   ierr = PetscCitationsRegister(citation,&cited);CHKERRQ(ierr);
1902   if (pcbddc->switch_static) {
1903     ierr = MatISGetLocalMat(pc->useAmat ? pc->mat : pc->pmat,&lA);CHKERRQ(ierr);
1904   }
1905 
1906   if (pcbddc->ChangeOfBasisMatrix) {
1907     Vec swap;
1908 
1909     ierr = MatMultTranspose(pcbddc->ChangeOfBasisMatrix,r,pcbddc->work_change);CHKERRQ(ierr);
1910     swap = pcbddc->work_change;
1911     pcbddc->work_change = r;
1912     r = swap;
1913     /* save rhs so that we don't need to apply the change of basis for the exact dirichlet trick in PreSolve */
1914     if (pcbddc->benign_apply_coarse_only && pcbddc->use_exact_dirichlet_trick && pcbddc->change_interior) {
1915       ierr = VecCopy(r,pcis->vec1_global);CHKERRQ(ierr);
1916       ierr = VecLockPush(pcis->vec1_global);CHKERRQ(ierr);
1917     }
1918   }
1919   if (pcbddc->benign_have_null) { /* get p0 from r */
1920     ierr = PCBDDCBenignGetOrSetP0(pc,r,PETSC_TRUE);CHKERRQ(ierr);
1921   }
1922   if (!pcbddc->exact_dirichlet_trick_app && !pcbddc->benign_apply_coarse_only) {
1923     ierr = VecCopy(r,z);CHKERRQ(ierr);
1924     /* First Dirichlet solve */
1925     ierr = VecScatterBegin(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1926     ierr = VecScatterEnd(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1927     /*
1928       Assembling right hand side for BDDC operator
1929       - pcis->vec1_D for the Dirichlet part (if needed, i.e. pcbddc->switch_static == PETSC_TRUE)
1930       - pcis->vec1_B the interface part of the global vector z
1931     */
1932     if (n_D) {
1933       ierr = KSPSolve(pcbddc->ksp_D,pcis->vec1_D,pcis->vec2_D);CHKERRQ(ierr);
1934       ierr = KSPCheckSolve(pcbddc->ksp_D,pc,pcis->vec2_D);CHKERRQ(ierr);
1935       ierr = VecScale(pcis->vec2_D,m_one);CHKERRQ(ierr);
1936       if (pcbddc->switch_static) {
1937         ierr = VecSet(pcis->vec1_N,0.);CHKERRQ(ierr);
1938         ierr = VecScatterBegin(pcis->N_to_D,pcis->vec2_D,pcis->vec1_N,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1939         ierr = VecScatterEnd(pcis->N_to_D,pcis->vec2_D,pcis->vec1_N,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1940         if (!pcbddc->switch_static_change) {
1941           ierr = MatMult(lA,pcis->vec1_N,pcis->vec2_N);CHKERRQ(ierr);
1942         } else {
1943           ierr = MatMult(pcbddc->switch_static_change,pcis->vec1_N,pcis->vec2_N);CHKERRQ(ierr);
1944           ierr = MatMult(lA,pcis->vec2_N,pcis->vec1_N);CHKERRQ(ierr);
1945           ierr = MatMultTranspose(pcbddc->switch_static_change,pcis->vec1_N,pcis->vec2_N);CHKERRQ(ierr);
1946         }
1947         ierr = VecScatterBegin(pcis->N_to_D,pcis->vec2_N,pcis->vec1_D,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1948         ierr = VecScatterEnd(pcis->N_to_D,pcis->vec2_N,pcis->vec1_D,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1949         ierr = VecScatterBegin(pcis->N_to_B,pcis->vec2_N,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1950         ierr = VecScatterEnd(pcis->N_to_B,pcis->vec2_N,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1951       } else {
1952         ierr = MatMult(pcis->A_BI,pcis->vec2_D,pcis->vec1_B);CHKERRQ(ierr);
1953       }
1954     } else {
1955       ierr = VecSet(pcis->vec1_B,zero);CHKERRQ(ierr);
1956     }
1957     ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1958     ierr = VecScatterEnd(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1959     ierr = PCBDDCScalingRestriction(pc,z,pcis->vec1_B);CHKERRQ(ierr);
1960   } else {
1961     if (!pcbddc->benign_apply_coarse_only) {
1962       ierr = PCBDDCScalingRestriction(pc,r,pcis->vec1_B);CHKERRQ(ierr);
1963     }
1964   }
1965 
1966   /* Apply interface preconditioner
1967      input/output vecs: pcis->vec1_B and pcis->vec1_D */
1968   ierr = PCBDDCApplyInterfacePreconditioner(pc,PETSC_FALSE);CHKERRQ(ierr);
1969 
1970   /* Apply transpose of partition of unity operator */
1971   ierr = PCBDDCScalingExtension(pc,pcis->vec1_B,z);CHKERRQ(ierr);
1972 
1973   /* Second Dirichlet solve and assembling of output */
1974   ierr = VecScatterBegin(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1975   ierr = VecScatterEnd(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1976   if (n_B) {
1977     if (pcbddc->switch_static) {
1978       ierr = VecScatterBegin(pcis->N_to_D,pcis->vec1_D,pcis->vec1_N,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1979       ierr = VecScatterEnd(pcis->N_to_D,pcis->vec1_D,pcis->vec1_N,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1980       ierr = VecScatterBegin(pcis->N_to_B,pcis->vec1_B,pcis->vec1_N,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1981       ierr = VecScatterEnd(pcis->N_to_B,pcis->vec1_B,pcis->vec1_N,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1982       if (!pcbddc->switch_static_change) {
1983         ierr = MatMult(lA,pcis->vec1_N,pcis->vec2_N);CHKERRQ(ierr);
1984       } else {
1985         ierr = MatMult(pcbddc->switch_static_change,pcis->vec1_N,pcis->vec2_N);CHKERRQ(ierr);
1986         ierr = MatMult(lA,pcis->vec2_N,pcis->vec1_N);CHKERRQ(ierr);
1987         ierr = MatMultTranspose(pcbddc->switch_static_change,pcis->vec1_N,pcis->vec2_N);CHKERRQ(ierr);
1988       }
1989       ierr = VecScatterBegin(pcis->N_to_D,pcis->vec2_N,pcis->vec3_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1990       ierr = VecScatterEnd(pcis->N_to_D,pcis->vec2_N,pcis->vec3_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1991     } else {
1992       ierr = MatMult(pcis->A_IB,pcis->vec1_B,pcis->vec3_D);CHKERRQ(ierr);
1993     }
1994   } else if (pcbddc->switch_static) { /* n_B is zero */
1995     if (!pcbddc->switch_static_change) {
1996       ierr = MatMult(lA,pcis->vec1_D,pcis->vec3_D);CHKERRQ(ierr);
1997     } else {
1998       ierr = MatMult(pcbddc->switch_static_change,pcis->vec1_D,pcis->vec1_N);CHKERRQ(ierr);
1999       ierr = MatMult(lA,pcis->vec1_N,pcis->vec2_N);CHKERRQ(ierr);
2000       ierr = MatMultTranspose(pcbddc->switch_static_change,pcis->vec2_N,pcis->vec3_D);CHKERRQ(ierr);
2001     }
2002   }
2003   ierr = KSPSolve(pcbddc->ksp_D,pcis->vec3_D,pcis->vec4_D);CHKERRQ(ierr);
2004   ierr = KSPCheckSolve(pcbddc->ksp_D,pc,pcis->vec4_D);CHKERRQ(ierr);
2005 
2006   if (!pcbddc->exact_dirichlet_trick_app && !pcbddc->benign_apply_coarse_only) {
2007     if (pcbddc->switch_static) {
2008       ierr = VecAXPBYPCZ(pcis->vec2_D,m_one,one,m_one,pcis->vec4_D,pcis->vec1_D);CHKERRQ(ierr);
2009     } else {
2010       ierr = VecAXPBY(pcis->vec2_D,m_one,m_one,pcis->vec4_D);CHKERRQ(ierr);
2011     }
2012     ierr = VecScatterBegin(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2013     ierr = VecScatterEnd(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2014   } else {
2015     if (pcbddc->switch_static) {
2016       ierr = VecAXPBY(pcis->vec4_D,one,m_one,pcis->vec1_D);CHKERRQ(ierr);
2017     } else {
2018       ierr = VecScale(pcis->vec4_D,m_one);CHKERRQ(ierr);
2019     }
2020     ierr = VecScatterBegin(pcis->global_to_D,pcis->vec4_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2021     ierr = VecScatterEnd(pcis->global_to_D,pcis->vec4_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2022   }
2023   if (pcbddc->benign_have_null) { /* set p0 (computed in PCBDDCApplyInterface) */
2024     if (pcbddc->benign_apply_coarse_only) {
2025       ierr = PetscMemzero(pcbddc->benign_p0,pcbddc->benign_n*sizeof(PetscScalar));CHKERRQ(ierr);
2026     }
2027     ierr = PCBDDCBenignGetOrSetP0(pc,z,PETSC_FALSE);CHKERRQ(ierr);
2028   }
2029 
2030   if (pcbddc->ChangeOfBasisMatrix) {
2031     pcbddc->work_change = r;
2032     ierr = VecCopy(z,pcbddc->work_change);CHKERRQ(ierr);
2033     ierr = MatMult(pcbddc->ChangeOfBasisMatrix,pcbddc->work_change,z);CHKERRQ(ierr);
2034   }
2035   PetscFunctionReturn(0);
2036 }
2037 
2038 /*
2039    PCApplyTranspose_BDDC - Applies the transpose of the BDDC operator to a vector.
2040 
2041    Input Parameters:
2042 +  pc - the preconditioner context
2043 -  r - input vector (global)
2044 
2045    Output Parameter:
2046 .  z - output vector (global)
2047 
2048    Application Interface Routine: PCApplyTranspose()
2049  */
2050 PetscErrorCode PCApplyTranspose_BDDC(PC pc,Vec r,Vec z)
2051 {
2052   PC_IS             *pcis = (PC_IS*)(pc->data);
2053   PC_BDDC           *pcbddc = (PC_BDDC*)(pc->data);
2054   Mat               lA = NULL;
2055   PetscInt          n_B = pcis->n_B, n_D = pcis->n - n_B;
2056   PetscErrorCode    ierr;
2057   const PetscScalar one = 1.0;
2058   const PetscScalar m_one = -1.0;
2059   const PetscScalar zero = 0.0;
2060 
2061   PetscFunctionBegin;
2062   ierr = PetscCitationsRegister(citation,&cited);CHKERRQ(ierr);
2063   if (pcbddc->switch_static) {
2064     ierr = MatISGetLocalMat(pc->useAmat ? pc->mat : pc->pmat,&lA);CHKERRQ(ierr);
2065   }
2066   if (pcbddc->ChangeOfBasisMatrix) {
2067     Vec swap;
2068 
2069     ierr = MatMultTranspose(pcbddc->ChangeOfBasisMatrix,r,pcbddc->work_change);CHKERRQ(ierr);
2070     swap = pcbddc->work_change;
2071     pcbddc->work_change = r;
2072     r = swap;
2073     /* save rhs so that we don't need to apply the change of basis for the exact dirichlet trick in PreSolve */
2074     if (pcbddc->benign_apply_coarse_only && pcbddc->exact_dirichlet_trick_app && pcbddc->change_interior) {
2075       ierr = VecCopy(r,pcis->vec1_global);CHKERRQ(ierr);
2076       ierr = VecLockPush(pcis->vec1_global);CHKERRQ(ierr);
2077     }
2078   }
2079   if (pcbddc->benign_have_null) { /* get p0 from r */
2080     ierr = PCBDDCBenignGetOrSetP0(pc,r,PETSC_TRUE);CHKERRQ(ierr);
2081   }
2082   if (!pcbddc->exact_dirichlet_trick_app && !pcbddc->benign_apply_coarse_only) {
2083     ierr = VecCopy(r,z);CHKERRQ(ierr);
2084     /* First Dirichlet solve */
2085     ierr = VecScatterBegin(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2086     ierr = VecScatterEnd(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2087     /*
2088       Assembling right hand side for BDDC operator
2089       - pcis->vec1_D for the Dirichlet part (if needed, i.e. pcbddc->switch_static == PETSC_TRUE)
2090       - pcis->vec1_B the interface part of the global vector z
2091     */
2092     if (n_D) {
2093       ierr = KSPSolveTranspose(pcbddc->ksp_D,pcis->vec1_D,pcis->vec2_D);CHKERRQ(ierr);
2094       ierr = KSPCheckSolve(pcbddc->ksp_D,pc,pcis->vec2_D);CHKERRQ(ierr);
2095       ierr = VecScale(pcis->vec2_D,m_one);CHKERRQ(ierr);
2096       if (pcbddc->switch_static) {
2097         ierr = VecSet(pcis->vec1_N,0.);CHKERRQ(ierr);
2098         ierr = VecScatterBegin(pcis->N_to_D,pcis->vec2_D,pcis->vec1_N,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2099         ierr = VecScatterEnd(pcis->N_to_D,pcis->vec2_D,pcis->vec1_N,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2100         if (!pcbddc->switch_static_change) {
2101           ierr = MatMultTranspose(lA,pcis->vec1_N,pcis->vec2_N);CHKERRQ(ierr);
2102         } else {
2103           ierr = MatMult(pcbddc->switch_static_change,pcis->vec1_N,pcis->vec2_N);CHKERRQ(ierr);
2104           ierr = MatMultTranspose(lA,pcis->vec2_N,pcis->vec1_N);CHKERRQ(ierr);
2105           ierr = MatMultTranspose(pcbddc->switch_static_change,pcis->vec1_N,pcis->vec2_N);CHKERRQ(ierr);
2106         }
2107         ierr = VecScatterBegin(pcis->N_to_D,pcis->vec2_N,pcis->vec1_D,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2108         ierr = VecScatterEnd(pcis->N_to_D,pcis->vec2_N,pcis->vec1_D,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2109         ierr = VecScatterBegin(pcis->N_to_B,pcis->vec2_N,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2110         ierr = VecScatterEnd(pcis->N_to_B,pcis->vec2_N,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2111       } else {
2112         ierr = MatMultTranspose(pcis->A_IB,pcis->vec2_D,pcis->vec1_B);CHKERRQ(ierr);
2113       }
2114     } else {
2115       ierr = VecSet(pcis->vec1_B,zero);CHKERRQ(ierr);
2116     }
2117     ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2118     ierr = VecScatterEnd(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2119     ierr = PCBDDCScalingRestriction(pc,z,pcis->vec1_B);CHKERRQ(ierr);
2120   } else {
2121     ierr = PCBDDCScalingRestriction(pc,r,pcis->vec1_B);CHKERRQ(ierr);
2122   }
2123 
2124   /* Apply interface preconditioner
2125      input/output vecs: pcis->vec1_B and pcis->vec1_D */
2126   ierr = PCBDDCApplyInterfacePreconditioner(pc,PETSC_TRUE);CHKERRQ(ierr);
2127 
2128   /* Apply transpose of partition of unity operator */
2129   ierr = PCBDDCScalingExtension(pc,pcis->vec1_B,z);CHKERRQ(ierr);
2130 
2131   /* Second Dirichlet solve and assembling of output */
2132   ierr = VecScatterBegin(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2133   ierr = VecScatterEnd(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2134   if (n_B) {
2135     if (pcbddc->switch_static) {
2136       ierr = VecScatterBegin(pcis->N_to_D,pcis->vec1_D,pcis->vec1_N,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2137       ierr = VecScatterEnd(pcis->N_to_D,pcis->vec1_D,pcis->vec1_N,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2138       ierr = VecScatterBegin(pcis->N_to_B,pcis->vec1_B,pcis->vec1_N,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2139       ierr = VecScatterEnd(pcis->N_to_B,pcis->vec1_B,pcis->vec1_N,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2140       if (!pcbddc->switch_static_change) {
2141         ierr = MatMultTranspose(lA,pcis->vec1_N,pcis->vec2_N);CHKERRQ(ierr);
2142       } else {
2143         ierr = MatMult(pcbddc->switch_static_change,pcis->vec1_N,pcis->vec2_N);CHKERRQ(ierr);
2144         ierr = MatMultTranspose(lA,pcis->vec2_N,pcis->vec1_N);CHKERRQ(ierr);
2145         ierr = MatMultTranspose(pcbddc->switch_static_change,pcis->vec1_N,pcis->vec2_N);CHKERRQ(ierr);
2146       }
2147       ierr = VecScatterBegin(pcis->N_to_D,pcis->vec2_N,pcis->vec3_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2148       ierr = VecScatterEnd(pcis->N_to_D,pcis->vec2_N,pcis->vec3_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2149     } else {
2150       ierr = MatMultTranspose(pcis->A_BI,pcis->vec1_B,pcis->vec3_D);CHKERRQ(ierr);
2151     }
2152   } else if (pcbddc->switch_static) { /* n_B is zero */
2153     if (!pcbddc->switch_static_change) {
2154       ierr = MatMultTranspose(lA,pcis->vec1_D,pcis->vec3_D);CHKERRQ(ierr);
2155     } else {
2156       ierr = MatMult(pcbddc->switch_static_change,pcis->vec1_D,pcis->vec1_N);CHKERRQ(ierr);
2157       ierr = MatMultTranspose(lA,pcis->vec1_N,pcis->vec2_N);CHKERRQ(ierr);
2158       ierr = MatMultTranspose(pcbddc->switch_static_change,pcis->vec2_N,pcis->vec3_D);CHKERRQ(ierr);
2159     }
2160   }
2161   ierr = KSPSolveTranspose(pcbddc->ksp_D,pcis->vec3_D,pcis->vec4_D);CHKERRQ(ierr);
2162   ierr = KSPCheckSolve(pcbddc->ksp_D,pc,pcis->vec4_D);CHKERRQ(ierr);
2163   if (!pcbddc->exact_dirichlet_trick_app && !pcbddc->benign_apply_coarse_only) {
2164     if (pcbddc->switch_static) {
2165       ierr = VecAXPBYPCZ(pcis->vec2_D,m_one,one,m_one,pcis->vec4_D,pcis->vec1_D);CHKERRQ(ierr);
2166     } else {
2167       ierr = VecAXPBY(pcis->vec2_D,m_one,m_one,pcis->vec4_D);CHKERRQ(ierr);
2168     }
2169     ierr = VecScatterBegin(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2170     ierr = VecScatterEnd(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2171   } else {
2172     if (pcbddc->switch_static) {
2173       ierr = VecAXPBY(pcis->vec4_D,one,m_one,pcis->vec1_D);CHKERRQ(ierr);
2174     } else {
2175       ierr = VecScale(pcis->vec4_D,m_one);CHKERRQ(ierr);
2176     }
2177     ierr = VecScatterBegin(pcis->global_to_D,pcis->vec4_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2178     ierr = VecScatterEnd(pcis->global_to_D,pcis->vec4_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2179   }
2180   if (pcbddc->benign_have_null) { /* set p0 (computed in PCBDDCApplyInterface) */
2181     ierr = PCBDDCBenignGetOrSetP0(pc,z,PETSC_FALSE);CHKERRQ(ierr);
2182   }
2183   if (pcbddc->ChangeOfBasisMatrix) {
2184     pcbddc->work_change = r;
2185     ierr = VecCopy(z,pcbddc->work_change);CHKERRQ(ierr);
2186     ierr = MatMult(pcbddc->ChangeOfBasisMatrix,pcbddc->work_change,z);CHKERRQ(ierr);
2187   }
2188   PetscFunctionReturn(0);
2189 }
2190 
2191 PetscErrorCode PCReset_BDDC(PC pc)
2192 {
2193   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
2194   PC_IS          *pcis = (PC_IS*)pc->data;
2195   KSP            kspD,kspR,kspC;
2196   PetscErrorCode ierr;
2197 
2198   PetscFunctionBegin;
2199   /* free BDDC custom data  */
2200   ierr = PCBDDCResetCustomization(pc);CHKERRQ(ierr);
2201   /* destroy objects related to topography */
2202   ierr = PCBDDCResetTopography(pc);CHKERRQ(ierr);
2203   /* destroy objects for scaling operator */
2204   ierr = PCBDDCScalingDestroy(pc);CHKERRQ(ierr);
2205   /* free solvers stuff */
2206   ierr = PCBDDCResetSolvers(pc);CHKERRQ(ierr);
2207   /* free global vectors needed in presolve */
2208   ierr = VecDestroy(&pcbddc->temp_solution);CHKERRQ(ierr);
2209   ierr = VecDestroy(&pcbddc->original_rhs);CHKERRQ(ierr);
2210   /* free data created by PCIS */
2211   ierr = PCISDestroy(pc);CHKERRQ(ierr);
2212 
2213   /* restore defaults */
2214   kspD = pcbddc->ksp_D;
2215   kspR = pcbddc->ksp_R;
2216   kspC = pcbddc->coarse_ksp;
2217   ierr = PetscMemzero(pc->data,sizeof(*pcbddc));CHKERRQ(ierr);
2218   pcis->n_neigh                     = -1;
2219   pcis->scaling_factor              = 1.0;
2220   pcis->reusesubmatrices            = PETSC_TRUE;
2221   pcbddc->use_local_adj             = PETSC_TRUE;
2222   pcbddc->use_vertices              = PETSC_TRUE;
2223   pcbddc->use_edges                 = PETSC_TRUE;
2224   pcbddc->symmetric_primal          = PETSC_TRUE;
2225   pcbddc->vertex_size               = 1;
2226   pcbddc->recompute_topography      = PETSC_TRUE;
2227   pcbddc->coarse_size               = -1;
2228   pcbddc->use_exact_dirichlet_trick = PETSC_TRUE;
2229   pcbddc->coarsening_ratio          = 8;
2230   pcbddc->coarse_eqs_per_proc       = 1;
2231   pcbddc->benign_compute_correction = PETSC_TRUE;
2232   pcbddc->nedfield                  = -1;
2233   pcbddc->nedglobal                 = PETSC_TRUE;
2234   pcbddc->graphmaxcount             = PETSC_MAX_INT;
2235   pcbddc->sub_schurs_layers         = -1;
2236   pcbddc->ksp_D                     = kspD;
2237   pcbddc->ksp_R                     = kspR;
2238   pcbddc->coarse_ksp                = kspC;
2239   PetscFunctionReturn(0);
2240 }
2241 
2242 PetscErrorCode PCDestroy_BDDC(PC pc)
2243 {
2244   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
2245   PetscErrorCode ierr;
2246 
2247   PetscFunctionBegin;
2248   ierr = PCReset_BDDC(pc);CHKERRQ(ierr);
2249   ierr = KSPDestroy(&pcbddc->ksp_D);CHKERRQ(ierr);
2250   ierr = KSPDestroy(&pcbddc->ksp_R);CHKERRQ(ierr);
2251   ierr = KSPDestroy(&pcbddc->coarse_ksp);CHKERRQ(ierr);
2252   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDiscreteGradient_C",NULL);CHKERRQ(ierr);
2253   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDivergenceMat_C",NULL);CHKERRQ(ierr);
2254   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetChangeOfBasisMat_C",NULL);CHKERRQ(ierr);
2255   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetPrimalVerticesLocalIS_C",NULL);CHKERRQ(ierr);
2256   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetPrimalVerticesIS_C",NULL);CHKERRQ(ierr);
2257   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetCoarseningRatio_C",NULL);CHKERRQ(ierr);
2258   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevel_C",NULL);CHKERRQ(ierr);
2259   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetUseExactDirichlet_C",NULL);CHKERRQ(ierr);
2260   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevels_C",NULL);CHKERRQ(ierr);
2261   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundaries_C",NULL);CHKERRQ(ierr);
2262   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundariesLocal_C",NULL);CHKERRQ(ierr);
2263   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundaries_C",NULL);CHKERRQ(ierr);
2264   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundariesLocal_C",NULL);CHKERRQ(ierr);
2265   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundaries_C",NULL);CHKERRQ(ierr);
2266   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundariesLocal_C",NULL);CHKERRQ(ierr);
2267   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundaries_C",NULL);CHKERRQ(ierr);
2268   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundariesLocal_C",NULL);CHKERRQ(ierr);
2269   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplitting_C",NULL);CHKERRQ(ierr);
2270   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplittingLocal_C",NULL);CHKERRQ(ierr);
2271   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLocalAdjacencyGraph_C",NULL);CHKERRQ(ierr);
2272   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCCreateFETIDPOperators_C",NULL);CHKERRQ(ierr);
2273   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetRHS_C",NULL);CHKERRQ(ierr);
2274   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetSolution_C",NULL);CHKERRQ(ierr);
2275   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCPreSolveChangeRHS_C",NULL);CHKERRQ(ierr);
2276   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCSetCoordinates_C",NULL);CHKERRQ(ierr);
2277   ierr = PetscFree(pc->data);CHKERRQ(ierr);
2278   PetscFunctionReturn(0);
2279 }
2280 
2281 static PetscErrorCode PCSetCoordinates_BDDC(PC pc, PetscInt dim, PetscInt nloc, PetscReal *coords)
2282 {
2283   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
2284   PCBDDCGraph    mat_graph = pcbddc->mat_graph;
2285   PetscErrorCode ierr;
2286 
2287   PetscFunctionBegin;
2288   ierr = PetscFree(mat_graph->coords);CHKERRQ(ierr);
2289   ierr = PetscMalloc1(nloc*dim,&mat_graph->coords);CHKERRQ(ierr);
2290   ierr = PetscMemcpy(mat_graph->coords,coords,nloc*dim*sizeof(PetscReal));CHKERRQ(ierr);
2291   mat_graph->cnloc = nloc;
2292   mat_graph->cdim  = dim;
2293   mat_graph->cloc  = PETSC_FALSE;
2294   PetscFunctionReturn(0);
2295 }
2296 
2297 static PetscErrorCode PCPreSolveChangeRHS_BDDC(PC pc, PetscBool* change)
2298 {
2299   PetscFunctionBegin;
2300   *change = PETSC_TRUE;
2301   PetscFunctionReturn(0);
2302 }
2303 
2304 static PetscErrorCode PCBDDCMatFETIDPGetRHS_BDDC(Mat fetidp_mat, Vec standard_rhs, Vec fetidp_flux_rhs)
2305 {
2306   FETIDPMat_ctx  mat_ctx;
2307   Vec            work;
2308   PC_IS*         pcis;
2309   PC_BDDC*       pcbddc;
2310   PetscErrorCode ierr;
2311 
2312   PetscFunctionBegin;
2313   ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr);
2314   pcis = (PC_IS*)mat_ctx->pc->data;
2315   pcbddc = (PC_BDDC*)mat_ctx->pc->data;
2316 
2317   ierr = VecSet(fetidp_flux_rhs,0.0);CHKERRQ(ierr);
2318   /* copy rhs since we may change it during PCPreSolve_BDDC */
2319   if (!pcbddc->original_rhs) {
2320     ierr = VecDuplicate(pcis->vec1_global,&pcbddc->original_rhs);CHKERRQ(ierr);
2321   }
2322   if (mat_ctx->rhs_flip) {
2323     ierr = VecPointwiseMult(pcbddc->original_rhs,standard_rhs,mat_ctx->rhs_flip);CHKERRQ(ierr);
2324   } else {
2325     ierr = VecCopy(standard_rhs,pcbddc->original_rhs);CHKERRQ(ierr);
2326   }
2327   if (mat_ctx->g2g_p) {
2328     /* interface pressure rhs */
2329     ierr = VecScatterBegin(mat_ctx->g2g_p,fetidp_flux_rhs,pcbddc->original_rhs,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2330     ierr = VecScatterEnd(mat_ctx->g2g_p,fetidp_flux_rhs,pcbddc->original_rhs,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2331     ierr = VecScatterBegin(mat_ctx->g2g_p,standard_rhs,fetidp_flux_rhs,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2332     ierr = VecScatterEnd(mat_ctx->g2g_p,standard_rhs,fetidp_flux_rhs,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2333     if (!mat_ctx->rhs_flip) {
2334       ierr = VecScale(fetidp_flux_rhs,-1.);CHKERRQ(ierr);
2335     }
2336   }
2337   /*
2338      change of basis for physical rhs if needed
2339      It also changes the rhs in case of dirichlet boundaries
2340   */
2341   ierr = PCPreSolve_BDDC(mat_ctx->pc,NULL,pcbddc->original_rhs,NULL);CHKERRQ(ierr);
2342   if (pcbddc->ChangeOfBasisMatrix) {
2343     ierr = MatMultTranspose(pcbddc->ChangeOfBasisMatrix,pcbddc->original_rhs,pcbddc->work_change);CHKERRQ(ierr);
2344     work = pcbddc->work_change;
2345    } else {
2346     work = pcbddc->original_rhs;
2347   }
2348   /* store vectors for computation of fetidp final solution */
2349   ierr = VecScatterBegin(pcis->global_to_D,work,mat_ctx->temp_solution_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2350   ierr = VecScatterEnd(pcis->global_to_D,work,mat_ctx->temp_solution_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2351   /* scale rhs since it should be unassembled */
2352   /* TODO use counter scaling? (also below) */
2353   ierr = VecScatterBegin(pcis->global_to_B,work,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2354   ierr = VecScatterEnd(pcis->global_to_B,work,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2355   /* Apply partition of unity */
2356   ierr = VecPointwiseMult(mat_ctx->temp_solution_B,pcis->D,mat_ctx->temp_solution_B);CHKERRQ(ierr);
2357   /* ierr = PCBDDCScalingRestriction(mat_ctx->pc,work,mat_ctx->temp_solution_B);CHKERRQ(ierr); */
2358   if (!pcbddc->switch_static) {
2359     /* compute partially subassembled Schur complement right-hand side */
2360     ierr = KSPSolve(pcbddc->ksp_D,mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr);
2361     /* Cannot propagate up error in KSPSolve() because there is no access to the PC */
2362     ierr = MatMult(pcis->A_BI,pcis->vec1_D,pcis->vec1_B);CHKERRQ(ierr);
2363     ierr = VecAXPY(mat_ctx->temp_solution_B,-1.0,pcis->vec1_B);CHKERRQ(ierr);
2364     ierr = VecSet(work,0.0);CHKERRQ(ierr);
2365     ierr = VecScatterBegin(pcis->global_to_B,mat_ctx->temp_solution_B,work,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2366     ierr = VecScatterEnd(pcis->global_to_B,mat_ctx->temp_solution_B,work,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2367     /* ierr = PCBDDCScalingRestriction(mat_ctx->pc,work,mat_ctx->temp_solution_B);CHKERRQ(ierr); */
2368     ierr = VecScatterBegin(pcis->global_to_B,work,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2369     ierr = VecScatterEnd(pcis->global_to_B,work,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2370     ierr = VecPointwiseMult(mat_ctx->temp_solution_B,pcis->D,mat_ctx->temp_solution_B);CHKERRQ(ierr);
2371   }
2372   /* BDDC rhs */
2373   ierr = VecCopy(mat_ctx->temp_solution_B,pcis->vec1_B);CHKERRQ(ierr);
2374   if (pcbddc->switch_static) {
2375     ierr = VecCopy(mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr);
2376   }
2377   /* apply BDDC */
2378   ierr = PetscMemzero(pcbddc->benign_p0,pcbddc->benign_n*sizeof(PetscScalar));CHKERRQ(ierr);
2379   ierr = PCBDDCApplyInterfacePreconditioner(mat_ctx->pc,PETSC_FALSE);CHKERRQ(ierr);
2380   ierr = PetscMemzero(pcbddc->benign_p0,pcbddc->benign_n*sizeof(PetscScalar));CHKERRQ(ierr);
2381 
2382   /* Application of B_delta and assembling of rhs for fetidp fluxes */
2383   ierr = MatMult(mat_ctx->B_delta,pcis->vec1_B,mat_ctx->lambda_local);CHKERRQ(ierr);
2384   ierr = VecScatterBegin(mat_ctx->l2g_lambda,mat_ctx->lambda_local,fetidp_flux_rhs,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2385   ierr = VecScatterEnd(mat_ctx->l2g_lambda,mat_ctx->lambda_local,fetidp_flux_rhs,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2386   /* Add contribution to interface pressures */
2387   if (mat_ctx->l2g_p) {
2388     ierr = MatMult(mat_ctx->B_BB,pcis->vec1_B,mat_ctx->vP);CHKERRQ(ierr);
2389     if (pcbddc->switch_static) {
2390       ierr = MatMultAdd(mat_ctx->B_BI,pcis->vec1_D,mat_ctx->vP,mat_ctx->vP);CHKERRQ(ierr);
2391     }
2392     ierr = VecScatterBegin(mat_ctx->l2g_p,mat_ctx->vP,fetidp_flux_rhs,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2393     ierr = VecScatterEnd(mat_ctx->l2g_p,mat_ctx->vP,fetidp_flux_rhs,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2394   }
2395   PetscFunctionReturn(0);
2396 }
2397 
2398 /*@
2399  PCBDDCMatFETIDPGetRHS - Compute the right-hand side for FETI-DP linear system using the physical right-hand side
2400 
2401    Collective
2402 
2403    Input Parameters:
2404 +  fetidp_mat      - the FETI-DP matrix object obtained by a call to PCBDDCCreateFETIDPOperators
2405 -  standard_rhs    - the right-hand side of the original linear system
2406 
2407    Output Parameters:
2408 .  fetidp_flux_rhs - the right-hand side for the FETI-DP linear system
2409 
2410    Level: developer
2411 
2412    Notes:
2413 
2414 .seealso: PCBDDC, PCBDDCCreateFETIDPOperators, PCBDDCMatFETIDPGetSolution
2415 @*/
2416 PetscErrorCode PCBDDCMatFETIDPGetRHS(Mat fetidp_mat, Vec standard_rhs, Vec fetidp_flux_rhs)
2417 {
2418   FETIDPMat_ctx  mat_ctx;
2419   PetscErrorCode ierr;
2420 
2421   PetscFunctionBegin;
2422   PetscValidHeaderSpecific(fetidp_mat,MAT_CLASSID,1);
2423   PetscValidHeaderSpecific(standard_rhs,VEC_CLASSID,2);
2424   PetscValidHeaderSpecific(fetidp_flux_rhs,VEC_CLASSID,3);
2425   ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr);
2426   ierr = PetscUseMethod(mat_ctx->pc,"PCBDDCMatFETIDPGetRHS_C",(Mat,Vec,Vec),(fetidp_mat,standard_rhs,fetidp_flux_rhs));CHKERRQ(ierr);
2427   PetscFunctionReturn(0);
2428 }
2429 
2430 static PetscErrorCode PCBDDCMatFETIDPGetSolution_BDDC(Mat fetidp_mat, Vec fetidp_flux_sol, Vec standard_sol)
2431 {
2432   FETIDPMat_ctx  mat_ctx;
2433   PC_IS*         pcis;
2434   PC_BDDC*       pcbddc;
2435   PetscErrorCode ierr;
2436   Vec            work;
2437 
2438   PetscFunctionBegin;
2439   ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr);
2440   pcis = (PC_IS*)mat_ctx->pc->data;
2441   pcbddc = (PC_BDDC*)mat_ctx->pc->data;
2442 
2443   /* apply B_delta^T */
2444   ierr = VecSet(pcis->vec1_B,0.);CHKERRQ(ierr);
2445   ierr = VecScatterBegin(mat_ctx->l2g_lambda,fetidp_flux_sol,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2446   ierr = VecScatterEnd(mat_ctx->l2g_lambda,fetidp_flux_sol,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2447   ierr = MatMultTranspose(mat_ctx->B_delta,mat_ctx->lambda_local,pcis->vec1_B);CHKERRQ(ierr);
2448   if (mat_ctx->l2g_p) {
2449     ierr = VecScatterBegin(mat_ctx->l2g_p,fetidp_flux_sol,mat_ctx->vP,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2450     ierr = VecScatterEnd(mat_ctx->l2g_p,fetidp_flux_sol,mat_ctx->vP,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2451     ierr = MatMultAdd(mat_ctx->Bt_BB,mat_ctx->vP,pcis->vec1_B,pcis->vec1_B);CHKERRQ(ierr);
2452   }
2453 
2454   /* compute rhs for BDDC application */
2455   ierr = VecAYPX(pcis->vec1_B,-1.0,mat_ctx->temp_solution_B);CHKERRQ(ierr);
2456   if (pcbddc->switch_static) {
2457     ierr = VecCopy(mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr);
2458     if (mat_ctx->l2g_p) {
2459       ierr = VecScale(mat_ctx->vP,-1.);CHKERRQ(ierr);
2460       ierr = MatMultAdd(mat_ctx->Bt_BI,mat_ctx->vP,pcis->vec1_D,pcis->vec1_D);CHKERRQ(ierr);
2461     }
2462   }
2463 
2464   /* apply BDDC */
2465   ierr = PetscMemzero(pcbddc->benign_p0,pcbddc->benign_n*sizeof(PetscScalar));CHKERRQ(ierr);
2466   ierr = PCBDDCApplyInterfacePreconditioner(mat_ctx->pc,PETSC_FALSE);CHKERRQ(ierr);
2467 
2468   /* put values into global vector */
2469   if (pcbddc->ChangeOfBasisMatrix) work = pcbddc->work_change;
2470   else work = standard_sol;
2471   ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_B,work,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2472   ierr = VecScatterEnd(pcis->global_to_B,pcis->vec1_B,work,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2473   if (!pcbddc->switch_static) {
2474     /* compute values into the interior if solved for the partially subassembled Schur complement */
2475     ierr = MatMult(pcis->A_IB,pcis->vec1_B,pcis->vec1_D);CHKERRQ(ierr);
2476     ierr = VecAYPX(pcis->vec1_D,-1.0,mat_ctx->temp_solution_D);CHKERRQ(ierr);
2477     ierr = KSPSolve(pcbddc->ksp_D,pcis->vec1_D,pcis->vec1_D);CHKERRQ(ierr);
2478     /* Cannot propagate up error in KSPSolve() because there is no access to the PC */
2479   }
2480 
2481   ierr = VecScatterBegin(pcis->global_to_D,pcis->vec1_D,work,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2482   ierr = VecScatterEnd(pcis->global_to_D,pcis->vec1_D,work,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2483   /* add p0 solution to final solution */
2484   ierr = PCBDDCBenignGetOrSetP0(mat_ctx->pc,work,PETSC_FALSE);CHKERRQ(ierr);
2485   if (pcbddc->ChangeOfBasisMatrix) {
2486     ierr = MatMult(pcbddc->ChangeOfBasisMatrix,work,standard_sol);CHKERRQ(ierr);
2487   }
2488   ierr = PCPostSolve_BDDC(mat_ctx->pc,NULL,NULL,standard_sol);CHKERRQ(ierr);
2489   if (mat_ctx->g2g_p) {
2490     ierr = VecScatterBegin(mat_ctx->g2g_p,fetidp_flux_sol,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2491     ierr = VecScatterEnd(mat_ctx->g2g_p,fetidp_flux_sol,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2492   }
2493   PetscFunctionReturn(0);
2494 }
2495 
2496 static PetscErrorCode PCView_BDDCIPC(PC pc, PetscViewer viewer)
2497 {
2498   PetscErrorCode ierr;
2499   BDDCIPC_ctx    bddcipc_ctx;
2500   PetscBool      isascii;
2501 
2502   PetscFunctionBegin;
2503   ierr = PCShellGetContext(pc,(void **)&bddcipc_ctx);CHKERRQ(ierr);
2504   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&isascii);CHKERRQ(ierr);
2505   if (isascii) {
2506     ierr = PetscViewerASCIIPrintf(viewer,"BDDC interface preconditioner\n");CHKERRQ(ierr);
2507   }
2508   ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr);
2509   ierr = PCView(bddcipc_ctx->bddc,viewer);CHKERRQ(ierr);
2510   ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr);
2511   PetscFunctionReturn(0);
2512 }
2513 
2514 static PetscErrorCode PCSetUp_BDDCIPC(PC pc)
2515 {
2516   PetscErrorCode ierr;
2517   BDDCIPC_ctx    bddcipc_ctx;
2518   PetscBool      isbddc;
2519   Vec            vv;
2520   IS             is;
2521   PC_IS          *pcis;
2522 
2523   PetscFunctionBegin;
2524   ierr = PCShellGetContext(pc,(void **)&bddcipc_ctx);CHKERRQ(ierr);
2525   ierr = PetscObjectTypeCompare((PetscObject)bddcipc_ctx->bddc,PCBDDC,&isbddc);CHKERRQ(ierr);
2526   if (!isbddc) SETERRQ1(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Invalid type %s. Must be of type bddc",((PetscObject)bddcipc_ctx->bddc)->type_name);
2527   ierr = PCSetUp(bddcipc_ctx->bddc);CHKERRQ(ierr);
2528 
2529   /* create interface scatter */
2530   pcis = (PC_IS*)(bddcipc_ctx->bddc->data);
2531   ierr = VecScatterDestroy(&bddcipc_ctx->g2l);CHKERRQ(ierr);
2532   ierr = MatCreateVecs(pc->pmat,&vv,NULL);CHKERRQ(ierr);
2533   ierr = ISRenumber(pcis->is_B_global,NULL,NULL,&is);CHKERRQ(ierr);
2534   ierr = VecScatterCreateWithData(vv,is,pcis->vec1_B,NULL,&bddcipc_ctx->g2l);CHKERRQ(ierr);
2535   ierr = ISDestroy(&is);CHKERRQ(ierr);
2536   ierr = VecDestroy(&vv);CHKERRQ(ierr);
2537   PetscFunctionReturn(0);
2538 }
2539 
2540 static PetscErrorCode PCApply_BDDCIPC(PC pc, Vec r, Vec x)
2541 {
2542   PetscErrorCode ierr;
2543   BDDCIPC_ctx    bddcipc_ctx;
2544   PC_IS          *pcis;
2545   VecScatter     tmps;
2546 
2547   PetscFunctionBegin;
2548   ierr = PCShellGetContext(pc,(void **)&bddcipc_ctx);CHKERRQ(ierr);
2549   pcis = (PC_IS*)(bddcipc_ctx->bddc->data);
2550   tmps = pcis->global_to_B;
2551   pcis->global_to_B = bddcipc_ctx->g2l;
2552   ierr = PCBDDCScalingRestriction(bddcipc_ctx->bddc,r,pcis->vec1_B);CHKERRQ(ierr);
2553   ierr = PCBDDCApplyInterfacePreconditioner(bddcipc_ctx->bddc,PETSC_FALSE);CHKERRQ(ierr);
2554   ierr = PCBDDCScalingExtension(bddcipc_ctx->bddc,pcis->vec1_B,x);CHKERRQ(ierr);
2555   pcis->global_to_B = tmps;
2556   PetscFunctionReturn(0);
2557 }
2558 
2559 static PetscErrorCode PCApplyTranspose_BDDCIPC(PC pc, Vec r, Vec x)
2560 {
2561   PetscErrorCode ierr;
2562   BDDCIPC_ctx    bddcipc_ctx;
2563   PC_IS          *pcis;
2564   VecScatter     tmps;
2565 
2566   PetscFunctionBegin;
2567   ierr = PCShellGetContext(pc,(void **)&bddcipc_ctx);CHKERRQ(ierr);
2568   pcis = (PC_IS*)(bddcipc_ctx->bddc->data);
2569   tmps = pcis->global_to_B;
2570   pcis->global_to_B = bddcipc_ctx->g2l;
2571   ierr = PCBDDCScalingRestriction(bddcipc_ctx->bddc,r,pcis->vec1_B);CHKERRQ(ierr);
2572   ierr = PCBDDCApplyInterfacePreconditioner(bddcipc_ctx->bddc,PETSC_TRUE);CHKERRQ(ierr);
2573   ierr = PCBDDCScalingExtension(bddcipc_ctx->bddc,pcis->vec1_B,x);CHKERRQ(ierr);
2574   pcis->global_to_B = tmps;
2575   PetscFunctionReturn(0);
2576 }
2577 
2578 static PetscErrorCode PCDestroy_BDDCIPC(PC pc)
2579 {
2580   PetscErrorCode ierr;
2581   BDDCIPC_ctx    bddcipc_ctx;
2582 
2583   PetscFunctionBegin;
2584   ierr = PCShellGetContext(pc,(void **)&bddcipc_ctx);CHKERRQ(ierr);
2585   ierr = PCDestroy(&bddcipc_ctx->bddc);CHKERRQ(ierr);
2586   ierr = VecScatterDestroy(&bddcipc_ctx->g2l);CHKERRQ(ierr);
2587   ierr = PetscFree(bddcipc_ctx);CHKERRQ(ierr);
2588   PetscFunctionReturn(0);
2589 }
2590 
2591 /*@
2592  PCBDDCMatFETIDPGetSolution - Compute the physical solution using the solution of the FETI-DP linear system
2593 
2594    Collective
2595 
2596    Input Parameters:
2597 +  fetidp_mat      - the FETI-DP matrix obtained by a call to PCBDDCCreateFETIDPOperators
2598 -  fetidp_flux_sol - the solution of the FETI-DP linear system
2599 
2600    Output Parameters:
2601 .  standard_sol    - the solution defined on the physical domain
2602 
2603    Level: developer
2604 
2605    Notes:
2606 
2607 .seealso: PCBDDC, PCBDDCCreateFETIDPOperators, PCBDDCMatFETIDPGetRHS
2608 @*/
2609 PetscErrorCode PCBDDCMatFETIDPGetSolution(Mat fetidp_mat, Vec fetidp_flux_sol, Vec standard_sol)
2610 {
2611   FETIDPMat_ctx  mat_ctx;
2612   PetscErrorCode ierr;
2613 
2614   PetscFunctionBegin;
2615   PetscValidHeaderSpecific(fetidp_mat,MAT_CLASSID,1);
2616   PetscValidHeaderSpecific(fetidp_flux_sol,VEC_CLASSID,2);
2617   PetscValidHeaderSpecific(standard_sol,VEC_CLASSID,3);
2618   ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr);
2619   ierr = PetscUseMethod(mat_ctx->pc,"PCBDDCMatFETIDPGetSolution_C",(Mat,Vec,Vec),(fetidp_mat,fetidp_flux_sol,standard_sol));CHKERRQ(ierr);
2620   PetscFunctionReturn(0);
2621 }
2622 
2623 static PetscErrorCode PCBDDCCreateFETIDPOperators_BDDC(PC pc, PetscBool fully_redundant, const char* prefix, Mat *fetidp_mat, PC *fetidp_pc)
2624 {
2625 
2626   FETIDPMat_ctx  fetidpmat_ctx;
2627   Mat            newmat;
2628   FETIDPPC_ctx   fetidppc_ctx;
2629   PC             newpc;
2630   MPI_Comm       comm;
2631   PetscErrorCode ierr;
2632 
2633   PetscFunctionBegin;
2634   ierr = PetscObjectGetComm((PetscObject)pc,&comm);CHKERRQ(ierr);
2635   /* FETI-DP matrix */
2636   ierr = PCBDDCCreateFETIDPMatContext(pc,&fetidpmat_ctx);CHKERRQ(ierr);
2637   fetidpmat_ctx->fully_redundant = fully_redundant;
2638   ierr = PCBDDCSetupFETIDPMatContext(fetidpmat_ctx);CHKERRQ(ierr);
2639   ierr = MatCreateShell(comm,fetidpmat_ctx->n,fetidpmat_ctx->n,fetidpmat_ctx->N,fetidpmat_ctx->N,fetidpmat_ctx,&newmat);CHKERRQ(ierr);
2640   ierr = PetscObjectSetName((PetscObject)newmat,!fetidpmat_ctx->l2g_lambda_only ? "F" : "G");CHKERRQ(ierr);
2641   ierr = MatShellSetOperation(newmat,MATOP_MULT,(void (*)(void))FETIDPMatMult);CHKERRQ(ierr);
2642   ierr = MatShellSetOperation(newmat,MATOP_MULT_TRANSPOSE,(void (*)(void))FETIDPMatMultTranspose);CHKERRQ(ierr);
2643   ierr = MatShellSetOperation(newmat,MATOP_DESTROY,(void (*)(void))PCBDDCDestroyFETIDPMat);CHKERRQ(ierr);
2644   /* propagate MatOptions */
2645   {
2646     PC_BDDC   *pcbddc = (PC_BDDC*)fetidpmat_ctx->pc->data;
2647     PetscBool issym;
2648 
2649     ierr = MatGetOption(pc->mat,MAT_SYMMETRIC,&issym);CHKERRQ(ierr);
2650     if (issym || pcbddc->symmetric_primal) {
2651       ierr = MatSetOption(newmat,MAT_SYMMETRIC,PETSC_TRUE);CHKERRQ(ierr);
2652     }
2653   }
2654   ierr = MatSetOptionsPrefix(newmat,prefix);CHKERRQ(ierr);
2655   ierr = MatAppendOptionsPrefix(newmat,"fetidp_");CHKERRQ(ierr);
2656   ierr = MatSetUp(newmat);CHKERRQ(ierr);
2657   /* FETI-DP preconditioner */
2658   ierr = PCBDDCCreateFETIDPPCContext(pc,&fetidppc_ctx);CHKERRQ(ierr);
2659   ierr = PCBDDCSetupFETIDPPCContext(newmat,fetidppc_ctx);CHKERRQ(ierr);
2660   ierr = PCCreate(comm,&newpc);CHKERRQ(ierr);
2661   ierr = PCSetOperators(newpc,newmat,newmat);CHKERRQ(ierr);
2662   ierr = PCSetOptionsPrefix(newpc,prefix);CHKERRQ(ierr);
2663   ierr = PCAppendOptionsPrefix(newpc,"fetidp_");CHKERRQ(ierr);
2664   ierr = PCSetErrorIfFailure(newpc,pc->erroriffailure);CHKERRQ(ierr);
2665   if (!fetidpmat_ctx->l2g_lambda_only) { /* standard FETI-DP */
2666     ierr = PCSetType(newpc,PCSHELL);CHKERRQ(ierr);
2667     ierr = PCShellSetName(newpc,"FETI-DP multipliers");CHKERRQ(ierr);
2668     ierr = PCShellSetContext(newpc,fetidppc_ctx);CHKERRQ(ierr);
2669     ierr = PCShellSetApply(newpc,FETIDPPCApply);CHKERRQ(ierr);
2670     ierr = PCShellSetApplyTranspose(newpc,FETIDPPCApplyTranspose);CHKERRQ(ierr);
2671     ierr = PCShellSetView(newpc,FETIDPPCView);CHKERRQ(ierr);
2672     ierr = PCShellSetDestroy(newpc,PCBDDCDestroyFETIDPPC);CHKERRQ(ierr);
2673   } else { /* saddle-point FETI-DP */
2674     Mat       M;
2675     PetscInt  psize;
2676     PetscBool fake = PETSC_FALSE, isfieldsplit;
2677 
2678     ierr = ISViewFromOptions(fetidpmat_ctx->lagrange,NULL,"-lag_view");CHKERRQ(ierr);
2679     ierr = ISViewFromOptions(fetidpmat_ctx->pressure,NULL,"-press_view");CHKERRQ(ierr);
2680     ierr = PetscObjectQuery((PetscObject)pc,"__KSPFETIDP_PPmat",(PetscObject*)&M);CHKERRQ(ierr);
2681     ierr = PCSetType(newpc,PCFIELDSPLIT);CHKERRQ(ierr);
2682     ierr = PCFieldSplitSetIS(newpc,"lag",fetidpmat_ctx->lagrange);CHKERRQ(ierr);
2683     ierr = PCFieldSplitSetIS(newpc,"p",fetidpmat_ctx->pressure);CHKERRQ(ierr);
2684     ierr = PCFieldSplitSetType(newpc,PC_COMPOSITE_SCHUR);CHKERRQ(ierr);
2685     ierr = PCFieldSplitSetSchurFactType(newpc,PC_FIELDSPLIT_SCHUR_FACT_DIAG);CHKERRQ(ierr);
2686     ierr = ISGetSize(fetidpmat_ctx->pressure,&psize);CHKERRQ(ierr);
2687     if (psize != M->rmap->N) {
2688       Mat      M2;
2689       PetscInt lpsize;
2690 
2691       fake = PETSC_TRUE;
2692       ierr = ISGetLocalSize(fetidpmat_ctx->pressure,&lpsize);CHKERRQ(ierr);
2693       ierr = MatCreate(comm,&M2);CHKERRQ(ierr);
2694       ierr = MatSetType(M2,MATAIJ);CHKERRQ(ierr);
2695       ierr = MatSetSizes(M2,lpsize,lpsize,psize,psize);CHKERRQ(ierr);
2696       ierr = MatSetUp(M2);CHKERRQ(ierr);
2697       ierr = MatAssemblyBegin(M2,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2698       ierr = MatAssemblyEnd(M2,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2699       ierr = PCFieldSplitSetSchurPre(newpc,PC_FIELDSPLIT_SCHUR_PRE_USER,M2);CHKERRQ(ierr);
2700       ierr = MatDestroy(&M2);CHKERRQ(ierr);
2701     } else {
2702       ierr = PCFieldSplitSetSchurPre(newpc,PC_FIELDSPLIT_SCHUR_PRE_USER,M);CHKERRQ(ierr);
2703     }
2704     ierr = PCFieldSplitSetSchurScale(newpc,1.0);CHKERRQ(ierr);
2705 
2706     /* we need to setfromoptions and setup here to access the blocks */
2707     ierr = PCSetFromOptions(newpc);CHKERRQ(ierr);
2708     ierr = PCSetUp(newpc);CHKERRQ(ierr);
2709 
2710     /* user may have changed the type (e.g. -fetidp_pc_type none) */
2711     ierr = PetscObjectTypeCompare((PetscObject)newpc,PCFIELDSPLIT,&isfieldsplit);CHKERRQ(ierr);
2712     if (isfieldsplit) {
2713       KSP       *ksps;
2714       PC        ppc,lagpc;
2715       PetscInt  nn;
2716       PetscBool ismatis,matisok = PETSC_FALSE,check = PETSC_FALSE;
2717 
2718       /* set the solver for the (0,0) block */
2719       ierr = PCFieldSplitSchurGetSubKSP(newpc,&nn,&ksps);CHKERRQ(ierr);
2720       if (!nn) { /* not of type PC_COMPOSITE_SCHUR */
2721         ierr = PCFieldSplitGetSubKSP(newpc,&nn,&ksps);CHKERRQ(ierr);
2722         if (!fake) { /* pass pmat to the pressure solver */
2723           Mat F;
2724 
2725           ierr = KSPGetOperators(ksps[1],&F,NULL);CHKERRQ(ierr);
2726           ierr = KSPSetOperators(ksps[1],F,M);CHKERRQ(ierr);
2727         }
2728       } else {
2729         PetscBool issym;
2730         Mat       S;
2731 
2732         ierr = PCFieldSplitSchurGetS(newpc,&S);CHKERRQ(ierr);
2733 
2734         ierr = MatGetOption(newmat,MAT_SYMMETRIC,&issym);CHKERRQ(ierr);
2735         if (issym) {
2736           ierr = MatSetOption(S,MAT_SYMMETRIC,PETSC_TRUE);CHKERRQ(ierr);
2737         }
2738       }
2739       ierr = KSPGetPC(ksps[0],&lagpc);CHKERRQ(ierr);
2740       ierr = PCSetType(lagpc,PCSHELL);CHKERRQ(ierr);
2741       ierr = PCShellSetName(lagpc,"FETI-DP multipliers");CHKERRQ(ierr);
2742       ierr = PCShellSetContext(lagpc,fetidppc_ctx);CHKERRQ(ierr);
2743       ierr = PCShellSetApply(lagpc,FETIDPPCApply);CHKERRQ(ierr);
2744       ierr = PCShellSetApplyTranspose(lagpc,FETIDPPCApplyTranspose);CHKERRQ(ierr);
2745       ierr = PCShellSetView(lagpc,FETIDPPCView);CHKERRQ(ierr);
2746       ierr = PCShellSetDestroy(lagpc,PCBDDCDestroyFETIDPPC);CHKERRQ(ierr);
2747 
2748       /* Olof's idea: interface Schur complement preconditioner for the mass matrix */
2749       ierr = KSPGetPC(ksps[1],&ppc);CHKERRQ(ierr);
2750       if (fake) {
2751         BDDCIPC_ctx    bddcipc_ctx;
2752         PetscContainer c;
2753 
2754         matisok = PETSC_TRUE;
2755 
2756         /* create inner BDDC solver */
2757         ierr = PetscNew(&bddcipc_ctx);CHKERRQ(ierr);
2758         ierr = PCCreate(comm,&bddcipc_ctx->bddc);CHKERRQ(ierr);
2759         ierr = PCSetType(bddcipc_ctx->bddc,PCBDDC);CHKERRQ(ierr);
2760         ierr = PCSetOperators(bddcipc_ctx->bddc,M,M);CHKERRQ(ierr);
2761         ierr = PetscObjectQuery((PetscObject)pc,"__KSPFETIDP_pCSR",(PetscObject*)&c);CHKERRQ(ierr);
2762         ierr = PetscObjectTypeCompare((PetscObject)M,MATIS,&ismatis);CHKERRQ(ierr);
2763         if (c && ismatis) {
2764           Mat      lM;
2765           PetscInt *csr,n;
2766 
2767           ierr = MatISGetLocalMat(M,&lM);CHKERRQ(ierr);
2768           ierr = MatGetSize(lM,&n,NULL);CHKERRQ(ierr);
2769           ierr = PetscContainerGetPointer(c,(void**)&csr);CHKERRQ(ierr);
2770           ierr = PCBDDCSetLocalAdjacencyGraph(bddcipc_ctx->bddc,n,csr,csr + (n + 1),PETSC_COPY_VALUES);CHKERRQ(ierr);
2771           ierr = MatISRestoreLocalMat(M,&lM);CHKERRQ(ierr);
2772         }
2773         ierr = PCSetOptionsPrefix(bddcipc_ctx->bddc,((PetscObject)ksps[1])->prefix);CHKERRQ(ierr);
2774         ierr = PCSetErrorIfFailure(bddcipc_ctx->bddc,pc->erroriffailure);CHKERRQ(ierr);
2775         ierr = PCSetFromOptions(bddcipc_ctx->bddc);CHKERRQ(ierr);
2776 
2777         /* wrap the interface application */
2778         ierr = PCSetType(ppc,PCSHELL);CHKERRQ(ierr);
2779         ierr = PCShellSetName(ppc,"FETI-DP pressure");CHKERRQ(ierr);
2780         ierr = PCShellSetContext(ppc,bddcipc_ctx);CHKERRQ(ierr);
2781         ierr = PCShellSetSetUp(ppc,PCSetUp_BDDCIPC);CHKERRQ(ierr);
2782         ierr = PCShellSetApply(ppc,PCApply_BDDCIPC);CHKERRQ(ierr);
2783         ierr = PCShellSetApplyTranspose(ppc,PCApplyTranspose_BDDCIPC);CHKERRQ(ierr);
2784         ierr = PCShellSetView(ppc,PCView_BDDCIPC);CHKERRQ(ierr);
2785         ierr = PCShellSetDestroy(ppc,PCDestroy_BDDCIPC);CHKERRQ(ierr);
2786       }
2787 
2788       /* determine if we need to assemble M to construct a preconditioner */
2789       if (!matisok) {
2790         ierr = PetscObjectTypeCompare((PetscObject)M,MATIS,&ismatis);CHKERRQ(ierr);
2791         ierr = PetscObjectTypeCompareAny((PetscObject)ppc,&matisok,PCBDDC,PCJACOBI,PCNONE,PCMG,"");CHKERRQ(ierr);
2792         if (ismatis && !matisok) {
2793           ierr = MatConvert(M,MATAIJ,MAT_INPLACE_MATRIX,&M);CHKERRQ(ierr);
2794         }
2795       }
2796 
2797       /* run the subproblems to check convergence */
2798       ierr = PetscOptionsGetBool(NULL,((PetscObject)newmat)->prefix,"-check_saddlepoint",&check,NULL);CHKERRQ(ierr);
2799       if (check) {
2800         PetscInt i;
2801 
2802         for (i=0;i<nn;i++) {
2803           KSP       kspC;
2804           PC        pc;
2805           Mat       F,pF;
2806           Vec       x,y;
2807           PetscBool isschur,prec = PETSC_TRUE;
2808 
2809           ierr = KSPCreate(PetscObjectComm((PetscObject)ksps[i]),&kspC);CHKERRQ(ierr);
2810           ierr = KSPSetOptionsPrefix(kspC,((PetscObject)ksps[i])->prefix);CHKERRQ(ierr);
2811           ierr = KSPAppendOptionsPrefix(kspC,"check_");CHKERRQ(ierr);
2812           ierr = KSPGetOperators(ksps[i],&F,&pF);CHKERRQ(ierr);
2813           ierr = PetscObjectTypeCompare((PetscObject)F,MATSCHURCOMPLEMENT,&isschur);CHKERRQ(ierr);
2814           if (isschur) {
2815             KSP  kspS,kspS2;
2816             Mat  A00,pA00,A10,A01,A11;
2817             char prefix[256];
2818 
2819             ierr = MatSchurComplementGetKSP(F,&kspS);CHKERRQ(ierr);
2820             ierr = MatSchurComplementGetSubMatrices(F,&A00,&pA00,&A01,&A10,&A11);CHKERRQ(ierr);
2821             ierr = MatCreateSchurComplement(A00,pA00,A01,A10,A11,&F);CHKERRQ(ierr);
2822             ierr = MatSchurComplementGetKSP(F,&kspS2);CHKERRQ(ierr);
2823             ierr = PetscSNPrintf(prefix,sizeof(prefix),"%sschur_",((PetscObject)kspC)->prefix);CHKERRQ(ierr);
2824             ierr = KSPSetOptionsPrefix(kspS2,prefix);CHKERRQ(ierr);
2825             ierr = KSPGetPC(kspS2,&pc);CHKERRQ(ierr);
2826             ierr = PCSetType(pc,PCKSP);CHKERRQ(ierr);
2827             ierr = PCKSPSetKSP(pc,kspS);CHKERRQ(ierr);
2828             ierr = KSPSetFromOptions(kspS2);CHKERRQ(ierr);
2829             ierr = KSPGetPC(kspS2,&pc);CHKERRQ(ierr);
2830             ierr = PCSetUseAmat(pc,PETSC_TRUE);CHKERRQ(ierr);
2831           } else {
2832             ierr = PetscObjectReference((PetscObject)F);CHKERRQ(ierr);
2833           }
2834           ierr = KSPSetFromOptions(kspC);CHKERRQ(ierr);
2835           ierr = PetscOptionsGetBool(NULL,((PetscObject)kspC)->prefix,"-preconditioned",&prec,NULL);CHKERRQ(ierr);
2836           if (prec)  {
2837             ierr = KSPGetPC(ksps[i],&pc);CHKERRQ(ierr);
2838             ierr = KSPSetPC(kspC,pc);CHKERRQ(ierr);
2839           }
2840           ierr = KSPSetOperators(kspC,F,pF);CHKERRQ(ierr);
2841           ierr = MatCreateVecs(F,&x,&y);CHKERRQ(ierr);
2842           ierr = VecSetRandom(x,NULL);CHKERRQ(ierr);
2843           ierr = MatMult(F,x,y);CHKERRQ(ierr);
2844           ierr = KSPSolve(kspC,y,x);CHKERRQ(ierr);
2845           ierr = KSPCheckSolve(kspC,pc,x);CHKERRQ(ierr);
2846           ierr = KSPDestroy(&kspC);CHKERRQ(ierr);
2847           ierr = MatDestroy(&F);CHKERRQ(ierr);
2848           ierr = VecDestroy(&x);CHKERRQ(ierr);
2849           ierr = VecDestroy(&y);CHKERRQ(ierr);
2850         }
2851       }
2852       ierr = PetscFree(ksps);CHKERRQ(ierr);
2853     }
2854   }
2855   /* return pointers for objects created */
2856   *fetidp_mat = newmat;
2857   *fetidp_pc  = newpc;
2858   PetscFunctionReturn(0);
2859 }
2860 
2861 /*@C
2862  PCBDDCCreateFETIDPOperators - Create FETI-DP operators
2863 
2864    Collective
2865 
2866    Input Parameters:
2867 +  pc - the BDDC preconditioning context (setup should have been called before)
2868 .  fully_redundant - true for a fully redundant set of Lagrange multipliers
2869 -  prefix - optional options database prefix for the objects to be created (can be NULL)
2870 
2871    Output Parameters:
2872 +  fetidp_mat - shell FETI-DP matrix object
2873 -  fetidp_pc  - shell Dirichlet preconditioner for FETI-DP matrix
2874 
2875    Level: developer
2876 
2877    Notes:
2878      Currently the only operations provided for FETI-DP matrix are MatMult and MatMultTranspose
2879 
2880 .seealso: PCBDDC, PCBDDCMatFETIDPGetRHS, PCBDDCMatFETIDPGetSolution
2881 @*/
2882 PetscErrorCode PCBDDCCreateFETIDPOperators(PC pc, PetscBool fully_redundant, const char *prefix, Mat *fetidp_mat, PC *fetidp_pc)
2883 {
2884   PetscErrorCode ierr;
2885 
2886   PetscFunctionBegin;
2887   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
2888   if (pc->setupcalled) {
2889     ierr = PetscUseMethod(pc,"PCBDDCCreateFETIDPOperators_C",(PC,PetscBool,const char*,Mat*,PC*),(pc,fully_redundant,prefix,fetidp_mat,fetidp_pc));CHKERRQ(ierr);
2890   } else SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"You must call PCSetup_BDDC() first");
2891   PetscFunctionReturn(0);
2892 }
2893 /* -------------------------------------------------------------------------- */
2894 /*MC
2895    PCBDDC - Balancing Domain Decomposition by Constraints.
2896 
2897    An implementation of the BDDC preconditioner based on
2898 
2899 .vb
2900    [1] C. R. Dohrmann. "An approximate BDDC preconditioner", Numerical Linear Algebra with Applications Volume 14, Issue 2, pages 149-168, March 2007
2901    [2] A. Klawonn and O. B. Widlund. "Dual-Primal FETI Methods for Linear Elasticity", http://cs.nyu.edu/csweb/Research/TechReports/TR2004-855/TR2004-855.pdf
2902    [3] J. Mandel, B. Sousedik, C. R. Dohrmann. "Multispace and Multilevel BDDC", http://arxiv.org/abs/0712.3977
2903    [4] C. Pechstein and C. R. Dohrmann. "Modern domain decomposition methods BDDC, deluxe scaling, and an algebraic approach", Seminar talk, Linz, December 2013, http://people.ricam.oeaw.ac.at/c.pechstein/pechstein-bddc2013.pdf
2904 .ve
2905 
2906    The matrix to be preconditioned (Pmat) must be of type MATIS.
2907 
2908    Currently works with MATIS matrices with local matrices of type MATSEQAIJ, MATSEQBAIJ or MATSEQSBAIJ, either with real or complex numbers.
2909 
2910    It also works with unsymmetric and indefinite problems.
2911 
2912    Unlike 'conventional' interface preconditioners, PCBDDC iterates over all degrees of freedom, not just those on the interface. This allows the use of approximate solvers on the subdomains.
2913 
2914    Approximate local solvers are automatically adapted (see [1]) if the user has attached a nullspace object to the subdomain matrices, and informed BDDC of using approximate solvers (via the command line).
2915 
2916    Boundary nodes are split in vertices, edges and faces classes using information from the local to global mapping of dofs and the local connectivity graph of nodes. The latter can be customized by using PCBDDCSetLocalAdjacencyGraph()
2917    Additional information on dofs can be provided by using PCBDDCSetDofsSplitting(), PCBDDCSetDirichletBoundaries(), PCBDDCSetNeumannBoundaries(), and PCBDDCSetPrimalVerticesIS() and their local counterparts.
2918 
2919    Constraints can be customized by attaching a MatNullSpace object to the MATIS matrix via MatSetNearNullSpace(). Non-singular modes are retained via SVD.
2920 
2921    Change of basis is performed similarly to [2] when requested. When more than one constraint is present on a single connected component (i.e. an edge or a face), a robust method based on local QR factorizations is used.
2922    User defined change of basis can be passed to PCBDDC by using PCBDDCSetChangeOfBasisMat()
2923 
2924    The PETSc implementation also supports multilevel BDDC [3]. Coarse grids are partitioned using a MatPartitioning object.
2925 
2926    Adaptive selection of primal constraints [4] is supported for SPD systems with high-contrast in the coefficients if MUMPS or MKL_PARDISO are present. Future versions of the code will also consider using PASTIX.
2927 
2928    An experimental interface to the FETI-DP method is available. FETI-DP operators could be created using PCBDDCCreateFETIDPOperators(). A stand-alone class for the FETI-DP method will be provided in the next releases.
2929    Deluxe scaling is not supported yet for FETI-DP.
2930 
2931    Options Database Keys (some of them, run with -h for a complete list):
2932 
2933 .    -pc_bddc_use_vertices <true> - use or not vertices in primal space
2934 .    -pc_bddc_use_edges <true> - use or not edges in primal space
2935 .    -pc_bddc_use_faces <false> - use or not faces in primal space
2936 .    -pc_bddc_symmetric <true> - symmetric computation of primal basis functions. Specify false for unsymmetric problems
2937 .    -pc_bddc_use_change_of_basis <false> - use change of basis approach (on edges only)
2938 .    -pc_bddc_use_change_on_faces <false> - use change of basis approach on faces if change of basis has been requested
2939 .    -pc_bddc_switch_static <false> - switches from M_2 (default) to M_3 operator (see reference article [1])
2940 .    -pc_bddc_levels <0> - maximum number of levels for multilevel
2941 .    -pc_bddc_coarsening_ratio <8> - number of subdomains which will be aggregated together at the coarser level (e.g. H/h ratio at the coarser level, significative only in the multilevel case)
2942 .    -pc_bddc_coarse_redistribute <0> - size of a subset of processors where the coarse problem will be remapped (the value is ignored if not at the coarsest level)
2943 .    -pc_bddc_use_deluxe_scaling <false> - use deluxe scaling
2944 .    -pc_bddc_schur_layers <-1> - select the economic version of deluxe scaling by specifying the number of layers (-1 corresponds to the original deluxe scaling)
2945 .    -pc_bddc_adaptive_threshold <0.0> - when a value different than zero is specified, adaptive selection of constraints is performed on edges and faces (requires deluxe scaling and MUMPS or MKL_PARDISO installed)
2946 -    -pc_bddc_check_level <0> - set verbosity level of debugging output
2947 
2948    Options for Dirichlet, Neumann or coarse solver can be set with
2949 .vb
2950       -pc_bddc_dirichlet_
2951       -pc_bddc_neumann_
2952       -pc_bddc_coarse_
2953 .ve
2954    e.g -pc_bddc_dirichlet_ksp_type richardson -pc_bddc_dirichlet_pc_type gamg. PCBDDC uses by default KPSPREONLY and PCLU.
2955 
2956    When using a multilevel approach, solvers' options at the N-th level (N > 1) can be specified as
2957 .vb
2958       -pc_bddc_dirichlet_lN_
2959       -pc_bddc_neumann_lN_
2960       -pc_bddc_coarse_lN_
2961 .ve
2962    Note that level number ranges from the finest (0) to the coarsest (N).
2963    In order to specify options for the BDDC operators at the coarser levels (and not for the solvers), prepend -pc_bddc_coarse_ or -pc_bddc_coarse_l to the option, e.g.
2964 .vb
2965      -pc_bddc_coarse_pc_bddc_adaptive_threshold 5 -pc_bddc_coarse_l1_pc_bddc_redistribute 3
2966 .ve
2967    will use a threshold of 5 for constraints' selection at the first coarse level and will redistribute the coarse problem of the first coarse level on 3 processors
2968 
2969    Level: intermediate
2970 
2971    Developer Notes:
2972 
2973    Contributed by Stefano Zampini
2974 
2975 .seealso:  PCCreate(), PCSetType(), PCType (for list of available types), PC,  MATIS
2976 M*/
2977 
2978 PETSC_EXTERN PetscErrorCode PCCreate_BDDC(PC pc)
2979 {
2980   PetscErrorCode      ierr;
2981   PC_BDDC             *pcbddc;
2982 
2983   PetscFunctionBegin;
2984   ierr     = PetscNewLog(pc,&pcbddc);CHKERRQ(ierr);
2985   pc->data = (void*)pcbddc;
2986 
2987   /* create PCIS data structure */
2988   ierr = PCISCreate(pc);CHKERRQ(ierr);
2989 
2990   /* create local graph structure */
2991   ierr = PCBDDCGraphCreate(&pcbddc->mat_graph);CHKERRQ(ierr);
2992 
2993   /* BDDC nonzero defaults */
2994   pcbddc->use_local_adj             = PETSC_TRUE;
2995   pcbddc->use_vertices              = PETSC_TRUE;
2996   pcbddc->use_edges                 = PETSC_TRUE;
2997   pcbddc->symmetric_primal          = PETSC_TRUE;
2998   pcbddc->vertex_size               = 1;
2999   pcbddc->recompute_topography      = PETSC_TRUE;
3000   pcbddc->coarse_size               = -1;
3001   pcbddc->use_exact_dirichlet_trick = PETSC_TRUE;
3002   pcbddc->coarsening_ratio          = 8;
3003   pcbddc->coarse_eqs_per_proc       = 1;
3004   pcbddc->benign_compute_correction = PETSC_TRUE;
3005   pcbddc->nedfield                  = -1;
3006   pcbddc->nedglobal                 = PETSC_TRUE;
3007   pcbddc->graphmaxcount             = PETSC_MAX_INT;
3008   pcbddc->sub_schurs_layers         = -1;
3009   pcbddc->adaptive_threshold[0]     = 0.0;
3010   pcbddc->adaptive_threshold[1]     = 0.0;
3011 
3012   /* function pointers */
3013   pc->ops->apply               = PCApply_BDDC;
3014   pc->ops->applytranspose      = PCApplyTranspose_BDDC;
3015   pc->ops->setup               = PCSetUp_BDDC;
3016   pc->ops->destroy             = PCDestroy_BDDC;
3017   pc->ops->setfromoptions      = PCSetFromOptions_BDDC;
3018   pc->ops->view                = PCView_BDDC;
3019   pc->ops->applyrichardson     = 0;
3020   pc->ops->applysymmetricleft  = 0;
3021   pc->ops->applysymmetricright = 0;
3022   pc->ops->presolve            = PCPreSolve_BDDC;
3023   pc->ops->postsolve           = PCPostSolve_BDDC;
3024   pc->ops->reset               = PCReset_BDDC;
3025 
3026   /* composing function */
3027   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDiscreteGradient_C",PCBDDCSetDiscreteGradient_BDDC);CHKERRQ(ierr);
3028   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDivergenceMat_C",PCBDDCSetDivergenceMat_BDDC);CHKERRQ(ierr);
3029   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetChangeOfBasisMat_C",PCBDDCSetChangeOfBasisMat_BDDC);CHKERRQ(ierr);
3030   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetPrimalVerticesLocalIS_C",PCBDDCSetPrimalVerticesLocalIS_BDDC);CHKERRQ(ierr);
3031   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetPrimalVerticesIS_C",PCBDDCSetPrimalVerticesIS_BDDC);CHKERRQ(ierr);
3032   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetPrimalVerticesLocalIS_C",PCBDDCGetPrimalVerticesLocalIS_BDDC);CHKERRQ(ierr);
3033   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetPrimalVerticesIS_C",PCBDDCGetPrimalVerticesIS_BDDC);CHKERRQ(ierr);
3034   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetCoarseningRatio_C",PCBDDCSetCoarseningRatio_BDDC);CHKERRQ(ierr);
3035   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevel_C",PCBDDCSetLevel_BDDC);CHKERRQ(ierr);
3036   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetUseExactDirichlet_C",PCBDDCSetUseExactDirichlet_BDDC);CHKERRQ(ierr);
3037   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevels_C",PCBDDCSetLevels_BDDC);CHKERRQ(ierr);
3038   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundaries_C",PCBDDCSetDirichletBoundaries_BDDC);CHKERRQ(ierr);
3039   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundariesLocal_C",PCBDDCSetDirichletBoundariesLocal_BDDC);CHKERRQ(ierr);
3040   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundaries_C",PCBDDCSetNeumannBoundaries_BDDC);CHKERRQ(ierr);
3041   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundariesLocal_C",PCBDDCSetNeumannBoundariesLocal_BDDC);CHKERRQ(ierr);
3042   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundaries_C",PCBDDCGetDirichletBoundaries_BDDC);CHKERRQ(ierr);
3043   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundariesLocal_C",PCBDDCGetDirichletBoundariesLocal_BDDC);CHKERRQ(ierr);
3044   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundaries_C",PCBDDCGetNeumannBoundaries_BDDC);CHKERRQ(ierr);
3045   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundariesLocal_C",PCBDDCGetNeumannBoundariesLocal_BDDC);CHKERRQ(ierr);
3046   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplitting_C",PCBDDCSetDofsSplitting_BDDC);CHKERRQ(ierr);
3047   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplittingLocal_C",PCBDDCSetDofsSplittingLocal_BDDC);CHKERRQ(ierr);
3048   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLocalAdjacencyGraph_C",PCBDDCSetLocalAdjacencyGraph_BDDC);CHKERRQ(ierr);
3049   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCCreateFETIDPOperators_C",PCBDDCCreateFETIDPOperators_BDDC);CHKERRQ(ierr);
3050   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetRHS_C",PCBDDCMatFETIDPGetRHS_BDDC);CHKERRQ(ierr);
3051   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetSolution_C",PCBDDCMatFETIDPGetSolution_BDDC);CHKERRQ(ierr);
3052   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCPreSolveChangeRHS_C",PCPreSolveChangeRHS_BDDC);CHKERRQ(ierr);
3053   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCSetCoordinates_C",PCSetCoordinates_BDDC);CHKERRQ(ierr);
3054   PetscFunctionReturn(0);
3055 }
3056 
3057 /*@C
3058  PCBDDCInitializePackage - This function initializes everything in the PCBDDC package. It is called
3059     from PCInitializePackage().
3060 
3061  Level: developer
3062 
3063  .keywords: PC, PCBDDC, initialize, package
3064  .seealso: PetscInitialize()
3065 @*/
3066 PetscErrorCode PCBDDCInitializePackage(void)
3067 {
3068   PetscErrorCode ierr;
3069   int            i;
3070 
3071   PetscFunctionBegin;
3072   if (PCBDDCPackageInitialized) PetscFunctionReturn(0);
3073   PCBDDCPackageInitialized = PETSC_TRUE;
3074   ierr = PetscRegisterFinalize(PCBDDCFinalizePackage);CHKERRQ(ierr);
3075 
3076   /* general events */
3077   ierr = PetscLogEventRegister("PCBDDCTopo",PC_CLASSID,&PC_BDDC_Topology[0]);CHKERRQ(ierr);
3078   ierr = PetscLogEventRegister("PCBDDCLKSP",PC_CLASSID,&PC_BDDC_LocalSolvers[0]);CHKERRQ(ierr);
3079   ierr = PetscLogEventRegister("PCBDDCLWor",PC_CLASSID,&PC_BDDC_LocalWork[0]);CHKERRQ(ierr);
3080   ierr = PetscLogEventRegister("PCBDDCCorr",PC_CLASSID,&PC_BDDC_CorrectionSetUp[0]);CHKERRQ(ierr);
3081   ierr = PetscLogEventRegister("PCBDDCCSet",PC_CLASSID,&PC_BDDC_CoarseSetUp[0]);CHKERRQ(ierr);
3082   ierr = PetscLogEventRegister("PCBDDCCKSP",PC_CLASSID,&PC_BDDC_CoarseSolver[0]);CHKERRQ(ierr);
3083   ierr = PetscLogEventRegister("PCBDDCAdap",PC_CLASSID,&PC_BDDC_AdaptiveSetUp[0]);CHKERRQ(ierr);
3084   ierr = PetscLogEventRegister("PCBDDCScal",PC_CLASSID,&PC_BDDC_Scaling[0]);CHKERRQ(ierr);
3085   ierr = PetscLogEventRegister("PCBDDCSchr",PC_CLASSID,&PC_BDDC_Schurs[0]);CHKERRQ(ierr);
3086   for (i=1;i<PETSC_PCBDDC_MAXLEVELS;i++) {
3087     char ename[32];
3088 
3089     ierr = PetscSNPrintf(ename,sizeof(ename),"PCBDDCTopo l%02d",i);CHKERRQ(ierr);
3090     ierr = PetscLogEventRegister(ename,PC_CLASSID,&PC_BDDC_Topology[i]);CHKERRQ(ierr);
3091     ierr = PetscSNPrintf(ename,sizeof(ename),"PCBDDCLKSP l%02d",i);CHKERRQ(ierr);
3092     ierr = PetscLogEventRegister(ename,PC_CLASSID,&PC_BDDC_LocalSolvers[i]);CHKERRQ(ierr);
3093     ierr = PetscSNPrintf(ename,sizeof(ename),"PCBDDCLWor l%02d",i);CHKERRQ(ierr);
3094     ierr = PetscLogEventRegister(ename,PC_CLASSID,&PC_BDDC_LocalWork[i]);CHKERRQ(ierr);
3095     ierr = PetscSNPrintf(ename,sizeof(ename),"PCBDDCCorr l%02d",i);CHKERRQ(ierr);
3096     ierr = PetscLogEventRegister(ename,PC_CLASSID,&PC_BDDC_CorrectionSetUp[i]);CHKERRQ(ierr);
3097     ierr = PetscSNPrintf(ename,sizeof(ename),"PCBDDCCSet l%02d",i);CHKERRQ(ierr);
3098     ierr = PetscLogEventRegister(ename,PC_CLASSID,&PC_BDDC_CoarseSetUp[i]);CHKERRQ(ierr);
3099     ierr = PetscSNPrintf(ename,sizeof(ename),"PCBDDCCKSP l%02d",i);CHKERRQ(ierr);
3100     ierr = PetscLogEventRegister(ename,PC_CLASSID,&PC_BDDC_CoarseSolver[i]);CHKERRQ(ierr);
3101     ierr = PetscSNPrintf(ename,sizeof(ename),"PCBDDCAdap l%02d",i);CHKERRQ(ierr);
3102     ierr = PetscLogEventRegister(ename,PC_CLASSID,&PC_BDDC_AdaptiveSetUp[i]);CHKERRQ(ierr);
3103     ierr = PetscSNPrintf(ename,sizeof(ename),"PCBDDCScal l%02d",i);CHKERRQ(ierr);
3104     ierr = PetscLogEventRegister(ename,PC_CLASSID,&PC_BDDC_Scaling[i]);CHKERRQ(ierr);
3105     ierr = PetscSNPrintf(ename,sizeof(ename),"PCBDDCSchr l%02d",i);CHKERRQ(ierr);
3106     ierr = PetscLogEventRegister(ename,PC_CLASSID,&PC_BDDC_Schurs[i]);CHKERRQ(ierr);
3107   }
3108   PetscFunctionReturn(0);
3109 }
3110 
3111 /*@C
3112  PCBDDCFinalizePackage - This function frees everything from the PCBDDC package. It is
3113     called from PetscFinalize() automatically.
3114 
3115  Level: developer
3116 
3117  .keywords: Petsc, destroy, package
3118  .seealso: PetscFinalize()
3119 @*/
3120 PetscErrorCode PCBDDCFinalizePackage(void)
3121 {
3122   PetscFunctionBegin;
3123   PCBDDCPackageInitialized = PETSC_FALSE;
3124   PetscFunctionReturn(0);
3125 }
3126