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 = VecLockReadPop(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 = VecLockReadPop(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 if (pcbddc->corner_selected) pcbddc->use_vertices = PETSC_TRUE; 1644 1645 /* change basis if requested by the user */ 1646 if (pcbddc->user_ChangeOfBasisMatrix) { 1647 /* use_change_of_basis flag is used to automatically compute a change of basis from constraints */ 1648 pcbddc->use_change_of_basis = PETSC_FALSE; 1649 ierr = PCBDDCComputeLocalMatrix(pc,pcbddc->user_ChangeOfBasisMatrix);CHKERRQ(ierr); 1650 } else { 1651 ierr = MatDestroy(&pcbddc->local_mat);CHKERRQ(ierr); 1652 ierr = PetscObjectReference((PetscObject)matis->A);CHKERRQ(ierr); 1653 pcbddc->local_mat = matis->A; 1654 } 1655 1656 /* 1657 Compute change of basis on local pressures (aka zerodiag dofs) with the benign trick 1658 This should come earlier then PCISSetUp for extracting the correct subdomain matrices 1659 */ 1660 ierr = PCBDDCBenignShellMat(pc,PETSC_TRUE);CHKERRQ(ierr); 1661 if (pcbddc->benign_saddle_point) { 1662 PC_IS* pcis = (PC_IS*)pc->data; 1663 1664 if (pcbddc->user_ChangeOfBasisMatrix || pcbddc->use_change_of_basis || !computesubschurs) pcbddc->benign_change_explicit = PETSC_TRUE; 1665 /* detect local saddle point and change the basis in pcbddc->local_mat */ 1666 ierr = PCBDDCBenignDetectSaddlePoint(pc,(PetscBool)(!pcbddc->recompute_topography),&zerodiag);CHKERRQ(ierr); 1667 /* pop B0 mat from local mat */ 1668 ierr = PCBDDCBenignPopOrPushB0(pc,PETSC_TRUE);CHKERRQ(ierr); 1669 /* give pcis a hint to not reuse submatrices during PCISCreate */ 1670 if (pc->flag == SAME_NONZERO_PATTERN && pcis->reusesubmatrices == PETSC_TRUE) { 1671 if (pcbddc->benign_n && (pcbddc->benign_change_explicit || pcbddc->dbg_flag)) { 1672 pcis->reusesubmatrices = PETSC_FALSE; 1673 } else { 1674 pcis->reusesubmatrices = PETSC_TRUE; 1675 } 1676 } else { 1677 pcis->reusesubmatrices = PETSC_FALSE; 1678 } 1679 } 1680 1681 /* propagate relevant information */ 1682 if (matis->A->symmetric_set) { 1683 ierr = MatSetOption(pcbddc->local_mat,MAT_SYMMETRIC,matis->A->symmetric);CHKERRQ(ierr); 1684 } 1685 if (matis->A->spd_set) { 1686 ierr = MatSetOption(pcbddc->local_mat,MAT_SPD,matis->A->spd);CHKERRQ(ierr); 1687 } 1688 1689 /* Set up all the "iterative substructuring" common block without computing solvers */ 1690 { 1691 Mat temp_mat; 1692 1693 temp_mat = matis->A; 1694 matis->A = pcbddc->local_mat; 1695 ierr = PCISSetUp(pc,PETSC_TRUE,PETSC_FALSE);CHKERRQ(ierr); 1696 pcbddc->local_mat = matis->A; 1697 matis->A = temp_mat; 1698 } 1699 1700 /* Analyze interface */ 1701 if (!pcbddc->graphanalyzed) { 1702 ierr = PCBDDCAnalyzeInterface(pc);CHKERRQ(ierr); 1703 computeconstraintsmatrix = PETSC_TRUE; 1704 if (pcbddc->adaptive_selection && !pcbddc->use_deluxe_scaling && !pcbddc->mat_graph->twodim) { 1705 SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Cannot compute the adaptive primal space for a problem with 3D edges without deluxe scaling"); 1706 } 1707 if (pcbddc->compute_nonetflux) { 1708 MatNullSpace nnfnnsp; 1709 1710 if (!pcbddc->divudotp) SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Missing divudotp operator"); 1711 ierr = PCBDDCComputeNoNetFlux(pc->pmat,pcbddc->divudotp,pcbddc->divudotp_trans,pcbddc->divudotp_vl2l,pcbddc->mat_graph,&nnfnnsp);CHKERRQ(ierr); 1712 /* TODO what if a nearnullspace is already attached? */ 1713 if (nnfnnsp) { 1714 ierr = MatSetNearNullSpace(pc->pmat,nnfnnsp);CHKERRQ(ierr); 1715 ierr = MatNullSpaceDestroy(&nnfnnsp);CHKERRQ(ierr); 1716 } 1717 } 1718 } 1719 ierr = PetscLogEventEnd(PC_BDDC_Topology[pcbddc->current_level],pc,0,0,0);CHKERRQ(ierr); 1720 1721 /* check existence of a divergence free extension, i.e. 1722 b(v_I,p_0) = 0 for all v_I (raise error if not). 1723 Also, check that PCBDDCBenignGetOrSetP0 works */ 1724 if (pcbddc->benign_saddle_point && pcbddc->dbg_flag > 1) { 1725 ierr = PCBDDCBenignCheck(pc,zerodiag);CHKERRQ(ierr); 1726 } 1727 ierr = ISDestroy(&zerodiag);CHKERRQ(ierr); 1728 1729 /* Setup local dirichlet solver ksp_D and sub_schurs solvers */ 1730 if (computesubschurs && pcbddc->recompute_topography) { 1731 ierr = PCBDDCInitSubSchurs(pc);CHKERRQ(ierr); 1732 } 1733 /* SetUp Scaling operator (scaling matrices could be needed in SubSchursSetUp)*/ 1734 if (!pcbddc->use_deluxe_scaling) { 1735 ierr = PCBDDCScalingSetUp(pc);CHKERRQ(ierr); 1736 } 1737 1738 /* finish setup solvers and do adaptive selection of constraints */ 1739 sub_schurs = pcbddc->sub_schurs; 1740 if (sub_schurs && sub_schurs->schur_explicit) { 1741 if (computesubschurs) { 1742 ierr = PCBDDCSetUpSubSchurs(pc);CHKERRQ(ierr); 1743 } 1744 ierr = PCBDDCSetUpLocalSolvers(pc,PETSC_TRUE,PETSC_FALSE);CHKERRQ(ierr); 1745 } else { 1746 ierr = PCBDDCSetUpLocalSolvers(pc,PETSC_TRUE,PETSC_FALSE);CHKERRQ(ierr); 1747 if (computesubschurs) { 1748 ierr = PCBDDCSetUpSubSchurs(pc);CHKERRQ(ierr); 1749 } 1750 } 1751 if (pcbddc->adaptive_selection) { 1752 ierr = PCBDDCAdaptiveSelection(pc);CHKERRQ(ierr); 1753 computeconstraintsmatrix = PETSC_TRUE; 1754 } 1755 1756 /* infer if NullSpace object attached to Mat via MatSetNearNullSpace has changed */ 1757 new_nearnullspace_provided = PETSC_FALSE; 1758 ierr = MatGetNearNullSpace(pc->pmat,&nearnullspace);CHKERRQ(ierr); 1759 if (pcbddc->onearnullspace) { /* already used nearnullspace */ 1760 if (!nearnullspace) { /* near null space attached to mat has been destroyed */ 1761 new_nearnullspace_provided = PETSC_TRUE; 1762 } else { 1763 /* determine if the two nullspaces are different (should be lightweight) */ 1764 if (nearnullspace != pcbddc->onearnullspace) { 1765 new_nearnullspace_provided = PETSC_TRUE; 1766 } else { /* maybe the user has changed the content of the nearnullspace so check vectors ObjectStateId */ 1767 PetscInt i; 1768 const Vec *nearnullvecs; 1769 PetscObjectState state; 1770 PetscInt nnsp_size; 1771 ierr = MatNullSpaceGetVecs(nearnullspace,NULL,&nnsp_size,&nearnullvecs);CHKERRQ(ierr); 1772 for (i=0;i<nnsp_size;i++) { 1773 ierr = PetscObjectStateGet((PetscObject)nearnullvecs[i],&state);CHKERRQ(ierr); 1774 if (pcbddc->onearnullvecs_state[i] != state) { 1775 new_nearnullspace_provided = PETSC_TRUE; 1776 break; 1777 } 1778 } 1779 } 1780 } 1781 } else { 1782 if (!nearnullspace) { /* both nearnullspaces are null */ 1783 new_nearnullspace_provided = PETSC_FALSE; 1784 } else { /* nearnullspace attached later */ 1785 new_nearnullspace_provided = PETSC_TRUE; 1786 } 1787 } 1788 1789 /* Setup constraints and related work vectors */ 1790 /* reset primal space flags */ 1791 ierr = PetscLogEventBegin(PC_BDDC_LocalWork[pcbddc->current_level],pc,0,0,0);CHKERRQ(ierr); 1792 pcbddc->new_primal_space = PETSC_FALSE; 1793 pcbddc->new_primal_space_local = PETSC_FALSE; 1794 if (computeconstraintsmatrix || new_nearnullspace_provided) { 1795 /* It also sets the primal space flags */ 1796 ierr = PCBDDCConstraintsSetUp(pc);CHKERRQ(ierr); 1797 } 1798 /* Allocate needed local vectors (which depends on quantities defined during ConstraintsSetUp) */ 1799 ierr = PCBDDCSetUpLocalWorkVectors(pc);CHKERRQ(ierr); 1800 1801 if (pcbddc->use_change_of_basis) { 1802 PC_IS *pcis = (PC_IS*)(pc->data); 1803 1804 ierr = PCBDDCComputeLocalMatrix(pc,pcbddc->ChangeOfBasisMatrix);CHKERRQ(ierr); 1805 if (pcbddc->benign_change) { 1806 ierr = MatDestroy(&pcbddc->benign_B0);CHKERRQ(ierr); 1807 /* pop B0 from pcbddc->local_mat */ 1808 ierr = PCBDDCBenignPopOrPushB0(pc,PETSC_TRUE);CHKERRQ(ierr); 1809 } 1810 /* get submatrices */ 1811 ierr = MatDestroy(&pcis->A_IB);CHKERRQ(ierr); 1812 ierr = MatDestroy(&pcis->A_BI);CHKERRQ(ierr); 1813 ierr = MatDestroy(&pcis->A_BB);CHKERRQ(ierr); 1814 ierr = MatCreateSubMatrix(pcbddc->local_mat,pcis->is_B_local,pcis->is_B_local,MAT_INITIAL_MATRIX,&pcis->A_BB);CHKERRQ(ierr); 1815 ierr = MatCreateSubMatrix(pcbddc->local_mat,pcis->is_I_local,pcis->is_B_local,MAT_INITIAL_MATRIX,&pcis->A_IB);CHKERRQ(ierr); 1816 ierr = MatCreateSubMatrix(pcbddc->local_mat,pcis->is_B_local,pcis->is_I_local,MAT_INITIAL_MATRIX,&pcis->A_BI);CHKERRQ(ierr); 1817 /* set flag in pcis to not reuse submatrices during PCISCreate */ 1818 pcis->reusesubmatrices = PETSC_FALSE; 1819 } else if (!pcbddc->user_ChangeOfBasisMatrix && !pcbddc->benign_change) { 1820 ierr = MatDestroy(&pcbddc->local_mat);CHKERRQ(ierr); 1821 ierr = PetscObjectReference((PetscObject)matis->A);CHKERRQ(ierr); 1822 pcbddc->local_mat = matis->A; 1823 } 1824 1825 /* interface pressure block row for B_C */ 1826 ierr = PetscObjectQuery((PetscObject)pc,"__KSPFETIDP_lP" ,(PetscObject*)&lP);CHKERRQ(ierr); 1827 ierr = PetscObjectQuery((PetscObject)pc,"__KSPFETIDP_lA" ,(PetscObject*)&lA);CHKERRQ(ierr); 1828 if (lA && lP) { 1829 PC_IS* pcis = (PC_IS*)pc->data; 1830 Mat B_BI,B_BB,Bt_BI,Bt_BB; 1831 PetscBool issym; 1832 ierr = MatIsSymmetric(lA,PETSC_SMALL,&issym);CHKERRQ(ierr); 1833 if (issym) { 1834 ierr = MatCreateSubMatrix(lA,lP,pcis->is_I_local,MAT_INITIAL_MATRIX,&B_BI);CHKERRQ(ierr); 1835 ierr = MatCreateSubMatrix(lA,lP,pcis->is_B_local,MAT_INITIAL_MATRIX,&B_BB);CHKERRQ(ierr); 1836 ierr = MatCreateTranspose(B_BI,&Bt_BI);CHKERRQ(ierr); 1837 ierr = MatCreateTranspose(B_BB,&Bt_BB);CHKERRQ(ierr); 1838 } else { 1839 ierr = MatCreateSubMatrix(lA,lP,pcis->is_I_local,MAT_INITIAL_MATRIX,&B_BI);CHKERRQ(ierr); 1840 ierr = MatCreateSubMatrix(lA,lP,pcis->is_B_local,MAT_INITIAL_MATRIX,&B_BB);CHKERRQ(ierr); 1841 ierr = MatCreateSubMatrix(lA,pcis->is_I_local,lP,MAT_INITIAL_MATRIX,&Bt_BI);CHKERRQ(ierr); 1842 ierr = MatCreateSubMatrix(lA,pcis->is_B_local,lP,MAT_INITIAL_MATRIX,&Bt_BB);CHKERRQ(ierr); 1843 } 1844 ierr = PetscObjectCompose((PetscObject)pc,"__KSPFETIDP_B_BI",(PetscObject)B_BI);CHKERRQ(ierr); 1845 ierr = PetscObjectCompose((PetscObject)pc,"__KSPFETIDP_B_BB",(PetscObject)B_BB);CHKERRQ(ierr); 1846 ierr = PetscObjectCompose((PetscObject)pc,"__KSPFETIDP_Bt_BI",(PetscObject)Bt_BI);CHKERRQ(ierr); 1847 ierr = PetscObjectCompose((PetscObject)pc,"__KSPFETIDP_Bt_BB",(PetscObject)Bt_BB);CHKERRQ(ierr); 1848 ierr = MatDestroy(&B_BI);CHKERRQ(ierr); 1849 ierr = MatDestroy(&B_BB);CHKERRQ(ierr); 1850 ierr = MatDestroy(&Bt_BI);CHKERRQ(ierr); 1851 ierr = MatDestroy(&Bt_BB);CHKERRQ(ierr); 1852 } 1853 ierr = PetscLogEventEnd(PC_BDDC_LocalWork[pcbddc->current_level],pc,0,0,0);CHKERRQ(ierr); 1854 1855 /* SetUp coarse and local Neumann solvers */ 1856 ierr = PCBDDCSetUpSolvers(pc);CHKERRQ(ierr); 1857 /* SetUp Scaling operator */ 1858 if (pcbddc->use_deluxe_scaling) { 1859 ierr = PCBDDCScalingSetUp(pc);CHKERRQ(ierr); 1860 } 1861 1862 /* mark topography as done */ 1863 pcbddc->recompute_topography = PETSC_FALSE; 1864 1865 /* wrap pcis->A_IB and pcis->A_BI if we did not change explicitly the variables on the pressures */ 1866 ierr = PCBDDCBenignShellMat(pc,PETSC_FALSE);CHKERRQ(ierr); 1867 1868 if (pcbddc->dbg_flag) { 1869 ierr = PetscViewerASCIISubtractTab(pcbddc->dbg_viewer,2*pcbddc->current_level);CHKERRQ(ierr); 1870 ierr = PetscViewerASCIIPopSynchronized(pcbddc->dbg_viewer);CHKERRQ(ierr); 1871 } 1872 PetscFunctionReturn(0); 1873 } 1874 1875 /* 1876 PCApply_BDDC - Applies the BDDC operator to a vector. 1877 1878 Input Parameters: 1879 + pc - the preconditioner context 1880 - r - input vector (global) 1881 1882 Output Parameter: 1883 . z - output vector (global) 1884 1885 Application Interface Routine: PCApply() 1886 */ 1887 PetscErrorCode PCApply_BDDC(PC pc,Vec r,Vec z) 1888 { 1889 PC_IS *pcis = (PC_IS*)(pc->data); 1890 PC_BDDC *pcbddc = (PC_BDDC*)(pc->data); 1891 Mat lA = NULL; 1892 PetscInt n_B = pcis->n_B, n_D = pcis->n - n_B; 1893 PetscErrorCode ierr; 1894 const PetscScalar one = 1.0; 1895 const PetscScalar m_one = -1.0; 1896 const PetscScalar zero = 0.0; 1897 /* This code is similar to that provided in nn.c for PCNN 1898 NN interface preconditioner changed to BDDC 1899 Added support for M_3 preconditioner in the reference article (code is active if pcbddc->switch_static == PETSC_TRUE) */ 1900 1901 PetscFunctionBegin; 1902 ierr = PetscCitationsRegister(citation,&cited);CHKERRQ(ierr); 1903 if (pcbddc->switch_static) { 1904 ierr = MatISGetLocalMat(pc->useAmat ? pc->mat : pc->pmat,&lA);CHKERRQ(ierr); 1905 } 1906 1907 if (pcbddc->ChangeOfBasisMatrix) { 1908 Vec swap; 1909 1910 ierr = MatMultTranspose(pcbddc->ChangeOfBasisMatrix,r,pcbddc->work_change);CHKERRQ(ierr); 1911 swap = pcbddc->work_change; 1912 pcbddc->work_change = r; 1913 r = swap; 1914 /* save rhs so that we don't need to apply the change of basis for the exact dirichlet trick in PreSolve */ 1915 if (pcbddc->benign_apply_coarse_only && pcbddc->use_exact_dirichlet_trick && pcbddc->change_interior) { 1916 ierr = VecCopy(r,pcis->vec1_global);CHKERRQ(ierr); 1917 ierr = VecLockReadPush(pcis->vec1_global);CHKERRQ(ierr); 1918 } 1919 } 1920 if (pcbddc->benign_have_null) { /* get p0 from r */ 1921 ierr = PCBDDCBenignGetOrSetP0(pc,r,PETSC_TRUE);CHKERRQ(ierr); 1922 } 1923 if (!pcbddc->exact_dirichlet_trick_app && !pcbddc->benign_apply_coarse_only) { 1924 ierr = VecCopy(r,z);CHKERRQ(ierr); 1925 /* First Dirichlet solve */ 1926 ierr = VecScatterBegin(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1927 ierr = VecScatterEnd(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1928 /* 1929 Assembling right hand side for BDDC operator 1930 - pcis->vec1_D for the Dirichlet part (if needed, i.e. pcbddc->switch_static == PETSC_TRUE) 1931 - pcis->vec1_B the interface part of the global vector z 1932 */ 1933 if (n_D) { 1934 ierr = KSPSolve(pcbddc->ksp_D,pcis->vec1_D,pcis->vec2_D);CHKERRQ(ierr); 1935 ierr = KSPCheckSolve(pcbddc->ksp_D,pc,pcis->vec2_D);CHKERRQ(ierr); 1936 ierr = VecScale(pcis->vec2_D,m_one);CHKERRQ(ierr); 1937 if (pcbddc->switch_static) { 1938 ierr = VecSet(pcis->vec1_N,0.);CHKERRQ(ierr); 1939 ierr = VecScatterBegin(pcis->N_to_D,pcis->vec2_D,pcis->vec1_N,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1940 ierr = VecScatterEnd(pcis->N_to_D,pcis->vec2_D,pcis->vec1_N,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1941 if (!pcbddc->switch_static_change) { 1942 ierr = MatMult(lA,pcis->vec1_N,pcis->vec2_N);CHKERRQ(ierr); 1943 } else { 1944 ierr = MatMult(pcbddc->switch_static_change,pcis->vec1_N,pcis->vec2_N);CHKERRQ(ierr); 1945 ierr = MatMult(lA,pcis->vec2_N,pcis->vec1_N);CHKERRQ(ierr); 1946 ierr = MatMultTranspose(pcbddc->switch_static_change,pcis->vec1_N,pcis->vec2_N);CHKERRQ(ierr); 1947 } 1948 ierr = VecScatterBegin(pcis->N_to_D,pcis->vec2_N,pcis->vec1_D,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1949 ierr = VecScatterEnd(pcis->N_to_D,pcis->vec2_N,pcis->vec1_D,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1950 ierr = VecScatterBegin(pcis->N_to_B,pcis->vec2_N,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1951 ierr = VecScatterEnd(pcis->N_to_B,pcis->vec2_N,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1952 } else { 1953 ierr = MatMult(pcis->A_BI,pcis->vec2_D,pcis->vec1_B);CHKERRQ(ierr); 1954 } 1955 } else { 1956 ierr = VecSet(pcis->vec1_B,zero);CHKERRQ(ierr); 1957 } 1958 ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1959 ierr = VecScatterEnd(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1960 ierr = PCBDDCScalingRestriction(pc,z,pcis->vec1_B);CHKERRQ(ierr); 1961 } else { 1962 if (!pcbddc->benign_apply_coarse_only) { 1963 ierr = PCBDDCScalingRestriction(pc,r,pcis->vec1_B);CHKERRQ(ierr); 1964 } 1965 } 1966 1967 /* Apply interface preconditioner 1968 input/output vecs: pcis->vec1_B and pcis->vec1_D */ 1969 ierr = PCBDDCApplyInterfacePreconditioner(pc,PETSC_FALSE);CHKERRQ(ierr); 1970 1971 /* Apply transpose of partition of unity operator */ 1972 ierr = PCBDDCScalingExtension(pc,pcis->vec1_B,z);CHKERRQ(ierr); 1973 1974 /* Second Dirichlet solve and assembling of output */ 1975 ierr = VecScatterBegin(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1976 ierr = VecScatterEnd(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1977 if (n_B) { 1978 if (pcbddc->switch_static) { 1979 ierr = VecScatterBegin(pcis->N_to_D,pcis->vec1_D,pcis->vec1_N,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1980 ierr = VecScatterEnd(pcis->N_to_D,pcis->vec1_D,pcis->vec1_N,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1981 ierr = VecScatterBegin(pcis->N_to_B,pcis->vec1_B,pcis->vec1_N,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1982 ierr = VecScatterEnd(pcis->N_to_B,pcis->vec1_B,pcis->vec1_N,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1983 if (!pcbddc->switch_static_change) { 1984 ierr = MatMult(lA,pcis->vec1_N,pcis->vec2_N);CHKERRQ(ierr); 1985 } else { 1986 ierr = MatMult(pcbddc->switch_static_change,pcis->vec1_N,pcis->vec2_N);CHKERRQ(ierr); 1987 ierr = MatMult(lA,pcis->vec2_N,pcis->vec1_N);CHKERRQ(ierr); 1988 ierr = MatMultTranspose(pcbddc->switch_static_change,pcis->vec1_N,pcis->vec2_N);CHKERRQ(ierr); 1989 } 1990 ierr = VecScatterBegin(pcis->N_to_D,pcis->vec2_N,pcis->vec3_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1991 ierr = VecScatterEnd(pcis->N_to_D,pcis->vec2_N,pcis->vec3_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1992 } else { 1993 ierr = MatMult(pcis->A_IB,pcis->vec1_B,pcis->vec3_D);CHKERRQ(ierr); 1994 } 1995 } else if (pcbddc->switch_static) { /* n_B is zero */ 1996 if (!pcbddc->switch_static_change) { 1997 ierr = MatMult(lA,pcis->vec1_D,pcis->vec3_D);CHKERRQ(ierr); 1998 } else { 1999 ierr = MatMult(pcbddc->switch_static_change,pcis->vec1_D,pcis->vec1_N);CHKERRQ(ierr); 2000 ierr = MatMult(lA,pcis->vec1_N,pcis->vec2_N);CHKERRQ(ierr); 2001 ierr = MatMultTranspose(pcbddc->switch_static_change,pcis->vec2_N,pcis->vec3_D);CHKERRQ(ierr); 2002 } 2003 } 2004 ierr = KSPSolve(pcbddc->ksp_D,pcis->vec3_D,pcis->vec4_D);CHKERRQ(ierr); 2005 ierr = KSPCheckSolve(pcbddc->ksp_D,pc,pcis->vec4_D);CHKERRQ(ierr); 2006 2007 if (!pcbddc->exact_dirichlet_trick_app && !pcbddc->benign_apply_coarse_only) { 2008 if (pcbddc->switch_static) { 2009 ierr = VecAXPBYPCZ(pcis->vec2_D,m_one,one,m_one,pcis->vec4_D,pcis->vec1_D);CHKERRQ(ierr); 2010 } else { 2011 ierr = VecAXPBY(pcis->vec2_D,m_one,m_one,pcis->vec4_D);CHKERRQ(ierr); 2012 } 2013 ierr = VecScatterBegin(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 2014 ierr = VecScatterEnd(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 2015 } else { 2016 if (pcbddc->switch_static) { 2017 ierr = VecAXPBY(pcis->vec4_D,one,m_one,pcis->vec1_D);CHKERRQ(ierr); 2018 } else { 2019 ierr = VecScale(pcis->vec4_D,m_one);CHKERRQ(ierr); 2020 } 2021 ierr = VecScatterBegin(pcis->global_to_D,pcis->vec4_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 2022 ierr = VecScatterEnd(pcis->global_to_D,pcis->vec4_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 2023 } 2024 if (pcbddc->benign_have_null) { /* set p0 (computed in PCBDDCApplyInterface) */ 2025 if (pcbddc->benign_apply_coarse_only) { 2026 ierr = PetscMemzero(pcbddc->benign_p0,pcbddc->benign_n*sizeof(PetscScalar));CHKERRQ(ierr); 2027 } 2028 ierr = PCBDDCBenignGetOrSetP0(pc,z,PETSC_FALSE);CHKERRQ(ierr); 2029 } 2030 2031 if (pcbddc->ChangeOfBasisMatrix) { 2032 pcbddc->work_change = r; 2033 ierr = VecCopy(z,pcbddc->work_change);CHKERRQ(ierr); 2034 ierr = MatMult(pcbddc->ChangeOfBasisMatrix,pcbddc->work_change,z);CHKERRQ(ierr); 2035 } 2036 PetscFunctionReturn(0); 2037 } 2038 2039 /* 2040 PCApplyTranspose_BDDC - Applies the transpose of the BDDC operator to a vector. 2041 2042 Input Parameters: 2043 + pc - the preconditioner context 2044 - r - input vector (global) 2045 2046 Output Parameter: 2047 . z - output vector (global) 2048 2049 Application Interface Routine: PCApplyTranspose() 2050 */ 2051 PetscErrorCode PCApplyTranspose_BDDC(PC pc,Vec r,Vec z) 2052 { 2053 PC_IS *pcis = (PC_IS*)(pc->data); 2054 PC_BDDC *pcbddc = (PC_BDDC*)(pc->data); 2055 Mat lA = NULL; 2056 PetscInt n_B = pcis->n_B, n_D = pcis->n - n_B; 2057 PetscErrorCode ierr; 2058 const PetscScalar one = 1.0; 2059 const PetscScalar m_one = -1.0; 2060 const PetscScalar zero = 0.0; 2061 2062 PetscFunctionBegin; 2063 ierr = PetscCitationsRegister(citation,&cited);CHKERRQ(ierr); 2064 if (pcbddc->switch_static) { 2065 ierr = MatISGetLocalMat(pc->useAmat ? pc->mat : pc->pmat,&lA);CHKERRQ(ierr); 2066 } 2067 if (pcbddc->ChangeOfBasisMatrix) { 2068 Vec swap; 2069 2070 ierr = MatMultTranspose(pcbddc->ChangeOfBasisMatrix,r,pcbddc->work_change);CHKERRQ(ierr); 2071 swap = pcbddc->work_change; 2072 pcbddc->work_change = r; 2073 r = swap; 2074 /* save rhs so that we don't need to apply the change of basis for the exact dirichlet trick in PreSolve */ 2075 if (pcbddc->benign_apply_coarse_only && pcbddc->exact_dirichlet_trick_app && pcbddc->change_interior) { 2076 ierr = VecCopy(r,pcis->vec1_global);CHKERRQ(ierr); 2077 ierr = VecLockReadPush(pcis->vec1_global);CHKERRQ(ierr); 2078 } 2079 } 2080 if (pcbddc->benign_have_null) { /* get p0 from r */ 2081 ierr = PCBDDCBenignGetOrSetP0(pc,r,PETSC_TRUE);CHKERRQ(ierr); 2082 } 2083 if (!pcbddc->exact_dirichlet_trick_app && !pcbddc->benign_apply_coarse_only) { 2084 ierr = VecCopy(r,z);CHKERRQ(ierr); 2085 /* First Dirichlet solve */ 2086 ierr = VecScatterBegin(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 2087 ierr = VecScatterEnd(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 2088 /* 2089 Assembling right hand side for BDDC operator 2090 - pcis->vec1_D for the Dirichlet part (if needed, i.e. pcbddc->switch_static == PETSC_TRUE) 2091 - pcis->vec1_B the interface part of the global vector z 2092 */ 2093 if (n_D) { 2094 ierr = KSPSolveTranspose(pcbddc->ksp_D,pcis->vec1_D,pcis->vec2_D);CHKERRQ(ierr); 2095 ierr = KSPCheckSolve(pcbddc->ksp_D,pc,pcis->vec2_D);CHKERRQ(ierr); 2096 ierr = VecScale(pcis->vec2_D,m_one);CHKERRQ(ierr); 2097 if (pcbddc->switch_static) { 2098 ierr = VecSet(pcis->vec1_N,0.);CHKERRQ(ierr); 2099 ierr = VecScatterBegin(pcis->N_to_D,pcis->vec2_D,pcis->vec1_N,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 2100 ierr = VecScatterEnd(pcis->N_to_D,pcis->vec2_D,pcis->vec1_N,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 2101 if (!pcbddc->switch_static_change) { 2102 ierr = MatMultTranspose(lA,pcis->vec1_N,pcis->vec2_N);CHKERRQ(ierr); 2103 } else { 2104 ierr = MatMult(pcbddc->switch_static_change,pcis->vec1_N,pcis->vec2_N);CHKERRQ(ierr); 2105 ierr = MatMultTranspose(lA,pcis->vec2_N,pcis->vec1_N);CHKERRQ(ierr); 2106 ierr = MatMultTranspose(pcbddc->switch_static_change,pcis->vec1_N,pcis->vec2_N);CHKERRQ(ierr); 2107 } 2108 ierr = VecScatterBegin(pcis->N_to_D,pcis->vec2_N,pcis->vec1_D,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 2109 ierr = VecScatterEnd(pcis->N_to_D,pcis->vec2_N,pcis->vec1_D,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 2110 ierr = VecScatterBegin(pcis->N_to_B,pcis->vec2_N,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 2111 ierr = VecScatterEnd(pcis->N_to_B,pcis->vec2_N,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 2112 } else { 2113 ierr = MatMultTranspose(pcis->A_IB,pcis->vec2_D,pcis->vec1_B);CHKERRQ(ierr); 2114 } 2115 } else { 2116 ierr = VecSet(pcis->vec1_B,zero);CHKERRQ(ierr); 2117 } 2118 ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 2119 ierr = VecScatterEnd(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 2120 ierr = PCBDDCScalingRestriction(pc,z,pcis->vec1_B);CHKERRQ(ierr); 2121 } else { 2122 ierr = PCBDDCScalingRestriction(pc,r,pcis->vec1_B);CHKERRQ(ierr); 2123 } 2124 2125 /* Apply interface preconditioner 2126 input/output vecs: pcis->vec1_B and pcis->vec1_D */ 2127 ierr = PCBDDCApplyInterfacePreconditioner(pc,PETSC_TRUE);CHKERRQ(ierr); 2128 2129 /* Apply transpose of partition of unity operator */ 2130 ierr = PCBDDCScalingExtension(pc,pcis->vec1_B,z);CHKERRQ(ierr); 2131 2132 /* Second Dirichlet solve and assembling of output */ 2133 ierr = VecScatterBegin(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 2134 ierr = VecScatterEnd(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 2135 if (n_B) { 2136 if (pcbddc->switch_static) { 2137 ierr = VecScatterBegin(pcis->N_to_D,pcis->vec1_D,pcis->vec1_N,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 2138 ierr = VecScatterEnd(pcis->N_to_D,pcis->vec1_D,pcis->vec1_N,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 2139 ierr = VecScatterBegin(pcis->N_to_B,pcis->vec1_B,pcis->vec1_N,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 2140 ierr = VecScatterEnd(pcis->N_to_B,pcis->vec1_B,pcis->vec1_N,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 2141 if (!pcbddc->switch_static_change) { 2142 ierr = MatMultTranspose(lA,pcis->vec1_N,pcis->vec2_N);CHKERRQ(ierr); 2143 } else { 2144 ierr = MatMult(pcbddc->switch_static_change,pcis->vec1_N,pcis->vec2_N);CHKERRQ(ierr); 2145 ierr = MatMultTranspose(lA,pcis->vec2_N,pcis->vec1_N);CHKERRQ(ierr); 2146 ierr = MatMultTranspose(pcbddc->switch_static_change,pcis->vec1_N,pcis->vec2_N);CHKERRQ(ierr); 2147 } 2148 ierr = VecScatterBegin(pcis->N_to_D,pcis->vec2_N,pcis->vec3_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 2149 ierr = VecScatterEnd(pcis->N_to_D,pcis->vec2_N,pcis->vec3_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 2150 } else { 2151 ierr = MatMultTranspose(pcis->A_BI,pcis->vec1_B,pcis->vec3_D);CHKERRQ(ierr); 2152 } 2153 } else if (pcbddc->switch_static) { /* n_B is zero */ 2154 if (!pcbddc->switch_static_change) { 2155 ierr = MatMultTranspose(lA,pcis->vec1_D,pcis->vec3_D);CHKERRQ(ierr); 2156 } else { 2157 ierr = MatMult(pcbddc->switch_static_change,pcis->vec1_D,pcis->vec1_N);CHKERRQ(ierr); 2158 ierr = MatMultTranspose(lA,pcis->vec1_N,pcis->vec2_N);CHKERRQ(ierr); 2159 ierr = MatMultTranspose(pcbddc->switch_static_change,pcis->vec2_N,pcis->vec3_D);CHKERRQ(ierr); 2160 } 2161 } 2162 ierr = KSPSolveTranspose(pcbddc->ksp_D,pcis->vec3_D,pcis->vec4_D);CHKERRQ(ierr); 2163 ierr = KSPCheckSolve(pcbddc->ksp_D,pc,pcis->vec4_D);CHKERRQ(ierr); 2164 if (!pcbddc->exact_dirichlet_trick_app && !pcbddc->benign_apply_coarse_only) { 2165 if (pcbddc->switch_static) { 2166 ierr = VecAXPBYPCZ(pcis->vec2_D,m_one,one,m_one,pcis->vec4_D,pcis->vec1_D);CHKERRQ(ierr); 2167 } else { 2168 ierr = VecAXPBY(pcis->vec2_D,m_one,m_one,pcis->vec4_D);CHKERRQ(ierr); 2169 } 2170 ierr = VecScatterBegin(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 2171 ierr = VecScatterEnd(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 2172 } else { 2173 if (pcbddc->switch_static) { 2174 ierr = VecAXPBY(pcis->vec4_D,one,m_one,pcis->vec1_D);CHKERRQ(ierr); 2175 } else { 2176 ierr = VecScale(pcis->vec4_D,m_one);CHKERRQ(ierr); 2177 } 2178 ierr = VecScatterBegin(pcis->global_to_D,pcis->vec4_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 2179 ierr = VecScatterEnd(pcis->global_to_D,pcis->vec4_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 2180 } 2181 if (pcbddc->benign_have_null) { /* set p0 (computed in PCBDDCApplyInterface) */ 2182 ierr = PCBDDCBenignGetOrSetP0(pc,z,PETSC_FALSE);CHKERRQ(ierr); 2183 } 2184 if (pcbddc->ChangeOfBasisMatrix) { 2185 pcbddc->work_change = r; 2186 ierr = VecCopy(z,pcbddc->work_change);CHKERRQ(ierr); 2187 ierr = MatMult(pcbddc->ChangeOfBasisMatrix,pcbddc->work_change,z);CHKERRQ(ierr); 2188 } 2189 PetscFunctionReturn(0); 2190 } 2191 2192 PetscErrorCode PCReset_BDDC(PC pc) 2193 { 2194 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 2195 PC_IS *pcis = (PC_IS*)pc->data; 2196 KSP kspD,kspR,kspC; 2197 PetscErrorCode ierr; 2198 2199 PetscFunctionBegin; 2200 /* free BDDC custom data */ 2201 ierr = PCBDDCResetCustomization(pc);CHKERRQ(ierr); 2202 /* destroy objects related to topography */ 2203 ierr = PCBDDCResetTopography(pc);CHKERRQ(ierr); 2204 /* destroy objects for scaling operator */ 2205 ierr = PCBDDCScalingDestroy(pc);CHKERRQ(ierr); 2206 /* free solvers stuff */ 2207 ierr = PCBDDCResetSolvers(pc);CHKERRQ(ierr); 2208 /* free global vectors needed in presolve */ 2209 ierr = VecDestroy(&pcbddc->temp_solution);CHKERRQ(ierr); 2210 ierr = VecDestroy(&pcbddc->original_rhs);CHKERRQ(ierr); 2211 /* free data created by PCIS */ 2212 ierr = PCISDestroy(pc);CHKERRQ(ierr); 2213 2214 /* restore defaults */ 2215 kspD = pcbddc->ksp_D; 2216 kspR = pcbddc->ksp_R; 2217 kspC = pcbddc->coarse_ksp; 2218 ierr = PetscMemzero(pc->data,sizeof(*pcbddc));CHKERRQ(ierr); 2219 pcis->n_neigh = -1; 2220 pcis->scaling_factor = 1.0; 2221 pcis->reusesubmatrices = PETSC_TRUE; 2222 pcbddc->use_local_adj = PETSC_TRUE; 2223 pcbddc->use_vertices = PETSC_TRUE; 2224 pcbddc->use_edges = PETSC_TRUE; 2225 pcbddc->symmetric_primal = PETSC_TRUE; 2226 pcbddc->vertex_size = 1; 2227 pcbddc->recompute_topography = PETSC_TRUE; 2228 pcbddc->coarse_size = -1; 2229 pcbddc->use_exact_dirichlet_trick = PETSC_TRUE; 2230 pcbddc->coarsening_ratio = 8; 2231 pcbddc->coarse_eqs_per_proc = 1; 2232 pcbddc->benign_compute_correction = PETSC_TRUE; 2233 pcbddc->nedfield = -1; 2234 pcbddc->nedglobal = PETSC_TRUE; 2235 pcbddc->graphmaxcount = PETSC_MAX_INT; 2236 pcbddc->sub_schurs_layers = -1; 2237 pcbddc->ksp_D = kspD; 2238 pcbddc->ksp_R = kspR; 2239 pcbddc->coarse_ksp = kspC; 2240 PetscFunctionReturn(0); 2241 } 2242 2243 PetscErrorCode PCDestroy_BDDC(PC pc) 2244 { 2245 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 2246 PetscErrorCode ierr; 2247 2248 PetscFunctionBegin; 2249 ierr = PCReset_BDDC(pc);CHKERRQ(ierr); 2250 ierr = KSPDestroy(&pcbddc->ksp_D);CHKERRQ(ierr); 2251 ierr = KSPDestroy(&pcbddc->ksp_R);CHKERRQ(ierr); 2252 ierr = KSPDestroy(&pcbddc->coarse_ksp);CHKERRQ(ierr); 2253 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDiscreteGradient_C",NULL);CHKERRQ(ierr); 2254 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDivergenceMat_C",NULL);CHKERRQ(ierr); 2255 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetChangeOfBasisMat_C",NULL);CHKERRQ(ierr); 2256 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetPrimalVerticesLocalIS_C",NULL);CHKERRQ(ierr); 2257 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetPrimalVerticesIS_C",NULL);CHKERRQ(ierr); 2258 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetCoarseningRatio_C",NULL);CHKERRQ(ierr); 2259 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevel_C",NULL);CHKERRQ(ierr); 2260 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetUseExactDirichlet_C",NULL);CHKERRQ(ierr); 2261 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevels_C",NULL);CHKERRQ(ierr); 2262 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundaries_C",NULL);CHKERRQ(ierr); 2263 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundariesLocal_C",NULL);CHKERRQ(ierr); 2264 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundaries_C",NULL);CHKERRQ(ierr); 2265 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundariesLocal_C",NULL);CHKERRQ(ierr); 2266 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundaries_C",NULL);CHKERRQ(ierr); 2267 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundariesLocal_C",NULL);CHKERRQ(ierr); 2268 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundaries_C",NULL);CHKERRQ(ierr); 2269 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundariesLocal_C",NULL);CHKERRQ(ierr); 2270 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplitting_C",NULL);CHKERRQ(ierr); 2271 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplittingLocal_C",NULL);CHKERRQ(ierr); 2272 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLocalAdjacencyGraph_C",NULL);CHKERRQ(ierr); 2273 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCCreateFETIDPOperators_C",NULL);CHKERRQ(ierr); 2274 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetRHS_C",NULL);CHKERRQ(ierr); 2275 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetSolution_C",NULL);CHKERRQ(ierr); 2276 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCPreSolveChangeRHS_C",NULL);CHKERRQ(ierr); 2277 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCSetCoordinates_C",NULL);CHKERRQ(ierr); 2278 ierr = PetscFree(pc->data);CHKERRQ(ierr); 2279 PetscFunctionReturn(0); 2280 } 2281 2282 static PetscErrorCode PCSetCoordinates_BDDC(PC pc, PetscInt dim, PetscInt nloc, PetscReal *coords) 2283 { 2284 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 2285 PCBDDCGraph mat_graph = pcbddc->mat_graph; 2286 PetscErrorCode ierr; 2287 2288 PetscFunctionBegin; 2289 ierr = PetscFree(mat_graph->coords);CHKERRQ(ierr); 2290 ierr = PetscMalloc1(nloc*dim,&mat_graph->coords);CHKERRQ(ierr); 2291 ierr = PetscMemcpy(mat_graph->coords,coords,nloc*dim*sizeof(PetscReal));CHKERRQ(ierr); 2292 mat_graph->cnloc = nloc; 2293 mat_graph->cdim = dim; 2294 mat_graph->cloc = PETSC_FALSE; 2295 /* flg setup */ 2296 pcbddc->recompute_topography = PETSC_TRUE; 2297 pcbddc->corner_selected = PETSC_FALSE; 2298 PetscFunctionReturn(0); 2299 } 2300 2301 static PetscErrorCode PCPreSolveChangeRHS_BDDC(PC pc, PetscBool* change) 2302 { 2303 PetscFunctionBegin; 2304 *change = PETSC_TRUE; 2305 PetscFunctionReturn(0); 2306 } 2307 2308 static PetscErrorCode PCBDDCMatFETIDPGetRHS_BDDC(Mat fetidp_mat, Vec standard_rhs, Vec fetidp_flux_rhs) 2309 { 2310 FETIDPMat_ctx mat_ctx; 2311 Vec work; 2312 PC_IS* pcis; 2313 PC_BDDC* pcbddc; 2314 PetscErrorCode ierr; 2315 2316 PetscFunctionBegin; 2317 ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr); 2318 pcis = (PC_IS*)mat_ctx->pc->data; 2319 pcbddc = (PC_BDDC*)mat_ctx->pc->data; 2320 2321 ierr = VecSet(fetidp_flux_rhs,0.0);CHKERRQ(ierr); 2322 /* copy rhs since we may change it during PCPreSolve_BDDC */ 2323 if (!pcbddc->original_rhs) { 2324 ierr = VecDuplicate(pcis->vec1_global,&pcbddc->original_rhs);CHKERRQ(ierr); 2325 } 2326 if (mat_ctx->rhs_flip) { 2327 ierr = VecPointwiseMult(pcbddc->original_rhs,standard_rhs,mat_ctx->rhs_flip);CHKERRQ(ierr); 2328 } else { 2329 ierr = VecCopy(standard_rhs,pcbddc->original_rhs);CHKERRQ(ierr); 2330 } 2331 if (mat_ctx->g2g_p) { 2332 /* interface pressure rhs */ 2333 ierr = VecScatterBegin(mat_ctx->g2g_p,fetidp_flux_rhs,pcbddc->original_rhs,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 2334 ierr = VecScatterEnd(mat_ctx->g2g_p,fetidp_flux_rhs,pcbddc->original_rhs,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 2335 ierr = VecScatterBegin(mat_ctx->g2g_p,standard_rhs,fetidp_flux_rhs,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 2336 ierr = VecScatterEnd(mat_ctx->g2g_p,standard_rhs,fetidp_flux_rhs,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 2337 if (!mat_ctx->rhs_flip) { 2338 ierr = VecScale(fetidp_flux_rhs,-1.);CHKERRQ(ierr); 2339 } 2340 } 2341 /* 2342 change of basis for physical rhs if needed 2343 It also changes the rhs in case of dirichlet boundaries 2344 */ 2345 ierr = PCPreSolve_BDDC(mat_ctx->pc,NULL,pcbddc->original_rhs,NULL);CHKERRQ(ierr); 2346 if (pcbddc->ChangeOfBasisMatrix) { 2347 ierr = MatMultTranspose(pcbddc->ChangeOfBasisMatrix,pcbddc->original_rhs,pcbddc->work_change);CHKERRQ(ierr); 2348 work = pcbddc->work_change; 2349 } else { 2350 work = pcbddc->original_rhs; 2351 } 2352 /* store vectors for computation of fetidp final solution */ 2353 ierr = VecScatterBegin(pcis->global_to_D,work,mat_ctx->temp_solution_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 2354 ierr = VecScatterEnd(pcis->global_to_D,work,mat_ctx->temp_solution_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 2355 /* scale rhs since it should be unassembled */ 2356 /* TODO use counter scaling? (also below) */ 2357 ierr = VecScatterBegin(pcis->global_to_B,work,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 2358 ierr = VecScatterEnd(pcis->global_to_B,work,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 2359 /* Apply partition of unity */ 2360 ierr = VecPointwiseMult(mat_ctx->temp_solution_B,pcis->D,mat_ctx->temp_solution_B);CHKERRQ(ierr); 2361 /* ierr = PCBDDCScalingRestriction(mat_ctx->pc,work,mat_ctx->temp_solution_B);CHKERRQ(ierr); */ 2362 if (!pcbddc->switch_static) { 2363 /* compute partially subassembled Schur complement right-hand side */ 2364 ierr = KSPSolve(pcbddc->ksp_D,mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr); 2365 /* Cannot propagate up error in KSPSolve() because there is no access to the PC */ 2366 ierr = MatMult(pcis->A_BI,pcis->vec1_D,pcis->vec1_B);CHKERRQ(ierr); 2367 ierr = VecAXPY(mat_ctx->temp_solution_B,-1.0,pcis->vec1_B);CHKERRQ(ierr); 2368 ierr = VecSet(work,0.0);CHKERRQ(ierr); 2369 ierr = VecScatterBegin(pcis->global_to_B,mat_ctx->temp_solution_B,work,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 2370 ierr = VecScatterEnd(pcis->global_to_B,mat_ctx->temp_solution_B,work,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 2371 /* ierr = PCBDDCScalingRestriction(mat_ctx->pc,work,mat_ctx->temp_solution_B);CHKERRQ(ierr); */ 2372 ierr = VecScatterBegin(pcis->global_to_B,work,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 2373 ierr = VecScatterEnd(pcis->global_to_B,work,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 2374 ierr = VecPointwiseMult(mat_ctx->temp_solution_B,pcis->D,mat_ctx->temp_solution_B);CHKERRQ(ierr); 2375 } 2376 /* BDDC rhs */ 2377 ierr = VecCopy(mat_ctx->temp_solution_B,pcis->vec1_B);CHKERRQ(ierr); 2378 if (pcbddc->switch_static) { 2379 ierr = VecCopy(mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr); 2380 } 2381 /* apply BDDC */ 2382 ierr = PetscMemzero(pcbddc->benign_p0,pcbddc->benign_n*sizeof(PetscScalar));CHKERRQ(ierr); 2383 ierr = PCBDDCApplyInterfacePreconditioner(mat_ctx->pc,PETSC_FALSE);CHKERRQ(ierr); 2384 ierr = PetscMemzero(pcbddc->benign_p0,pcbddc->benign_n*sizeof(PetscScalar));CHKERRQ(ierr); 2385 2386 /* Application of B_delta and assembling of rhs for fetidp fluxes */ 2387 ierr = MatMult(mat_ctx->B_delta,pcis->vec1_B,mat_ctx->lambda_local);CHKERRQ(ierr); 2388 ierr = VecScatterBegin(mat_ctx->l2g_lambda,mat_ctx->lambda_local,fetidp_flux_rhs,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 2389 ierr = VecScatterEnd(mat_ctx->l2g_lambda,mat_ctx->lambda_local,fetidp_flux_rhs,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 2390 /* Add contribution to interface pressures */ 2391 if (mat_ctx->l2g_p) { 2392 ierr = MatMult(mat_ctx->B_BB,pcis->vec1_B,mat_ctx->vP);CHKERRQ(ierr); 2393 if (pcbddc->switch_static) { 2394 ierr = MatMultAdd(mat_ctx->B_BI,pcis->vec1_D,mat_ctx->vP,mat_ctx->vP);CHKERRQ(ierr); 2395 } 2396 ierr = VecScatterBegin(mat_ctx->l2g_p,mat_ctx->vP,fetidp_flux_rhs,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 2397 ierr = VecScatterEnd(mat_ctx->l2g_p,mat_ctx->vP,fetidp_flux_rhs,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 2398 } 2399 PetscFunctionReturn(0); 2400 } 2401 2402 /*@ 2403 PCBDDCMatFETIDPGetRHS - Compute the right-hand side for FETI-DP linear system using the physical right-hand side 2404 2405 Collective 2406 2407 Input Parameters: 2408 + fetidp_mat - the FETI-DP matrix object obtained by a call to PCBDDCCreateFETIDPOperators 2409 - standard_rhs - the right-hand side of the original linear system 2410 2411 Output Parameters: 2412 . fetidp_flux_rhs - the right-hand side for the FETI-DP linear system 2413 2414 Level: developer 2415 2416 Notes: 2417 2418 .seealso: PCBDDC, PCBDDCCreateFETIDPOperators, PCBDDCMatFETIDPGetSolution 2419 @*/ 2420 PetscErrorCode PCBDDCMatFETIDPGetRHS(Mat fetidp_mat, Vec standard_rhs, Vec fetidp_flux_rhs) 2421 { 2422 FETIDPMat_ctx mat_ctx; 2423 PetscErrorCode ierr; 2424 2425 PetscFunctionBegin; 2426 PetscValidHeaderSpecific(fetidp_mat,MAT_CLASSID,1); 2427 PetscValidHeaderSpecific(standard_rhs,VEC_CLASSID,2); 2428 PetscValidHeaderSpecific(fetidp_flux_rhs,VEC_CLASSID,3); 2429 ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr); 2430 ierr = PetscUseMethod(mat_ctx->pc,"PCBDDCMatFETIDPGetRHS_C",(Mat,Vec,Vec),(fetidp_mat,standard_rhs,fetidp_flux_rhs));CHKERRQ(ierr); 2431 PetscFunctionReturn(0); 2432 } 2433 2434 static PetscErrorCode PCBDDCMatFETIDPGetSolution_BDDC(Mat fetidp_mat, Vec fetidp_flux_sol, Vec standard_sol) 2435 { 2436 FETIDPMat_ctx mat_ctx; 2437 PC_IS* pcis; 2438 PC_BDDC* pcbddc; 2439 PetscErrorCode ierr; 2440 Vec work; 2441 2442 PetscFunctionBegin; 2443 ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr); 2444 pcis = (PC_IS*)mat_ctx->pc->data; 2445 pcbddc = (PC_BDDC*)mat_ctx->pc->data; 2446 2447 /* apply B_delta^T */ 2448 ierr = VecSet(pcis->vec1_B,0.);CHKERRQ(ierr); 2449 ierr = VecScatterBegin(mat_ctx->l2g_lambda,fetidp_flux_sol,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 2450 ierr = VecScatterEnd(mat_ctx->l2g_lambda,fetidp_flux_sol,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 2451 ierr = MatMultTranspose(mat_ctx->B_delta,mat_ctx->lambda_local,pcis->vec1_B);CHKERRQ(ierr); 2452 if (mat_ctx->l2g_p) { 2453 ierr = VecScatterBegin(mat_ctx->l2g_p,fetidp_flux_sol,mat_ctx->vP,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 2454 ierr = VecScatterEnd(mat_ctx->l2g_p,fetidp_flux_sol,mat_ctx->vP,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 2455 ierr = MatMultAdd(mat_ctx->Bt_BB,mat_ctx->vP,pcis->vec1_B,pcis->vec1_B);CHKERRQ(ierr); 2456 } 2457 2458 /* compute rhs for BDDC application */ 2459 ierr = VecAYPX(pcis->vec1_B,-1.0,mat_ctx->temp_solution_B);CHKERRQ(ierr); 2460 if (pcbddc->switch_static) { 2461 ierr = VecCopy(mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr); 2462 if (mat_ctx->l2g_p) { 2463 ierr = VecScale(mat_ctx->vP,-1.);CHKERRQ(ierr); 2464 ierr = MatMultAdd(mat_ctx->Bt_BI,mat_ctx->vP,pcis->vec1_D,pcis->vec1_D);CHKERRQ(ierr); 2465 } 2466 } 2467 2468 /* apply BDDC */ 2469 ierr = PetscMemzero(pcbddc->benign_p0,pcbddc->benign_n*sizeof(PetscScalar));CHKERRQ(ierr); 2470 ierr = PCBDDCApplyInterfacePreconditioner(mat_ctx->pc,PETSC_FALSE);CHKERRQ(ierr); 2471 2472 /* put values into global vector */ 2473 if (pcbddc->ChangeOfBasisMatrix) work = pcbddc->work_change; 2474 else work = standard_sol; 2475 ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_B,work,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 2476 ierr = VecScatterEnd(pcis->global_to_B,pcis->vec1_B,work,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 2477 if (!pcbddc->switch_static) { 2478 /* compute values into the interior if solved for the partially subassembled Schur complement */ 2479 ierr = MatMult(pcis->A_IB,pcis->vec1_B,pcis->vec1_D);CHKERRQ(ierr); 2480 ierr = VecAYPX(pcis->vec1_D,-1.0,mat_ctx->temp_solution_D);CHKERRQ(ierr); 2481 ierr = KSPSolve(pcbddc->ksp_D,pcis->vec1_D,pcis->vec1_D);CHKERRQ(ierr); 2482 /* Cannot propagate up error in KSPSolve() because there is no access to the PC */ 2483 } 2484 2485 ierr = VecScatterBegin(pcis->global_to_D,pcis->vec1_D,work,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 2486 ierr = VecScatterEnd(pcis->global_to_D,pcis->vec1_D,work,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 2487 /* add p0 solution to final solution */ 2488 ierr = PCBDDCBenignGetOrSetP0(mat_ctx->pc,work,PETSC_FALSE);CHKERRQ(ierr); 2489 if (pcbddc->ChangeOfBasisMatrix) { 2490 ierr = MatMult(pcbddc->ChangeOfBasisMatrix,work,standard_sol);CHKERRQ(ierr); 2491 } 2492 ierr = PCPostSolve_BDDC(mat_ctx->pc,NULL,NULL,standard_sol);CHKERRQ(ierr); 2493 if (mat_ctx->g2g_p) { 2494 ierr = VecScatterBegin(mat_ctx->g2g_p,fetidp_flux_sol,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 2495 ierr = VecScatterEnd(mat_ctx->g2g_p,fetidp_flux_sol,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 2496 } 2497 PetscFunctionReturn(0); 2498 } 2499 2500 static PetscErrorCode PCView_BDDCIPC(PC pc, PetscViewer viewer) 2501 { 2502 PetscErrorCode ierr; 2503 BDDCIPC_ctx bddcipc_ctx; 2504 PetscBool isascii; 2505 2506 PetscFunctionBegin; 2507 ierr = PCShellGetContext(pc,(void **)&bddcipc_ctx);CHKERRQ(ierr); 2508 ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&isascii);CHKERRQ(ierr); 2509 if (isascii) { 2510 ierr = PetscViewerASCIIPrintf(viewer,"BDDC interface preconditioner\n");CHKERRQ(ierr); 2511 } 2512 ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr); 2513 ierr = PCView(bddcipc_ctx->bddc,viewer);CHKERRQ(ierr); 2514 ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr); 2515 PetscFunctionReturn(0); 2516 } 2517 2518 static PetscErrorCode PCSetUp_BDDCIPC(PC pc) 2519 { 2520 PetscErrorCode ierr; 2521 BDDCIPC_ctx bddcipc_ctx; 2522 PetscBool isbddc; 2523 Vec vv; 2524 IS is; 2525 PC_IS *pcis; 2526 2527 PetscFunctionBegin; 2528 ierr = PCShellGetContext(pc,(void **)&bddcipc_ctx);CHKERRQ(ierr); 2529 ierr = PetscObjectTypeCompare((PetscObject)bddcipc_ctx->bddc,PCBDDC,&isbddc);CHKERRQ(ierr); 2530 if (!isbddc) SETERRQ1(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Invalid type %s. Must be of type bddc",((PetscObject)bddcipc_ctx->bddc)->type_name); 2531 ierr = PCSetUp(bddcipc_ctx->bddc);CHKERRQ(ierr); 2532 2533 /* create interface scatter */ 2534 pcis = (PC_IS*)(bddcipc_ctx->bddc->data); 2535 ierr = VecScatterDestroy(&bddcipc_ctx->g2l);CHKERRQ(ierr); 2536 ierr = MatCreateVecs(pc->pmat,&vv,NULL);CHKERRQ(ierr); 2537 ierr = ISRenumber(pcis->is_B_global,NULL,NULL,&is);CHKERRQ(ierr); 2538 ierr = VecScatterCreate(vv,is,pcis->vec1_B,NULL,&bddcipc_ctx->g2l);CHKERRQ(ierr); 2539 ierr = ISDestroy(&is);CHKERRQ(ierr); 2540 ierr = VecDestroy(&vv);CHKERRQ(ierr); 2541 PetscFunctionReturn(0); 2542 } 2543 2544 static PetscErrorCode PCApply_BDDCIPC(PC pc, Vec r, Vec x) 2545 { 2546 PetscErrorCode ierr; 2547 BDDCIPC_ctx bddcipc_ctx; 2548 PC_IS *pcis; 2549 VecScatter tmps; 2550 2551 PetscFunctionBegin; 2552 ierr = PCShellGetContext(pc,(void **)&bddcipc_ctx);CHKERRQ(ierr); 2553 pcis = (PC_IS*)(bddcipc_ctx->bddc->data); 2554 tmps = pcis->global_to_B; 2555 pcis->global_to_B = bddcipc_ctx->g2l; 2556 ierr = PCBDDCScalingRestriction(bddcipc_ctx->bddc,r,pcis->vec1_B);CHKERRQ(ierr); 2557 ierr = PCBDDCApplyInterfacePreconditioner(bddcipc_ctx->bddc,PETSC_FALSE);CHKERRQ(ierr); 2558 ierr = PCBDDCScalingExtension(bddcipc_ctx->bddc,pcis->vec1_B,x);CHKERRQ(ierr); 2559 pcis->global_to_B = tmps; 2560 PetscFunctionReturn(0); 2561 } 2562 2563 static PetscErrorCode PCApplyTranspose_BDDCIPC(PC pc, Vec r, Vec x) 2564 { 2565 PetscErrorCode ierr; 2566 BDDCIPC_ctx bddcipc_ctx; 2567 PC_IS *pcis; 2568 VecScatter tmps; 2569 2570 PetscFunctionBegin; 2571 ierr = PCShellGetContext(pc,(void **)&bddcipc_ctx);CHKERRQ(ierr); 2572 pcis = (PC_IS*)(bddcipc_ctx->bddc->data); 2573 tmps = pcis->global_to_B; 2574 pcis->global_to_B = bddcipc_ctx->g2l; 2575 ierr = PCBDDCScalingRestriction(bddcipc_ctx->bddc,r,pcis->vec1_B);CHKERRQ(ierr); 2576 ierr = PCBDDCApplyInterfacePreconditioner(bddcipc_ctx->bddc,PETSC_TRUE);CHKERRQ(ierr); 2577 ierr = PCBDDCScalingExtension(bddcipc_ctx->bddc,pcis->vec1_B,x);CHKERRQ(ierr); 2578 pcis->global_to_B = tmps; 2579 PetscFunctionReturn(0); 2580 } 2581 2582 static PetscErrorCode PCDestroy_BDDCIPC(PC pc) 2583 { 2584 PetscErrorCode ierr; 2585 BDDCIPC_ctx bddcipc_ctx; 2586 2587 PetscFunctionBegin; 2588 ierr = PCShellGetContext(pc,(void **)&bddcipc_ctx);CHKERRQ(ierr); 2589 ierr = PCDestroy(&bddcipc_ctx->bddc);CHKERRQ(ierr); 2590 ierr = VecScatterDestroy(&bddcipc_ctx->g2l);CHKERRQ(ierr); 2591 ierr = PetscFree(bddcipc_ctx);CHKERRQ(ierr); 2592 PetscFunctionReturn(0); 2593 } 2594 2595 /*@ 2596 PCBDDCMatFETIDPGetSolution - Compute the physical solution using the solution of the FETI-DP linear system 2597 2598 Collective 2599 2600 Input Parameters: 2601 + fetidp_mat - the FETI-DP matrix obtained by a call to PCBDDCCreateFETIDPOperators 2602 - fetidp_flux_sol - the solution of the FETI-DP linear system 2603 2604 Output Parameters: 2605 . standard_sol - the solution defined on the physical domain 2606 2607 Level: developer 2608 2609 Notes: 2610 2611 .seealso: PCBDDC, PCBDDCCreateFETIDPOperators, PCBDDCMatFETIDPGetRHS 2612 @*/ 2613 PetscErrorCode PCBDDCMatFETIDPGetSolution(Mat fetidp_mat, Vec fetidp_flux_sol, Vec standard_sol) 2614 { 2615 FETIDPMat_ctx mat_ctx; 2616 PetscErrorCode ierr; 2617 2618 PetscFunctionBegin; 2619 PetscValidHeaderSpecific(fetidp_mat,MAT_CLASSID,1); 2620 PetscValidHeaderSpecific(fetidp_flux_sol,VEC_CLASSID,2); 2621 PetscValidHeaderSpecific(standard_sol,VEC_CLASSID,3); 2622 ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr); 2623 ierr = PetscUseMethod(mat_ctx->pc,"PCBDDCMatFETIDPGetSolution_C",(Mat,Vec,Vec),(fetidp_mat,fetidp_flux_sol,standard_sol));CHKERRQ(ierr); 2624 PetscFunctionReturn(0); 2625 } 2626 2627 static PetscErrorCode PCBDDCCreateFETIDPOperators_BDDC(PC pc, PetscBool fully_redundant, const char* prefix, Mat *fetidp_mat, PC *fetidp_pc) 2628 { 2629 2630 FETIDPMat_ctx fetidpmat_ctx; 2631 Mat newmat; 2632 FETIDPPC_ctx fetidppc_ctx; 2633 PC newpc; 2634 MPI_Comm comm; 2635 PetscErrorCode ierr; 2636 2637 PetscFunctionBegin; 2638 ierr = PetscObjectGetComm((PetscObject)pc,&comm);CHKERRQ(ierr); 2639 /* FETI-DP matrix */ 2640 ierr = PCBDDCCreateFETIDPMatContext(pc,&fetidpmat_ctx);CHKERRQ(ierr); 2641 fetidpmat_ctx->fully_redundant = fully_redundant; 2642 ierr = PCBDDCSetupFETIDPMatContext(fetidpmat_ctx);CHKERRQ(ierr); 2643 ierr = MatCreateShell(comm,fetidpmat_ctx->n,fetidpmat_ctx->n,fetidpmat_ctx->N,fetidpmat_ctx->N,fetidpmat_ctx,&newmat);CHKERRQ(ierr); 2644 ierr = PetscObjectSetName((PetscObject)newmat,!fetidpmat_ctx->l2g_lambda_only ? "F" : "G");CHKERRQ(ierr); 2645 ierr = MatShellSetOperation(newmat,MATOP_MULT,(void (*)(void))FETIDPMatMult);CHKERRQ(ierr); 2646 ierr = MatShellSetOperation(newmat,MATOP_MULT_TRANSPOSE,(void (*)(void))FETIDPMatMultTranspose);CHKERRQ(ierr); 2647 ierr = MatShellSetOperation(newmat,MATOP_DESTROY,(void (*)(void))PCBDDCDestroyFETIDPMat);CHKERRQ(ierr); 2648 /* propagate MatOptions */ 2649 { 2650 PC_BDDC *pcbddc = (PC_BDDC*)fetidpmat_ctx->pc->data; 2651 PetscBool issym; 2652 2653 ierr = MatGetOption(pc->mat,MAT_SYMMETRIC,&issym);CHKERRQ(ierr); 2654 if (issym || pcbddc->symmetric_primal) { 2655 ierr = MatSetOption(newmat,MAT_SYMMETRIC,PETSC_TRUE);CHKERRQ(ierr); 2656 } 2657 } 2658 ierr = MatSetOptionsPrefix(newmat,prefix);CHKERRQ(ierr); 2659 ierr = MatAppendOptionsPrefix(newmat,"fetidp_");CHKERRQ(ierr); 2660 ierr = MatSetUp(newmat);CHKERRQ(ierr); 2661 /* FETI-DP preconditioner */ 2662 ierr = PCBDDCCreateFETIDPPCContext(pc,&fetidppc_ctx);CHKERRQ(ierr); 2663 ierr = PCBDDCSetupFETIDPPCContext(newmat,fetidppc_ctx);CHKERRQ(ierr); 2664 ierr = PCCreate(comm,&newpc);CHKERRQ(ierr); 2665 ierr = PCSetOperators(newpc,newmat,newmat);CHKERRQ(ierr); 2666 ierr = PCSetOptionsPrefix(newpc,prefix);CHKERRQ(ierr); 2667 ierr = PCAppendOptionsPrefix(newpc,"fetidp_");CHKERRQ(ierr); 2668 ierr = PCSetErrorIfFailure(newpc,pc->erroriffailure);CHKERRQ(ierr); 2669 if (!fetidpmat_ctx->l2g_lambda_only) { /* standard FETI-DP */ 2670 ierr = PCSetType(newpc,PCSHELL);CHKERRQ(ierr); 2671 ierr = PCShellSetName(newpc,"FETI-DP multipliers");CHKERRQ(ierr); 2672 ierr = PCShellSetContext(newpc,fetidppc_ctx);CHKERRQ(ierr); 2673 ierr = PCShellSetApply(newpc,FETIDPPCApply);CHKERRQ(ierr); 2674 ierr = PCShellSetApplyTranspose(newpc,FETIDPPCApplyTranspose);CHKERRQ(ierr); 2675 ierr = PCShellSetView(newpc,FETIDPPCView);CHKERRQ(ierr); 2676 ierr = PCShellSetDestroy(newpc,PCBDDCDestroyFETIDPPC);CHKERRQ(ierr); 2677 } else { /* saddle-point FETI-DP */ 2678 Mat M; 2679 PetscInt psize; 2680 PetscBool fake = PETSC_FALSE, isfieldsplit; 2681 2682 ierr = ISViewFromOptions(fetidpmat_ctx->lagrange,NULL,"-lag_view");CHKERRQ(ierr); 2683 ierr = ISViewFromOptions(fetidpmat_ctx->pressure,NULL,"-press_view");CHKERRQ(ierr); 2684 ierr = PetscObjectQuery((PetscObject)pc,"__KSPFETIDP_PPmat",(PetscObject*)&M);CHKERRQ(ierr); 2685 ierr = PCSetType(newpc,PCFIELDSPLIT);CHKERRQ(ierr); 2686 ierr = PCFieldSplitSetIS(newpc,"lag",fetidpmat_ctx->lagrange);CHKERRQ(ierr); 2687 ierr = PCFieldSplitSetIS(newpc,"p",fetidpmat_ctx->pressure);CHKERRQ(ierr); 2688 ierr = PCFieldSplitSetType(newpc,PC_COMPOSITE_SCHUR);CHKERRQ(ierr); 2689 ierr = PCFieldSplitSetSchurFactType(newpc,PC_FIELDSPLIT_SCHUR_FACT_DIAG);CHKERRQ(ierr); 2690 ierr = ISGetSize(fetidpmat_ctx->pressure,&psize);CHKERRQ(ierr); 2691 if (psize != M->rmap->N) { 2692 Mat M2; 2693 PetscInt lpsize; 2694 2695 fake = PETSC_TRUE; 2696 ierr = ISGetLocalSize(fetidpmat_ctx->pressure,&lpsize);CHKERRQ(ierr); 2697 ierr = MatCreate(comm,&M2);CHKERRQ(ierr); 2698 ierr = MatSetType(M2,MATAIJ);CHKERRQ(ierr); 2699 ierr = MatSetSizes(M2,lpsize,lpsize,psize,psize);CHKERRQ(ierr); 2700 ierr = MatSetUp(M2);CHKERRQ(ierr); 2701 ierr = MatAssemblyBegin(M2,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 2702 ierr = MatAssemblyEnd(M2,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 2703 ierr = PCFieldSplitSetSchurPre(newpc,PC_FIELDSPLIT_SCHUR_PRE_USER,M2);CHKERRQ(ierr); 2704 ierr = MatDestroy(&M2);CHKERRQ(ierr); 2705 } else { 2706 ierr = PCFieldSplitSetSchurPre(newpc,PC_FIELDSPLIT_SCHUR_PRE_USER,M);CHKERRQ(ierr); 2707 } 2708 ierr = PCFieldSplitSetSchurScale(newpc,1.0);CHKERRQ(ierr); 2709 2710 /* we need to setfromoptions and setup here to access the blocks */ 2711 ierr = PCSetFromOptions(newpc);CHKERRQ(ierr); 2712 ierr = PCSetUp(newpc);CHKERRQ(ierr); 2713 2714 /* user may have changed the type (e.g. -fetidp_pc_type none) */ 2715 ierr = PetscObjectTypeCompare((PetscObject)newpc,PCFIELDSPLIT,&isfieldsplit);CHKERRQ(ierr); 2716 if (isfieldsplit) { 2717 KSP *ksps; 2718 PC ppc,lagpc; 2719 PetscInt nn; 2720 PetscBool ismatis,matisok = PETSC_FALSE,check = PETSC_FALSE; 2721 2722 /* set the solver for the (0,0) block */ 2723 ierr = PCFieldSplitSchurGetSubKSP(newpc,&nn,&ksps);CHKERRQ(ierr); 2724 if (!nn) { /* not of type PC_COMPOSITE_SCHUR */ 2725 ierr = PCFieldSplitGetSubKSP(newpc,&nn,&ksps);CHKERRQ(ierr); 2726 if (!fake) { /* pass pmat to the pressure solver */ 2727 Mat F; 2728 2729 ierr = KSPGetOperators(ksps[1],&F,NULL);CHKERRQ(ierr); 2730 ierr = KSPSetOperators(ksps[1],F,M);CHKERRQ(ierr); 2731 } 2732 } else { 2733 PetscBool issym; 2734 Mat S; 2735 2736 ierr = PCFieldSplitSchurGetS(newpc,&S);CHKERRQ(ierr); 2737 2738 ierr = MatGetOption(newmat,MAT_SYMMETRIC,&issym);CHKERRQ(ierr); 2739 if (issym) { 2740 ierr = MatSetOption(S,MAT_SYMMETRIC,PETSC_TRUE);CHKERRQ(ierr); 2741 } 2742 } 2743 ierr = KSPGetPC(ksps[0],&lagpc);CHKERRQ(ierr); 2744 ierr = PCSetType(lagpc,PCSHELL);CHKERRQ(ierr); 2745 ierr = PCShellSetName(lagpc,"FETI-DP multipliers");CHKERRQ(ierr); 2746 ierr = PCShellSetContext(lagpc,fetidppc_ctx);CHKERRQ(ierr); 2747 ierr = PCShellSetApply(lagpc,FETIDPPCApply);CHKERRQ(ierr); 2748 ierr = PCShellSetApplyTranspose(lagpc,FETIDPPCApplyTranspose);CHKERRQ(ierr); 2749 ierr = PCShellSetView(lagpc,FETIDPPCView);CHKERRQ(ierr); 2750 ierr = PCShellSetDestroy(lagpc,PCBDDCDestroyFETIDPPC);CHKERRQ(ierr); 2751 2752 /* Olof's idea: interface Schur complement preconditioner for the mass matrix */ 2753 ierr = KSPGetPC(ksps[1],&ppc);CHKERRQ(ierr); 2754 if (fake) { 2755 BDDCIPC_ctx bddcipc_ctx; 2756 PetscContainer c; 2757 2758 matisok = PETSC_TRUE; 2759 2760 /* create inner BDDC solver */ 2761 ierr = PetscNew(&bddcipc_ctx);CHKERRQ(ierr); 2762 ierr = PCCreate(comm,&bddcipc_ctx->bddc);CHKERRQ(ierr); 2763 ierr = PCSetType(bddcipc_ctx->bddc,PCBDDC);CHKERRQ(ierr); 2764 ierr = PCSetOperators(bddcipc_ctx->bddc,M,M);CHKERRQ(ierr); 2765 ierr = PetscObjectQuery((PetscObject)pc,"__KSPFETIDP_pCSR",(PetscObject*)&c);CHKERRQ(ierr); 2766 ierr = PetscObjectTypeCompare((PetscObject)M,MATIS,&ismatis);CHKERRQ(ierr); 2767 if (c && ismatis) { 2768 Mat lM; 2769 PetscInt *csr,n; 2770 2771 ierr = MatISGetLocalMat(M,&lM);CHKERRQ(ierr); 2772 ierr = MatGetSize(lM,&n,NULL);CHKERRQ(ierr); 2773 ierr = PetscContainerGetPointer(c,(void**)&csr);CHKERRQ(ierr); 2774 ierr = PCBDDCSetLocalAdjacencyGraph(bddcipc_ctx->bddc,n,csr,csr + (n + 1),PETSC_COPY_VALUES);CHKERRQ(ierr); 2775 ierr = MatISRestoreLocalMat(M,&lM);CHKERRQ(ierr); 2776 } 2777 ierr = PCSetOptionsPrefix(bddcipc_ctx->bddc,((PetscObject)ksps[1])->prefix);CHKERRQ(ierr); 2778 ierr = PCSetErrorIfFailure(bddcipc_ctx->bddc,pc->erroriffailure);CHKERRQ(ierr); 2779 ierr = PCSetFromOptions(bddcipc_ctx->bddc);CHKERRQ(ierr); 2780 2781 /* wrap the interface application */ 2782 ierr = PCSetType(ppc,PCSHELL);CHKERRQ(ierr); 2783 ierr = PCShellSetName(ppc,"FETI-DP pressure");CHKERRQ(ierr); 2784 ierr = PCShellSetContext(ppc,bddcipc_ctx);CHKERRQ(ierr); 2785 ierr = PCShellSetSetUp(ppc,PCSetUp_BDDCIPC);CHKERRQ(ierr); 2786 ierr = PCShellSetApply(ppc,PCApply_BDDCIPC);CHKERRQ(ierr); 2787 ierr = PCShellSetApplyTranspose(ppc,PCApplyTranspose_BDDCIPC);CHKERRQ(ierr); 2788 ierr = PCShellSetView(ppc,PCView_BDDCIPC);CHKERRQ(ierr); 2789 ierr = PCShellSetDestroy(ppc,PCDestroy_BDDCIPC);CHKERRQ(ierr); 2790 } 2791 2792 /* determine if we need to assemble M to construct a preconditioner */ 2793 if (!matisok) { 2794 ierr = PetscObjectTypeCompare((PetscObject)M,MATIS,&ismatis);CHKERRQ(ierr); 2795 ierr = PetscObjectTypeCompareAny((PetscObject)ppc,&matisok,PCBDDC,PCJACOBI,PCNONE,PCMG,"");CHKERRQ(ierr); 2796 if (ismatis && !matisok) { 2797 ierr = MatConvert(M,MATAIJ,MAT_INPLACE_MATRIX,&M);CHKERRQ(ierr); 2798 } 2799 } 2800 2801 /* run the subproblems to check convergence */ 2802 ierr = PetscOptionsGetBool(NULL,((PetscObject)newmat)->prefix,"-check_saddlepoint",&check,NULL);CHKERRQ(ierr); 2803 if (check) { 2804 PetscInt i; 2805 2806 for (i=0;i<nn;i++) { 2807 KSP kspC; 2808 PC pc; 2809 Mat F,pF; 2810 Vec x,y; 2811 PetscBool isschur,prec = PETSC_TRUE; 2812 2813 ierr = KSPCreate(PetscObjectComm((PetscObject)ksps[i]),&kspC);CHKERRQ(ierr); 2814 ierr = KSPSetOptionsPrefix(kspC,((PetscObject)ksps[i])->prefix);CHKERRQ(ierr); 2815 ierr = KSPAppendOptionsPrefix(kspC,"check_");CHKERRQ(ierr); 2816 ierr = KSPGetOperators(ksps[i],&F,&pF);CHKERRQ(ierr); 2817 ierr = PetscObjectTypeCompare((PetscObject)F,MATSCHURCOMPLEMENT,&isschur);CHKERRQ(ierr); 2818 if (isschur) { 2819 KSP kspS,kspS2; 2820 Mat A00,pA00,A10,A01,A11; 2821 char prefix[256]; 2822 2823 ierr = MatSchurComplementGetKSP(F,&kspS);CHKERRQ(ierr); 2824 ierr = MatSchurComplementGetSubMatrices(F,&A00,&pA00,&A01,&A10,&A11);CHKERRQ(ierr); 2825 ierr = MatCreateSchurComplement(A00,pA00,A01,A10,A11,&F);CHKERRQ(ierr); 2826 ierr = MatSchurComplementGetKSP(F,&kspS2);CHKERRQ(ierr); 2827 ierr = PetscSNPrintf(prefix,sizeof(prefix),"%sschur_",((PetscObject)kspC)->prefix);CHKERRQ(ierr); 2828 ierr = KSPSetOptionsPrefix(kspS2,prefix);CHKERRQ(ierr); 2829 ierr = KSPGetPC(kspS2,&pc);CHKERRQ(ierr); 2830 ierr = PCSetType(pc,PCKSP);CHKERRQ(ierr); 2831 ierr = PCKSPSetKSP(pc,kspS);CHKERRQ(ierr); 2832 ierr = KSPSetFromOptions(kspS2);CHKERRQ(ierr); 2833 ierr = KSPGetPC(kspS2,&pc);CHKERRQ(ierr); 2834 ierr = PCSetUseAmat(pc,PETSC_TRUE);CHKERRQ(ierr); 2835 } else { 2836 ierr = PetscObjectReference((PetscObject)F);CHKERRQ(ierr); 2837 } 2838 ierr = KSPSetFromOptions(kspC);CHKERRQ(ierr); 2839 ierr = PetscOptionsGetBool(NULL,((PetscObject)kspC)->prefix,"-preconditioned",&prec,NULL);CHKERRQ(ierr); 2840 if (prec) { 2841 ierr = KSPGetPC(ksps[i],&pc);CHKERRQ(ierr); 2842 ierr = KSPSetPC(kspC,pc);CHKERRQ(ierr); 2843 } 2844 ierr = KSPSetOperators(kspC,F,pF);CHKERRQ(ierr); 2845 ierr = MatCreateVecs(F,&x,&y);CHKERRQ(ierr); 2846 ierr = VecSetRandom(x,NULL);CHKERRQ(ierr); 2847 ierr = MatMult(F,x,y);CHKERRQ(ierr); 2848 ierr = KSPSolve(kspC,y,x);CHKERRQ(ierr); 2849 ierr = KSPCheckSolve(kspC,pc,x);CHKERRQ(ierr); 2850 ierr = KSPDestroy(&kspC);CHKERRQ(ierr); 2851 ierr = MatDestroy(&F);CHKERRQ(ierr); 2852 ierr = VecDestroy(&x);CHKERRQ(ierr); 2853 ierr = VecDestroy(&y);CHKERRQ(ierr); 2854 } 2855 } 2856 ierr = PetscFree(ksps);CHKERRQ(ierr); 2857 } 2858 } 2859 /* return pointers for objects created */ 2860 *fetidp_mat = newmat; 2861 *fetidp_pc = newpc; 2862 PetscFunctionReturn(0); 2863 } 2864 2865 /*@C 2866 PCBDDCCreateFETIDPOperators - Create FETI-DP operators 2867 2868 Collective 2869 2870 Input Parameters: 2871 + pc - the BDDC preconditioning context (setup should have been called before) 2872 . fully_redundant - true for a fully redundant set of Lagrange multipliers 2873 - prefix - optional options database prefix for the objects to be created (can be NULL) 2874 2875 Output Parameters: 2876 + fetidp_mat - shell FETI-DP matrix object 2877 - fetidp_pc - shell Dirichlet preconditioner for FETI-DP matrix 2878 2879 Level: developer 2880 2881 Notes: 2882 Currently the only operations provided for FETI-DP matrix are MatMult and MatMultTranspose 2883 2884 .seealso: PCBDDC, PCBDDCMatFETIDPGetRHS, PCBDDCMatFETIDPGetSolution 2885 @*/ 2886 PetscErrorCode PCBDDCCreateFETIDPOperators(PC pc, PetscBool fully_redundant, const char *prefix, Mat *fetidp_mat, PC *fetidp_pc) 2887 { 2888 PetscErrorCode ierr; 2889 2890 PetscFunctionBegin; 2891 PetscValidHeaderSpecific(pc,PC_CLASSID,1); 2892 if (pc->setupcalled) { 2893 ierr = PetscUseMethod(pc,"PCBDDCCreateFETIDPOperators_C",(PC,PetscBool,const char*,Mat*,PC*),(pc,fully_redundant,prefix,fetidp_mat,fetidp_pc));CHKERRQ(ierr); 2894 } else SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"You must call PCSetup_BDDC() first"); 2895 PetscFunctionReturn(0); 2896 } 2897 /* -------------------------------------------------------------------------- */ 2898 /*MC 2899 PCBDDC - Balancing Domain Decomposition by Constraints. 2900 2901 An implementation of the BDDC preconditioner based on 2902 2903 .vb 2904 [1] C. R. Dohrmann. "An approximate BDDC preconditioner", Numerical Linear Algebra with Applications Volume 14, Issue 2, pages 149-168, March 2007 2905 [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 2906 [3] J. Mandel, B. Sousedik, C. R. Dohrmann. "Multispace and Multilevel BDDC", http://arxiv.org/abs/0712.3977 2907 [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 2908 .ve 2909 2910 The matrix to be preconditioned (Pmat) must be of type MATIS. 2911 2912 Currently works with MATIS matrices with local matrices of type MATSEQAIJ, MATSEQBAIJ or MATSEQSBAIJ, either with real or complex numbers. 2913 2914 It also works with unsymmetric and indefinite problems. 2915 2916 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. 2917 2918 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). 2919 2920 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() 2921 Additional information on dofs can be provided by using PCBDDCSetDofsSplitting(), PCBDDCSetDirichletBoundaries(), PCBDDCSetNeumannBoundaries(), and PCBDDCSetPrimalVerticesIS() and their local counterparts. 2922 2923 Constraints can be customized by attaching a MatNullSpace object to the MATIS matrix via MatSetNearNullSpace(). Non-singular modes are retained via SVD. 2924 2925 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. 2926 User defined change of basis can be passed to PCBDDC by using PCBDDCSetChangeOfBasisMat() 2927 2928 The PETSc implementation also supports multilevel BDDC [3]. Coarse grids are partitioned using a MatPartitioning object. 2929 2930 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. 2931 2932 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. 2933 Deluxe scaling is not supported yet for FETI-DP. 2934 2935 Options Database Keys (some of them, run with -h for a complete list): 2936 2937 . -pc_bddc_use_vertices <true> - use or not vertices in primal space 2938 . -pc_bddc_use_edges <true> - use or not edges in primal space 2939 . -pc_bddc_use_faces <false> - use or not faces in primal space 2940 . -pc_bddc_symmetric <true> - symmetric computation of primal basis functions. Specify false for unsymmetric problems 2941 . -pc_bddc_use_change_of_basis <false> - use change of basis approach (on edges only) 2942 . -pc_bddc_use_change_on_faces <false> - use change of basis approach on faces if change of basis has been requested 2943 . -pc_bddc_switch_static <false> - switches from M_2 (default) to M_3 operator (see reference article [1]) 2944 . -pc_bddc_levels <0> - maximum number of levels for multilevel 2945 . -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) 2946 . -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) 2947 . -pc_bddc_use_deluxe_scaling <false> - use deluxe scaling 2948 . -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) 2949 . -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) 2950 - -pc_bddc_check_level <0> - set verbosity level of debugging output 2951 2952 Options for Dirichlet, Neumann or coarse solver can be set with 2953 .vb 2954 -pc_bddc_dirichlet_ 2955 -pc_bddc_neumann_ 2956 -pc_bddc_coarse_ 2957 .ve 2958 e.g -pc_bddc_dirichlet_ksp_type richardson -pc_bddc_dirichlet_pc_type gamg. PCBDDC uses by default KPSPREONLY and PCLU. 2959 2960 When using a multilevel approach, solvers' options at the N-th level (N > 1) can be specified as 2961 .vb 2962 -pc_bddc_dirichlet_lN_ 2963 -pc_bddc_neumann_lN_ 2964 -pc_bddc_coarse_lN_ 2965 .ve 2966 Note that level number ranges from the finest (0) to the coarsest (N). 2967 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. 2968 .vb 2969 -pc_bddc_coarse_pc_bddc_adaptive_threshold 5 -pc_bddc_coarse_l1_pc_bddc_redistribute 3 2970 .ve 2971 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 2972 2973 Level: intermediate 2974 2975 Developer Notes: 2976 2977 Contributed by Stefano Zampini 2978 2979 .seealso: PCCreate(), PCSetType(), PCType (for list of available types), PC, MATIS 2980 M*/ 2981 2982 PETSC_EXTERN PetscErrorCode PCCreate_BDDC(PC pc) 2983 { 2984 PetscErrorCode ierr; 2985 PC_BDDC *pcbddc; 2986 2987 PetscFunctionBegin; 2988 ierr = PetscNewLog(pc,&pcbddc);CHKERRQ(ierr); 2989 pc->data = (void*)pcbddc; 2990 2991 /* create PCIS data structure */ 2992 ierr = PCISCreate(pc);CHKERRQ(ierr); 2993 2994 /* create local graph structure */ 2995 ierr = PCBDDCGraphCreate(&pcbddc->mat_graph);CHKERRQ(ierr); 2996 2997 /* BDDC nonzero defaults */ 2998 pcbddc->use_local_adj = PETSC_TRUE; 2999 pcbddc->use_vertices = PETSC_TRUE; 3000 pcbddc->use_edges = PETSC_TRUE; 3001 pcbddc->symmetric_primal = PETSC_TRUE; 3002 pcbddc->vertex_size = 1; 3003 pcbddc->recompute_topography = PETSC_TRUE; 3004 pcbddc->coarse_size = -1; 3005 pcbddc->use_exact_dirichlet_trick = PETSC_TRUE; 3006 pcbddc->coarsening_ratio = 8; 3007 pcbddc->coarse_eqs_per_proc = 1; 3008 pcbddc->benign_compute_correction = PETSC_TRUE; 3009 pcbddc->nedfield = -1; 3010 pcbddc->nedglobal = PETSC_TRUE; 3011 pcbddc->graphmaxcount = PETSC_MAX_INT; 3012 pcbddc->sub_schurs_layers = -1; 3013 pcbddc->adaptive_threshold[0] = 0.0; 3014 pcbddc->adaptive_threshold[1] = 0.0; 3015 3016 /* function pointers */ 3017 pc->ops->apply = PCApply_BDDC; 3018 pc->ops->applytranspose = PCApplyTranspose_BDDC; 3019 pc->ops->setup = PCSetUp_BDDC; 3020 pc->ops->destroy = PCDestroy_BDDC; 3021 pc->ops->setfromoptions = PCSetFromOptions_BDDC; 3022 pc->ops->view = PCView_BDDC; 3023 pc->ops->applyrichardson = 0; 3024 pc->ops->applysymmetricleft = 0; 3025 pc->ops->applysymmetricright = 0; 3026 pc->ops->presolve = PCPreSolve_BDDC; 3027 pc->ops->postsolve = PCPostSolve_BDDC; 3028 pc->ops->reset = PCReset_BDDC; 3029 3030 /* composing function */ 3031 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDiscreteGradient_C",PCBDDCSetDiscreteGradient_BDDC);CHKERRQ(ierr); 3032 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDivergenceMat_C",PCBDDCSetDivergenceMat_BDDC);CHKERRQ(ierr); 3033 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetChangeOfBasisMat_C",PCBDDCSetChangeOfBasisMat_BDDC);CHKERRQ(ierr); 3034 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetPrimalVerticesLocalIS_C",PCBDDCSetPrimalVerticesLocalIS_BDDC);CHKERRQ(ierr); 3035 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetPrimalVerticesIS_C",PCBDDCSetPrimalVerticesIS_BDDC);CHKERRQ(ierr); 3036 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetPrimalVerticesLocalIS_C",PCBDDCGetPrimalVerticesLocalIS_BDDC);CHKERRQ(ierr); 3037 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetPrimalVerticesIS_C",PCBDDCGetPrimalVerticesIS_BDDC);CHKERRQ(ierr); 3038 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetCoarseningRatio_C",PCBDDCSetCoarseningRatio_BDDC);CHKERRQ(ierr); 3039 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevel_C",PCBDDCSetLevel_BDDC);CHKERRQ(ierr); 3040 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetUseExactDirichlet_C",PCBDDCSetUseExactDirichlet_BDDC);CHKERRQ(ierr); 3041 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevels_C",PCBDDCSetLevels_BDDC);CHKERRQ(ierr); 3042 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundaries_C",PCBDDCSetDirichletBoundaries_BDDC);CHKERRQ(ierr); 3043 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundariesLocal_C",PCBDDCSetDirichletBoundariesLocal_BDDC);CHKERRQ(ierr); 3044 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundaries_C",PCBDDCSetNeumannBoundaries_BDDC);CHKERRQ(ierr); 3045 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundariesLocal_C",PCBDDCSetNeumannBoundariesLocal_BDDC);CHKERRQ(ierr); 3046 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundaries_C",PCBDDCGetDirichletBoundaries_BDDC);CHKERRQ(ierr); 3047 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundariesLocal_C",PCBDDCGetDirichletBoundariesLocal_BDDC);CHKERRQ(ierr); 3048 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundaries_C",PCBDDCGetNeumannBoundaries_BDDC);CHKERRQ(ierr); 3049 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundariesLocal_C",PCBDDCGetNeumannBoundariesLocal_BDDC);CHKERRQ(ierr); 3050 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplitting_C",PCBDDCSetDofsSplitting_BDDC);CHKERRQ(ierr); 3051 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplittingLocal_C",PCBDDCSetDofsSplittingLocal_BDDC);CHKERRQ(ierr); 3052 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLocalAdjacencyGraph_C",PCBDDCSetLocalAdjacencyGraph_BDDC);CHKERRQ(ierr); 3053 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCCreateFETIDPOperators_C",PCBDDCCreateFETIDPOperators_BDDC);CHKERRQ(ierr); 3054 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetRHS_C",PCBDDCMatFETIDPGetRHS_BDDC);CHKERRQ(ierr); 3055 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetSolution_C",PCBDDCMatFETIDPGetSolution_BDDC);CHKERRQ(ierr); 3056 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCPreSolveChangeRHS_C",PCPreSolveChangeRHS_BDDC);CHKERRQ(ierr); 3057 ierr = PetscObjectComposeFunction((PetscObject)pc,"PCSetCoordinates_C",PCSetCoordinates_BDDC);CHKERRQ(ierr); 3058 PetscFunctionReturn(0); 3059 } 3060 3061 /*@C 3062 PCBDDCInitializePackage - This function initializes everything in the PCBDDC package. It is called 3063 from PCInitializePackage(). 3064 3065 Level: developer 3066 3067 .keywords: PC, PCBDDC, initialize, package 3068 .seealso: PetscInitialize() 3069 @*/ 3070 PetscErrorCode PCBDDCInitializePackage(void) 3071 { 3072 PetscErrorCode ierr; 3073 int i; 3074 3075 PetscFunctionBegin; 3076 if (PCBDDCPackageInitialized) PetscFunctionReturn(0); 3077 PCBDDCPackageInitialized = PETSC_TRUE; 3078 ierr = PetscRegisterFinalize(PCBDDCFinalizePackage);CHKERRQ(ierr); 3079 3080 /* general events */ 3081 ierr = PetscLogEventRegister("PCBDDCTopo",PC_CLASSID,&PC_BDDC_Topology[0]);CHKERRQ(ierr); 3082 ierr = PetscLogEventRegister("PCBDDCLKSP",PC_CLASSID,&PC_BDDC_LocalSolvers[0]);CHKERRQ(ierr); 3083 ierr = PetscLogEventRegister("PCBDDCLWor",PC_CLASSID,&PC_BDDC_LocalWork[0]);CHKERRQ(ierr); 3084 ierr = PetscLogEventRegister("PCBDDCCorr",PC_CLASSID,&PC_BDDC_CorrectionSetUp[0]);CHKERRQ(ierr); 3085 ierr = PetscLogEventRegister("PCBDDCCSet",PC_CLASSID,&PC_BDDC_CoarseSetUp[0]);CHKERRQ(ierr); 3086 ierr = PetscLogEventRegister("PCBDDCCKSP",PC_CLASSID,&PC_BDDC_CoarseSolver[0]);CHKERRQ(ierr); 3087 ierr = PetscLogEventRegister("PCBDDCAdap",PC_CLASSID,&PC_BDDC_AdaptiveSetUp[0]);CHKERRQ(ierr); 3088 ierr = PetscLogEventRegister("PCBDDCScal",PC_CLASSID,&PC_BDDC_Scaling[0]);CHKERRQ(ierr); 3089 ierr = PetscLogEventRegister("PCBDDCSchr",PC_CLASSID,&PC_BDDC_Schurs[0]);CHKERRQ(ierr); 3090 for (i=1;i<PETSC_PCBDDC_MAXLEVELS;i++) { 3091 char ename[32]; 3092 3093 ierr = PetscSNPrintf(ename,sizeof(ename),"PCBDDCTopo l%02d",i);CHKERRQ(ierr); 3094 ierr = PetscLogEventRegister(ename,PC_CLASSID,&PC_BDDC_Topology[i]);CHKERRQ(ierr); 3095 ierr = PetscSNPrintf(ename,sizeof(ename),"PCBDDCLKSP l%02d",i);CHKERRQ(ierr); 3096 ierr = PetscLogEventRegister(ename,PC_CLASSID,&PC_BDDC_LocalSolvers[i]);CHKERRQ(ierr); 3097 ierr = PetscSNPrintf(ename,sizeof(ename),"PCBDDCLWor l%02d",i);CHKERRQ(ierr); 3098 ierr = PetscLogEventRegister(ename,PC_CLASSID,&PC_BDDC_LocalWork[i]);CHKERRQ(ierr); 3099 ierr = PetscSNPrintf(ename,sizeof(ename),"PCBDDCCorr l%02d",i);CHKERRQ(ierr); 3100 ierr = PetscLogEventRegister(ename,PC_CLASSID,&PC_BDDC_CorrectionSetUp[i]);CHKERRQ(ierr); 3101 ierr = PetscSNPrintf(ename,sizeof(ename),"PCBDDCCSet l%02d",i);CHKERRQ(ierr); 3102 ierr = PetscLogEventRegister(ename,PC_CLASSID,&PC_BDDC_CoarseSetUp[i]);CHKERRQ(ierr); 3103 ierr = PetscSNPrintf(ename,sizeof(ename),"PCBDDCCKSP l%02d",i);CHKERRQ(ierr); 3104 ierr = PetscLogEventRegister(ename,PC_CLASSID,&PC_BDDC_CoarseSolver[i]);CHKERRQ(ierr); 3105 ierr = PetscSNPrintf(ename,sizeof(ename),"PCBDDCAdap l%02d",i);CHKERRQ(ierr); 3106 ierr = PetscLogEventRegister(ename,PC_CLASSID,&PC_BDDC_AdaptiveSetUp[i]);CHKERRQ(ierr); 3107 ierr = PetscSNPrintf(ename,sizeof(ename),"PCBDDCScal l%02d",i);CHKERRQ(ierr); 3108 ierr = PetscLogEventRegister(ename,PC_CLASSID,&PC_BDDC_Scaling[i]);CHKERRQ(ierr); 3109 ierr = PetscSNPrintf(ename,sizeof(ename),"PCBDDCSchr l%02d",i);CHKERRQ(ierr); 3110 ierr = PetscLogEventRegister(ename,PC_CLASSID,&PC_BDDC_Schurs[i]);CHKERRQ(ierr); 3111 } 3112 PetscFunctionReturn(0); 3113 } 3114 3115 /*@C 3116 PCBDDCFinalizePackage - This function frees everything from the PCBDDC package. It is 3117 called from PetscFinalize() automatically. 3118 3119 Level: developer 3120 3121 .keywords: Petsc, destroy, package 3122 .seealso: PetscFinalize() 3123 @*/ 3124 PetscErrorCode PCBDDCFinalizePackage(void) 3125 { 3126 PetscFunctionBegin; 3127 PCBDDCPackageInitialized = PETSC_FALSE; 3128 PetscFunctionReturn(0); 3129 } 3130