xref: /petsc/src/ksp/pc/impls/bddc/bddcscalingbasic.c (revision 8856534d0da8efe4a7353ec01f2d79f164793cf0) 
1 #include <../src/ksp/pc/impls/bddc/bddc.h>
2 #include <../src/ksp/pc/impls/bddc/bddcprivate.h>
3 
4 /* prototypes for deluxe functions */
5 static PetscErrorCode PCBDDCScalingCreate_Deluxe(PC);
6 static PetscErrorCode PCBDDCScalingDestroy_Deluxe(PC);
7 static PetscErrorCode PCBDDCScalingSetUp_Deluxe(PC);
8 static PetscErrorCode PCBDDCScalingSetUp_Deluxe_Par(PC,PetscInt,PetscInt,PetscInt[],PetscInt[]);
9 static PetscErrorCode PCBDDCScalingSetUp_Deluxe_Seq(PC,PetscInt,PetscInt,PetscInt[],PetscInt[]);
10 static PetscErrorCode PCBDDCScalingReset_Deluxe_Solvers(PCBDDCDeluxeScaling);
11 
12 #undef __FUNCT__
13 #define __FUNCT__ "PCBDDCScalingExtension_Basic"
14 static PetscErrorCode PCBDDCScalingExtension_Basic(PC pc, Vec local_interface_vector, Vec global_vector)
15 {
16   PC_IS* pcis = (PC_IS*)pc->data;
17   PC_BDDC* pcbddc = (PC_BDDC*)pc->data;
18   PetscErrorCode ierr;
19 
20   PetscFunctionBegin;
21   /* Apply partition of unity */
22   ierr = VecPointwiseMult(pcbddc->work_scaling,pcis->D,local_interface_vector);CHKERRQ(ierr);
23   ierr = VecSet(global_vector,0.0);CHKERRQ(ierr);
24   ierr = VecScatterBegin(pcis->global_to_B,pcbddc->work_scaling,global_vector,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
25   ierr = VecScatterEnd(pcis->global_to_B,pcbddc->work_scaling,global_vector,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
26   PetscFunctionReturn(0);
27 }
28 
29 #undef __FUNCT__
30 #define __FUNCT__ "PCBDDCScalingExtension_Deluxe"
31 static PetscErrorCode PCBDDCScalingExtension_Deluxe(PC pc, Vec x, Vec y)
32 {
33   PC_IS*              pcis=(PC_IS*)pc->data;
34   PC_BDDC*            pcbddc=(PC_BDDC*)pc->data;
35   PCBDDCDeluxeScaling deluxe_ctx = pcbddc->deluxe_ctx;
36   PCBDDCSubSchurs     sub_schurs = deluxe_ctx->sub_schurs;
37   PetscInt            i;
38   PetscErrorCode      ierr;
39 
40   /* TODO CHECK STUFF RELATED WITH FAKE WORK */
41   PetscFunctionBegin;
42   ierr = VecSet(pcbddc->work_scaling,0.0);CHKERRQ(ierr); /* needed by the fake work below */
43   if (deluxe_ctx->n_simple) {
44     /* scale deluxe vertices using diagonal scaling */
45     PetscScalar *array_x,*array_D,*array;
46     ierr = VecGetArray(x,&array_x);CHKERRQ(ierr);
47     ierr = VecGetArray(pcis->D,&array_D);CHKERRQ(ierr);
48     ierr = VecGetArray(pcbddc->work_scaling,&array);CHKERRQ(ierr);
49     for (i=0;i<deluxe_ctx->n_simple;i++) {
50       array[deluxe_ctx->idx_simple_B[i]] = array_x[deluxe_ctx->idx_simple_B[i]]*array_D[deluxe_ctx->idx_simple_B[i]];
51     }
52     ierr = VecRestoreArray(pcbddc->work_scaling,&array);CHKERRQ(ierr);
53     ierr = VecRestoreArray(pcis->D,&array_D);CHKERRQ(ierr);
54     ierr = VecRestoreArray(x,&array_x);CHKERRQ(ierr);
55   }
56   /* sequential part : all problems and Schur applications collapsed into a single matrix vector multiplication and ksp solution */
57   if (deluxe_ctx->seq_mat) {
58     ierr = VecScatterBegin(deluxe_ctx->seq_scctx,x,deluxe_ctx->seq_work1,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
59     ierr = VecScatterEnd(deluxe_ctx->seq_scctx,x,deluxe_ctx->seq_work1,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
60     ierr = MatMult(deluxe_ctx->seq_mat,deluxe_ctx->seq_work1,deluxe_ctx->seq_work2);CHKERRQ(ierr);
61     ierr = KSPSolve(deluxe_ctx->seq_ksp,deluxe_ctx->seq_work2,deluxe_ctx->seq_work1);CHKERRQ(ierr);
62     /* fake work due to final ADD VALUES and vertices scaling needed? TODO: check it */
63     ierr = VecScatterBegin(deluxe_ctx->seq_scctx,deluxe_ctx->seq_work1,pcbddc->work_scaling,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
64     ierr = VecScatterEnd(deluxe_ctx->seq_scctx,deluxe_ctx->seq_work1,pcbddc->work_scaling,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
65   }
66   /* parallel part */
67   for (i=0;i<deluxe_ctx->par_colors;i++) {
68     if (deluxe_ctx->par_ksp[i]) {
69       PetscMPIInt color_rank;
70       PetscInt    subidx = deluxe_ctx->par_col2sub[i];
71       /* restrict on subset */
72       ierr = VecScatterBegin(deluxe_ctx->par_scctx_s[i],x,sub_schurs->work1[subidx],INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
73       ierr = VecScatterEnd(deluxe_ctx->par_scctx_s[i],x,sub_schurs->work1[subidx],INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
74       /* S_Ej */
75       ierr = MatMult(sub_schurs->S_Ej[subidx],sub_schurs->work1[subidx],sub_schurs->work2[subidx]);CHKERRQ(ierr);
76       /* (\sum_j S_Ej)^-1 */
77       ierr = VecSet(deluxe_ctx->par_vec[i],0.0);CHKERRQ(ierr);
78       ierr = VecScatterBegin(deluxe_ctx->par_scctx_p[i],sub_schurs->work2[subidx],deluxe_ctx->par_vec[i],ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
79       ierr = VecScatterEnd(deluxe_ctx->par_scctx_p[i],sub_schurs->work2[subidx],deluxe_ctx->par_vec[i],ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
80       ierr = KSPSolve(deluxe_ctx->par_ksp[i],deluxe_ctx->par_vec[i],deluxe_ctx->par_vec[i]);CHKERRQ(ierr);
81       ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)deluxe_ctx->par_ksp[i]),&color_rank);CHKERRQ(ierr);
82       /* get back solution on subset */
83       ierr = VecScatterBegin(deluxe_ctx->par_scctx_p[i],deluxe_ctx->par_vec[i],sub_schurs->work1[subidx],INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
84       ierr = VecScatterEnd(deluxe_ctx->par_scctx_p[i],deluxe_ctx->par_vec[i],sub_schurs->work1[subidx],INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
85       if (!color_rank) { /* only the master process in coloured comm copies the computed values */
86         ierr = VecScatterBegin(deluxe_ctx->par_scctx_s[i],sub_schurs->work1[subidx],pcbddc->work_scaling,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
87         ierr = VecScatterEnd(deluxe_ctx->par_scctx_s[i],sub_schurs->work1[subidx],pcbddc->work_scaling,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
88       }
89     }
90   }
91   /* put local boundary part in global vector */
92   ierr = VecSet(y,0.0);CHKERRQ(ierr);
93   ierr = VecScatterBegin(pcis->global_to_B,pcbddc->work_scaling,y,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
94   ierr = VecScatterEnd(pcis->global_to_B,pcbddc->work_scaling,y,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
95   PetscFunctionReturn(0);
96 }
97 
98 #undef __FUNCT__
99 #define __FUNCT__ "PCBDDCScalingExtension"
100 PetscErrorCode PCBDDCScalingExtension(PC pc, Vec local_interface_vector, Vec global_vector)
101 {
102   PC_BDDC *pcbddc=(PC_BDDC*)pc->data;
103   PetscErrorCode ierr;
104 
105   PetscFunctionBegin;
106   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
107   PetscValidHeaderSpecific(local_interface_vector,VEC_CLASSID,2);
108   PetscValidHeaderSpecific(global_vector,VEC_CLASSID,3);
109   if (local_interface_vector == pcbddc->work_scaling) {
110     SETERRQ(PETSC_COMM_WORLD,PETSC_ERR_SUP,"Local vector cannot be pcbddc->work_scaling!\n");
111   }
112   ierr = PetscTryMethod(pc,"PCBDDCScalingExtension_C",(PC,Vec,Vec),(pc,local_interface_vector,global_vector));CHKERRQ(ierr);
113   PetscFunctionReturn(0);
114 }
115 
116 #undef __FUNCT__
117 #define __FUNCT__ "PCBDDCScalingRestriction_Basic"
118 static PetscErrorCode PCBDDCScalingRestriction_Basic(PC pc, Vec global_vector, Vec local_interface_vector)
119 {
120   PetscErrorCode ierr;
121   PC_IS* pcis = (PC_IS*)pc->data;
122 
123   PetscFunctionBegin;
124   ierr = VecScatterBegin(pcis->global_to_B,global_vector,local_interface_vector,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
125   ierr = VecScatterEnd(pcis->global_to_B,global_vector,local_interface_vector,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
126   /* Apply partition of unity */
127   ierr = VecPointwiseMult(local_interface_vector,pcis->D,local_interface_vector);CHKERRQ(ierr);
128   PetscFunctionReturn(0);
129 }
130 
131 #undef __FUNCT__
132 #define __FUNCT__ "PCBDDCScalingRestriction_Deluxe"
133 static PetscErrorCode PCBDDCScalingRestriction_Deluxe(PC pc, Vec x, Vec y)
134 {
135   PC_IS*              pcis=(PC_IS*)pc->data;
136   PC_BDDC*            pcbddc=(PC_BDDC*)pc->data;
137   PCBDDCDeluxeScaling deluxe_ctx = pcbddc->deluxe_ctx;
138   PCBDDCSubSchurs     sub_schurs = deluxe_ctx->sub_schurs;
139   PetscInt            i;
140   PetscErrorCode      ierr;
141 
142   PetscFunctionBegin;
143   /* get local boundary part of global vector */
144   ierr = VecScatterBegin(pcis->global_to_B,x,y,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
145   ierr = VecScatterEnd(pcis->global_to_B,x,y,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
146   if (deluxe_ctx->n_simple) {
147     /* scale deluxe vertices using diagonal scaling */
148     PetscScalar *array_y,*array_D;
149     ierr = VecGetArray(y,&array_y);CHKERRQ(ierr);
150     ierr = VecGetArray(pcis->D,&array_D);CHKERRQ(ierr);
151     for (i=0;i<deluxe_ctx->n_simple;i++) {
152       array_y[deluxe_ctx->idx_simple_B[i]] *= array_D[deluxe_ctx->idx_simple_B[i]];
153     }
154     ierr = VecRestoreArray(pcis->D,&array_D);CHKERRQ(ierr);
155     ierr = VecRestoreArray(y,&array_y);CHKERRQ(ierr);
156   }
157   /* sequential part : all problems and Schur applications collapsed into a single matrix vector multiplication and ksp solution */
158   if (deluxe_ctx->seq_mat) {
159     ierr = VecScatterBegin(deluxe_ctx->seq_scctx,y,deluxe_ctx->seq_work1,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
160     ierr = VecScatterEnd(deluxe_ctx->seq_scctx,y,deluxe_ctx->seq_work1,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
161     ierr = KSPSolveTranspose(deluxe_ctx->seq_ksp,deluxe_ctx->seq_work1,deluxe_ctx->seq_work2);CHKERRQ(ierr);
162     ierr = MatMultTranspose(deluxe_ctx->seq_mat,deluxe_ctx->seq_work2,deluxe_ctx->seq_work1);CHKERRQ(ierr);
163     ierr = VecScatterBegin(deluxe_ctx->seq_scctx,deluxe_ctx->seq_work1,y,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
164     ierr = VecScatterEnd(deluxe_ctx->seq_scctx,deluxe_ctx->seq_work1,y,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
165   }
166   /* parallel part */
167   for (i=0;i<deluxe_ctx->par_colors;i++) {
168     if (deluxe_ctx->par_ksp[i]) {
169       PetscInt subidx = deluxe_ctx->par_col2sub[i];
170       /* restrict on subset */
171       ierr = VecScatterBegin(deluxe_ctx->par_scctx_s[i],y,sub_schurs->work1[subidx],INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
172       ierr = VecScatterEnd(deluxe_ctx->par_scctx_s[i],y,sub_schurs->work1[subidx],INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
173       /* (\sum_j S_Ej)^-T */
174       ierr = VecSet(deluxe_ctx->par_vec[i],0.0);CHKERRQ(ierr);
175       ierr = VecScatterBegin(deluxe_ctx->par_scctx_p[i],sub_schurs->work1[subidx],deluxe_ctx->par_vec[i],INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
176       ierr = VecScatterEnd(deluxe_ctx->par_scctx_p[i],sub_schurs->work1[subidx],deluxe_ctx->par_vec[i],INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
177       ierr = KSPSolveTranspose(deluxe_ctx->par_ksp[i],deluxe_ctx->par_vec[i],deluxe_ctx->par_vec[i]);CHKERRQ(ierr);
178       ierr = VecScatterBegin(deluxe_ctx->par_scctx_p[i],deluxe_ctx->par_vec[i],sub_schurs->work1[subidx],INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
179       ierr = VecScatterEnd(deluxe_ctx->par_scctx_p[i],deluxe_ctx->par_vec[i],sub_schurs->work1[subidx],INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
180       /* S_Ej^T */
181       ierr = MatMultTranspose(sub_schurs->S_Ej[subidx],sub_schurs->work1[subidx],sub_schurs->work2[subidx]);CHKERRQ(ierr);
182       /* extend to boundary */
183       ierr = VecScatterBegin(deluxe_ctx->par_scctx_s[i],sub_schurs->work2[subidx],y,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
184       ierr = VecScatterEnd(deluxe_ctx->par_scctx_s[i],sub_schurs->work2[subidx],y,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
185     }
186   }
187   PetscFunctionReturn(0);
188 }
189 
190 #undef __FUNCT__
191 #define __FUNCT__ "PCBDDCScalingRestriction"
192 PetscErrorCode PCBDDCScalingRestriction(PC pc, Vec global_vector, Vec local_interface_vector)
193 {
194   PC_BDDC        *pcbddc=(PC_BDDC*)pc->data;
195   PetscErrorCode ierr;
196 
197   PetscFunctionBegin;
198   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
199   PetscValidHeaderSpecific(global_vector,VEC_CLASSID,2);
200   PetscValidHeaderSpecific(local_interface_vector,VEC_CLASSID,3);
201   if (local_interface_vector == pcbddc->work_scaling) {
202     SETERRQ(PETSC_COMM_WORLD,PETSC_ERR_SUP,"Local vector should cannot be pcbddc->work_scaling!\n");
203   }
204   ierr = PetscTryMethod(pc,"PCBDDCScalingRestriction_C",(PC,Vec,Vec),(pc,global_vector,local_interface_vector));CHKERRQ(ierr);
205   PetscFunctionReturn(0);
206 }
207 
208 #undef __FUNCT__
209 #define __FUNCT__ "PCBDDCScalingSetUp"
210 PetscErrorCode PCBDDCScalingSetUp(PC pc)
211 {
212   PC_IS* pcis=(PC_IS*)pc->data;
213   PC_BDDC* pcbddc=(PC_BDDC*)pc->data;
214   PetscErrorCode ierr;
215 
216   PetscFunctionBegin;
217   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
218   /* create work vector for the operator */
219   ierr = VecDestroy(&pcbddc->work_scaling);CHKERRQ(ierr);
220   ierr = VecDuplicate(pcis->vec1_B,&pcbddc->work_scaling);CHKERRQ(ierr);
221   /* always rebuild pcis->D */
222   if (pcis->use_stiffness_scaling) {
223     ierr = MatGetDiagonal(pcbddc->local_mat,pcis->vec1_N);CHKERRQ(ierr);
224     ierr = VecScatterBegin(pcis->N_to_B,pcis->vec1_N,pcis->D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
225     ierr = VecScatterEnd(pcis->N_to_B,pcis->vec1_N,pcis->D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
226   }
227   ierr = VecCopy(pcis->D,pcis->vec1_B);CHKERRQ(ierr);
228   ierr = VecSet(pcis->vec1_global,0.0);CHKERRQ(ierr);
229   ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_B,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
230   ierr = VecScatterEnd(pcis->global_to_B,pcis->vec1_B,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
231   ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_global,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
232   ierr = VecScatterEnd(pcis->global_to_B,pcis->vec1_global,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
233   ierr = VecPointwiseDivide(pcis->D,pcis->D,pcis->vec1_B);CHKERRQ(ierr);
234   /* now setup */
235   if (pcbddc->use_deluxe_scaling) {
236     if (!pcbddc->deluxe_ctx) {
237       ierr = PCBDDCScalingCreate_Deluxe(pc);CHKERRQ(ierr);
238     }
239     ierr = PCBDDCScalingSetUp_Deluxe(pc);CHKERRQ(ierr);
240     ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCScalingRestriction_C",PCBDDCScalingRestriction_Deluxe);CHKERRQ(ierr);
241     ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCScalingExtension_C",PCBDDCScalingExtension_Deluxe);CHKERRQ(ierr);
242   } else {
243     ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCScalingRestriction_C",PCBDDCScalingRestriction_Basic);CHKERRQ(ierr);
244     ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCScalingExtension_C",PCBDDCScalingExtension_Basic);CHKERRQ(ierr);
245   }
246 
247   /* test */
248   if (pcbddc->dbg_flag) {
249     Vec         vec2_global;
250     PetscViewer viewer=pcbddc->dbg_viewer;
251     PetscReal   error;
252 
253     /* extension -> from local to parallel */
254     ierr = VecSet(pcis->vec1_global,0.0);CHKERRQ(ierr);
255     ierr = VecSetRandom(pcis->vec1_B,NULL);CHKERRQ(ierr);
256     ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_B,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
257     ierr = VecScatterEnd(pcis->global_to_B,pcis->vec1_B,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
258     ierr = VecDuplicate(pcis->vec1_global,&vec2_global);CHKERRQ(ierr);
259     ierr = VecCopy(pcis->vec1_global,vec2_global);CHKERRQ(ierr);
260 
261     ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_global,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
262     ierr = VecScatterEnd(pcis->global_to_B,pcis->vec1_global,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
263     ierr = PCBDDCScalingExtension(pc,pcis->vec1_B,pcis->vec1_global);CHKERRQ(ierr);
264     ierr = VecAXPY(pcis->vec1_global,-1.0,vec2_global);CHKERRQ(ierr);
265     ierr = VecNorm(pcis->vec1_global,NORM_INFINITY,&error);CHKERRQ(ierr);
266     ierr = PetscViewerASCIIPrintf(viewer,"Error scaling extension %1.14e\n",error);CHKERRQ(ierr);
267     if (error>1.e-8 && pcbddc->dbg_flag>1) {
268       ierr = VecView(pcis->vec1_global,viewer);CHKERRQ(ierr);
269     }
270     ierr = VecDestroy(&vec2_global);CHKERRQ(ierr);
271 
272     /* restriction -> from parallel to local */
273     ierr = VecSet(pcis->vec1_global,0.0);CHKERRQ(ierr);
274     ierr = VecSetRandom(pcis->vec1_B,NULL);CHKERRQ(ierr);
275     ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_B,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
276     ierr = VecScatterEnd(pcis->global_to_B,pcis->vec1_B,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
277 
278     ierr = PCBDDCScalingRestriction(pc,pcis->vec1_global,pcis->vec1_B);CHKERRQ(ierr);
279     ierr = VecScale(pcis->vec1_B,-1.0);CHKERRQ(ierr);
280     ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_B,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
281     ierr = VecScatterEnd(pcis->global_to_B,pcis->vec1_B,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
282     ierr = VecNorm(pcis->vec1_global,NORM_INFINITY,&error);CHKERRQ(ierr);
283     ierr = PetscViewerASCIIPrintf(viewer,"Error scaling restriction %1.14e\n",error);CHKERRQ(ierr);
284     if (error>1.e-8 && pcbddc->dbg_flag>1) {
285       ierr = VecView(pcis->vec1_global,viewer);CHKERRQ(ierr);
286     }
287   }
288   PetscFunctionReturn(0);
289 }
290 
291 #undef __FUNCT__
292 #define __FUNCT__ "PCBDDCScalingDestroy"
293 PetscErrorCode PCBDDCScalingDestroy(PC pc)
294 {
295   PC_BDDC* pcbddc=(PC_BDDC*)pc->data;
296   PetscErrorCode ierr;
297 
298   PetscFunctionBegin;
299   if (pcbddc->deluxe_ctx) {
300     ierr = PCBDDCScalingDestroy_Deluxe(pc);CHKERRQ(ierr);
301   }
302   ierr = VecDestroy(&pcbddc->work_scaling);CHKERRQ(ierr);
303   /* remove functions */
304   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCScalingRestriction_C",NULL);CHKERRQ(ierr);
305   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCScalingExtension_C",NULL);CHKERRQ(ierr);
306   PetscFunctionReturn(0);
307 }
308 
309 #undef __FUNCT__
310 #define __FUNCT__ "PCBDDCScalingCreate_Deluxe"
311 static PetscErrorCode PCBDDCScalingCreate_Deluxe(PC pc)
312 {
313   PC_BDDC*            pcbddc=(PC_BDDC*)pc->data;
314   PCBDDCDeluxeScaling deluxe_ctx;
315   PetscErrorCode      ierr;
316 
317   PetscFunctionBegin;
318   ierr = PetscNew(&deluxe_ctx);CHKERRQ(ierr);
319   ierr = PCBDDCSubSchursCreate(&deluxe_ctx->sub_schurs);CHKERRQ(ierr);
320   pcbddc->deluxe_ctx = deluxe_ctx;
321   PetscFunctionReturn(0);
322 }
323 
324 #undef __FUNCT__
325 #define __FUNCT__ "PCBDDCScalingDestroy_Deluxe"
326 static PetscErrorCode PCBDDCScalingDestroy_Deluxe(PC pc)
327 {
328   PC_BDDC*            pcbddc=(PC_BDDC*)pc->data;
329   PetscErrorCode      ierr;
330 
331   PetscFunctionBegin;
332   ierr = PCBDDCScalingReset_Deluxe_Solvers(pcbddc->deluxe_ctx);CHKERRQ(ierr);
333   ierr = PCBDDCSubSchursDestroy(&(pcbddc->deluxe_ctx->sub_schurs));CHKERRQ(ierr);
334   ierr = PetscFree(pcbddc->deluxe_ctx);CHKERRQ(ierr);
335   PetscFunctionReturn(0);
336 }
337 
338 #undef __FUNCT__
339 #define __FUNCT__ "PCBDDCScalingReset_Deluxe_Solvers"
340 static PetscErrorCode PCBDDCScalingReset_Deluxe_Solvers(PCBDDCDeluxeScaling deluxe_ctx)
341 {
342   PetscErrorCode      ierr;
343 
344   PetscFunctionBegin;
345   ierr = PetscFree(deluxe_ctx->idx_simple_B);CHKERRQ(ierr);
346   deluxe_ctx->n_simple = 0;
347   if (deluxe_ctx->seq_mat) {
348     ierr = VecScatterDestroy(&deluxe_ctx->seq_scctx);CHKERRQ(ierr);
349     ierr = VecDestroy(&deluxe_ctx->seq_work1);CHKERRQ(ierr);
350     ierr = VecDestroy(&deluxe_ctx->seq_work2);CHKERRQ(ierr);
351     ierr = MatDestroy(&deluxe_ctx->seq_mat);CHKERRQ(ierr);
352     ierr = KSPDestroy(&deluxe_ctx->seq_ksp);CHKERRQ(ierr);
353   }
354   if (deluxe_ctx->par_colors) {
355     PetscInt i;
356     for (i=0;i<deluxe_ctx->par_colors;i++) {
357       ierr = VecScatterDestroy(&deluxe_ctx->par_scctx_s[i]);CHKERRQ(ierr);
358       ierr = VecScatterDestroy(&deluxe_ctx->par_scctx_p[i]);CHKERRQ(ierr);
359       ierr = VecDestroy(&deluxe_ctx->par_vec[i]);CHKERRQ(ierr);
360       ierr = KSPDestroy(&deluxe_ctx->par_ksp[i]);CHKERRQ(ierr);
361     }
362     ierr = PetscFree5(deluxe_ctx->par_ksp,
363                       deluxe_ctx->par_scctx_s,
364                       deluxe_ctx->par_scctx_p,
365                       deluxe_ctx->par_vec,
366                       deluxe_ctx->par_col2sub);CHKERRQ(ierr);
367   }
368   deluxe_ctx->par_colors = 0;
369   PetscFunctionReturn(0);
370 }
371 
372 #undef __FUNCT__
373 #define __FUNCT__ "PCBDDCScalingSetUp_Deluxe"
374 static PetscErrorCode PCBDDCScalingSetUp_Deluxe(PC pc)
375 {
376   PC_IS                  *pcis=(PC_IS*)pc->data;
377   PC_BDDC                *pcbddc=(PC_BDDC*)pc->data;
378   PCBDDCDeluxeScaling    deluxe_ctx=pcbddc->deluxe_ctx;
379   PCBDDCSubSchurs        sub_schurs=deluxe_ctx->sub_schurs;
380   PCBDDCGraph            graph;
381   PetscInt               *index_sequential,*index_parallel;
382   PetscInt               *auxlocal_sequential,*auxlocal_parallel;
383   PetscInt               *auxglobal_sequential,*auxglobal_parallel;
384   PetscInt               *auxmapping;
385   PetscInt               i,j,min_loc;
386   PetscInt               n_sequential_problems,n_local_sequential_problems,n_parallel_problems,n_local_parallel_problems;
387   PetscErrorCode         ierr;
388 
389   PetscFunctionBegin;
390   /* throw away the solvers */
391   ierr = PCBDDCScalingReset_Deluxe_Solvers(deluxe_ctx);CHKERRQ(ierr);
392 
393   /* attach interface graph for determining subsets */
394   if (pcbddc->deluxe_rebuild) { /* in case rebuild has been requested, it uses a graph generated only by the neighbouring information */
395     PetscInt *idx_V_N;
396     IS       verticesIS;
397     ierr = PCBDDCGetPrimalVerticesLocalIdx(pc,&i,&idx_V_N);CHKERRQ(ierr);
398     ierr = ISCreateGeneral(PETSC_COMM_SELF,i,idx_V_N,PETSC_OWN_POINTER,&verticesIS);CHKERRQ(ierr);
399     ierr = PCBDDCGraphCreate(&graph);CHKERRQ(ierr);
400     ierr = PCBDDCGraphInit(graph,pcbddc->mat_graph->l2gmap);CHKERRQ(ierr);
401     ierr = PCBDDCGraphSetUp(graph,0,PETSC_NULL,pcbddc->DirichletBoundaries,0,PETSC_NULL,verticesIS);CHKERRQ(ierr);
402     ierr = PCBDDCGraphComputeConnectedComponents(graph);CHKERRQ(ierr);
403     ierr = ISDestroy(&verticesIS);CHKERRQ(ierr);
404 /*
405     if (pcbddc->dbg_flag) {
406       ierr = PCBDDCGraphASCIIView(graph,pcbddc->dbg_flag,pcbddc->dbg_viewer);CHKERRQ(ierr);
407     }
408 */
409   } else {
410     graph = pcbddc->mat_graph;
411   }
412 
413   /* map interface's subsets */
414   j = 0;
415   for (i=0;i<graph->ncc;i++) {
416     j = PetscMax(j,graph->cptr[i+1]-graph->cptr[i]);
417   }
418   ierr = PetscMalloc5(j,&auxmapping,
419                       graph->ncc,&auxlocal_sequential,
420                       graph->ncc,&auxlocal_parallel,
421                       graph->ncc,&index_sequential,
422                       graph->ncc,&index_parallel);CHKERRQ(ierr);
423 
424   n_local_sequential_problems = 0;
425   n_local_parallel_problems = 0;
426   deluxe_ctx->n_simple = 0;
427   for (i=0;i<graph->ncc;i++) {
428     PetscInt subset_size = graph->cptr[i+1]-graph->cptr[i];
429     if (subset_size > 1) {
430       ierr = ISLocalToGlobalMappingApply(graph->l2gmap,subset_size,&graph->queue[graph->cptr[i]],auxmapping);CHKERRQ(ierr);
431       min_loc = 0;
432       for (j=1;j<subset_size;j++) {
433         if (auxmapping[j]<auxmapping[min_loc]) {
434           min_loc = j;
435         }
436       }
437       if (subset_size > pcbddc->deluxe_threshold) {
438         index_parallel[n_local_parallel_problems] = i;
439         auxlocal_parallel[n_local_parallel_problems] = graph->queue[graph->cptr[i]+min_loc];
440         n_local_parallel_problems++;
441       } else {
442         index_sequential[n_local_sequential_problems] = i;
443         auxlocal_sequential[n_local_sequential_problems] = graph->queue[graph->cptr[i]+min_loc];
444         n_local_sequential_problems++;
445       }
446     } else {
447       deluxe_ctx->n_simple++;
448     }
449   }
450 
451   /* diagonal scaling on size 1 cc and on dirichlet boundary dofs */
452   for (i=0;i<graph->nvtxs;i++) {
453     if (graph->count[i] && graph->special_dof[i] == PCBDDCGRAPH_DIRICHLET_MARK) {
454       deluxe_ctx->n_simple++;
455     }
456   }
457   ierr = PetscMalloc1(deluxe_ctx->n_simple,&deluxe_ctx->idx_simple_B);CHKERRQ(ierr);
458   deluxe_ctx->n_simple = 0;
459   for (i=0;i<graph->ncc;i++) {
460     if (graph->cptr[i+1]-graph->cptr[i]==1) {
461       deluxe_ctx->idx_simple_B[deluxe_ctx->n_simple++] = graph->queue[graph->cptr[i]];
462     }
463   }
464   for (i=0;i<graph->nvtxs;i++) {
465     if (graph->count[i] && graph->special_dof[i] == PCBDDCGRAPH_DIRICHLET_MARK) {
466       deluxe_ctx->idx_simple_B[deluxe_ctx->n_simple++] = i;
467     }
468   }
469   ierr = ISGlobalToLocalMappingApply(pcbddc->BtoNmap,IS_GTOLM_DROP,deluxe_ctx->n_simple,deluxe_ctx->idx_simple_B,&i,deluxe_ctx->idx_simple_B);CHKERRQ(ierr);
470   if (i != deluxe_ctx->n_simple) {
471     SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Error when mapping simple scaling dofs! %d != %d",i,deluxe_ctx->n_simple);
472   }
473   ierr = PetscSortInt(deluxe_ctx->n_simple,deluxe_ctx->idx_simple_B);CHKERRQ(ierr);
474 
475   /* SetUp local schur complements on subsets TODO better reuse procedure */
476   if (!sub_schurs->n_subs) {
477     Mat       S_j;
478     PetscBool free_used_adj;
479     PetscInt  *used_xadj,*used_adjncy;
480 
481     /* decide the adjacency to be used for determining internal problems for local schur on subsets */
482     free_used_adj = PETSC_FALSE;
483     if (pcbddc->deluxe_layers == -1) {
484       used_xadj = NULL;
485       used_adjncy = NULL;
486     } else {
487       if ((pcbddc->deluxe_use_useradj && pcbddc->mat_graph->xadj) || !pcbddc->deluxe_compute_rowadj) {
488         used_xadj = pcbddc->mat_graph->xadj;
489         used_adjncy = pcbddc->mat_graph->adjncy;
490       } else {
491         Mat            mat_adj;
492         PetscBool      flg_row=PETSC_TRUE;
493         const PetscInt *xadj,*adjncy;
494         PetscInt       nvtxs;
495 
496         ierr = MatConvert(pcbddc->local_mat,MATMPIADJ,MAT_INITIAL_MATRIX,&mat_adj);CHKERRQ(ierr);
497         ierr = MatGetRowIJ(mat_adj,0,PETSC_TRUE,PETSC_FALSE,&nvtxs,&xadj,&adjncy,&flg_row);CHKERRQ(ierr);
498         if (!flg_row) {
499           SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Error in MatGetRowIJ called in %s\n",__FUNCT__);
500         }
501         ierr = PetscMalloc2(nvtxs+1,&used_xadj,xadj[nvtxs],&used_adjncy);CHKERRQ(ierr);
502         ierr = PetscMemcpy(used_xadj,xadj,(nvtxs+1)*sizeof(*xadj));CHKERRQ(ierr);
503         ierr = PetscMemcpy(used_adjncy,adjncy,(xadj[nvtxs])*sizeof(*adjncy));CHKERRQ(ierr);
504         ierr = MatRestoreRowIJ(mat_adj,0,PETSC_TRUE,PETSC_FALSE,&nvtxs,&xadj,&adjncy,&flg_row);CHKERRQ(ierr);
505         if (!flg_row) {
506           SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Error in MatRestoreRowIJ called in %s\n",__FUNCT__);
507         }
508         ierr = MatDestroy(&mat_adj);CHKERRQ(ierr);
509         free_used_adj = PETSC_TRUE;
510       }
511     }
512 
513     /* Create Schur complement matrix */
514     ierr = MatCreateSchurComplement(pcis->A_II,pcis->A_II,pcis->A_IB,pcis->A_BI,pcis->A_BB,&S_j);CHKERRQ(ierr);
515     ierr = MatSchurComplementSetKSP(S_j,pcbddc->ksp_D);CHKERRQ(ierr);
516     /* setup Schur complements on subsets */
517     ierr = PCBDDCSubSchursSetUp(sub_schurs,S_j,pcis->is_I_local,pcis->is_B_local,graph->ncc,graph->cptr,graph->queue,used_xadj,used_adjncy,PETSC_TRUE,pcbddc->deluxe_layers);CHKERRQ(ierr);
518     ierr = MatDestroy(&S_j);CHKERRQ(ierr);
519     /* free adjacency */
520     if (free_used_adj) {
521       ierr = PetscFree2(used_xadj,used_adjncy);CHKERRQ(ierr);
522     }
523   }
524 
525   /* Number parallel problems */
526   auxglobal_parallel = 0;
527   ierr = PCBDDCSubsetNumbering(PetscObjectComm((PetscObject)pc),graph->l2gmap,n_local_parallel_problems,auxlocal_parallel,PETSC_NULL,&n_parallel_problems,&auxglobal_parallel);CHKERRQ(ierr);
528   if (pcbddc->dbg_flag) {
529     ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"Deluxe global number of parallel subproblems: %d\n",n_parallel_problems);
530   }
531 
532   /* Compute data structures to solve parallel problems */
533   ierr = PCBDDCScalingSetUp_Deluxe_Par(pc,n_local_parallel_problems,n_parallel_problems,auxglobal_parallel,index_parallel);CHKERRQ(ierr);
534   ierr = PetscFree(auxglobal_parallel);CHKERRQ(ierr);
535 
536 
537   /* Number sequential problems */
538   auxglobal_sequential = 0;
539   ierr = PCBDDCSubsetNumbering(PetscObjectComm((PetscObject)pc),graph->l2gmap,n_local_sequential_problems,auxlocal_sequential,PETSC_NULL,&n_sequential_problems,&auxglobal_sequential);CHKERRQ(ierr);
540   if (pcbddc->dbg_flag) {
541     ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"Deluxe global number of sequential subproblems: %d\n",n_sequential_problems);
542   }
543 
544   /* Compute data structures to solve sequential problems */
545   ierr = PCBDDCScalingSetUp_Deluxe_Seq(pc,n_local_sequential_problems,n_sequential_problems,auxglobal_sequential,index_sequential);CHKERRQ(ierr);
546   ierr = PetscFree(auxglobal_sequential);CHKERRQ(ierr);
547 
548   /* free workspace */
549   ierr = PetscFree5(auxmapping,auxlocal_sequential,auxlocal_parallel,index_sequential,index_parallel);CHKERRQ(ierr);
550 
551   /* free graph struct */
552   if (pcbddc->deluxe_rebuild) {
553     ierr = PCBDDCGraphDestroy(&graph);CHKERRQ(ierr);
554   }
555   PetscFunctionReturn(0);
556 }
557 
558 #undef __FUNCT__
559 #define __FUNCT__ "PCBDDCScalingSetUp_Deluxe_Par"
560 static PetscErrorCode PCBDDCScalingSetUp_Deluxe_Par(PC pc, PetscInt n_local_parallel_problems,PetscInt n_parallel_problems,PetscInt global_parallel[],PetscInt index_parallel[])
561 {
562   PC_BDDC                *pcbddc=(PC_BDDC*)pc->data;
563   PCBDDCDeluxeScaling    deluxe_ctx=pcbddc->deluxe_ctx;
564   /* coloring */
565   Mat                    parallel_problems;
566   MatColoring            coloring_obj;
567   ISColoring             coloring_parallel_problems;
568   IS                     *par_is_colors,*is_colors;
569   /* working stuff */
570   PetscInt               i,j;
571   PetscErrorCode         ierr;
572 
573   PetscFunctionBegin;
574   if (!n_parallel_problems) {
575     PetscFunctionReturn(0);
576   }
577   /* Color parallel subproblems */
578   ierr = MatCreate(PetscObjectComm((PetscObject)pc),&parallel_problems);CHKERRQ(ierr);
579   ierr = MatSetSizes(parallel_problems,PETSC_DECIDE,PETSC_DECIDE,n_parallel_problems,n_parallel_problems);CHKERRQ(ierr);
580   ierr = MatSetType(parallel_problems,MATAIJ);CHKERRQ(ierr);
581   ierr = MatSetUp(parallel_problems);CHKERRQ(ierr);
582   ierr = MatSetOption(parallel_problems,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_FALSE);CHKERRQ(ierr);
583   ierr = MatSetOption(parallel_problems,MAT_NEW_NONZERO_ALLOCATION_ERR,PETSC_FALSE);CHKERRQ(ierr);
584   for (i=0;i<n_local_parallel_problems;i++) {
585     PetscInt row = global_parallel[i];
586     for (j=0;j<n_local_parallel_problems;j++) {
587       PetscInt col = global_parallel[j];
588       if (row != col) {
589         ierr = MatSetValue(parallel_problems,row,col,1.0,INSERT_VALUES);CHKERRQ(ierr);
590       }
591     }
592   }
593   ierr = MatAssemblyBegin(parallel_problems,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
594   ierr = MatAssemblyEnd(parallel_problems,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
595   if (pcbddc->dbg_flag > 1) {
596     ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr);
597     ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"Adj matrix for deluxe parallel problems\n");CHKERRQ(ierr);
598     ierr = MatView(parallel_problems,pcbddc->dbg_viewer);CHKERRQ(ierr);
599   }
600   ierr = MatColoringCreate(parallel_problems,&coloring_obj);CHKERRQ(ierr);
601   ierr = MatColoringSetDistance(coloring_obj,1);CHKERRQ(ierr);
602   ierr = MatColoringSetType(coloring_obj,MATCOLORINGJP);CHKERRQ(ierr);
603   ierr = MatColoringApply(coloring_obj,&coloring_parallel_problems);CHKERRQ(ierr);
604   ierr = ISColoringGetIS(coloring_parallel_problems,&deluxe_ctx->par_colors,&par_is_colors);CHKERRQ(ierr);
605   if (pcbddc->dbg_flag) {
606     ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr);
607     ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"Number of colors %d for parallel part of deluxe\n",deluxe_ctx->par_colors);CHKERRQ(ierr);
608   }
609 
610   /* all procs should know the color distribution */
611   ierr = PetscMalloc1(deluxe_ctx->par_colors,&is_colors);CHKERRQ(ierr);
612   for (i=0;i<deluxe_ctx->par_colors;i++) {
613     if (pcbddc->dbg_flag) {
614       ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"Global problem indexes for color %d\n",i);CHKERRQ(ierr);
615       ierr = ISView(par_is_colors[i],pcbddc->dbg_viewer);CHKERRQ(ierr);
616       ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr);
617     }
618     ierr = ISAllGather(par_is_colors[i],&is_colors[i]);CHKERRQ(ierr);
619   }
620 
621   /* free unneeded objects */
622   ierr = ISColoringRestoreIS(coloring_parallel_problems,&par_is_colors);CHKERRQ(ierr);
623   ierr = ISColoringDestroy(&coloring_parallel_problems);CHKERRQ(ierr);
624   ierr = MatColoringDestroy(&coloring_obj);CHKERRQ(ierr);
625   ierr = MatDestroy(&parallel_problems);CHKERRQ(ierr);
626 
627   /* allocate deluxe arrays for parallel problems */
628   ierr = PetscMalloc5(deluxe_ctx->par_colors,&deluxe_ctx->par_ksp,
629                       deluxe_ctx->par_colors,&deluxe_ctx->par_scctx_s,
630                       deluxe_ctx->par_colors,&deluxe_ctx->par_scctx_p,
631                       deluxe_ctx->par_colors,&deluxe_ctx->par_vec,
632                       deluxe_ctx->par_colors,&deluxe_ctx->par_col2sub);CHKERRQ(ierr);
633 
634   /* cycle on colors */
635   for (i=0;i<deluxe_ctx->par_colors;i++) {
636     PetscSubcomm    par_subcomm;
637     const PetscInt* idxs_subproblems;
638     PetscInt        color_size;
639     PetscMPIInt     rank,active_color;
640 
641     /* get local index of i-th parallel colored problem */
642     ierr = ISGetLocalSize(is_colors[i],&color_size);CHKERRQ(ierr);
643     ierr = ISGetIndices(is_colors[i],&idxs_subproblems);CHKERRQ(ierr);
644     /* split comm for computing parallel problems for this color */
645     /* Processes not partecipating at this stage will have color = color_size */
646     /* because PetscCommDuplicate does not handle MPI_COMM_NULL */
647     active_color = color_size;
648     deluxe_ctx->par_col2sub[i] = -1;
649     for (j=0;j<n_local_parallel_problems;j++) {
650       PetscInt local_idx;
651       ierr = PetscFindInt(global_parallel[j],color_size,idxs_subproblems,&local_idx);CHKERRQ(ierr);
652       if (local_idx > -1) {
653         ierr = PetscMPIIntCast(local_idx,&active_color);CHKERRQ(ierr);
654         deluxe_ctx->par_col2sub[i] = index_parallel[j];
655         break;
656       }
657     }
658     ierr = ISRestoreIndices(is_colors[i],&idxs_subproblems);CHKERRQ(ierr);
659     ierr = PetscSubcommCreate(PetscObjectComm((PetscObject)pc),&par_subcomm);CHKERRQ(ierr);
660     ierr = PetscSubcommSetNumber(par_subcomm,color_size+1);CHKERRQ(ierr);
661     ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)pc),&rank);CHKERRQ(ierr);
662     ierr = PetscSubcommSetTypeGeneral(par_subcomm,active_color,rank);CHKERRQ(ierr);
663     /* print debug info */
664     if (pcbddc->dbg_flag) {
665       PetscMPIInt crank,csize;
666       ierr = MPI_Comm_rank(par_subcomm->comm,&crank);CHKERRQ(ierr);
667       ierr = MPI_Comm_size(par_subcomm->comm,&csize);CHKERRQ(ierr);
668       ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"Color %d: size %d, details follows.\n",i,color_size);CHKERRQ(ierr);
669       ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr);
670       ierr = PetscViewerASCIISynchronizedAllow(pcbddc->dbg_viewer,PETSC_TRUE);CHKERRQ(ierr);
671       ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"  Subdomain %d: color in subcomm %d (rank %d out of %d) (lidx %d)\n",PetscGlobalRank,par_subcomm->color,crank,csize,deluxe_ctx->par_col2sub[i]);CHKERRQ(ierr);
672       ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr);
673     }
674 
675     if (deluxe_ctx->par_col2sub[i] >= 0) {
676       PC                     pc;
677       Mat                    color_mat,color_mat_is,temp_mat;
678       ISLocalToGlobalMapping WtoNmap,l2gmap_subset;
679       IS                     is_local_numbering,isB_local,isW_local,isW;
680       PCBDDCSubSchurs        sub_schurs = deluxe_ctx->sub_schurs;
681       PetscInt               subidx,n_local_dofs,n_global_dofs;
682       PetscInt               *global_numbering,*local_numbering;
683       char                   ksp_prefix[256];
684       size_t                 len;
685 
686       /* Local index for schur complement on subset */
687       subidx = deluxe_ctx->par_col2sub[i];
688 
689       /* Parallel numbering for dofs in colored subset */
690       ierr = ISSum(sub_schurs->is_AEj_I[subidx],sub_schurs->is_AEj_B[subidx],&is_local_numbering);CHKERRQ(ierr);
691       ierr = ISGetLocalSize(is_local_numbering,&n_local_dofs);CHKERRQ(ierr);
692       ierr = ISGetIndices(is_local_numbering,(const PetscInt **)&local_numbering);CHKERRQ(ierr);
693       ierr = PCBDDCSubsetNumbering(par_subcomm->comm,pcbddc->mat_graph->l2gmap,n_local_dofs,local_numbering,PETSC_NULL,&n_global_dofs,&global_numbering);CHKERRQ(ierr);
694       ierr = ISRestoreIndices(is_local_numbering,(const PetscInt **)&local_numbering);CHKERRQ(ierr);
695 
696       /* L2Gmap from relevant dofs to local dofs */
697       ierr = ISLocalToGlobalMappingCreateIS(is_local_numbering,&WtoNmap);CHKERRQ(ierr);
698 
699       /* L2Gmap from local to global dofs */
700       ierr = ISLocalToGlobalMappingCreate(par_subcomm->comm,1,n_local_dofs,global_numbering,PETSC_COPY_VALUES,&l2gmap_subset);CHKERRQ(ierr);
701 
702       /* compute parallel matrix (extended dirichlet problem on subset) */
703       ierr = MatCreateIS(par_subcomm->comm,1,PETSC_DECIDE,PETSC_DECIDE,n_global_dofs,n_global_dofs,l2gmap_subset,&color_mat_is);CHKERRQ(ierr);
704       ierr = MatGetSubMatrix(pcbddc->local_mat,is_local_numbering,is_local_numbering,MAT_INITIAL_MATRIX,&temp_mat);CHKERRQ(ierr);
705       ierr = MatISSetLocalMat(color_mat_is,temp_mat);CHKERRQ(ierr);
706       ierr = MatDestroy(&temp_mat);CHKERRQ(ierr);
707       ierr = MatISGetMPIXAIJ(color_mat_is,MAT_INITIAL_MATRIX,&color_mat);CHKERRQ(ierr);
708       ierr = MatDestroy(&color_mat_is);CHKERRQ(ierr);
709 
710       /* work vector for (parallel) extended dirichlet problem */
711       ierr = MatGetVecs(color_mat,&deluxe_ctx->par_vec[i],NULL);CHKERRQ(ierr);
712 
713       /* compute scatters */
714       /* deluxe_ctx->par_scctx_p[i] extension from local subset to extended dirichlet problem
715          deluxe_ctx->par_scctx_s[i] restriction from local boundary to subset -> simple copy of selected values */
716       ierr = ISGlobalToLocalMappingApplyIS(pcbddc->BtoNmap,IS_GTOLM_DROP,sub_schurs->is_AEj_B[subidx],&isB_local);CHKERRQ(ierr);
717       ierr = VecScatterCreate(pcbddc->work_scaling,isB_local,sub_schurs->work1[subidx],NULL,&deluxe_ctx->par_scctx_s[i]);CHKERRQ(ierr);
718       ierr = ISGlobalToLocalMappingApplyIS(WtoNmap,IS_GTOLM_DROP,sub_schurs->is_AEj_B[subidx],&isW_local);CHKERRQ(ierr);
719       ierr = ISLocalToGlobalMappingApplyIS(l2gmap_subset,isW_local,&isW);CHKERRQ(ierr);
720       ierr = VecScatterCreate(sub_schurs->work1[subidx],NULL,deluxe_ctx->par_vec[i],isW,&deluxe_ctx->par_scctx_p[i]);CHKERRQ(ierr);
721 
722       /* free objects no longer neeeded */
723       ierr = ISDestroy(&isW);CHKERRQ(ierr);
724       ierr = ISDestroy(&isW_local);CHKERRQ(ierr);
725       ierr = ISDestroy(&isB_local);CHKERRQ(ierr);
726       ierr = ISLocalToGlobalMappingDestroy(&WtoNmap);CHKERRQ(ierr);
727       ierr = ISLocalToGlobalMappingDestroy(&l2gmap_subset);CHKERRQ(ierr);
728       ierr = ISDestroy(&is_local_numbering);CHKERRQ(ierr);
729       ierr = PetscFree(global_numbering);CHKERRQ(ierr);
730 
731       /* KSP for extended dirichlet problem */
732       ierr = KSPCreate(par_subcomm->comm,&deluxe_ctx->par_ksp[i]);CHKERRQ(ierr);
733       ierr = KSPSetOperators(deluxe_ctx->par_ksp[i],color_mat,color_mat);CHKERRQ(ierr);
734       ierr = KSPSetTolerances(deluxe_ctx->par_ksp[i],1.e-12,1.e-12,1.e10,10000);CHKERRQ(ierr);
735       ierr = KSPSetType(deluxe_ctx->par_ksp[i],KSPPREONLY);CHKERRQ(ierr);
736       ierr = KSPGetPC(deluxe_ctx->par_ksp[i],&pc);CHKERRQ(ierr);
737       ierr = PCSetType(pc,PCREDUNDANT);CHKERRQ(ierr);
738       ierr = PetscStrlen(((PetscObject)(pcbddc->ksp_D))->prefix,&len);CHKERRQ(ierr);
739       len -= 10; /* remove "dirichlet_" */
740       ierr = PetscStrncpy(ksp_prefix,((PetscObject)(pcbddc->ksp_D))->prefix,len+1);CHKERRQ(ierr); /* PetscStrncpy puts a terminating char at the end */
741       ierr = PetscStrcat(ksp_prefix,"deluxe_par_");CHKERRQ(ierr);
742       ierr = KSPSetOptionsPrefix(deluxe_ctx->par_ksp[i],ksp_prefix);CHKERRQ(ierr);
743       ierr = KSPSetFromOptions(deluxe_ctx->par_ksp[i]);CHKERRQ(ierr);
744       ierr = KSPSetUp(deluxe_ctx->par_ksp[i]);CHKERRQ(ierr);
745       ierr = MatDestroy(&color_mat);CHKERRQ(ierr);
746     } else { /* not partecipating in color */
747       deluxe_ctx->par_ksp[i] = 0;
748       deluxe_ctx->par_vec[i] = 0;
749       deluxe_ctx->par_scctx_p[i] = 0;
750       deluxe_ctx->par_scctx_s[i] = 0;
751     }
752     ierr = PetscSubcommDestroy(&par_subcomm);CHKERRQ(ierr);
753   }
754   for (i=0;i<deluxe_ctx->par_colors;i++) {
755     ierr = ISDestroy(&is_colors[i]);CHKERRQ(ierr);
756   }
757   ierr = PetscFree(is_colors);CHKERRQ(ierr);
758 
759   if (pcbddc->dbg_flag) {
760     Vec test_vec;
761     PetscReal error;
762     PCBDDCSubSchurs sub_schurs = deluxe_ctx->sub_schurs;
763     /* test partition of unity of coloured schur complements  */
764     for (i=0;i<deluxe_ctx->par_colors;i++) {
765       PetscInt  subidx = deluxe_ctx->par_col2sub[i];
766       PetscBool error_found = PETSC_FALSE;
767       ierr = PetscViewerASCIISynchronizedAllow(pcbddc->dbg_viewer,PETSC_TRUE);CHKERRQ(ierr);
768 
769       if (deluxe_ctx->par_ksp[i]) {
770         /* create random test vec being zero on internal nodes of the extende dirichlet problem */
771         ierr = VecDuplicate(deluxe_ctx->par_vec[i],&test_vec);CHKERRQ(ierr);
772         ierr = VecSetRandom(sub_schurs->work1[subidx],PETSC_NULL);CHKERRQ(ierr);
773         ierr = VecSet(test_vec,0.0);CHKERRQ(ierr);
774         ierr = VecScatterBegin(deluxe_ctx->par_scctx_p[i],sub_schurs->work1[subidx],test_vec,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
775         ierr = VecScatterEnd(deluxe_ctx->par_scctx_p[i],sub_schurs->work1[subidx],test_vec,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
776         /* w_j */
777         ierr = VecScatterBegin(deluxe_ctx->par_scctx_p[i],test_vec,sub_schurs->work1[subidx],INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
778         ierr = VecScatterEnd(deluxe_ctx->par_scctx_p[i],test_vec,sub_schurs->work1[subidx],INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
779         /* S_j*w_j */
780         ierr = MatMult(sub_schurs->S_Ej[subidx],sub_schurs->work1[subidx],sub_schurs->work2[subidx]);CHKERRQ(ierr);
781         /* \sum_j S_j*w_j */
782         ierr = VecSet(deluxe_ctx->par_vec[i],0.0);CHKERRQ(ierr);
783         ierr = VecScatterBegin(deluxe_ctx->par_scctx_p[i],sub_schurs->work2[subidx],deluxe_ctx->par_vec[i],ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
784         ierr = VecScatterEnd(deluxe_ctx->par_scctx_p[i],sub_schurs->work2[subidx],deluxe_ctx->par_vec[i],ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
785         /* (\sum_j S_j)^(-1)(\sum_j S_j*w_j) */
786         ierr = KSPSolve(deluxe_ctx->par_ksp[i],deluxe_ctx->par_vec[i],deluxe_ctx->par_vec[i]);CHKERRQ(ierr);
787         ierr = VecScatterBegin(deluxe_ctx->par_scctx_p[i],deluxe_ctx->par_vec[i],sub_schurs->work1[subidx],INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
788         ierr = VecScatterEnd(deluxe_ctx->par_scctx_p[i],deluxe_ctx->par_vec[i],sub_schurs->work1[subidx],INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
789         ierr = VecSet(deluxe_ctx->par_vec[i],0.0);CHKERRQ(ierr);
790         ierr = VecScatterBegin(deluxe_ctx->par_scctx_p[i],sub_schurs->work1[subidx],deluxe_ctx->par_vec[i],INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
791         ierr = VecScatterEnd(deluxe_ctx->par_scctx_p[i],sub_schurs->work1[subidx],deluxe_ctx->par_vec[i],INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
792         /* test partition of unity */
793         ierr = VecAXPY(test_vec,-1.0,deluxe_ctx->par_vec[i]);CHKERRQ(ierr);
794         ierr = VecNorm(test_vec,NORM_INFINITY,&error);CHKERRQ(ierr);
795         if (PetscAbsReal(error) > 1.e-8) {
796           /* ierr = VecView(test_vec,0);CHKERRQ(ierr); */
797           error_found = PETSC_TRUE;
798         }
799         ierr = VecDestroy(&test_vec);CHKERRQ(ierr);
800       }
801       if (error_found) {
802         ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"Error testing local schur for color %d and subdomain %d\n",i,PetscGlobalRank);CHKERRQ(ierr);
803       }
804       ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr);
805     }
806   }
807   PetscFunctionReturn(0);
808 }
809 
810 
811 #undef __FUNCT__
812 #define __FUNCT__ "PCBDDCScalingSetUp_Deluxe_Seq"
813 static PetscErrorCode PCBDDCScalingSetUp_Deluxe_Seq(PC pc,PetscInt n_local_sequential_problems,PetscInt n_sequential_problems,PetscInt global_sequential[],PetscInt local_sequential[])
814 {
815   PC_BDDC             *pcbddc=(PC_BDDC*)pc->data;
816   PCBDDCDeluxeScaling deluxe_ctx=pcbddc->deluxe_ctx;
817   PCBDDCSubSchurs     sub_schurs = deluxe_ctx->sub_schurs;
818   Mat                 global_schur_subsets,*submat_global_schur_subsets,work_mat;
819   IS                  is_to,is_from;
820   PetscScalar         *array,*fill_vals;
821   PetscInt            *all_local_idx_G,*all_local_idx_B,*all_local_idx_N,*all_permutation_G,*dummy_idx;
822   PetscInt            i,j,k,local_problem_index;
823   PetscInt            subset_size,max_subset_size,max_subset_size_red;
824   PetscInt            local_size,global_size;
825   char                ksp_prefix[256];
826   size_t              len;
827   PetscErrorCode      ierr;
828 
829   PetscFunctionBegin;
830   if (!n_sequential_problems) {
831     PetscFunctionReturn(0);
832   }
833   /* Get info on subset sizes and sum of all subsets sizes */
834   max_subset_size = 0;
835   local_size = 0;
836   for (i=0;i<n_local_sequential_problems;i++) {
837     local_problem_index = local_sequential[i];
838     ierr = ISGetLocalSize(sub_schurs->is_AEj_B[local_problem_index],&subset_size);CHKERRQ(ierr);
839     max_subset_size = PetscMax(subset_size,max_subset_size);
840     local_size += subset_size;
841   }
842 
843   /* Work arrays for local indices */
844   ierr = PetscMalloc1(local_size,&all_local_idx_B);CHKERRQ(ierr);
845   ierr = PetscMalloc1(local_size,&all_local_idx_N);CHKERRQ(ierr);
846 
847   /* Get local indices in local whole numbering and local boundary numbering */
848   local_size = 0;
849   for (i=0;i<n_local_sequential_problems;i++) {
850     PetscInt *idxs;
851     /* get info on local problem */
852     local_problem_index = local_sequential[i];
853     ierr = ISGetLocalSize(sub_schurs->is_AEj_B[local_problem_index],&subset_size);CHKERRQ(ierr);
854     ierr = ISGetIndices(sub_schurs->is_AEj_B[local_problem_index],(const PetscInt**)&idxs);CHKERRQ(ierr);
855     /* subset indices in local numbering */
856     ierr = PetscMemcpy(all_local_idx_N+local_size,idxs,subset_size*sizeof(PetscInt));CHKERRQ(ierr);
857     /* subset indices in local boundary numbering */
858     ierr = ISGlobalToLocalMappingApply(pcbddc->BtoNmap,IS_GTOLM_DROP,subset_size,idxs,&j,&all_local_idx_B[local_size]);CHKERRQ(ierr);
859     ierr = ISRestoreIndices(sub_schurs->is_AEj_B[local_problem_index],(const PetscInt**)&idxs);CHKERRQ(ierr);
860     if (j != subset_size) {
861       SETERRQ3(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Error in BDDC deluxe serial %d (BtoNmap)! %d != %d\n",local_problem_index,subset_size,j);
862     }
863     local_size += subset_size;
864   }
865 
866   /* Number dofs on all subsets (parallel) and sort numbering */
867   ierr = PCBDDCSubsetNumbering(PetscObjectComm((PetscObject)pc),pcbddc->mat_graph->l2gmap,local_size,all_local_idx_N,PETSC_NULL,&global_size,&all_local_idx_G);CHKERRQ(ierr);
868   ierr = PetscMalloc1(local_size,&all_permutation_G);CHKERRQ(ierr);
869   for (i=0;i<local_size;i++) {
870     all_permutation_G[i]=i;
871   }
872   ierr = PetscSortIntWithPermutation(local_size,all_local_idx_G,all_permutation_G);CHKERRQ(ierr);
873 
874   /* Local matrix of all local Schur on subsets */
875   ierr = MatCreate(PETSC_COMM_SELF,&deluxe_ctx->seq_mat);CHKERRQ(ierr);
876   ierr = MatSetSizes(deluxe_ctx->seq_mat,PETSC_DECIDE,PETSC_DECIDE,local_size,local_size);CHKERRQ(ierr);
877   ierr = MatSetType(deluxe_ctx->seq_mat,MATAIJ);CHKERRQ(ierr);
878   ierr = MatSeqAIJSetPreallocation(deluxe_ctx->seq_mat,max_subset_size,PETSC_NULL);CHKERRQ(ierr);
879 
880   /* Global matrix of all assembled Schur on subsets */
881   ierr = MatCreate(PetscObjectComm((PetscObject)pc),&global_schur_subsets);CHKERRQ(ierr);
882   ierr = MatSetSizes(global_schur_subsets,PETSC_DECIDE,PETSC_DECIDE,global_size,global_size);CHKERRQ(ierr);
883   ierr = MatSetType(global_schur_subsets,MATAIJ);CHKERRQ(ierr);
884   ierr = MPI_Allreduce(&max_subset_size,&max_subset_size_red,1,MPIU_INT,MPI_MAX,PetscObjectComm((PetscObject)pc));CHKERRQ(ierr);
885   ierr = MatMPIAIJSetPreallocation(global_schur_subsets,max_subset_size_red,PETSC_NULL,max_subset_size_red,PETSC_NULL);CHKERRQ(ierr);
886 
887   /* Work arrays */
888   ierr = PetscMalloc2(max_subset_size,&dummy_idx,max_subset_size*max_subset_size,&fill_vals);CHKERRQ(ierr);
889 
890   /* Loop on local problems to compute Schur complements explicitly */
891   local_size = 0;
892   for (i=0;i<n_local_sequential_problems;i++) {
893     /* get info on local problem */
894     local_problem_index = local_sequential[i];
895     ierr = ISGetLocalSize(sub_schurs->is_AEj_B[local_problem_index],&subset_size);CHKERRQ(ierr);
896     /* local Schur */
897     for (j=0;j<subset_size;j++) {
898       ierr = VecSet(sub_schurs->work1[local_problem_index],0.0);CHKERRQ(ierr);
899       ierr = VecSetValue(sub_schurs->work1[local_problem_index],j,1.0,INSERT_VALUES);CHKERRQ(ierr);
900       ierr = MatMult(sub_schurs->S_Ej[local_problem_index],sub_schurs->work1[local_problem_index],sub_schurs->work2[local_problem_index]);CHKERRQ(ierr);
901       /* store vals */
902       ierr = VecGetArray(sub_schurs->work2[local_problem_index],&array);CHKERRQ(ierr);
903       for (k=0;k<subset_size;k++) {
904         fill_vals[k*subset_size+j] = array[k];
905       }
906       ierr = VecRestoreArray(sub_schurs->work2[local_problem_index],&array);CHKERRQ(ierr);
907     }
908     for (j=0;j<subset_size;j++) {
909       dummy_idx[j]=local_size+j;
910     }
911     ierr = MatSetValues(deluxe_ctx->seq_mat,subset_size,dummy_idx,subset_size,dummy_idx,fill_vals,INSERT_VALUES);CHKERRQ(ierr);
912     ierr = MatSetValues(global_schur_subsets,subset_size,&all_local_idx_G[local_size],subset_size,&all_local_idx_G[local_size],fill_vals,ADD_VALUES);CHKERRQ(ierr);
913     local_size += subset_size;
914   }
915   ierr = MatAssemblyBegin(deluxe_ctx->seq_mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
916   ierr = MatAssemblyEnd(deluxe_ctx->seq_mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
917   ierr = MatAssemblyBegin(global_schur_subsets,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
918   ierr = MatAssemblyEnd(global_schur_subsets,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
919   ierr = PetscFree2(dummy_idx,fill_vals);CHKERRQ(ierr);
920 
921   /* Create work vectors for sequential part of deluxe */
922   ierr = MatGetVecs(deluxe_ctx->seq_mat,&deluxe_ctx->seq_work1,&deluxe_ctx->seq_work2);CHKERRQ(ierr);
923 
924   /* Compute deluxe sequential scatter */
925   ierr = ISCreateGeneral(PETSC_COMM_SELF,local_size,all_local_idx_B,PETSC_OWN_POINTER,&is_from);CHKERRQ(ierr);
926   ierr = VecScatterCreate(pcbddc->work_scaling,is_from,deluxe_ctx->seq_work1,NULL,&deluxe_ctx->seq_scctx);CHKERRQ(ierr);
927   ierr = ISDestroy(&is_from);CHKERRQ(ierr);
928 
929   /* Get local part of (\sum_j S_Ej) */
930   for (i=0;i<local_size;i++) {
931     all_local_idx_N[i] = all_local_idx_G[all_permutation_G[i]];
932   }
933   ierr = ISCreateGeneral(PetscObjectComm((PetscObject)pc),local_size,all_local_idx_N,PETSC_OWN_POINTER,&is_to);CHKERRQ(ierr);
934   ierr = MatGetSubMatrices(global_schur_subsets,1,&is_to,&is_to,MAT_INITIAL_MATRIX,&submat_global_schur_subsets);CHKERRQ(ierr);
935   ierr = MatDestroy(&global_schur_subsets);CHKERRQ(ierr);
936   ierr = ISDestroy(&is_to);CHKERRQ(ierr);
937   for (i=0;i<local_size;i++) {
938     all_local_idx_G[all_permutation_G[i]] = i;
939   }
940   ierr = ISCreateGeneral(PETSC_COMM_SELF,local_size,all_local_idx_G,PETSC_OWN_POINTER,&is_from);CHKERRQ(ierr);
941   ierr = ISSetPermutation(is_from);CHKERRQ(ierr);
942   ierr = MatPermute(submat_global_schur_subsets[0],is_from,is_from,&work_mat);CHKERRQ(ierr);
943   ierr = MatDestroyMatrices(1,&submat_global_schur_subsets);CHKERRQ(ierr);
944   ierr = ISDestroy(&is_from);CHKERRQ(ierr);
945   ierr = PetscFree(all_permutation_G);CHKERRQ(ierr);
946 
947   /* Create KSP object for sequential part of deluxe scaling */
948   ierr = KSPCreate(PETSC_COMM_SELF,&deluxe_ctx->seq_ksp);CHKERRQ(ierr);
949   ierr = KSPSetOperators(deluxe_ctx->seq_ksp,work_mat,work_mat);CHKERRQ(ierr);
950   ierr = KSPSetType(deluxe_ctx->seq_ksp,KSPPREONLY);CHKERRQ(ierr);
951   ierr = PetscStrlen(((PetscObject)(pcbddc->ksp_D))->prefix,&len);CHKERRQ(ierr);
952   len -= 10; /* remove "dirichlet_" */
953   ierr = PetscStrncpy(ksp_prefix,((PetscObject)(pcbddc->ksp_D))->prefix,len+1);CHKERRQ(ierr);
954   ierr = PetscStrcat(ksp_prefix,"deluxe_seq_");CHKERRQ(ierr);
955   ierr = KSPSetOptionsPrefix(deluxe_ctx->seq_ksp,ksp_prefix);CHKERRQ(ierr);
956   ierr = KSPSetFromOptions(deluxe_ctx->seq_ksp);CHKERRQ(ierr);
957   ierr = KSPSetUp(deluxe_ctx->seq_ksp);CHKERRQ(ierr);
958   ierr = MatDestroy(&work_mat);CHKERRQ(ierr);
959   PetscFunctionReturn(0);
960 }
961