Actual source code: bddcfetidp.c

petsc-3.11.3 2019-06-26
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  1:  #include <../src/ksp/pc/impls/bddc/bddc.h>
  2:  #include <../src/ksp/pc/impls/bddc/bddcprivate.h>
  3:  #include <petscblaslapack.h>

  5: static PetscErrorCode MatMult_BDdelta_deluxe_nonred(Mat A, Vec x, Vec y)
  6: {
  7:   BDdelta_DN     ctx;

 11:   MatShellGetContext(A,(void**)&ctx);
 12:   MatMultTranspose(ctx->BD,x,ctx->work);
 13:   KSPSolveTranspose(ctx->kBD,ctx->work,y);
 14:   /* No PC so cannot propagate up failure in KSPSolveTranspose() */
 15:   return(0);
 16: }

 18: static PetscErrorCode MatMultTranspose_BDdelta_deluxe_nonred(Mat A, Vec x, Vec y)
 19: {
 20:   BDdelta_DN     ctx;

 24:   MatShellGetContext(A,(void**)&ctx);
 25:   KSPSolve(ctx->kBD,x,ctx->work);
 26:   /* No PC so cannot propagate up failure in KSPSolve() */
 27:   MatMult(ctx->BD,ctx->work,y);
 28:   return(0);
 29: }

 31: static PetscErrorCode MatDestroy_BDdelta_deluxe_nonred(Mat A)
 32: {
 33:   BDdelta_DN     ctx;

 37:   MatShellGetContext(A,(void**)&ctx);
 38:   MatDestroy(&ctx->BD);
 39:   KSPDestroy(&ctx->kBD);
 40:   VecDestroy(&ctx->work);
 41:   PetscFree(ctx);
 42:   return(0);
 43: }


 46: PetscErrorCode PCBDDCCreateFETIDPMatContext(PC pc, FETIDPMat_ctx *fetidpmat_ctx)
 47: {
 48:   FETIDPMat_ctx  newctx;

 52:   PetscNew(&newctx);
 53:   /* increase the reference count for BDDC preconditioner */
 54:   PetscObjectReference((PetscObject)pc);
 55:   newctx->pc              = pc;
 56:   *fetidpmat_ctx          = newctx;
 57:   return(0);
 58: }

 60: PetscErrorCode PCBDDCCreateFETIDPPCContext(PC pc, FETIDPPC_ctx *fetidppc_ctx)
 61: {
 62:   FETIDPPC_ctx   newctx;

 66:   PetscNew(&newctx);
 67:   /* increase the reference count for BDDC preconditioner */
 68:   PetscObjectReference((PetscObject)pc);
 69:   newctx->pc              = pc;
 70:   *fetidppc_ctx           = newctx;
 71:   return(0);
 72: }

 74: PetscErrorCode PCBDDCDestroyFETIDPMat(Mat A)
 75: {
 76:   FETIDPMat_ctx  mat_ctx;

 80:   MatShellGetContext(A,(void**)&mat_ctx);
 81:   VecDestroy(&mat_ctx->lambda_local);
 82:   VecDestroy(&mat_ctx->temp_solution_D);
 83:   VecDestroy(&mat_ctx->temp_solution_B);
 84:   MatDestroy(&mat_ctx->B_delta);
 85:   MatDestroy(&mat_ctx->B_Ddelta);
 86:   MatDestroy(&mat_ctx->B_BB);
 87:   MatDestroy(&mat_ctx->B_BI);
 88:   MatDestroy(&mat_ctx->Bt_BB);
 89:   MatDestroy(&mat_ctx->Bt_BI);
 90:   MatDestroy(&mat_ctx->C);
 91:   VecDestroy(&mat_ctx->rhs_flip);
 92:   VecDestroy(&mat_ctx->vP);
 93:   VecDestroy(&mat_ctx->xPg);
 94:   VecDestroy(&mat_ctx->yPg);
 95:   VecScatterDestroy(&mat_ctx->l2g_lambda);
 96:   VecScatterDestroy(&mat_ctx->l2g_lambda_only);
 97:   VecScatterDestroy(&mat_ctx->l2g_p);
 98:   VecScatterDestroy(&mat_ctx->g2g_p);
 99:   PCDestroy(&mat_ctx->pc); /* decrease PCBDDC reference count */
100:   ISDestroy(&mat_ctx->pressure);
101:   ISDestroy(&mat_ctx->lagrange);
102:   PetscFree(mat_ctx);
103:   return(0);
104: }

106: PetscErrorCode PCBDDCDestroyFETIDPPC(PC pc)
107: {
108:   FETIDPPC_ctx   pc_ctx;

112:   PCShellGetContext(pc,(void**)&pc_ctx);
113:   VecDestroy(&pc_ctx->lambda_local);
114:   MatDestroy(&pc_ctx->B_Ddelta);
115:   VecScatterDestroy(&pc_ctx->l2g_lambda);
116:   MatDestroy(&pc_ctx->S_j);
117:   PCDestroy(&pc_ctx->pc); /* decrease PCBDDC reference count */
118:   VecDestroy(&pc_ctx->xPg);
119:   VecDestroy(&pc_ctx->yPg);
120:   PetscFree(pc_ctx);
121:   return(0);
122: }

124: PetscErrorCode PCBDDCSetupFETIDPMatContext(FETIDPMat_ctx fetidpmat_ctx )
125: {
127:   PC_IS          *pcis=(PC_IS*)fetidpmat_ctx->pc->data;
128:   PC_BDDC        *pcbddc=(PC_BDDC*)fetidpmat_ctx->pc->data;
129:   PCBDDCGraph    mat_graph=pcbddc->mat_graph;
130: #if defined(PETSC_USE_DEBUG)
131:   Mat_IS         *matis  = (Mat_IS*)fetidpmat_ctx->pc->pmat->data;
132: #endif
133:   MPI_Comm       comm;
134:   Mat            ScalingMat,BD1,BD2;
135:   Vec            fetidp_global;
136:   IS             IS_l2g_lambda;
137:   IS             subset,subset_mult,subset_n,isvert;
138:   PetscBool      skip_node,fully_redundant;
139:   PetscInt       i,j,k,s,n_boundary_dofs,n_global_lambda,n_vertices,partial_sum;
140:   PetscInt       cum,n_local_lambda,n_lambda_for_dof,dual_size,n_neg_values,n_pos_values;
141:   PetscMPIInt    rank,size,buf_size,neigh;
142:   PetscScalar    scalar_value;
143:   const PetscInt *vertex_indices;
144:   PetscInt       *dual_dofs_boundary_indices,*aux_local_numbering_1;
145:   const PetscInt *aux_global_numbering;
146:   PetscInt       *aux_sums,*cols_B_delta,*l2g_indices;
147:   PetscScalar    *array,*scaling_factors,*vals_B_delta;
148:   PetscScalar    **all_factors;
149:   PetscInt       *aux_local_numbering_2;
150:   PetscLayout    llay;

152:   /* saddlepoint */
153:   ISLocalToGlobalMapping l2gmap_p;
154:   PetscLayout            play;
155:   IS                     gP,pP;
156:   PetscInt               nPl,nPg,nPgl;

159:   PetscObjectGetComm((PetscObject)(fetidpmat_ctx->pc),&comm);
160:   MPI_Comm_rank(comm,&rank);
161:   MPI_Comm_size(comm,&size);

163:   /* saddlepoint */
164:   nPl      = 0;
165:   nPg      = 0;
166:   nPgl     = 0;
167:   gP       = NULL;
168:   pP       = NULL;
169:   l2gmap_p = NULL;
170:   play     = NULL;
171:   PetscObjectQuery((PetscObject)fetidpmat_ctx->pc,"__KSPFETIDP_pP",(PetscObject*)&pP);
172:   if (pP) { /* saddle point */
173:     /* subdomain pressures in global numbering */
174:     PetscObjectQuery((PetscObject)fetidpmat_ctx->pc,"__KSPFETIDP_gP",(PetscObject*)&gP);
175:     if (!gP) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"gP not present");
176:     ISGetLocalSize(gP,&nPl);
177:     VecCreate(PETSC_COMM_SELF,&fetidpmat_ctx->vP);
178:     VecSetSizes(fetidpmat_ctx->vP,nPl,nPl);
179:     VecSetType(fetidpmat_ctx->vP,VECSTANDARD);
180:     VecSetUp(fetidpmat_ctx->vP);

182:     /* pressure matrix */
183:     PetscObjectQuery((PetscObject)fetidpmat_ctx->pc,"__KSPFETIDP_C",(PetscObject*)&fetidpmat_ctx->C);
184:     if (!fetidpmat_ctx->C) { /* null pressure block, compute layout and global numbering for pressures */
185:       IS Pg;

187:       ISRenumber(gP,NULL,&nPg,&Pg);
188:       ISLocalToGlobalMappingCreateIS(Pg,&l2gmap_p);
189:       ISDestroy(&Pg);
190:       PetscLayoutCreate(comm,&play);
191:       PetscLayoutSetBlockSize(play,1);
192:       PetscLayoutSetSize(play,nPg);
193:       ISGetLocalSize(pP,&nPgl);
194:       PetscLayoutSetLocalSize(play,nPgl);
195:       PetscLayoutSetUp(play);
196:     } else {
197:       PetscObjectReference((PetscObject)fetidpmat_ctx->C);
198:       MatGetLocalToGlobalMapping(fetidpmat_ctx->C,&l2gmap_p,NULL);
199:       PetscObjectReference((PetscObject)l2gmap_p);
200:       MatGetSize(fetidpmat_ctx->C,&nPg,NULL);
201:       MatGetLocalSize(fetidpmat_ctx->C,NULL,&nPgl);
202:       MatGetLayouts(fetidpmat_ctx->C,NULL,&llay);
203:       PetscLayoutReference(llay,&play);
204:     }
205:     VecCreateMPIWithArray(comm,1,nPgl,nPg,NULL,&fetidpmat_ctx->xPg);
206:     VecCreateMPIWithArray(comm,1,nPgl,nPg,NULL,&fetidpmat_ctx->yPg);

208:     /* import matrices for pressures coupling */
209:     PetscObjectQuery((PetscObject)fetidpmat_ctx->pc,"__KSPFETIDP_B_BI",(PetscObject*)&fetidpmat_ctx->B_BI);
210:     if (!fetidpmat_ctx->B_BI) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"B_BI not present");
211:     PetscObjectReference((PetscObject)fetidpmat_ctx->B_BI);

213:     PetscObjectQuery((PetscObject)fetidpmat_ctx->pc,"__KSPFETIDP_B_BB",(PetscObject*)&fetidpmat_ctx->B_BB);
214:     if (!fetidpmat_ctx->B_BB) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"B_BB not present");
215:     PetscObjectReference((PetscObject)fetidpmat_ctx->B_BB);

217:     PetscObjectQuery((PetscObject)fetidpmat_ctx->pc,"__KSPFETIDP_Bt_BI",(PetscObject*)&fetidpmat_ctx->Bt_BI);
218:     if (!fetidpmat_ctx->Bt_BI) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Bt_BI not present");
219:     PetscObjectReference((PetscObject)fetidpmat_ctx->Bt_BI);

221:     PetscObjectQuery((PetscObject)fetidpmat_ctx->pc,"__KSPFETIDP_Bt_BB",(PetscObject*)&fetidpmat_ctx->Bt_BB);
222:     if (!fetidpmat_ctx->Bt_BB) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Bt_BB not present");
223:     PetscObjectReference((PetscObject)fetidpmat_ctx->Bt_BB);

225:     PetscObjectQuery((PetscObject)fetidpmat_ctx->pc,"__KSPFETIDP_flip" ,(PetscObject*)&fetidpmat_ctx->rhs_flip);
226:     if (fetidpmat_ctx->rhs_flip) {
227:       PetscObjectReference((PetscObject)fetidpmat_ctx->rhs_flip);
228:     }
229:   }

231:   /* Default type of lagrange multipliers is non-redundant */
232:   fully_redundant = fetidpmat_ctx->fully_redundant;

234:   /* Evaluate local and global number of lagrange multipliers */
235:   VecSet(pcis->vec1_N,0.0);
236:   n_local_lambda = 0;
237:   partial_sum = 0;
238:   n_boundary_dofs = 0;
239:   s = 0;

241:   /* Get Vertices used to define the BDDC */
242:   PCBDDCGraphGetCandidatesIS(pcbddc->mat_graph,NULL,NULL,NULL,NULL,&isvert);
243:   ISGetLocalSize(isvert,&n_vertices);
244:   ISGetIndices(isvert,&vertex_indices);

246:   dual_size = pcis->n_B-n_vertices;
247:   PetscMalloc1(dual_size,&dual_dofs_boundary_indices);
248:   PetscMalloc1(dual_size,&aux_local_numbering_1);
249:   PetscMalloc1(dual_size,&aux_local_numbering_2);

251:   VecGetArray(pcis->vec1_N,&array);
252:   for (i=0;i<pcis->n;i++){
253:     j = mat_graph->count[i]; /* RECALL: mat_graph->count[i] does not count myself */
254:     if (j > 0) n_boundary_dofs++;
255:     skip_node = PETSC_FALSE;
256:     if (s < n_vertices && vertex_indices[s] == i) { /* it works for a sorted set of vertices */
257:       skip_node = PETSC_TRUE;
258:       s++;
259:     }
260:     if (j < 1) skip_node = PETSC_TRUE;
261:     if (mat_graph->special_dof[i] == PCBDDCGRAPH_DIRICHLET_MARK) skip_node = PETSC_TRUE;
262:     if (!skip_node) {
263:       if (fully_redundant) {
264:         /* fully redundant set of lagrange multipliers */
265:         n_lambda_for_dof = (j*(j+1))/2;
266:       } else {
267:         n_lambda_for_dof = j;
268:       }
269:       n_local_lambda += j;
270:       /* needed to evaluate global number of lagrange multipliers */
271:       array[i]=(1.0*n_lambda_for_dof)/(j+1.0); /* already scaled for the next global sum */
272:       /* store some data needed */
273:       dual_dofs_boundary_indices[partial_sum] = n_boundary_dofs-1;
274:       aux_local_numbering_1[partial_sum] = i;
275:       aux_local_numbering_2[partial_sum] = n_lambda_for_dof;
276:       partial_sum++;
277:     }
278:   }
279:   VecRestoreArray(pcis->vec1_N,&array);
280:   ISRestoreIndices(isvert,&vertex_indices);
281:   PCBDDCGraphRestoreCandidatesIS(pcbddc->mat_graph,NULL,NULL,NULL,NULL,&isvert);
282:   dual_size = partial_sum;

284:   /* compute global ordering of lagrange multipliers and associate l2g map */
285:   ISCreateGeneral(comm,partial_sum,aux_local_numbering_1,PETSC_COPY_VALUES,&subset_n);
286:   ISLocalToGlobalMappingApplyIS(pcis->mapping,subset_n,&subset);
287:   ISDestroy(&subset_n);
288:   ISCreateGeneral(comm,partial_sum,aux_local_numbering_2,PETSC_OWN_POINTER,&subset_mult);
289:   ISRenumber(subset,subset_mult,&fetidpmat_ctx->n_lambda,&subset_n);
290:   ISDestroy(&subset);

292: #if defined(PETSC_USE_DEBUG)
293:   VecSet(pcis->vec1_global,0.0);
294:   VecScatterBegin(matis->rctx,pcis->vec1_N,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);
295:   VecScatterEnd(matis->rctx,pcis->vec1_N,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);
296:   VecSum(pcis->vec1_global,&scalar_value);
297:   i = (PetscInt)PetscRealPart(scalar_value);
298:   if (i != fetidpmat_ctx->n_lambda) SETERRQ2(PETSC_COMM_WORLD,PETSC_ERR_PLIB,"Global number of multipliers mismatch! (%D != %D)",fetidpmat_ctx->n_lambda,i);
299: #endif

301:   /* init data for scaling factors exchange */
302:   if (!pcbddc->use_deluxe_scaling) {
303:     PetscInt    *ptrs_buffer,neigh_position;
304:     PetscScalar *send_buffer,*recv_buffer;
305:     MPI_Request *send_reqs,*recv_reqs;

307:     partial_sum = 0;
308:     PetscMalloc1(pcis->n_neigh,&ptrs_buffer);
309:     PetscMalloc1(PetscMax(pcis->n_neigh-1,0),&send_reqs);
310:     PetscMalloc1(PetscMax(pcis->n_neigh-1,0),&recv_reqs);
311:     PetscMalloc1(pcis->n+1,&all_factors);
312:     if (pcis->n_neigh > 0) ptrs_buffer[0]=0;
313:     for (i=1;i<pcis->n_neigh;i++) {
314:       partial_sum += pcis->n_shared[i];
315:       ptrs_buffer[i] = ptrs_buffer[i-1]+pcis->n_shared[i];
316:     }
317:     PetscMalloc1(partial_sum,&send_buffer);
318:     PetscMalloc1(partial_sum,&recv_buffer);
319:     PetscMalloc1(partial_sum,&all_factors[0]);
320:     for (i=0;i<pcis->n-1;i++) {
321:       j = mat_graph->count[i];
322:       all_factors[i+1]=all_factors[i]+j;
323:     }

325:     /* scatter B scaling to N vec */
326:     VecScatterBegin(pcis->N_to_B,pcis->D,pcis->vec1_N,INSERT_VALUES,SCATTER_REVERSE);
327:     VecScatterEnd(pcis->N_to_B,pcis->D,pcis->vec1_N,INSERT_VALUES,SCATTER_REVERSE);
328:     /* communications */
329:     VecGetArrayRead(pcis->vec1_N,(const PetscScalar**)&array);
330:     for (i=1;i<pcis->n_neigh;i++) {
331:       for (j=0;j<pcis->n_shared[i];j++) {
332:         send_buffer[ptrs_buffer[i-1]+j]=array[pcis->shared[i][j]];
333:       }
334:       PetscMPIIntCast(ptrs_buffer[i]-ptrs_buffer[i-1],&buf_size);
335:       PetscMPIIntCast(pcis->neigh[i],&neigh);
336:       MPI_Isend(&send_buffer[ptrs_buffer[i-1]],buf_size,MPIU_SCALAR,neigh,0,comm,&send_reqs[i-1]);
337:       MPI_Irecv(&recv_buffer[ptrs_buffer[i-1]],buf_size,MPIU_SCALAR,neigh,0,comm,&recv_reqs[i-1]);
338:     }
339:     VecRestoreArrayRead(pcis->vec1_N,(const PetscScalar**)&array);
340:     if (pcis->n_neigh > 0) {
341:       MPI_Waitall(pcis->n_neigh-1,recv_reqs,MPI_STATUSES_IGNORE);
342:     }
343:     /* put values in correct places */
344:     for (i=1;i<pcis->n_neigh;i++) {
345:       for (j=0;j<pcis->n_shared[i];j++) {
346:         k = pcis->shared[i][j];
347:         neigh_position = 0;
348:         while(mat_graph->neighbours_set[k][neigh_position] != pcis->neigh[i]) {neigh_position++;}
349:         all_factors[k][neigh_position]=recv_buffer[ptrs_buffer[i-1]+j];
350:       }
351:     }
352:     if (pcis->n_neigh > 0) {
353:       MPI_Waitall(pcis->n_neigh-1,send_reqs,MPI_STATUSES_IGNORE);
354:     }
355:     PetscFree(send_reqs);
356:     PetscFree(recv_reqs);
357:     PetscFree(send_buffer);
358:     PetscFree(recv_buffer);
359:     PetscFree(ptrs_buffer);
360:   }

362:   /* Compute B and B_delta (local actions) */
363:   PetscMalloc1(pcis->n_neigh,&aux_sums);
364:   PetscMalloc1(n_local_lambda,&l2g_indices);
365:   PetscMalloc1(n_local_lambda,&vals_B_delta);
366:   PetscMalloc1(n_local_lambda,&cols_B_delta);
367:   if (!pcbddc->use_deluxe_scaling) {
368:     PetscMalloc1(n_local_lambda,&scaling_factors);
369:   } else {
370:     scaling_factors = NULL;
371:     all_factors     = NULL;
372:   }
373:   ISGetIndices(subset_n,&aux_global_numbering);
374:   partial_sum=0;
375:   cum = 0;
376:   for (i=0;i<dual_size;i++) {
377:     n_global_lambda = aux_global_numbering[cum];
378:     j = mat_graph->count[aux_local_numbering_1[i]];
379:     aux_sums[0]=0;
380:     for (s=1;s<j;s++) {
381:       aux_sums[s]=aux_sums[s-1]+j-s+1;
382:     }
383:     if (all_factors) array = all_factors[aux_local_numbering_1[i]];
384:     n_neg_values = 0;
385:     while(n_neg_values < j && mat_graph->neighbours_set[aux_local_numbering_1[i]][n_neg_values] < rank) {n_neg_values++;}
386:     n_pos_values = j - n_neg_values;
387:     if (fully_redundant) {
388:       for (s=0;s<n_neg_values;s++) {
389:         l2g_indices    [partial_sum+s]=aux_sums[s]+n_neg_values-s-1+n_global_lambda;
390:         cols_B_delta   [partial_sum+s]=dual_dofs_boundary_indices[i];
391:         vals_B_delta   [partial_sum+s]=-1.0;
392:         if (!pcbddc->use_deluxe_scaling) scaling_factors[partial_sum+s]=array[s];
393:       }
394:       for (s=0;s<n_pos_values;s++) {
395:         l2g_indices    [partial_sum+s+n_neg_values]=aux_sums[n_neg_values]+s+n_global_lambda;
396:         cols_B_delta   [partial_sum+s+n_neg_values]=dual_dofs_boundary_indices[i];
397:         vals_B_delta   [partial_sum+s+n_neg_values]=1.0;
398:         if (!pcbddc->use_deluxe_scaling) scaling_factors[partial_sum+s+n_neg_values]=array[s+n_neg_values];
399:       }
400:       partial_sum += j;
401:     } else {
402:       /* l2g_indices and default cols and vals of B_delta */
403:       for (s=0;s<j;s++) {
404:         l2g_indices    [partial_sum+s]=n_global_lambda+s;
405:         cols_B_delta   [partial_sum+s]=dual_dofs_boundary_indices[i];
406:         vals_B_delta   [partial_sum+s]=0.0;
407:       }
408:       /* B_delta */
409:       if ( n_neg_values > 0 ) { /* there's a rank next to me to the left */
410:         vals_B_delta   [partial_sum+n_neg_values-1]=-1.0;
411:       }
412:       if ( n_neg_values < j ) { /* there's a rank next to me to the right */
413:         vals_B_delta   [partial_sum+n_neg_values]=1.0;
414:       }
415:       /* scaling as in Klawonn-Widlund 1999 */
416:       if (!pcbddc->use_deluxe_scaling) {
417:         for (s=0;s<n_neg_values;s++) {
418:           scalar_value = 0.0;
419:           for (k=0;k<s+1;k++) scalar_value += array[k];
420:           scaling_factors[partial_sum+s] = -scalar_value;
421:         }
422:         for (s=0;s<n_pos_values;s++) {
423:           scalar_value = 0.0;
424:           for (k=s+n_neg_values;k<j;k++) scalar_value += array[k];
425:           scaling_factors[partial_sum+s+n_neg_values] = scalar_value;
426:         }
427:       }
428:       partial_sum += j;
429:     }
430:     cum += aux_local_numbering_2[i];
431:   }
432:   ISRestoreIndices(subset_n,&aux_global_numbering);
433:   ISDestroy(&subset_mult);
434:   ISDestroy(&subset_n);
435:   PetscFree(aux_sums);
436:   PetscFree(aux_local_numbering_1);
437:   PetscFree(dual_dofs_boundary_indices);
438:   if (all_factors) {
439:     PetscFree(all_factors[0]);
440:     PetscFree(all_factors);
441:   }

443:   /* Create local part of B_delta */
444:   MatCreate(PETSC_COMM_SELF,&fetidpmat_ctx->B_delta);
445:   MatSetSizes(fetidpmat_ctx->B_delta,n_local_lambda,pcis->n_B,n_local_lambda,pcis->n_B);
446:   MatSetType(fetidpmat_ctx->B_delta,MATSEQAIJ);
447:   MatSeqAIJSetPreallocation(fetidpmat_ctx->B_delta,1,NULL);
448:   MatSetOption(fetidpmat_ctx->B_delta,MAT_IGNORE_ZERO_ENTRIES,PETSC_TRUE);
449:   for (i=0;i<n_local_lambda;i++) {
450:     MatSetValue(fetidpmat_ctx->B_delta,i,cols_B_delta[i],vals_B_delta[i],INSERT_VALUES);
451:   }
452:   PetscFree(vals_B_delta);
453:   MatAssemblyBegin(fetidpmat_ctx->B_delta,MAT_FINAL_ASSEMBLY);
454:   MatAssemblyEnd(fetidpmat_ctx->B_delta,MAT_FINAL_ASSEMBLY);

456:   BD1 = NULL;
457:   BD2 = NULL;
458:   if (fully_redundant) {
459:     if (pcbddc->use_deluxe_scaling) SETERRQ(comm,PETSC_ERR_SUP,"Deluxe FETIDP with fully-redundant multipliers to be implemented");
460:     MatCreate(PETSC_COMM_SELF,&ScalingMat);
461:     MatSetSizes(ScalingMat,n_local_lambda,n_local_lambda,n_local_lambda,n_local_lambda);
462:     MatSetType(ScalingMat,MATSEQAIJ);
463:     MatSeqAIJSetPreallocation(ScalingMat,1,NULL);
464:     for (i=0;i<n_local_lambda;i++) {
465:       MatSetValue(ScalingMat,i,i,scaling_factors[i],INSERT_VALUES);
466:     }
467:     MatAssemblyBegin(ScalingMat,MAT_FINAL_ASSEMBLY);
468:     MatAssemblyEnd(ScalingMat,MAT_FINAL_ASSEMBLY);
469:     MatMatMult(ScalingMat,fetidpmat_ctx->B_delta,MAT_INITIAL_MATRIX,PETSC_DEFAULT,&fetidpmat_ctx->B_Ddelta);
470:     MatDestroy(&ScalingMat);
471:   } else {
472:     MatCreate(PETSC_COMM_SELF,&fetidpmat_ctx->B_Ddelta);
473:     MatSetSizes(fetidpmat_ctx->B_Ddelta,n_local_lambda,pcis->n_B,n_local_lambda,pcis->n_B);
474:     if (!pcbddc->use_deluxe_scaling || !pcbddc->sub_schurs) {
475:       MatSetType(fetidpmat_ctx->B_Ddelta,MATSEQAIJ);
476:       MatSeqAIJSetPreallocation(fetidpmat_ctx->B_Ddelta,1,NULL);
477:       for (i=0;i<n_local_lambda;i++) {
478:         MatSetValue(fetidpmat_ctx->B_Ddelta,i,cols_B_delta[i],scaling_factors[i],INSERT_VALUES);
479:       }
480:       MatAssemblyBegin(fetidpmat_ctx->B_Ddelta,MAT_FINAL_ASSEMBLY);
481:       MatAssemblyEnd(fetidpmat_ctx->B_Ddelta,MAT_FINAL_ASSEMBLY);
482:     } else {
483:       /* scaling as in Klawonn-Widlund 1999 */
484:       PCBDDCDeluxeScaling deluxe_ctx = pcbddc->deluxe_ctx;
485:       PCBDDCSubSchurs     sub_schurs = pcbddc->sub_schurs;
486:       Mat                 T;
487:       PetscScalar         *W,lwork,*Bwork;
488:       const PetscInt      *idxs = NULL;
489:       PetscInt            cum,mss,*nnz;
490:       PetscBLASInt        *pivots,B_lwork,B_N,B_ierr;

492:       if (!pcbddc->deluxe_singlemat) SETERRQ(comm,PETSC_ERR_USER,"Cannot compute B_Ddelta! rerun with -pc_bddc_deluxe_singlemat");
493:       mss  = 0;
494:       PetscCalloc1(pcis->n_B,&nnz);
495:       if (sub_schurs->is_Ej_all) {
496:         ISGetIndices(sub_schurs->is_Ej_all,&idxs);
497:         for (i=0,cum=0;i<sub_schurs->n_subs;i++) {
498:           PetscInt subset_size;

500:           ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);
501:           for (j=0;j<subset_size;j++) nnz[idxs[j+cum]] = subset_size;
502:           mss  = PetscMax(mss,subset_size);
503:           cum += subset_size;
504:         }
505:       }
506:       MatCreate(PETSC_COMM_SELF,&T);
507:       MatSetSizes(T,pcis->n_B,pcis->n_B,pcis->n_B,pcis->n_B);
508:       MatSetType(T,MATSEQAIJ);
509:       MatSeqAIJSetPreallocation(T,0,nnz);
510:       PetscFree(nnz);

512:       /* workspace allocation */
513:       B_lwork = 0;
514:       if (mss) {
515:         PetscScalar dummy = 1;

517:         B_lwork = -1;
518:         PetscBLASIntCast(mss,&B_N);
519:         PetscFPTrapPush(PETSC_FP_TRAP_OFF);
520:         PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,&dummy,&B_N,&B_N,&lwork,&B_lwork,&B_ierr));
521:         PetscFPTrapPop();
522:         if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in query to GETRI Lapack routine %d",(int)B_ierr);
523:         PetscBLASIntCast((PetscInt)PetscRealPart(lwork),&B_lwork);
524:       }
525:       PetscMalloc3(mss*mss,&W,mss,&pivots,B_lwork,&Bwork);

527:       for (i=0,cum=0;i<sub_schurs->n_subs;i++) {
528:         PetscScalar  *M;
529:         PetscInt     subset_size;

531:         ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);
532:         PetscBLASIntCast(subset_size,&B_N);
533:         MatDenseGetArray(deluxe_ctx->seq_mat[i],&M);
534:         PetscMemcpy(W,M,subset_size*subset_size*sizeof(PetscScalar));
535:         MatDenseRestoreArray(deluxe_ctx->seq_mat[i],&M);
536:         PetscFPTrapPush(PETSC_FP_TRAP_OFF);
537:         PetscStackCallBLAS("LAPACKgetrf",LAPACKgetrf_(&B_N,&B_N,W,&B_N,pivots,&B_ierr));
538:         if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRF Lapack routine %d",(int)B_ierr);
539:         PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,W,&B_N,pivots,Bwork,&B_lwork,&B_ierr));
540:         if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRI Lapack routine %d",(int)B_ierr);
541:         PetscFPTrapPop();
542:         /* silent static analyzer */
543:         if (!idxs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"IDXS not present");
544:         MatSetValues(T,subset_size,idxs+cum,subset_size,idxs+cum,W,INSERT_VALUES);
545:         cum += subset_size;
546:       }
547:       MatAssemblyBegin(T,MAT_FINAL_ASSEMBLY);
548:       MatAssemblyEnd(T,MAT_FINAL_ASSEMBLY);
549:       MatMatTransposeMult(T,fetidpmat_ctx->B_delta,MAT_INITIAL_MATRIX,PETSC_DEFAULT,&BD1);
550:       MatMatMult(fetidpmat_ctx->B_delta,BD1,MAT_INITIAL_MATRIX,PETSC_DEFAULT,&BD2);
551:       MatDestroy(&T);
552:       PetscFree3(W,pivots,Bwork);
553:       if (sub_schurs->is_Ej_all) {
554:         ISRestoreIndices(sub_schurs->is_Ej_all,&idxs);
555:       }
556:     }
557:   }
558:   PetscFree(scaling_factors);
559:   PetscFree(cols_B_delta);

561:   /* Layout of multipliers */
562:   PetscLayoutCreate(comm,&llay);
563:   PetscLayoutSetBlockSize(llay,1);
564:   PetscLayoutSetSize(llay,fetidpmat_ctx->n_lambda);
565:   PetscLayoutSetUp(llay);
566:   PetscLayoutGetLocalSize(llay,&fetidpmat_ctx->n);

568:   /* Local work vector of multipliers */
569:   VecCreate(PETSC_COMM_SELF,&fetidpmat_ctx->lambda_local);
570:   VecSetSizes(fetidpmat_ctx->lambda_local,n_local_lambda,n_local_lambda);
571:   VecSetType(fetidpmat_ctx->lambda_local,VECSEQ);

573:   if (BD2) {
574:     ISLocalToGlobalMapping l2g;
575:     Mat                    T,TA,*pT;
576:     IS                     is;
577:     PetscInt               nl,N;
578:     BDdelta_DN             ctx;

580:     PetscLayoutGetLocalSize(llay,&nl);
581:     PetscLayoutGetSize(llay,&N);
582:     MatCreate(comm,&T);
583:     MatSetSizes(T,nl,nl,N,N);
584:     MatSetType(T,MATIS);
585:     ISLocalToGlobalMappingCreate(comm,1,n_local_lambda,l2g_indices,PETSC_COPY_VALUES,&l2g);
586:     MatSetLocalToGlobalMapping(T,l2g,l2g);
587:     ISLocalToGlobalMappingDestroy(&l2g);
588:     MatISSetLocalMat(T,BD2);
589:     MatAssemblyBegin(T,MAT_FINAL_ASSEMBLY);
590:     MatAssemblyEnd(T,MAT_FINAL_ASSEMBLY);
591:     MatDestroy(&BD2);
592:     MatConvert(T,MATAIJ,MAT_INITIAL_MATRIX,&TA);
593:     MatDestroy(&T);
594:     ISCreateGeneral(comm,n_local_lambda,l2g_indices,PETSC_USE_POINTER,&is);
595:     MatCreateSubMatrices(TA,1,&is,&is,MAT_INITIAL_MATRIX,&pT);
596:     MatDestroy(&TA);
597:     ISDestroy(&is);
598:     BD2  = pT[0];
599:     PetscFree(pT);

601:     /* B_Ddelta for non-redundant multipliers with deluxe scaling */
602:     PetscNew(&ctx);
603:     MatSetType(fetidpmat_ctx->B_Ddelta,MATSHELL);
604:     MatShellSetContext(fetidpmat_ctx->B_Ddelta,(void *)ctx);
605:     MatShellSetOperation(fetidpmat_ctx->B_Ddelta,MATOP_MULT,(void (*)(void))MatMult_BDdelta_deluxe_nonred);
606:     MatShellSetOperation(fetidpmat_ctx->B_Ddelta,MATOP_MULT_TRANSPOSE,(void (*)(void))MatMultTranspose_BDdelta_deluxe_nonred);
607:     MatShellSetOperation(fetidpmat_ctx->B_Ddelta,MATOP_DESTROY,(void (*)(void))MatDestroy_BDdelta_deluxe_nonred);
608:     MatSetUp(fetidpmat_ctx->B_Ddelta);

610:     PetscObjectReference((PetscObject)BD1);
611:     ctx->BD = BD1;
612:     KSPCreate(PETSC_COMM_SELF,&ctx->kBD);
613:     KSPSetOperators(ctx->kBD,BD2,BD2);
614:     VecDuplicate(fetidpmat_ctx->lambda_local,&ctx->work);
615:     fetidpmat_ctx->deluxe_nonred = PETSC_TRUE;
616:   }
617:   MatDestroy(&BD1);
618:   MatDestroy(&BD2);

620:   /* fetidpmat sizes */
621:   fetidpmat_ctx->n += nPgl;
622:   fetidpmat_ctx->N  = fetidpmat_ctx->n_lambda+nPg;

624:   /* Global vector for FETI-DP linear system */
625:   VecCreate(comm,&fetidp_global);
626:   VecSetSizes(fetidp_global,fetidpmat_ctx->n,fetidpmat_ctx->N);
627:   VecSetType(fetidp_global,VECMPI);
628:   VecSetUp(fetidp_global);

630:   /* Decide layout for fetidp dofs: if it is a saddle point problem
631:      pressure is ordered first in the local part of the global vector
632:      of the FETI-DP linear system */
633:   if (nPg) {
634:     Vec            v;
635:     IS             IS_l2g_p,ais;
636:     PetscLayout    alay;
637:     const PetscInt *idxs,*pranges,*aranges,*lranges;
638:     PetscInt       *l2g_indices_p,rst;
639:     PetscMPIInt    rank;

641:     PetscMalloc1(nPl,&l2g_indices_p);
642:     VecGetLayout(fetidp_global,&alay);
643:     PetscLayoutGetRanges(alay,&aranges);
644:     PetscLayoutGetRanges(play,&pranges);
645:     PetscLayoutGetRanges(llay,&lranges);

647:     MPI_Comm_rank(PetscObjectComm((PetscObject)fetidp_global),&rank);
648:     ISCreateStride(PetscObjectComm((PetscObject)fetidp_global),pranges[rank+1]-pranges[rank],aranges[rank],1,&fetidpmat_ctx->pressure);
649:     PetscObjectSetName((PetscObject)fetidpmat_ctx->pressure,"F_P");
650:     ISCreateStride(PetscObjectComm((PetscObject)fetidp_global),lranges[rank+1]-lranges[rank],aranges[rank]+pranges[rank+1]-pranges[rank],1,&fetidpmat_ctx->lagrange);
651:     PetscObjectSetName((PetscObject)fetidpmat_ctx->lagrange,"F_L");
652:     ISLocalToGlobalMappingGetIndices(l2gmap_p,&idxs);
653:     /* shift local to global indices for pressure */
654:     for (i=0;i<nPl;i++) {
655:       PetscInt owner;

657:       PetscLayoutFindOwner(play,idxs[i],&owner);
658:       l2g_indices_p[i] = idxs[i]-pranges[owner]+aranges[owner];
659:     }
660:     ISLocalToGlobalMappingRestoreIndices(l2gmap_p,&idxs);
661:     ISCreateGeneral(comm,nPl,l2g_indices_p,PETSC_OWN_POINTER,&IS_l2g_p);

663:     /* local to global scatter for pressure */
664:     VecScatterCreate(fetidpmat_ctx->vP,NULL,fetidp_global,IS_l2g_p,&fetidpmat_ctx->l2g_p);
665:     ISDestroy(&IS_l2g_p);

667:     /* scatter for lagrange multipliers only */
668:     VecCreate(comm,&v);
669:     VecSetType(v,VECSTANDARD);
670:     VecSetLayout(v,llay);
671:     VecSetUp(v);
672:     ISCreateGeneral(comm,n_local_lambda,l2g_indices,PETSC_COPY_VALUES,&ais);
673:     VecScatterCreate(fetidpmat_ctx->lambda_local,NULL,v,ais,&fetidpmat_ctx->l2g_lambda_only);
674:     ISDestroy(&ais);
675:     VecDestroy(&v);

677:     /* shift local to global indices for multipliers */
678:     for (i=0;i<n_local_lambda;i++) {
679:       PetscInt owner,ps;

681:       PetscLayoutFindOwner(llay,l2g_indices[i],&owner);
682:       ps = pranges[owner+1]-pranges[owner];
683:       l2g_indices[i] = l2g_indices[i]-lranges[owner]+aranges[owner]+ps;
684:     }

686:     /* scatter from alldofs to pressures global fetidp vector */
687:     PetscLayoutGetRange(alay,&rst,NULL);
688:     ISCreateStride(comm,nPgl,rst,1,&ais);
689:     VecScatterCreate(pcis->vec1_global,pP,fetidp_global,ais,&fetidpmat_ctx->g2g_p);
690:     ISDestroy(&ais);
691:   }
692:   PetscLayoutDestroy(&llay);
693:   PetscLayoutDestroy(&play);
694:   ISCreateGeneral(comm,n_local_lambda,l2g_indices,PETSC_OWN_POINTER,&IS_l2g_lambda);

696:   /* scatter from local to global multipliers */
697:   VecScatterCreate(fetidpmat_ctx->lambda_local,NULL,fetidp_global,IS_l2g_lambda,&fetidpmat_ctx->l2g_lambda);
698:   ISDestroy(&IS_l2g_lambda);
699:   ISLocalToGlobalMappingDestroy(&l2gmap_p);
700:   VecDestroy(&fetidp_global);

702:   /* Create some work vectors needed by fetidp */
703:   VecDuplicate(pcis->vec1_B,&fetidpmat_ctx->temp_solution_B);
704:   VecDuplicate(pcis->vec1_D,&fetidpmat_ctx->temp_solution_D);
705:   return(0);
706: }


709: PetscErrorCode PCBDDCSetupFETIDPPCContext(Mat fetimat, FETIDPPC_ctx fetidppc_ctx)
710: {
711:   FETIDPMat_ctx  mat_ctx;
712:   PC_BDDC        *pcbddc = (PC_BDDC*)fetidppc_ctx->pc->data;
713:   PC_IS          *pcis = (PC_IS*)fetidppc_ctx->pc->data;
714:   PetscBool      lumped = PETSC_FALSE;

718:   MatShellGetContext(fetimat,(void**)&mat_ctx);
719:   /* get references from objects created when setting up feti mat context */
720:   PetscObjectReference((PetscObject)mat_ctx->lambda_local);
721:   fetidppc_ctx->lambda_local = mat_ctx->lambda_local;
722:   PetscObjectReference((PetscObject)mat_ctx->B_Ddelta);
723:   fetidppc_ctx->B_Ddelta = mat_ctx->B_Ddelta;
724:   if (mat_ctx->deluxe_nonred) {
725:     PC               pc,mpc;
726:     BDdelta_DN       ctx;
727:     MatSolverType    solver;
728:     const char       *prefix;

730:     MatShellGetContext(mat_ctx->B_Ddelta,&ctx);
731:     KSPSetType(ctx->kBD,KSPPREONLY);
732:     KSPGetPC(ctx->kBD,&mpc);
733:     KSPGetPC(pcbddc->ksp_D,&pc);
734:     PCSetType(mpc,PCLU);
735:     PCFactorGetMatSolverType(pc,(MatSolverType*)&solver);
736:     if (solver) {
737:       PCFactorSetMatSolverType(mpc,solver);
738:     }
739:     MatGetOptionsPrefix(fetimat,&prefix);
740:     KSPSetOptionsPrefix(ctx->kBD,prefix);
741:     KSPAppendOptionsPrefix(ctx->kBD,"bddelta_");
742:     KSPSetFromOptions(ctx->kBD);
743:   }

745:   if (mat_ctx->l2g_lambda_only) {
746:     PetscObjectReference((PetscObject)mat_ctx->l2g_lambda_only);
747:     fetidppc_ctx->l2g_lambda = mat_ctx->l2g_lambda_only;
748:   } else {
749:     PetscObjectReference((PetscObject)mat_ctx->l2g_lambda);
750:     fetidppc_ctx->l2g_lambda = mat_ctx->l2g_lambda;
751:   }
752:   /* Dirichlet preconditioner */
753:   PetscOptionsGetBool(NULL,((PetscObject)fetimat)->prefix,"-pc_lumped",&lumped,NULL);
754:   if (!lumped) {
755:     IS        iV;
756:     PetscBool discrete_harmonic = PETSC_FALSE;

758:     PetscObjectQuery((PetscObject)fetidppc_ctx->pc,"__KSPFETIDP_iV",(PetscObject*)&iV);
759:     if (iV) {
760:       PetscOptionsGetBool(NULL,((PetscObject)fetimat)->prefix,"-pc_discrete_harmonic",&discrete_harmonic,NULL);
761:     }
762:     if (discrete_harmonic) {
763:       KSP             sksp;
764:       PC              pc;
765:       PCBDDCSubSchurs sub_schurs = pcbddc->sub_schurs;
766:       Mat             A_II,A_IB,A_BI;
767:       IS              iP = NULL;
768:       PetscBool       isshell,reuse = PETSC_FALSE;
769:       KSPType         ksptype;
770:       const char      *prefix;

772:       /*
773:         We constructs a Schur complement for

775:         | A_II A_ID |
776:         | A_DI A_DD |

778:         instead of

780:         | A_II  B^t_II A_ID |
781:         | B_II -C_II   B_ID |
782:         | A_DI  B^t_ID A_DD |

784:       */
785:       if (sub_schurs && sub_schurs->reuse_solver) {
786:         PetscObjectQuery((PetscObject)sub_schurs->A,"__KSPFETIDP_iP",(PetscObject*)&iP);
787:         if (iP) reuse = PETSC_TRUE;
788:       }
789:       if (!reuse) {
790:         IS       aB;
791:         PetscInt nb;
792:         ISGetLocalSize(pcis->is_B_local,&nb);
793:         ISCreateStride(PetscObjectComm((PetscObject)pcis->A_II),nb,0,1,&aB);
794:         MatCreateSubMatrix(pcis->A_II,iV,iV,MAT_INITIAL_MATRIX,&A_II);
795:         MatCreateSubMatrix(pcis->A_IB,iV,aB,MAT_INITIAL_MATRIX,&A_IB);
796:         MatCreateSubMatrix(pcis->A_BI,aB,iV,MAT_INITIAL_MATRIX,&A_BI);
797:         ISDestroy(&aB);
798:       } else {
799:         MatCreateSubMatrix(sub_schurs->A,pcis->is_I_local,pcis->is_B_local,MAT_INITIAL_MATRIX,&A_IB);
800:         MatCreateSubMatrix(sub_schurs->A,pcis->is_B_local,pcis->is_I_local,MAT_INITIAL_MATRIX,&A_BI);
801:         PetscObjectReference((PetscObject)pcis->A_II);
802:         A_II = pcis->A_II;
803:       }
804:       MatCreateSchurComplement(A_II,A_II,A_IB,A_BI,pcis->A_BB,&fetidppc_ctx->S_j);

806:       /* propagate settings of solver */
807:       MatSchurComplementGetKSP(fetidppc_ctx->S_j,&sksp);
808:       KSPGetType(pcis->ksp_D,&ksptype);
809:       KSPSetType(sksp,ksptype);
810:       KSPGetPC(pcis->ksp_D,&pc);
811:       PetscObjectTypeCompare((PetscObject)pc,PCSHELL,&isshell);
812:       if (!isshell) {
813:         MatSolverType    solver;
814:         PCType           pctype;

816:         PCGetType(pc,&pctype);
817:         PCFactorGetMatSolverType(pc,(MatSolverType*)&solver);
818:         KSPGetPC(sksp,&pc);
819:         PCSetType(pc,pctype);
820:         if (solver) {
821:           PCFactorSetMatSolverType(pc,solver);
822:         }
823:       } else {
824:         KSPGetPC(sksp,&pc);
825:         PCSetType(pc,PCLU);
826:       }
827:       MatDestroy(&A_II);
828:       MatDestroy(&A_IB);
829:       MatDestroy(&A_BI);
830:       MatGetOptionsPrefix(fetimat,&prefix);
831:       KSPSetOptionsPrefix(sksp,prefix);
832:       KSPAppendOptionsPrefix(sksp,"harmonic_");
833:       KSPSetFromOptions(sksp);
834:       if (reuse) {
835:         KSPSetPC(sksp,sub_schurs->reuse_solver->interior_solver);
836:         PetscObjectIncrementTabLevel((PetscObject)sub_schurs->reuse_solver->interior_solver,(PetscObject)sksp,0);
837:       }
838:     } else { /* default Dirichlet preconditioner is pde-harmonic */
839:       MatCreateSchurComplement(pcis->A_II,pcis->A_II,pcis->A_IB,pcis->A_BI,pcis->A_BB,&fetidppc_ctx->S_j);
840:       MatSchurComplementSetKSP(fetidppc_ctx->S_j,pcis->ksp_D);
841:     }
842:   } else {
843:     PetscObjectReference((PetscObject)pcis->A_BB);
844:     fetidppc_ctx->S_j = pcis->A_BB;
845:   }
846:   /* saddle-point */
847:   if (mat_ctx->xPg) {
848:     PetscObjectReference((PetscObject)mat_ctx->xPg);
849:     fetidppc_ctx->xPg = mat_ctx->xPg;
850:     PetscObjectReference((PetscObject)mat_ctx->yPg);
851:     fetidppc_ctx->yPg = mat_ctx->yPg;
852:   }
853:   return(0);
854: }

856: PetscErrorCode FETIDPMatMult_Kernel(Mat fetimat, Vec x, Vec y, PetscBool trans)
857: {
858:   FETIDPMat_ctx  mat_ctx;
859:   PC_BDDC        *pcbddc;
860:   PC_IS          *pcis;

864:   MatShellGetContext(fetimat,(void**)&mat_ctx);
865:   pcis = (PC_IS*)mat_ctx->pc->data;
866:   pcbddc = (PC_BDDC*)mat_ctx->pc->data;
867:   /* Application of B_delta^T */
868:   VecSet(pcis->vec1_B,0.);
869:   VecScatterBegin(mat_ctx->l2g_lambda,x,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);
870:   VecScatterEnd(mat_ctx->l2g_lambda,x,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);
871:   MatMultTranspose(mat_ctx->B_delta,mat_ctx->lambda_local,pcis->vec1_B);

873:   /* Add contribution from saddle point */
874:   if (mat_ctx->l2g_p) {
875:     VecScatterBegin(mat_ctx->l2g_p,x,mat_ctx->vP,INSERT_VALUES,SCATTER_REVERSE);
876:     VecScatterEnd(mat_ctx->l2g_p,x,mat_ctx->vP,INSERT_VALUES,SCATTER_REVERSE);
877:     if (pcbddc->switch_static) {
878:       if (trans) {
879:         MatMultTranspose(mat_ctx->B_BI,mat_ctx->vP,pcis->vec1_D);
880:       } else {
881:         MatMult(mat_ctx->Bt_BI,mat_ctx->vP,pcis->vec1_D);
882:       }
883:     }
884:     if (trans) {
885:       MatMultTransposeAdd(mat_ctx->B_BB,mat_ctx->vP,pcis->vec1_B,pcis->vec1_B);
886:     } else {
887:       MatMultAdd(mat_ctx->Bt_BB,mat_ctx->vP,pcis->vec1_B,pcis->vec1_B);
888:     }
889:   } else {
890:     if (pcbddc->switch_static) {
891:       VecSet(pcis->vec1_D,0.0);
892:     }
893:   }
894:   /* Application of \widetilde{S}^-1 */
895:   PetscMemzero(pcbddc->benign_p0,pcbddc->benign_n*sizeof(PetscScalar));
896:   PCBDDCApplyInterfacePreconditioner(mat_ctx->pc,trans);
897:   PetscMemzero(pcbddc->benign_p0,pcbddc->benign_n*sizeof(PetscScalar));
898:   VecSet(y,0.0);
899:   /* Application of B_delta */
900:   MatMult(mat_ctx->B_delta,pcis->vec1_B,mat_ctx->lambda_local);
901:   /* Contribution from boundary pressures */
902:   if (mat_ctx->C) {
903:     const PetscScalar *lx;
904:     PetscScalar       *ly;

906:     /* pressure ordered first in the local part of x and y */
907:     VecGetArrayRead(x,&lx);
908:     VecGetArray(y,&ly);
909:     VecPlaceArray(mat_ctx->xPg,lx);
910:     VecPlaceArray(mat_ctx->yPg,ly);
911:     if (trans) {
912:       MatMultTranspose(mat_ctx->C,mat_ctx->xPg,mat_ctx->yPg);
913:     } else {
914:       MatMult(mat_ctx->C,mat_ctx->xPg,mat_ctx->yPg);
915:     }
916:     VecResetArray(mat_ctx->xPg);
917:     VecResetArray(mat_ctx->yPg);
918:     VecRestoreArrayRead(x,&lx);
919:     VecRestoreArray(y,&ly);
920:   }
921:   /* Add contribution from saddle point */
922:   if (mat_ctx->l2g_p) {
923:     if (trans) {
924:       MatMultTranspose(mat_ctx->Bt_BB,pcis->vec1_B,mat_ctx->vP);
925:     } else {
926:       MatMult(mat_ctx->B_BB,pcis->vec1_B,mat_ctx->vP);
927:     }
928:     if (pcbddc->switch_static) {
929:       if (trans) {
930:         MatMultTransposeAdd(mat_ctx->Bt_BI,pcis->vec1_D,mat_ctx->vP,mat_ctx->vP);
931:       } else {
932:         MatMultAdd(mat_ctx->B_BI,pcis->vec1_D,mat_ctx->vP,mat_ctx->vP);
933:       }
934:     }
935:     VecScatterBegin(mat_ctx->l2g_p,mat_ctx->vP,y,ADD_VALUES,SCATTER_FORWARD);
936:     VecScatterEnd(mat_ctx->l2g_p,mat_ctx->vP,y,ADD_VALUES,SCATTER_FORWARD);
937:   }
938:   VecScatterBegin(mat_ctx->l2g_lambda,mat_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);
939:   VecScatterEnd(mat_ctx->l2g_lambda,mat_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);
940:   return(0);
941: }

943: PetscErrorCode FETIDPMatMult(Mat fetimat, Vec x, Vec y)
944: {

948:   FETIDPMatMult_Kernel(fetimat,x,y,PETSC_FALSE);
949:   return(0);
950: }

952: PetscErrorCode FETIDPMatMultTranspose(Mat fetimat, Vec x, Vec y)
953: {

957:   FETIDPMatMult_Kernel(fetimat,x,y,PETSC_TRUE);
958:   return(0);
959: }

961: PetscErrorCode FETIDPPCApply_Kernel(PC fetipc, Vec x, Vec y, PetscBool trans)
962: {
963:   FETIDPPC_ctx   pc_ctx;
964:   PC_IS          *pcis;

968:   PCShellGetContext(fetipc,(void**)&pc_ctx);
969:   pcis = (PC_IS*)pc_ctx->pc->data;
970:   /* Application of B_Ddelta^T */
971:   VecScatterBegin(pc_ctx->l2g_lambda,x,pc_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);
972:   VecScatterEnd(pc_ctx->l2g_lambda,x,pc_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);
973:   VecSet(pcis->vec2_B,0.0);
974:   MatMultTranspose(pc_ctx->B_Ddelta,pc_ctx->lambda_local,pcis->vec2_B);
975:   /* Application of local Schur complement */
976:   if (trans) {
977:     MatMultTranspose(pc_ctx->S_j,pcis->vec2_B,pcis->vec1_B);
978:   } else {
979:     MatMult(pc_ctx->S_j,pcis->vec2_B,pcis->vec1_B);
980:   }
981:   /* Application of B_Ddelta */
982:   MatMult(pc_ctx->B_Ddelta,pcis->vec1_B,pc_ctx->lambda_local);
983:   VecSet(y,0.0);
984:   VecScatterBegin(pc_ctx->l2g_lambda,pc_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);
985:   VecScatterEnd(pc_ctx->l2g_lambda,pc_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);
986:   return(0);
987: }

989: PetscErrorCode FETIDPPCApply(PC pc, Vec x, Vec y)
990: {

994:   FETIDPPCApply_Kernel(pc,x,y,PETSC_FALSE);
995:   return(0);
996: }

998: PetscErrorCode FETIDPPCApplyTranspose(PC pc, Vec x, Vec y)
999: {

1003:   FETIDPPCApply_Kernel(pc,x,y,PETSC_TRUE);
1004:   return(0);
1005: }

1007: PetscErrorCode FETIDPPCView(PC pc, PetscViewer viewer)
1008: {
1009:   FETIDPPC_ctx      pc_ctx;
1010:   PetscBool         iascii;
1011:   PetscViewer       sviewer;
1012:   PetscErrorCode    ierr;

1015:   PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);
1016:   if (iascii) {
1017:     PetscMPIInt rank;
1018:     PetscBool   isschur,isshell;

1020:     PCShellGetContext(pc,(void**)&pc_ctx);
1021:     MPI_Comm_rank(PetscObjectComm((PetscObject)pc),&rank);
1022:     PetscObjectTypeCompare((PetscObject)pc_ctx->S_j,MATSCHURCOMPLEMENT,&isschur);
1023:     if (isschur) {
1024:       PetscViewerASCIIPrintf(viewer,"  Dirichlet preconditioner (just from rank 0)\n");
1025:     } else {
1026:       PetscViewerASCIIPrintf(viewer,"  Lumped preconditioner (just from rank 0)\n");
1027:     }
1028:     PetscViewerGetSubViewer(viewer,PetscObjectComm((PetscObject)pc_ctx->S_j),&sviewer);
1029:     if (!rank) {
1030:       PetscViewerPushFormat(sviewer,PETSC_VIEWER_ASCII_INFO);
1031:       PetscViewerASCIIPushTab(sviewer);
1032:       MatView(pc_ctx->S_j,sviewer);
1033:       PetscViewerASCIIPopTab(sviewer);
1034:       PetscViewerPopFormat(sviewer);
1035:     }
1036:     PetscObjectTypeCompare((PetscObject)pc_ctx->B_Ddelta,MATSHELL,&isshell);
1037:     if (isshell) {
1038:       BDdelta_DN ctx;
1039:       PetscViewerASCIIPrintf(viewer,"  FETI-DP BDdelta: DB^t * (B D^-1 B^t)^-1 for deluxe scaling (just from rank 0)\n");
1040:       MatShellGetContext(pc_ctx->B_Ddelta,&ctx);
1041:       if (!rank) {
1042:         PetscInt tl;

1044:         PetscViewerASCIIGetTab(sviewer,&tl);
1045:         PetscObjectSetTabLevel((PetscObject)ctx->kBD,tl);
1046:         KSPView(ctx->kBD,sviewer);
1047:         PetscViewerPushFormat(sviewer,PETSC_VIEWER_ASCII_INFO);
1048:         MatView(ctx->BD,sviewer);
1049:         PetscViewerPopFormat(sviewer);
1050:       }
1051:     }
1052:     PetscViewerRestoreSubViewer(viewer,PetscObjectComm((PetscObject)pc_ctx->S_j),&sviewer);
1053:     PetscViewerFlush(viewer);
1054:   }
1055:   return(0);
1056: }