Actual source code: bddcfetidp.c

  1: #include <petsc/private/pcbddcimpl.h>
  2: #include <petsc/private/pcbddcprivateimpl.h>
  3: #include <petscblaslapack.h>

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

  9:   PetscFunctionBegin;
 10:   PetscCall(MatShellGetContext(A, &ctx));
 11:   PetscCall(MatMultTranspose(ctx->BD, x, ctx->work));
 12:   PetscCall(KSPSolveTranspose(ctx->kBD, ctx->work, y));
 13:   /* No PC so cannot propagate up failure in KSPSolveTranspose() */
 14:   PetscFunctionReturn(PETSC_SUCCESS);
 15: }

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

 21:   PetscFunctionBegin;
 22:   PetscCall(MatShellGetContext(A, &ctx));
 23:   PetscCall(KSPSolve(ctx->kBD, x, ctx->work));
 24:   /* No PC so cannot propagate up failure in KSPSolve() */
 25:   PetscCall(MatMult(ctx->BD, ctx->work, y));
 26:   PetscFunctionReturn(PETSC_SUCCESS);
 27: }

 29: static PetscErrorCode MatDestroy_BDdelta_deluxe_nonred(Mat A)
 30: {
 31:   BDdelta_DN ctx;

 33:   PetscFunctionBegin;
 34:   PetscCall(MatShellGetContext(A, &ctx));
 35:   PetscCall(MatDestroy(&ctx->BD));
 36:   PetscCall(KSPDestroy(&ctx->kBD));
 37:   PetscCall(VecDestroy(&ctx->work));
 38:   PetscCall(PetscFree(ctx));
 39:   PetscFunctionReturn(PETSC_SUCCESS);
 40: }

 42: PetscErrorCode PCBDDCCreateFETIDPMatContext(PC pc, FETIDPMat_ctx *fetidpmat_ctx)
 43: {
 44:   FETIDPMat_ctx newctx;

 46:   PetscFunctionBegin;
 47:   PetscCall(PetscNew(&newctx));
 48:   /* increase the reference count for BDDC preconditioner */
 49:   PetscCall(PetscObjectReference((PetscObject)pc));
 50:   newctx->pc     = pc;
 51:   *fetidpmat_ctx = newctx;
 52:   PetscFunctionReturn(PETSC_SUCCESS);
 53: }

 55: PetscErrorCode PCBDDCCreateFETIDPPCContext(PC pc, FETIDPPC_ctx *fetidppc_ctx)
 56: {
 57:   FETIDPPC_ctx newctx;

 59:   PetscFunctionBegin;
 60:   PetscCall(PetscNew(&newctx));
 61:   /* increase the reference count for BDDC preconditioner */
 62:   PetscCall(PetscObjectReference((PetscObject)pc));
 63:   newctx->pc    = pc;
 64:   *fetidppc_ctx = newctx;
 65:   PetscFunctionReturn(PETSC_SUCCESS);
 66: }

 68: PetscErrorCode PCBDDCDestroyFETIDPMat(Mat A)
 69: {
 70:   FETIDPMat_ctx mat_ctx;

 72:   PetscFunctionBegin;
 73:   PetscCall(MatShellGetContext(A, &mat_ctx));
 74:   PetscCall(VecDestroy(&mat_ctx->lambda_local));
 75:   PetscCall(VecDestroy(&mat_ctx->temp_solution_D));
 76:   PetscCall(VecDestroy(&mat_ctx->temp_solution_B));
 77:   PetscCall(MatDestroy(&mat_ctx->B_delta));
 78:   PetscCall(MatDestroy(&mat_ctx->B_Ddelta));
 79:   PetscCall(ISDestroy(&mat_ctx->lP_I));
 80:   PetscCall(ISDestroy(&mat_ctx->lP_B));
 81:   PetscCall(MatDestroy(&mat_ctx->B_BB));
 82:   PetscCall(MatDestroy(&mat_ctx->B_BI));
 83:   PetscCall(MatDestroy(&mat_ctx->Bt_BB));
 84:   PetscCall(MatDestroy(&mat_ctx->Bt_BI));
 85:   PetscCall(MatDestroy(&mat_ctx->C));
 86:   PetscCall(VecDestroy(&mat_ctx->rhs_flip));
 87:   PetscCall(VecDestroy(&mat_ctx->vP));
 88:   PetscCall(VecDestroy(&mat_ctx->xPg));
 89:   PetscCall(VecDestroy(&mat_ctx->yPg));
 90:   PetscCall(VecScatterDestroy(&mat_ctx->l2g_lambda));
 91:   PetscCall(VecScatterDestroy(&mat_ctx->l2g_lambda_only));
 92:   PetscCall(VecScatterDestroy(&mat_ctx->l2g_p));
 93:   PetscCall(VecScatterDestroy(&mat_ctx->g2g_p));
 94:   PetscCall(PCDestroy(&mat_ctx->pc)); /* decrease PCBDDC reference count */
 95:   PetscCall(ISDestroy(&mat_ctx->pressure));
 96:   PetscCall(ISDestroy(&mat_ctx->lagrange));
 97:   PetscCall(PetscFree(mat_ctx));
 98:   PetscFunctionReturn(PETSC_SUCCESS);
 99: }

101: PetscErrorCode PCBDDCDestroyFETIDPPC(PC pc)
102: {
103:   FETIDPPC_ctx pc_ctx;

105:   PetscFunctionBegin;
106:   PetscCall(PCShellGetContext(pc, &pc_ctx));
107:   PetscCall(VecDestroy(&pc_ctx->lambda_local));
108:   PetscCall(MatDestroy(&pc_ctx->B_Ddelta));
109:   PetscCall(VecScatterDestroy(&pc_ctx->l2g_lambda));
110:   PetscCall(MatDestroy(&pc_ctx->S_j));
111:   PetscCall(PCDestroy(&pc_ctx->pc)); /* decrease PCBDDC reference count */
112:   PetscCall(VecDestroy(&pc_ctx->xPg));
113:   PetscCall(VecDestroy(&pc_ctx->yPg));
114:   PetscCall(PetscFree(pc_ctx));
115:   PetscFunctionReturn(PETSC_SUCCESS);
116: }

118: PetscErrorCode PCBDDCSetupFETIDPMatContext(FETIDPMat_ctx fetidpmat_ctx)
119: {
120:   PC_IS          *pcis      = (PC_IS *)fetidpmat_ctx->pc->data;
121:   PC_BDDC        *pcbddc    = (PC_BDDC *)fetidpmat_ctx->pc->data;
122:   PCBDDCGraph     mat_graph = pcbddc->mat_graph;
123:   Mat_IS         *matis     = (Mat_IS *)fetidpmat_ctx->pc->pmat->data;
124:   MPI_Comm        comm;
125:   Mat             ScalingMat, BD1, BD2;
126:   Vec             fetidp_global;
127:   IS              IS_l2g_lambda;
128:   IS              subset, subset_mult, subset_n, isvert;
129:   PetscBool       skip_node, fully_redundant;
130:   PetscInt        i, j, k, s, n_boundary_dofs, n_global_lambda, n_vertices, partial_sum;
131:   PetscInt        cum, n_local_lambda, n_lambda_for_dof, dual_size, n_neg_values, n_pos_values, buf_size;
132:   PetscMPIInt     rank, size, neigh;
133:   PetscScalar     scalar_value;
134:   const PetscInt *vertex_indices;
135:   PetscInt       *dual_dofs_boundary_indices, *aux_local_numbering_1;
136:   const PetscInt *aux_global_numbering;
137:   PetscInt       *aux_sums, *cols_B_delta, *l2g_indices;
138:   PetscScalar    *array, *scaling_factors, *vals_B_delta;
139:   PetscScalar   **all_factors;
140:   PetscInt       *aux_local_numbering_2;
141:   PetscInt       *count, **neighbours_set;
142:   PetscLayout     llay;

144:   /* saddlepoint */
145:   ISLocalToGlobalMapping l2gmap_p;
146:   PetscLayout            play;
147:   IS                     gP, pP;
148:   PetscInt               nPl, nPg, nPgl;

150:   PetscFunctionBegin;
151:   PetscCall(PetscObjectGetComm((PetscObject)fetidpmat_ctx->pc, &comm));
152:   PetscCallMPI(MPI_Comm_rank(comm, &rank));
153:   PetscCallMPI(MPI_Comm_size(comm, &size));

155:   /* saddlepoint */
156:   nPl      = 0;
157:   nPg      = 0;
158:   nPgl     = 0;
159:   gP       = NULL;
160:   pP       = NULL;
161:   l2gmap_p = NULL;
162:   play     = NULL;
163:   PetscCall(PetscObjectQuery((PetscObject)fetidpmat_ctx->pc, "__KSPFETIDP_pP", (PetscObject *)&pP));
164:   if (pP) { /* saddle point */
165:     /* subdomain pressures in global numbering */
166:     PetscCall(PetscObjectQuery((PetscObject)fetidpmat_ctx->pc, "__KSPFETIDP_gP", (PetscObject *)&gP));
167:     PetscCheck(gP, PETSC_COMM_SELF, PETSC_ERR_PLIB, "gP not present");
168:     PetscCall(ISGetLocalSize(gP, &nPl));
169:     PetscCall(VecCreate(PETSC_COMM_SELF, &fetidpmat_ctx->vP));
170:     PetscCall(VecSetSizes(fetidpmat_ctx->vP, nPl, nPl));
171:     PetscCall(VecSetType(fetidpmat_ctx->vP, VECSTANDARD));
172:     PetscCall(VecSetUp(fetidpmat_ctx->vP));

174:     /* pressure matrix */
175:     PetscCall(PetscObjectQuery((PetscObject)fetidpmat_ctx->pc, "__KSPFETIDP_C", (PetscObject *)&fetidpmat_ctx->C));
176:     if (!fetidpmat_ctx->C) { /* null pressure block, compute layout and global numbering for pressures */
177:       IS Pg;

179:       PetscCall(ISRenumber(gP, NULL, &nPg, &Pg));
180:       PetscCall(ISLocalToGlobalMappingCreateIS(Pg, &l2gmap_p));
181:       PetscCall(ISDestroy(&Pg));
182:       PetscCall(PetscLayoutCreate(comm, &play));
183:       PetscCall(PetscLayoutSetBlockSize(play, 1));
184:       PetscCall(PetscLayoutSetSize(play, nPg));
185:       PetscCall(ISGetLocalSize(pP, &nPgl));
186:       PetscCall(PetscLayoutSetLocalSize(play, nPgl));
187:       PetscCall(PetscLayoutSetUp(play));
188:     } else {
189:       PetscCall(PetscObjectReference((PetscObject)fetidpmat_ctx->C));
190:       PetscCall(MatISGetLocalToGlobalMapping(fetidpmat_ctx->C, &l2gmap_p, NULL));
191:       PetscCall(PetscObjectReference((PetscObject)l2gmap_p));
192:       PetscCall(MatGetSize(fetidpmat_ctx->C, &nPg, NULL));
193:       PetscCall(MatGetLocalSize(fetidpmat_ctx->C, NULL, &nPgl));
194:       PetscCall(MatGetLayouts(fetidpmat_ctx->C, NULL, &llay));
195:       PetscCall(PetscLayoutReference(llay, &play));
196:     }
197:     PetscCall(VecCreateMPIWithArray(comm, 1, nPgl, nPg, NULL, &fetidpmat_ctx->xPg));
198:     PetscCall(VecCreateMPIWithArray(comm, 1, nPgl, nPg, NULL, &fetidpmat_ctx->yPg));

200:     /* import matrices for pressures coupling */
201:     PetscCall(PetscObjectQuery((PetscObject)fetidpmat_ctx->pc, "__KSPFETIDP_B_BI", (PetscObject *)&fetidpmat_ctx->B_BI));
202:     PetscCheck(fetidpmat_ctx->B_BI, PETSC_COMM_SELF, PETSC_ERR_PLIB, "B_BI not present");
203:     PetscCall(PetscObjectReference((PetscObject)fetidpmat_ctx->B_BI));

205:     PetscCall(PetscObjectQuery((PetscObject)fetidpmat_ctx->pc, "__KSPFETIDP_B_BB", (PetscObject *)&fetidpmat_ctx->B_BB));
206:     PetscCheck(fetidpmat_ctx->B_BB, PETSC_COMM_SELF, PETSC_ERR_PLIB, "B_BB not present");
207:     PetscCall(PetscObjectReference((PetscObject)fetidpmat_ctx->B_BB));

209:     PetscCall(PetscObjectQuery((PetscObject)fetidpmat_ctx->pc, "__KSPFETIDP_Bt_BI", (PetscObject *)&fetidpmat_ctx->Bt_BI));
210:     PetscCheck(fetidpmat_ctx->Bt_BI, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Bt_BI not present");
211:     PetscCall(PetscObjectReference((PetscObject)fetidpmat_ctx->Bt_BI));

213:     PetscCall(PetscObjectQuery((PetscObject)fetidpmat_ctx->pc, "__KSPFETIDP_Bt_BB", (PetscObject *)&fetidpmat_ctx->Bt_BB));
214:     PetscCheck(fetidpmat_ctx->Bt_BB, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Bt_BB not present");
215:     PetscCall(PetscObjectReference((PetscObject)fetidpmat_ctx->Bt_BB));

217:     PetscCall(PetscObjectQuery((PetscObject)fetidpmat_ctx->pc, "__KSPFETIDP_flip", (PetscObject *)&fetidpmat_ctx->rhs_flip));
218:     if (fetidpmat_ctx->rhs_flip) PetscCall(PetscObjectReference((PetscObject)fetidpmat_ctx->rhs_flip));

220:     PetscCall(PetscObjectQuery((PetscObject)fetidpmat_ctx->pc, "__KSPFETIDP_lP_I", (PetscObject *)&fetidpmat_ctx->lP_I));
221:     PetscCheck(fetidpmat_ctx->lP_I, PETSC_COMM_SELF, PETSC_ERR_PLIB, "lP_I not present");
222:     PetscCall(PetscObjectReference((PetscObject)fetidpmat_ctx->lP_I));

224:     PetscCall(PetscObjectQuery((PetscObject)fetidpmat_ctx->pc, "__KSPFETIDP_lP_B", (PetscObject *)&fetidpmat_ctx->lP_B));
225:     PetscCheck(fetidpmat_ctx->lP_B, PETSC_COMM_SELF, PETSC_ERR_PLIB, "lP_B not present");
226:     PetscCall(PetscObjectReference((PetscObject)fetidpmat_ctx->lP_B));
227:   }

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

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

238:   /* Get Vertices used to define the BDDC */
239:   PetscCall(PCBDDCGraphGetCandidatesIS(mat_graph, NULL, NULL, NULL, NULL, &isvert));
240:   PetscCall(ISGetLocalSize(isvert, &n_vertices));
241:   PetscCall(ISGetIndices(isvert, &vertex_indices));

243:   dual_size = pcis->n_B - n_vertices;
244:   PetscCall(PetscMalloc1(dual_size, &dual_dofs_boundary_indices));
245:   PetscCall(PetscMalloc1(dual_size, &aux_local_numbering_1));
246:   PetscCall(PetscMalloc1(dual_size, &aux_local_numbering_2));

248:   /* the code below does not support multiple subdomains per process
249:      error out in this case
250:      TODO: I guess I can use PetscSFGetMultiSF and the code will be easier and more general */
251:   PetscCall(PetscMalloc2(pcis->n, &count, pcis->n, &neighbours_set));
252:   for (i = 0, j = 0; i < pcis->n; i++) j += mat_graph->nodes[i].count;
253:   if (pcis->n) PetscCall(PetscMalloc1(j, &neighbours_set[0]));
254:   for (i = 0; i < pcis->n; i++) {
255:     PCBDDCGraphNode *node = &mat_graph->nodes[i];

257:     count[i] = 0;
258:     for (j = 0; j < node->count; j++) {
259:       if (node->neighbours_set[j] == rank) continue;
260:       neighbours_set[i][count[i]++] = node->neighbours_set[j];
261:     }
262:     PetscCheck(count[i] == node->count - 1, PETSC_COMM_SELF, PETSC_ERR_SUP, "Multiple subdomains per process not supported");
263:     s = count[i];
264:     PetscCall(PetscSortRemoveDupsInt(count + i, neighbours_set[i]));
265:     PetscCheck(s == count[i], PETSC_COMM_SELF, PETSC_ERR_SUP, "Multiple subdomains per process not supported");
266:     if (i != pcis->n - 1) neighbours_set[i + 1] = neighbours_set[i] + count[i];
267:   }

269:   PetscCall(VecGetArray(pcis->vec1_N, &array));
270:   for (i = 0, s = 0; i < pcis->n; i++) {
271:     j = count[i]; /* RECALL: count[i] does not count myself */
272:     if (j > 0) n_boundary_dofs++;
273:     skip_node = PETSC_FALSE;
274:     if (s < n_vertices && vertex_indices[s] == i) { /* it works for a sorted set of vertices */
275:       skip_node = PETSC_TRUE;
276:       s++;
277:     }
278:     if (j < 1) skip_node = PETSC_TRUE;
279:     if (mat_graph->nodes[i].special_dof == PCBDDCGRAPH_DIRICHLET_MARK) skip_node = PETSC_TRUE;
280:     if (!skip_node) {
281:       if (fully_redundant) {
282:         /* fully redundant set of lagrange multipliers */
283:         n_lambda_for_dof = (j * (j + 1)) / 2;
284:       } else {
285:         n_lambda_for_dof = j;
286:       }
287:       n_local_lambda += j;
288:       /* needed to evaluate global number of lagrange multipliers */
289:       array[i] = (1.0 * n_lambda_for_dof) / (j + 1.0); /* already scaled for the next global sum */
290:       /* store some data needed */
291:       dual_dofs_boundary_indices[partial_sum] = n_boundary_dofs - 1;
292:       aux_local_numbering_1[partial_sum]      = i;
293:       aux_local_numbering_2[partial_sum]      = n_lambda_for_dof;
294:       partial_sum++;
295:     }
296:   }
297:   PetscCall(VecRestoreArray(pcis->vec1_N, &array));
298:   PetscCall(ISRestoreIndices(isvert, &vertex_indices));
299:   PetscCall(PCBDDCGraphRestoreCandidatesIS(mat_graph, NULL, NULL, NULL, NULL, &isvert));
300:   dual_size = partial_sum;

302:   /* compute global ordering of lagrange multipliers and associate l2g map */
303:   PetscCall(ISCreateGeneral(comm, partial_sum, aux_local_numbering_1, PETSC_COPY_VALUES, &subset_n));
304:   PetscCall(ISLocalToGlobalMappingApplyIS(pcis->mapping, subset_n, &subset));
305:   PetscCall(ISDestroy(&subset_n));
306:   PetscCall(ISCreateGeneral(comm, partial_sum, aux_local_numbering_2, PETSC_OWN_POINTER, &subset_mult));
307:   PetscCall(ISRenumber(subset, subset_mult, &fetidpmat_ctx->n_lambda, &subset_n));
308:   PetscCall(ISDestroy(&subset));

310:   if (PetscDefined(USE_DEBUG)) {
311:     PetscCall(VecSet(pcis->vec1_global, 0.0));
312:     PetscCall(VecScatterBegin(matis->rctx, pcis->vec1_N, pcis->vec1_global, ADD_VALUES, SCATTER_REVERSE));
313:     PetscCall(VecScatterEnd(matis->rctx, pcis->vec1_N, pcis->vec1_global, ADD_VALUES, SCATTER_REVERSE));
314:     PetscCall(VecSum(pcis->vec1_global, &scalar_value));
315:     i = (PetscInt)PetscRealPart(scalar_value);
316:     PetscCheck(i == fetidpmat_ctx->n_lambda, PETSC_COMM_WORLD, PETSC_ERR_PLIB, "Global number of multipliers mismatch! (%" PetscInt_FMT " != %" PetscInt_FMT ")", fetidpmat_ctx->n_lambda, i);
317:   }

319:   /* init data for scaling factors exchange */
320:   if (!pcbddc->use_deluxe_scaling) {
321:     PetscInt    *ptrs_buffer, neigh_position;
322:     PetscScalar *send_buffer, *recv_buffer;
323:     MPI_Request *send_reqs, *recv_reqs;
324:     PetscMPIInt  nreqs;

326:     partial_sum = 0;
327:     PetscCall(PetscMalloc1(pcis->n_neigh, &ptrs_buffer));
328:     PetscCall(PetscMalloc1(PetscMax(pcis->n_neigh - 1, 0), &send_reqs));
329:     PetscCall(PetscMalloc1(PetscMax(pcis->n_neigh - 1, 0), &recv_reqs));
330:     PetscCall(PetscMalloc1(pcis->n + 1, &all_factors));
331:     if (pcis->n_neigh > 0) ptrs_buffer[0] = 0;
332:     for (i = 1; i < pcis->n_neigh; i++) {
333:       partial_sum += pcis->n_shared[i];
334:       ptrs_buffer[i] = ptrs_buffer[i - 1] + pcis->n_shared[i];
335:     }
336:     PetscCall(PetscMalloc1(partial_sum, &send_buffer));
337:     PetscCall(PetscMalloc1(partial_sum, &recv_buffer));
338:     PetscCall(PetscMalloc1(partial_sum, &all_factors[0]));
339:     for (i = 0; i < pcis->n - 1; i++) {
340:       j                  = count[i];
341:       all_factors[i + 1] = all_factors[i] + j;
342:     }

344:     /* scatter B scaling to N vec */
345:     PetscCall(VecScatterBegin(pcis->N_to_B, pcis->D, pcis->vec1_N, INSERT_VALUES, SCATTER_REVERSE));
346:     PetscCall(VecScatterEnd(pcis->N_to_B, pcis->D, pcis->vec1_N, INSERT_VALUES, SCATTER_REVERSE));
347:     /* communications */
348:     PetscCall(VecGetArrayRead(pcis->vec1_N, (const PetscScalar **)&array));
349:     for (i = 1; i < pcis->n_neigh; i++) {
350:       for (j = 0; j < pcis->n_shared[i]; j++) send_buffer[ptrs_buffer[i - 1] + j] = array[pcis->shared[i][j]];
351:       buf_size = ptrs_buffer[i] - ptrs_buffer[i - 1];
352:       PetscCall(PetscMPIIntCast(pcis->neigh[i], &neigh));
353:       PetscCallMPI(MPIU_Isend(&send_buffer[ptrs_buffer[i - 1]], buf_size, MPIU_SCALAR, neigh, 0, comm, &send_reqs[i - 1]));
354:       PetscCallMPI(MPIU_Irecv(&recv_buffer[ptrs_buffer[i - 1]], buf_size, MPIU_SCALAR, neigh, 0, comm, &recv_reqs[i - 1]));
355:     }
356:     PetscCall(VecRestoreArrayRead(pcis->vec1_N, (const PetscScalar **)&array));
357:     PetscCall(PetscMPIIntCast(pcis->n_neigh - 1, &nreqs));
358:     if (pcis->n_neigh > 0) PetscCallMPI(MPI_Waitall(nreqs, recv_reqs, MPI_STATUSES_IGNORE));
359:     /* put values in correct places */
360:     for (i = 1; i < pcis->n_neigh; i++) {
361:       for (j = 0; j < pcis->n_shared[i]; j++) {
362:         k              = pcis->shared[i][j];
363:         neigh_position = 0;
364:         while (neighbours_set[k][neigh_position] != pcis->neigh[i]) { neigh_position++; }
365:         all_factors[k][neigh_position] = recv_buffer[ptrs_buffer[i - 1] + j];
366:       }
367:     }
368:     if (pcis->n_neigh > 0) PetscCallMPI(MPI_Waitall(nreqs, send_reqs, MPI_STATUSES_IGNORE));
369:     PetscCall(PetscFree(send_reqs));
370:     PetscCall(PetscFree(recv_reqs));
371:     PetscCall(PetscFree(send_buffer));
372:     PetscCall(PetscFree(recv_buffer));
373:     PetscCall(PetscFree(ptrs_buffer));
374:   }

376:   /* Compute B and B_delta (local actions) */
377:   PetscCall(PetscMalloc1(pcis->n_neigh, &aux_sums));
378:   PetscCall(PetscMalloc1(n_local_lambda, &l2g_indices));
379:   PetscCall(PetscMalloc1(n_local_lambda, &vals_B_delta));
380:   PetscCall(PetscMalloc1(n_local_lambda, &cols_B_delta));
381:   if (!pcbddc->use_deluxe_scaling) {
382:     PetscCall(PetscMalloc1(n_local_lambda, &scaling_factors));
383:   } else {
384:     scaling_factors = NULL;
385:     all_factors     = NULL;
386:   }
387:   PetscCall(ISGetIndices(subset_n, &aux_global_numbering));
388:   partial_sum = 0;
389:   cum         = 0;
390:   for (i = 0; i < dual_size; i++) {
391:     n_global_lambda = aux_global_numbering[cum];
392:     j               = count[aux_local_numbering_1[i]];
393:     aux_sums[0]     = 0;
394:     for (s = 1; s < j; s++) aux_sums[s] = aux_sums[s - 1] + j - s + 1;
395:     if (all_factors) array = all_factors[aux_local_numbering_1[i]];
396:     n_neg_values = 0;
397:     while (n_neg_values < j && neighbours_set[aux_local_numbering_1[i]][n_neg_values] < rank) { n_neg_values++; }
398:     n_pos_values = j - n_neg_values;
399:     if (fully_redundant) {
400:       for (s = 0; s < n_neg_values; s++) {
401:         l2g_indices[partial_sum + s]  = aux_sums[s] + n_neg_values - s - 1 + n_global_lambda;
402:         cols_B_delta[partial_sum + s] = dual_dofs_boundary_indices[i];
403:         vals_B_delta[partial_sum + s] = -1.0;
404:         if (!pcbddc->use_deluxe_scaling) scaling_factors[partial_sum + s] = array[s];
405:       }
406:       for (s = 0; s < n_pos_values; s++) {
407:         l2g_indices[partial_sum + s + n_neg_values]  = aux_sums[n_neg_values] + s + n_global_lambda;
408:         cols_B_delta[partial_sum + s + n_neg_values] = dual_dofs_boundary_indices[i];
409:         vals_B_delta[partial_sum + s + n_neg_values] = 1.0;
410:         if (!pcbddc->use_deluxe_scaling) scaling_factors[partial_sum + s + n_neg_values] = array[s + n_neg_values];
411:       }
412:       partial_sum += j;
413:     } else {
414:       /* l2g_indices and default cols and vals of B_delta */
415:       for (s = 0; s < j; s++) {
416:         l2g_indices[partial_sum + s]  = n_global_lambda + s;
417:         cols_B_delta[partial_sum + s] = dual_dofs_boundary_indices[i];
418:         vals_B_delta[partial_sum + s] = 0.0;
419:       }
420:       /* B_delta */
421:       if (n_neg_values > 0) { /* there's a rank next to me to the left */
422:         vals_B_delta[partial_sum + n_neg_values - 1] = -1.0;
423:       }
424:       if (n_neg_values < j) { /* there's a rank next to me to the right */
425:         vals_B_delta[partial_sum + n_neg_values] = 1.0;
426:       }
427:       /* scaling as in Klawonn-Widlund 1999 */
428:       if (!pcbddc->use_deluxe_scaling) {
429:         for (s = 0; s < n_neg_values; s++) {
430:           scalar_value = 0.0;
431:           for (k = 0; k < s + 1; k++) scalar_value += array[k];
432:           scaling_factors[partial_sum + s] = -scalar_value;
433:         }
434:         for (s = 0; s < n_pos_values; s++) {
435:           scalar_value = 0.0;
436:           for (k = s + n_neg_values; k < j; k++) scalar_value += array[k];
437:           scaling_factors[partial_sum + s + n_neg_values] = scalar_value;
438:         }
439:       }
440:       partial_sum += j;
441:     }
442:     cum += aux_local_numbering_2[i];
443:   }
444:   PetscCall(ISRestoreIndices(subset_n, &aux_global_numbering));
445:   PetscCall(ISDestroy(&subset_mult));
446:   PetscCall(ISDestroy(&subset_n));
447:   PetscCall(PetscFree(aux_sums));
448:   PetscCall(PetscFree(aux_local_numbering_1));
449:   PetscCall(PetscFree(dual_dofs_boundary_indices));
450:   if (all_factors) {
451:     PetscCall(PetscFree(all_factors[0]));
452:     PetscCall(PetscFree(all_factors));
453:   }
454:   if (pcis->n) PetscCall(PetscFree(neighbours_set[0]));
455:   PetscCall(PetscFree2(count, neighbours_set));

457:   /* Create local part of B_delta */
458:   PetscCall(MatCreate(PETSC_COMM_SELF, &fetidpmat_ctx->B_delta));
459:   PetscCall(MatSetSizes(fetidpmat_ctx->B_delta, n_local_lambda, pcis->n_B, n_local_lambda, pcis->n_B));
460:   PetscCall(MatSetType(fetidpmat_ctx->B_delta, MATSEQAIJ));
461:   PetscCall(MatSeqAIJSetPreallocation(fetidpmat_ctx->B_delta, 1, NULL));
462:   PetscCall(MatSetOption(fetidpmat_ctx->B_delta, MAT_IGNORE_ZERO_ENTRIES, PETSC_TRUE));
463:   for (i = 0; i < n_local_lambda; i++) PetscCall(MatSetValue(fetidpmat_ctx->B_delta, i, cols_B_delta[i], vals_B_delta[i], INSERT_VALUES));
464:   PetscCall(PetscFree(vals_B_delta));
465:   PetscCall(MatAssemblyBegin(fetidpmat_ctx->B_delta, MAT_FINAL_ASSEMBLY));
466:   PetscCall(MatAssemblyEnd(fetidpmat_ctx->B_delta, MAT_FINAL_ASSEMBLY));

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

500:       PetscCheck(pcbddc->deluxe_singlemat, comm, PETSC_ERR_USER, "Cannot compute B_Ddelta! rerun with -pc_bddc_deluxe_singlemat");
501:       mss = 0;
502:       PetscCall(PetscCalloc1(pcis->n_B, &nnz));
503:       if (sub_schurs->is_Ej_all) {
504:         PetscCall(ISGetIndices(sub_schurs->is_Ej_all, &idxs));
505:         for (i = 0, cum = 0; i < sub_schurs->n_subs; i++) {
506:           PetscInt subset_size;

508:           PetscCall(ISGetLocalSize(sub_schurs->is_subs[i], &subset_size));
509:           for (j = 0; j < subset_size; j++) nnz[idxs[j + cum]] = subset_size;
510:           mss = PetscMax(mss, subset_size);
511:           cum += subset_size;
512:         }
513:       }
514:       PetscCall(MatCreate(PETSC_COMM_SELF, &T));
515:       PetscCall(MatSetSizes(T, pcis->n_B, pcis->n_B, pcis->n_B, pcis->n_B));
516:       PetscCall(MatSetType(T, MATSEQAIJ));
517:       PetscCall(MatSeqAIJSetPreallocation(T, 0, nnz));
518:       PetscCall(PetscFree(nnz));

520:       /* workspace allocation */
521:       B_lwork = 0;
522:       if (mss) {
523:         PetscScalar dummy = 1;

525:         B_lwork = -1;
526:         PetscCall(PetscBLASIntCast(mss, &B_N));
527:         PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF));
528:         PetscCallBLAS("LAPACKgetri", LAPACKgetri_(&B_N, &dummy, &B_N, &B_N, &lwork, &B_lwork, &B_ierr));
529:         PetscCall(PetscFPTrapPop());
530:         PetscCheck(!B_ierr, PETSC_COMM_SELF, PETSC_ERR_LIB, "Error in query to GETRI Lapack routine %" PetscBLASInt_FMT, B_ierr);
531:         PetscCall(PetscBLASIntCast((PetscInt)PetscRealPart(lwork), &B_lwork));
532:       }
533:       PetscCall(PetscMalloc3(mss * mss, &W, mss, &pivots, B_lwork, &Bwork));

535:       for (i = 0, cum = 0; i < sub_schurs->n_subs; i++) {
536:         const PetscScalar *M;
537:         PetscInt           subset_size;

539:         PetscCall(ISGetLocalSize(sub_schurs->is_subs[i], &subset_size));
540:         PetscCall(PetscBLASIntCast(subset_size, &B_N));
541:         PetscCall(MatDenseGetArrayRead(deluxe_ctx->seq_mat[i], &M));
542:         PetscCall(PetscArraycpy(W, M, subset_size * subset_size));
543:         PetscCall(MatDenseRestoreArrayRead(deluxe_ctx->seq_mat[i], &M));
544:         PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF));
545:         PetscCallBLAS("LAPACKgetrf", LAPACKgetrf_(&B_N, &B_N, W, &B_N, pivots, &B_ierr));
546:         PetscCheck(!B_ierr, PETSC_COMM_SELF, PETSC_ERR_LIB, "Error in GETRF Lapack routine %" PetscBLASInt_FMT, B_ierr);
547:         PetscCallBLAS("LAPACKgetri", LAPACKgetri_(&B_N, W, &B_N, pivots, Bwork, &B_lwork, &B_ierr));
548:         PetscCheck(!B_ierr, PETSC_COMM_SELF, PETSC_ERR_LIB, "Error in GETRI Lapack routine %" PetscBLASInt_FMT, B_ierr);
549:         PetscCall(PetscFPTrapPop());
550:         /* silent static analyzer */
551:         PetscCheck(idxs, PETSC_COMM_SELF, PETSC_ERR_PLIB, "IDXS not present");
552:         PetscCall(MatSetValues(T, subset_size, idxs + cum, subset_size, idxs + cum, W, INSERT_VALUES));
553:         cum += subset_size;
554:       }
555:       PetscCall(MatAssemblyBegin(T, MAT_FINAL_ASSEMBLY));
556:       PetscCall(MatAssemblyEnd(T, MAT_FINAL_ASSEMBLY));
557:       PetscCall(MatMatTransposeMult(T, fetidpmat_ctx->B_delta, MAT_INITIAL_MATRIX, PETSC_DETERMINE, &BD1));
558:       PetscCall(MatMatMult(fetidpmat_ctx->B_delta, BD1, MAT_INITIAL_MATRIX, PETSC_DETERMINE, &BD2));
559:       PetscCall(MatDestroy(&T));
560:       PetscCall(PetscFree3(W, pivots, Bwork));
561:       if (sub_schurs->is_Ej_all) PetscCall(ISRestoreIndices(sub_schurs->is_Ej_all, &idxs));
562:     }
563:   }
564:   PetscCall(PetscFree(scaling_factors));
565:   PetscCall(PetscFree(cols_B_delta));

567:   /* Layout of multipliers */
568:   PetscCall(PetscLayoutCreate(comm, &llay));
569:   PetscCall(PetscLayoutSetBlockSize(llay, 1));
570:   PetscCall(PetscLayoutSetSize(llay, fetidpmat_ctx->n_lambda));
571:   PetscCall(PetscLayoutSetUp(llay));
572:   PetscCall(PetscLayoutGetLocalSize(llay, &fetidpmat_ctx->n));

574:   /* Local work vector of multipliers */
575:   PetscCall(VecCreate(PETSC_COMM_SELF, &fetidpmat_ctx->lambda_local));
576:   PetscCall(VecSetSizes(fetidpmat_ctx->lambda_local, n_local_lambda, n_local_lambda));
577:   PetscCall(VecSetType(fetidpmat_ctx->lambda_local, VECSEQ));

579:   if (BD2) {
580:     ISLocalToGlobalMapping l2g;
581:     Mat                    T, TA, *pT;
582:     IS                     is;
583:     PetscInt               nl, N;
584:     BDdelta_DN             ctx;

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

607:     /* B_Ddelta for non-redundant multipliers with deluxe scaling */
608:     PetscCall(PetscNew(&ctx));
609:     PetscCall(MatSetType(fetidpmat_ctx->B_Ddelta, MATSHELL));
610:     PetscCall(MatShellSetContext(fetidpmat_ctx->B_Ddelta, ctx));
611:     PetscCall(MatShellSetOperation(fetidpmat_ctx->B_Ddelta, MATOP_MULT, (void (*)(void))MatMult_BDdelta_deluxe_nonred));
612:     PetscCall(MatShellSetOperation(fetidpmat_ctx->B_Ddelta, MATOP_MULT_TRANSPOSE, (void (*)(void))MatMultTranspose_BDdelta_deluxe_nonred));
613:     PetscCall(MatShellSetOperation(fetidpmat_ctx->B_Ddelta, MATOP_DESTROY, (void (*)(void))MatDestroy_BDdelta_deluxe_nonred));
614:     PetscCall(MatSetUp(fetidpmat_ctx->B_Ddelta));

616:     PetscCall(PetscObjectReference((PetscObject)BD1));
617:     ctx->BD = BD1;
618:     PetscCall(KSPCreate(PETSC_COMM_SELF, &ctx->kBD));
619:     PetscCall(KSPSetNestLevel(ctx->kBD, fetidpmat_ctx->pc->kspnestlevel));
620:     PetscCall(KSPSetOperators(ctx->kBD, BD2, BD2));
621:     PetscCall(VecDuplicate(fetidpmat_ctx->lambda_local, &ctx->work));
622:     fetidpmat_ctx->deluxe_nonred = PETSC_TRUE;
623:   }
624:   PetscCall(MatDestroy(&BD1));
625:   PetscCall(MatDestroy(&BD2));

627:   /* fetidpmat sizes */
628:   fetidpmat_ctx->n += nPgl;
629:   fetidpmat_ctx->N = fetidpmat_ctx->n_lambda + nPg;

631:   /* Global vector for FETI-DP linear system */
632:   PetscCall(VecCreate(comm, &fetidp_global));
633:   PetscCall(VecSetSizes(fetidp_global, fetidpmat_ctx->n, fetidpmat_ctx->N));
634:   PetscCall(VecSetType(fetidp_global, VECMPI));
635:   PetscCall(VecSetUp(fetidp_global));

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

648:     PetscCall(PetscMalloc1(nPl, &l2g_indices_p));
649:     PetscCall(VecGetLayout(fetidp_global, &alay));
650:     PetscCall(PetscLayoutGetRanges(alay, &aranges));
651:     PetscCall(PetscLayoutGetRanges(play, &pranges));
652:     PetscCall(PetscLayoutGetRanges(llay, &lranges));

654:     PetscCallMPI(MPI_Comm_rank(PetscObjectComm((PetscObject)fetidp_global), &rank));
655:     PetscCall(ISCreateStride(PetscObjectComm((PetscObject)fetidp_global), pranges[rank + 1] - pranges[rank], aranges[rank], 1, &fetidpmat_ctx->pressure));
656:     PetscCall(PetscObjectSetName((PetscObject)fetidpmat_ctx->pressure, "F_P"));
657:     PetscCall(ISCreateStride(PetscObjectComm((PetscObject)fetidp_global), lranges[rank + 1] - lranges[rank], aranges[rank] + pranges[rank + 1] - pranges[rank], 1, &fetidpmat_ctx->lagrange));
658:     PetscCall(PetscObjectSetName((PetscObject)fetidpmat_ctx->lagrange, "F_L"));
659:     PetscCall(ISLocalToGlobalMappingGetIndices(l2gmap_p, &idxs));
660:     /* shift local to global indices for pressure */
661:     for (i = 0; i < nPl; i++) {
662:       PetscMPIInt owner;

664:       PetscCall(PetscLayoutFindOwner(play, idxs[i], &owner));
665:       l2g_indices_p[i] = idxs[i] - pranges[owner] + aranges[owner];
666:     }
667:     PetscCall(ISLocalToGlobalMappingRestoreIndices(l2gmap_p, &idxs));
668:     PetscCall(ISCreateGeneral(comm, nPl, l2g_indices_p, PETSC_OWN_POINTER, &IS_l2g_p));

670:     /* local to global scatter for pressure */
671:     PetscCall(VecScatterCreate(fetidpmat_ctx->vP, NULL, fetidp_global, IS_l2g_p, &fetidpmat_ctx->l2g_p));
672:     PetscCall(ISDestroy(&IS_l2g_p));

674:     /* scatter for lagrange multipliers only */
675:     PetscCall(VecCreate(comm, &v));
676:     PetscCall(VecSetType(v, VECSTANDARD));
677:     PetscCall(VecSetLayout(v, llay));
678:     PetscCall(VecSetUp(v));
679:     PetscCall(ISCreateGeneral(comm, n_local_lambda, l2g_indices, PETSC_COPY_VALUES, &ais));
680:     PetscCall(VecScatterCreate(fetidpmat_ctx->lambda_local, NULL, v, ais, &fetidpmat_ctx->l2g_lambda_only));
681:     PetscCall(ISDestroy(&ais));
682:     PetscCall(VecDestroy(&v));

684:     /* shift local to global indices for multipliers */
685:     for (i = 0; i < n_local_lambda; i++) {
686:       PetscInt    ps;
687:       PetscMPIInt owner;

689:       PetscCall(PetscLayoutFindOwner(llay, l2g_indices[i], &owner));
690:       ps             = pranges[owner + 1] - pranges[owner];
691:       l2g_indices[i] = l2g_indices[i] - lranges[owner] + aranges[owner] + ps;
692:     }

694:     /* scatter from alldofs to pressures global fetidp vector */
695:     PetscCall(PetscLayoutGetRange(alay, &rst, NULL));
696:     PetscCall(ISCreateStride(comm, nPgl, rst, 1, &ais));
697:     PetscCall(VecScatterCreate(pcis->vec1_global, pP, fetidp_global, ais, &fetidpmat_ctx->g2g_p));
698:     PetscCall(ISDestroy(&ais));
699:   }
700:   PetscCall(PetscLayoutDestroy(&llay));
701:   PetscCall(PetscLayoutDestroy(&play));
702:   PetscCall(ISCreateGeneral(comm, n_local_lambda, l2g_indices, PETSC_OWN_POINTER, &IS_l2g_lambda));

704:   /* scatter from local to global multipliers */
705:   PetscCall(VecScatterCreate(fetidpmat_ctx->lambda_local, NULL, fetidp_global, IS_l2g_lambda, &fetidpmat_ctx->l2g_lambda));
706:   PetscCall(ISDestroy(&IS_l2g_lambda));
707:   PetscCall(ISLocalToGlobalMappingDestroy(&l2gmap_p));
708:   PetscCall(VecDestroy(&fetidp_global));

710:   /* Create some work vectors needed by fetidp */
711:   PetscCall(VecDuplicate(pcis->vec1_B, &fetidpmat_ctx->temp_solution_B));
712:   PetscCall(VecDuplicate(pcis->vec1_D, &fetidpmat_ctx->temp_solution_D));
713:   PetscFunctionReturn(PETSC_SUCCESS);
714: }

716: PetscErrorCode PCBDDCSetupFETIDPPCContext(Mat fetimat, FETIDPPC_ctx fetidppc_ctx)
717: {
718:   FETIDPMat_ctx mat_ctx;
719:   PC_BDDC      *pcbddc = (PC_BDDC *)fetidppc_ctx->pc->data;
720:   PC_IS        *pcis   = (PC_IS *)fetidppc_ctx->pc->data;
721:   PetscBool     lumped = PETSC_FALSE;

723:   PetscFunctionBegin;
724:   PetscCall(MatShellGetContext(fetimat, &mat_ctx));
725:   /* get references from objects created when setting up feti mat context */
726:   PetscCall(PetscObjectReference((PetscObject)mat_ctx->lambda_local));
727:   fetidppc_ctx->lambda_local = mat_ctx->lambda_local;
728:   PetscCall(PetscObjectReference((PetscObject)mat_ctx->B_Ddelta));
729:   fetidppc_ctx->B_Ddelta = mat_ctx->B_Ddelta;
730:   if (mat_ctx->deluxe_nonred) {
731:     PC            pc, mpc;
732:     BDdelta_DN    ctx;
733:     MatSolverType solver;
734:     const char   *prefix;

736:     PetscCall(MatShellGetContext(mat_ctx->B_Ddelta, &ctx));
737:     PetscCall(KSPSetType(ctx->kBD, KSPPREONLY));
738:     PetscCall(KSPGetPC(ctx->kBD, &mpc));
739:     PetscCall(KSPGetPC(pcbddc->ksp_D, &pc));
740:     PetscCall(PCSetType(mpc, PCLU));
741:     PetscCall(PCFactorGetMatSolverType(pc, &solver));
742:     if (solver) PetscCall(PCFactorSetMatSolverType(mpc, solver));
743:     PetscCall(MatGetOptionsPrefix(fetimat, &prefix));
744:     PetscCall(KSPSetOptionsPrefix(ctx->kBD, prefix));
745:     PetscCall(KSPAppendOptionsPrefix(ctx->kBD, "bddelta_"));
746:     PetscCall(KSPSetFromOptions(ctx->kBD));
747:   }

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

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

774:       /*
775:         We constructs a Schur complement for

777:         | A_II A_ID |
778:         | A_DI A_DD |

780:         instead of

782:         | A_II  B^t_II A_ID |
783:         | B_II -C_II   B_ID |
784:         | A_DI  B^t_ID A_DD |

786:       */
787:       if (sub_schurs && sub_schurs->reuse_solver) {
788:         PetscCall(PetscObjectQuery((PetscObject)sub_schurs->A, "__KSPFETIDP_iP", (PetscObject *)&iP));
789:         if (iP) reuse = PETSC_TRUE;
790:       }
791:       if (!reuse) {
792:         IS       aB;
793:         PetscInt nb;
794:         PetscCall(ISGetLocalSize(pcis->is_B_local, &nb));
795:         PetscCall(ISCreateStride(PetscObjectComm((PetscObject)pcis->A_II), nb, 0, 1, &aB));
796:         PetscCall(MatCreateSubMatrix(pcis->A_II, iV, iV, MAT_INITIAL_MATRIX, &A_II));
797:         PetscCall(MatCreateSubMatrix(pcis->A_IB, iV, aB, MAT_INITIAL_MATRIX, &A_IB));
798:         PetscCall(MatCreateSubMatrix(pcis->A_BI, aB, iV, MAT_INITIAL_MATRIX, &A_BI));
799:         PetscCall(ISDestroy(&aB));
800:       } else {
801:         PetscCall(MatCreateSubMatrix(sub_schurs->A, pcis->is_I_local, pcis->is_B_local, MAT_INITIAL_MATRIX, &A_IB));
802:         PetscCall(MatCreateSubMatrix(sub_schurs->A, pcis->is_B_local, pcis->is_I_local, MAT_INITIAL_MATRIX, &A_BI));
803:         PetscCall(PetscObjectReference((PetscObject)pcis->A_II));
804:         A_II = pcis->A_II;
805:       }
806:       PetscCall(MatCreateSchurComplement(A_II, A_II, A_IB, A_BI, pcis->A_BB, &fetidppc_ctx->S_j));

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

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

856: static 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;

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

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

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

942: PetscErrorCode FETIDPMatMult(Mat fetimat, Vec x, Vec y)
943: {
944:   PetscFunctionBegin;
945:   PetscCall(FETIDPMatMult_Kernel(fetimat, x, y, PETSC_FALSE));
946:   PetscFunctionReturn(PETSC_SUCCESS);
947: }

949: PetscErrorCode FETIDPMatMultTranspose(Mat fetimat, Vec x, Vec y)
950: {
951:   PetscFunctionBegin;
952:   PetscCall(FETIDPMatMult_Kernel(fetimat, x, y, PETSC_TRUE));
953:   PetscFunctionReturn(PETSC_SUCCESS);
954: }

956: static PetscErrorCode FETIDPPCApply_Kernel(PC fetipc, Vec x, Vec y, PetscBool trans)
957: {
958:   FETIDPPC_ctx pc_ctx;
959:   PC_IS       *pcis;

961:   PetscFunctionBegin;
962:   PetscCall(PCShellGetContext(fetipc, &pc_ctx));
963:   pcis = (PC_IS *)pc_ctx->pc->data;
964:   /* Application of B_Ddelta^T */
965:   PetscCall(VecScatterBegin(pc_ctx->l2g_lambda, x, pc_ctx->lambda_local, INSERT_VALUES, SCATTER_REVERSE));
966:   PetscCall(VecScatterEnd(pc_ctx->l2g_lambda, x, pc_ctx->lambda_local, INSERT_VALUES, SCATTER_REVERSE));
967:   PetscCall(VecSet(pcis->vec2_B, 0.0));
968:   PetscCall(MatMultTranspose(pc_ctx->B_Ddelta, pc_ctx->lambda_local, pcis->vec2_B));
969:   /* Application of local Schur complement */
970:   if (trans) {
971:     PetscCall(MatMultTranspose(pc_ctx->S_j, pcis->vec2_B, pcis->vec1_B));
972:   } else {
973:     PetscCall(MatMult(pc_ctx->S_j, pcis->vec2_B, pcis->vec1_B));
974:   }
975:   /* Application of B_Ddelta */
976:   PetscCall(MatMult(pc_ctx->B_Ddelta, pcis->vec1_B, pc_ctx->lambda_local));
977:   PetscCall(VecSet(y, 0.0));
978:   PetscCall(VecScatterBegin(pc_ctx->l2g_lambda, pc_ctx->lambda_local, y, ADD_VALUES, SCATTER_FORWARD));
979:   PetscCall(VecScatterEnd(pc_ctx->l2g_lambda, pc_ctx->lambda_local, y, ADD_VALUES, SCATTER_FORWARD));
980:   PetscFunctionReturn(PETSC_SUCCESS);
981: }

983: PetscErrorCode FETIDPPCApply(PC pc, Vec x, Vec y)
984: {
985:   PetscFunctionBegin;
986:   PetscCall(FETIDPPCApply_Kernel(pc, x, y, PETSC_FALSE));
987:   PetscFunctionReturn(PETSC_SUCCESS);
988: }

990: PetscErrorCode FETIDPPCApplyTranspose(PC pc, Vec x, Vec y)
991: {
992:   PetscFunctionBegin;
993:   PetscCall(FETIDPPCApply_Kernel(pc, x, y, PETSC_TRUE));
994:   PetscFunctionReturn(PETSC_SUCCESS);
995: }

997: PetscErrorCode FETIDPPCView(PC pc, PetscViewer viewer)
998: {
999:   FETIDPPC_ctx pc_ctx;
1000:   PetscBool    iascii;
1001:   PetscViewer  sviewer;

1003:   PetscFunctionBegin;
1004:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERASCII, &iascii));
1005:   if (iascii) {
1006:     PetscMPIInt rank;
1007:     PetscBool   isschur, isshell;

1009:     PetscCall(PCShellGetContext(pc, &pc_ctx));
1010:     PetscCallMPI(MPI_Comm_rank(PetscObjectComm((PetscObject)pc), &rank));
1011:     PetscCall(PetscObjectTypeCompare((PetscObject)pc_ctx->S_j, MATSCHURCOMPLEMENT, &isschur));
1012:     if (isschur) {
1013:       PetscCall(PetscViewerASCIIPrintf(viewer, "  Dirichlet preconditioner (just from rank 0)\n"));
1014:     } else {
1015:       PetscCall(PetscViewerASCIIPrintf(viewer, "  Lumped preconditioner (just from rank 0)\n"));
1016:     }
1017:     PetscCall(PetscViewerGetSubViewer(viewer, PetscObjectComm((PetscObject)pc_ctx->S_j), &sviewer));
1018:     if (rank == 0) {
1019:       PetscCall(PetscViewerPushFormat(sviewer, PETSC_VIEWER_ASCII_INFO));
1020:       PetscCall(PetscViewerASCIIPushTab(sviewer));
1021:       PetscCall(MatView(pc_ctx->S_j, sviewer));
1022:       PetscCall(PetscViewerASCIIPopTab(sviewer));
1023:       PetscCall(PetscViewerPopFormat(sviewer));
1024:     }
1025:     PetscCall(PetscViewerRestoreSubViewer(viewer, PetscObjectComm((PetscObject)pc_ctx->S_j), &sviewer));
1026:     PetscCall(PetscObjectTypeCompare((PetscObject)pc_ctx->B_Ddelta, MATSHELL, &isshell));
1027:     if (isshell) {
1028:       BDdelta_DN ctx;
1029:       PetscCall(PetscViewerASCIIPrintf(viewer, "  FETI-DP BDdelta: DB^t * (B D^-1 B^t)^-1 for deluxe scaling (just from rank 0)\n"));
1030:       PetscCall(MatShellGetContext(pc_ctx->B_Ddelta, &ctx));
1031:       PetscCall(PetscViewerGetSubViewer(viewer, PetscObjectComm((PetscObject)pc_ctx->S_j), &sviewer));
1032:       if (rank == 0) {
1033:         PetscInt tl;

1035:         PetscCall(PetscViewerASCIIGetTab(sviewer, &tl));
1036:         PetscCall(PetscObjectSetTabLevel((PetscObject)ctx->kBD, tl));
1037:         PetscCall(KSPView(ctx->kBD, sviewer));
1038:         PetscCall(PetscViewerPushFormat(sviewer, PETSC_VIEWER_ASCII_INFO));
1039:         PetscCall(MatView(ctx->BD, sviewer));
1040:         PetscCall(PetscViewerPopFormat(sviewer));
1041:       }
1042:       PetscCall(PetscViewerRestoreSubViewer(viewer, PetscObjectComm((PetscObject)pc_ctx->S_j), &sviewer));
1043:     }
1044:     PetscCall(PetscViewerFlush(viewer));
1045:   }
1046:   PetscFunctionReturn(PETSC_SUCCESS);
1047: }