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: 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;
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: PetscCallLAPACKInfo("LAPACKgetri", LAPACKgetri_(&B_N, &dummy, &B_N, &B_N, &lwork, &B_lwork, &info));
529: PetscCall(PetscFPTrapPop());
530: PetscCall(PetscBLASIntCast((PetscInt)PetscRealPart(lwork), &B_lwork));
531: }
532: PetscCall(PetscMalloc3(mss * mss, &W, mss, &pivots, B_lwork, &Bwork));
534: for (i = 0, cum = 0; i < sub_schurs->n_subs; i++) {
535: const PetscScalar *M;
536: PetscInt subset_size;
538: PetscCall(ISGetLocalSize(sub_schurs->is_subs[i], &subset_size));
539: PetscCall(PetscBLASIntCast(subset_size, &B_N));
540: PetscCall(MatDenseGetArrayRead(deluxe_ctx->seq_mat[i], &M));
541: PetscCall(PetscArraycpy(W, M, subset_size * subset_size));
542: PetscCall(MatDenseRestoreArrayRead(deluxe_ctx->seq_mat[i], &M));
543: PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF));
544: PetscCallLAPACKInfo("LAPACKgetrf", LAPACKgetrf_(&B_N, &B_N, W, &B_N, pivots, &info));
545: PetscCallLAPACKInfo("LAPACKgetri", LAPACKgetri_(&B_N, W, &B_N, pivots, Bwork, &B_lwork, &info));
546: PetscCall(PetscFPTrapPop());
547: /* silent static analyzer */
548: PetscCheck(idxs, PETSC_COMM_SELF, PETSC_ERR_PLIB, "IDXS not present");
549: PetscCall(MatSetValues(T, subset_size, idxs + cum, subset_size, idxs + cum, W, INSERT_VALUES));
550: cum += subset_size;
551: }
552: PetscCall(MatAssemblyBegin(T, MAT_FINAL_ASSEMBLY));
553: PetscCall(MatAssemblyEnd(T, MAT_FINAL_ASSEMBLY));
554: PetscCall(MatMatTransposeMult(T, fetidpmat_ctx->B_delta, MAT_INITIAL_MATRIX, PETSC_DETERMINE, &BD1));
555: PetscCall(MatMatMult(fetidpmat_ctx->B_delta, BD1, MAT_INITIAL_MATRIX, PETSC_DETERMINE, &BD2));
556: PetscCall(MatDestroy(&T));
557: PetscCall(PetscFree3(W, pivots, Bwork));
558: if (sub_schurs->is_Ej_all) PetscCall(ISRestoreIndices(sub_schurs->is_Ej_all, &idxs));
559: }
560: }
561: PetscCall(PetscFree(scaling_factors));
562: PetscCall(PetscFree(cols_B_delta));
564: /* Layout of multipliers */
565: PetscCall(PetscLayoutCreate(comm, &llay));
566: PetscCall(PetscLayoutSetBlockSize(llay, 1));
567: PetscCall(PetscLayoutSetSize(llay, fetidpmat_ctx->n_lambda));
568: PetscCall(PetscLayoutSetUp(llay));
569: PetscCall(PetscLayoutGetLocalSize(llay, &fetidpmat_ctx->n));
571: /* Local work vector of multipliers */
572: PetscCall(VecCreate(PETSC_COMM_SELF, &fetidpmat_ctx->lambda_local));
573: PetscCall(VecSetSizes(fetidpmat_ctx->lambda_local, n_local_lambda, n_local_lambda));
574: PetscCall(VecSetType(fetidpmat_ctx->lambda_local, VECSEQ));
576: if (BD2) {
577: ISLocalToGlobalMapping l2g;
578: Mat T, TA, *pT;
579: IS is;
580: PetscInt nl, N;
581: BDdelta_DN ctx;
583: PetscCall(PetscLayoutGetLocalSize(llay, &nl));
584: PetscCall(PetscLayoutGetSize(llay, &N));
585: PetscCall(MatCreate(comm, &T));
586: PetscCall(MatSetSizes(T, nl, nl, N, N));
587: PetscCall(MatSetType(T, MATIS));
588: PetscCall(ISLocalToGlobalMappingCreate(comm, 1, n_local_lambda, l2g_indices, PETSC_COPY_VALUES, &l2g));
589: PetscCall(MatSetLocalToGlobalMapping(T, l2g, l2g));
590: PetscCall(ISLocalToGlobalMappingDestroy(&l2g));
591: PetscCall(MatISSetLocalMat(T, BD2));
592: PetscCall(MatAssemblyBegin(T, MAT_FINAL_ASSEMBLY));
593: PetscCall(MatAssemblyEnd(T, MAT_FINAL_ASSEMBLY));
594: PetscCall(MatDestroy(&BD2));
595: PetscCall(MatConvert(T, MATAIJ, MAT_INITIAL_MATRIX, &TA));
596: PetscCall(MatDestroy(&T));
597: PetscCall(ISCreateGeneral(comm, n_local_lambda, l2g_indices, PETSC_USE_POINTER, &is));
598: PetscCall(MatCreateSubMatrices(TA, 1, &is, &is, MAT_INITIAL_MATRIX, &pT));
599: PetscCall(MatDestroy(&TA));
600: PetscCall(ISDestroy(&is));
601: BD2 = pT[0];
602: PetscCall(PetscFree(pT));
604: /* B_Ddelta for non-redundant multipliers with deluxe scaling */
605: PetscCall(PetscNew(&ctx));
606: PetscCall(MatSetType(fetidpmat_ctx->B_Ddelta, MATSHELL));
607: PetscCall(MatShellSetContext(fetidpmat_ctx->B_Ddelta, ctx));
608: PetscCall(MatShellSetOperation(fetidpmat_ctx->B_Ddelta, MATOP_MULT, (PetscErrorCodeFn *)MatMult_BDdelta_deluxe_nonred));
609: PetscCall(MatShellSetOperation(fetidpmat_ctx->B_Ddelta, MATOP_MULT_TRANSPOSE, (PetscErrorCodeFn *)MatMultTranspose_BDdelta_deluxe_nonred));
610: PetscCall(MatShellSetOperation(fetidpmat_ctx->B_Ddelta, MATOP_DESTROY, (PetscErrorCodeFn *)MatDestroy_BDdelta_deluxe_nonred));
611: PetscCall(MatSetUp(fetidpmat_ctx->B_Ddelta));
613: PetscCall(PetscObjectReference((PetscObject)BD1));
614: ctx->BD = BD1;
615: PetscCall(KSPCreate(PETSC_COMM_SELF, &ctx->kBD));
616: PetscCall(KSPSetNestLevel(ctx->kBD, fetidpmat_ctx->pc->kspnestlevel));
617: PetscCall(KSPSetOperators(ctx->kBD, BD2, BD2));
618: PetscCall(VecDuplicate(fetidpmat_ctx->lambda_local, &ctx->work));
619: fetidpmat_ctx->deluxe_nonred = PETSC_TRUE;
620: }
621: PetscCall(MatDestroy(&BD1));
622: PetscCall(MatDestroy(&BD2));
624: /* fetidpmat sizes */
625: fetidpmat_ctx->n += nPgl;
626: fetidpmat_ctx->N = fetidpmat_ctx->n_lambda + nPg;
628: /* Global vector for FETI-DP linear system */
629: PetscCall(VecCreate(comm, &fetidp_global));
630: PetscCall(VecSetSizes(fetidp_global, fetidpmat_ctx->n, fetidpmat_ctx->N));
631: PetscCall(VecSetType(fetidp_global, VECMPI));
632: PetscCall(VecSetUp(fetidp_global));
634: /* Decide layout for fetidp dofs: if it is a saddle point problem
635: pressure is ordered first in the local part of the global vector
636: of the FETI-DP linear system */
637: if (nPg) {
638: Vec v;
639: IS IS_l2g_p, ais;
640: PetscLayout alay;
641: const PetscInt *idxs, *pranges, *aranges, *lranges;
642: PetscInt *l2g_indices_p, rst;
643: PetscMPIInt rank;
645: PetscCall(PetscMalloc1(nPl, &l2g_indices_p));
646: PetscCall(VecGetLayout(fetidp_global, &alay));
647: PetscCall(PetscLayoutGetRanges(alay, &aranges));
648: PetscCall(PetscLayoutGetRanges(play, &pranges));
649: PetscCall(PetscLayoutGetRanges(llay, &lranges));
651: PetscCallMPI(MPI_Comm_rank(PetscObjectComm((PetscObject)fetidp_global), &rank));
652: PetscCall(ISCreateStride(PetscObjectComm((PetscObject)fetidp_global), pranges[rank + 1] - pranges[rank], aranges[rank], 1, &fetidpmat_ctx->pressure));
653: PetscCall(PetscObjectSetName((PetscObject)fetidpmat_ctx->pressure, "F_P"));
654: PetscCall(ISCreateStride(PetscObjectComm((PetscObject)fetidp_global), lranges[rank + 1] - lranges[rank], aranges[rank] + pranges[rank + 1] - pranges[rank], 1, &fetidpmat_ctx->lagrange));
655: PetscCall(PetscObjectSetName((PetscObject)fetidpmat_ctx->lagrange, "F_L"));
656: PetscCall(ISLocalToGlobalMappingGetIndices(l2gmap_p, &idxs));
657: /* shift local to global indices for pressure */
658: for (i = 0; i < nPl; i++) {
659: PetscMPIInt owner;
661: PetscCall(PetscLayoutFindOwner(play, idxs[i], &owner));
662: l2g_indices_p[i] = idxs[i] - pranges[owner] + aranges[owner];
663: }
664: PetscCall(ISLocalToGlobalMappingRestoreIndices(l2gmap_p, &idxs));
665: PetscCall(ISCreateGeneral(comm, nPl, l2g_indices_p, PETSC_OWN_POINTER, &IS_l2g_p));
667: /* local to global scatter for pressure */
668: PetscCall(VecScatterCreate(fetidpmat_ctx->vP, NULL, fetidp_global, IS_l2g_p, &fetidpmat_ctx->l2g_p));
669: PetscCall(ISDestroy(&IS_l2g_p));
671: /* scatter for lagrange multipliers only */
672: PetscCall(VecCreate(comm, &v));
673: PetscCall(VecSetType(v, VECSTANDARD));
674: PetscCall(VecSetLayout(v, llay));
675: PetscCall(VecSetUp(v));
676: PetscCall(ISCreateGeneral(comm, n_local_lambda, l2g_indices, PETSC_COPY_VALUES, &ais));
677: PetscCall(VecScatterCreate(fetidpmat_ctx->lambda_local, NULL, v, ais, &fetidpmat_ctx->l2g_lambda_only));
678: PetscCall(ISDestroy(&ais));
679: PetscCall(VecDestroy(&v));
681: /* shift local to global indices for multipliers */
682: for (i = 0; i < n_local_lambda; i++) {
683: PetscInt ps;
684: PetscMPIInt owner;
686: PetscCall(PetscLayoutFindOwner(llay, l2g_indices[i], &owner));
687: ps = pranges[owner + 1] - pranges[owner];
688: l2g_indices[i] = l2g_indices[i] - lranges[owner] + aranges[owner] + ps;
689: }
691: /* scatter from alldofs to pressures global fetidp vector */
692: PetscCall(PetscLayoutGetRange(alay, &rst, NULL));
693: PetscCall(ISCreateStride(comm, nPgl, rst, 1, &ais));
694: PetscCall(VecScatterCreate(pcis->vec1_global, pP, fetidp_global, ais, &fetidpmat_ctx->g2g_p));
695: PetscCall(ISDestroy(&ais));
696: }
697: PetscCall(PetscLayoutDestroy(&llay));
698: PetscCall(PetscLayoutDestroy(&play));
699: PetscCall(ISCreateGeneral(comm, n_local_lambda, l2g_indices, PETSC_OWN_POINTER, &IS_l2g_lambda));
701: /* scatter from local to global multipliers */
702: PetscCall(VecScatterCreate(fetidpmat_ctx->lambda_local, NULL, fetidp_global, IS_l2g_lambda, &fetidpmat_ctx->l2g_lambda));
703: PetscCall(ISDestroy(&IS_l2g_lambda));
704: PetscCall(ISLocalToGlobalMappingDestroy(&l2gmap_p));
705: PetscCall(VecDestroy(&fetidp_global));
707: /* Create some work vectors needed by fetidp */
708: PetscCall(VecDuplicate(pcis->vec1_B, &fetidpmat_ctx->temp_solution_B));
709: PetscCall(VecDuplicate(pcis->vec1_D, &fetidpmat_ctx->temp_solution_D));
710: PetscFunctionReturn(PETSC_SUCCESS);
711: }
713: PetscErrorCode PCBDDCSetupFETIDPPCContext(Mat fetimat, FETIDPPC_ctx fetidppc_ctx)
714: {
715: FETIDPMat_ctx mat_ctx;
716: PC_BDDC *pcbddc = (PC_BDDC *)fetidppc_ctx->pc->data;
717: PC_IS *pcis = (PC_IS *)fetidppc_ctx->pc->data;
718: PetscBool lumped = PETSC_FALSE;
720: PetscFunctionBegin;
721: PetscCall(MatShellGetContext(fetimat, &mat_ctx));
722: /* get references from objects created when setting up feti mat context */
723: PetscCall(PetscObjectReference((PetscObject)mat_ctx->lambda_local));
724: fetidppc_ctx->lambda_local = mat_ctx->lambda_local;
725: PetscCall(PetscObjectReference((PetscObject)mat_ctx->B_Ddelta));
726: fetidppc_ctx->B_Ddelta = mat_ctx->B_Ddelta;
727: if (mat_ctx->deluxe_nonred) {
728: PC pc, mpc;
729: BDdelta_DN ctx;
730: MatSolverType solver;
731: const char *prefix;
733: PetscCall(MatShellGetContext(mat_ctx->B_Ddelta, &ctx));
734: PetscCall(KSPSetType(ctx->kBD, KSPPREONLY));
735: PetscCall(KSPGetPC(ctx->kBD, &mpc));
736: PetscCall(KSPGetPC(pcbddc->ksp_D, &pc));
737: PetscCall(PCSetType(mpc, PCLU));
738: PetscCall(PCFactorGetMatSolverType(pc, &solver));
739: if (solver) PetscCall(PCFactorSetMatSolverType(mpc, solver));
740: PetscCall(MatGetOptionsPrefix(fetimat, &prefix));
741: PetscCall(KSPSetOptionsPrefix(ctx->kBD, prefix));
742: PetscCall(KSPAppendOptionsPrefix(ctx->kBD, "bddelta_"));
743: PetscCall(KSPSetFromOptions(ctx->kBD));
744: }
746: if (mat_ctx->l2g_lambda_only) {
747: PetscCall(PetscObjectReference((PetscObject)mat_ctx->l2g_lambda_only));
748: fetidppc_ctx->l2g_lambda = mat_ctx->l2g_lambda_only;
749: } else {
750: PetscCall(PetscObjectReference((PetscObject)mat_ctx->l2g_lambda));
751: fetidppc_ctx->l2g_lambda = mat_ctx->l2g_lambda;
752: }
753: /* Dirichlet preconditioner */
754: PetscCall(PetscOptionsGetBool(NULL, ((PetscObject)fetimat)->prefix, "-pc_lumped", &lumped, NULL));
755: if (!lumped) {
756: IS iV;
757: PetscBool discrete_harmonic = PETSC_FALSE;
759: PetscCall(PetscObjectQuery((PetscObject)fetidppc_ctx->pc, "__KSPFETIDP_iV", (PetscObject *)&iV));
760: if (iV) PetscCall(PetscOptionsGetBool(NULL, ((PetscObject)fetimat)->prefix, "-pc_discrete_harmonic", &discrete_harmonic, NULL));
761: if (discrete_harmonic) {
762: KSP sksp;
763: PC pc;
764: PCBDDCSubSchurs sub_schurs = pcbddc->sub_schurs;
765: Mat A_II, A_IB, A_BI;
766: IS iP = NULL;
767: PetscBool isshell, reuse = PETSC_FALSE;
768: KSPType ksptype;
769: const char *prefix;
771: /*
772: We constructs a Schur complement for
774: | A_II A_ID |
775: | A_DI A_DD |
777: instead of
779: | A_II B^t_II A_ID |
780: | B_II -C_II B_ID |
781: | A_DI B^t_ID A_DD |
783: */
784: if (sub_schurs && sub_schurs->reuse_solver) {
785: PetscCall(PetscObjectQuery((PetscObject)sub_schurs->A, "__KSPFETIDP_iP", (PetscObject *)&iP));
786: if (iP) reuse = PETSC_TRUE;
787: }
788: if (!reuse) {
789: IS aB;
790: PetscInt nb;
791: PetscCall(ISGetLocalSize(pcis->is_B_local, &nb));
792: PetscCall(ISCreateStride(PetscObjectComm((PetscObject)pcis->A_II), nb, 0, 1, &aB));
793: PetscCall(MatCreateSubMatrix(pcis->A_II, iV, iV, MAT_INITIAL_MATRIX, &A_II));
794: PetscCall(MatCreateSubMatrix(pcis->A_IB, iV, aB, MAT_INITIAL_MATRIX, &A_IB));
795: PetscCall(MatCreateSubMatrix(pcis->A_BI, aB, iV, MAT_INITIAL_MATRIX, &A_BI));
796: PetscCall(ISDestroy(&aB));
797: } else {
798: PetscCall(MatCreateSubMatrix(sub_schurs->A, pcis->is_I_local, pcis->is_B_local, MAT_INITIAL_MATRIX, &A_IB));
799: PetscCall(MatCreateSubMatrix(sub_schurs->A, pcis->is_B_local, pcis->is_I_local, MAT_INITIAL_MATRIX, &A_BI));
800: PetscCall(PetscObjectReference((PetscObject)pcis->A_II));
801: A_II = pcis->A_II;
802: }
803: PetscCall(MatCreateSchurComplement(A_II, A_II, A_IB, A_BI, pcis->A_BB, &fetidppc_ctx->S_j));
805: /* propagate settings of solver */
806: PetscCall(MatSchurComplementGetKSP(fetidppc_ctx->S_j, &sksp));
807: PetscCall(KSPGetType(pcis->ksp_D, &ksptype));
808: PetscCall(KSPSetType(sksp, ksptype));
809: PetscCall(KSPGetPC(pcis->ksp_D, &pc));
810: PetscCall(PetscObjectTypeCompare((PetscObject)pc, PCSHELL, &isshell));
811: if (!isshell) {
812: MatSolverType solver;
813: PCType pctype;
815: PetscCall(PCGetType(pc, &pctype));
816: PetscCall(PCFactorGetMatSolverType(pc, &solver));
817: PetscCall(KSPGetPC(sksp, &pc));
818: PetscCall(PCSetType(pc, pctype));
819: if (solver) PetscCall(PCFactorSetMatSolverType(pc, solver));
820: } else {
821: PetscCall(KSPGetPC(sksp, &pc));
822: PetscCall(PCSetType(pc, PCLU));
823: }
824: PetscCall(MatDestroy(&A_II));
825: PetscCall(MatDestroy(&A_IB));
826: PetscCall(MatDestroy(&A_BI));
827: PetscCall(MatGetOptionsPrefix(fetimat, &prefix));
828: PetscCall(KSPSetOptionsPrefix(sksp, prefix));
829: PetscCall(KSPAppendOptionsPrefix(sksp, "harmonic_"));
830: PetscCall(KSPSetFromOptions(sksp));
831: if (reuse) {
832: PetscCall(KSPSetPC(sksp, sub_schurs->reuse_solver->interior_solver));
833: PetscCall(PetscObjectIncrementTabLevel((PetscObject)sub_schurs->reuse_solver->interior_solver, (PetscObject)sksp, 0));
834: }
835: } else { /* default Dirichlet preconditioner is pde-harmonic */
836: PetscCall(MatCreateSchurComplement(pcis->A_II, pcis->A_II, pcis->A_IB, pcis->A_BI, pcis->A_BB, &fetidppc_ctx->S_j));
837: PetscCall(MatSchurComplementSetKSP(fetidppc_ctx->S_j, pcis->ksp_D));
838: }
839: } else {
840: PetscCall(PetscObjectReference((PetscObject)pcis->A_BB));
841: fetidppc_ctx->S_j = pcis->A_BB;
842: }
843: /* saddle-point */
844: if (mat_ctx->xPg) {
845: PetscCall(PetscObjectReference((PetscObject)mat_ctx->xPg));
846: fetidppc_ctx->xPg = mat_ctx->xPg;
847: PetscCall(PetscObjectReference((PetscObject)mat_ctx->yPg));
848: fetidppc_ctx->yPg = mat_ctx->yPg;
849: }
850: PetscFunctionReturn(PETSC_SUCCESS);
851: }
853: static PetscErrorCode FETIDPMatMult_Kernel(Mat fetimat, Vec x, Vec y, PetscBool trans)
854: {
855: FETIDPMat_ctx mat_ctx;
856: PC_BDDC *pcbddc;
857: PC_IS *pcis;
859: PetscFunctionBegin;
860: PetscCall(MatShellGetContext(fetimat, &mat_ctx));
861: pcis = (PC_IS *)mat_ctx->pc->data;
862: pcbddc = (PC_BDDC *)mat_ctx->pc->data;
863: /* Application of B_delta^T */
864: PetscCall(VecSet(pcis->vec1_B, 0.));
865: PetscCall(VecScatterBegin(mat_ctx->l2g_lambda, x, mat_ctx->lambda_local, INSERT_VALUES, SCATTER_REVERSE));
866: PetscCall(VecScatterEnd(mat_ctx->l2g_lambda, x, mat_ctx->lambda_local, INSERT_VALUES, SCATTER_REVERSE));
867: PetscCall(MatMultTranspose(mat_ctx->B_delta, mat_ctx->lambda_local, pcis->vec1_B));
869: /* Add contribution from saddle point */
870: if (mat_ctx->l2g_p) {
871: PetscCall(VecScatterBegin(mat_ctx->l2g_p, x, mat_ctx->vP, INSERT_VALUES, SCATTER_REVERSE));
872: PetscCall(VecScatterEnd(mat_ctx->l2g_p, x, mat_ctx->vP, INSERT_VALUES, SCATTER_REVERSE));
873: if (pcbddc->switch_static) {
874: if (trans) {
875: PetscCall(MatMultTranspose(mat_ctx->B_BI, mat_ctx->vP, pcis->vec1_D));
876: } else {
877: PetscCall(MatMult(mat_ctx->Bt_BI, mat_ctx->vP, pcis->vec1_D));
878: }
879: }
880: if (trans) {
881: PetscCall(MatMultTransposeAdd(mat_ctx->B_BB, mat_ctx->vP, pcis->vec1_B, pcis->vec1_B));
882: } else {
883: PetscCall(MatMultAdd(mat_ctx->Bt_BB, mat_ctx->vP, pcis->vec1_B, pcis->vec1_B));
884: }
885: } else {
886: if (pcbddc->switch_static) PetscCall(VecSet(pcis->vec1_D, 0.0));
887: }
888: /* Application of \widetilde{S}^-1 */
889: PetscCall(PetscArrayzero(pcbddc->benign_p0, pcbddc->benign_n));
890: PetscCall(PCBDDCApplyInterfacePreconditioner(mat_ctx->pc, trans));
891: PetscCall(PetscArrayzero(pcbddc->benign_p0, pcbddc->benign_n));
892: PetscCall(VecSet(y, 0.0));
893: /* Application of B_delta */
894: PetscCall(MatMult(mat_ctx->B_delta, pcis->vec1_B, mat_ctx->lambda_local));
895: /* Contribution from boundary pressures */
896: if (mat_ctx->C) {
897: const PetscScalar *lx;
898: PetscScalar *ly;
900: /* pressure ordered first in the local part of x and y */
901: PetscCall(VecGetArrayRead(x, &lx));
902: PetscCall(VecGetArray(y, &ly));
903: PetscCall(VecPlaceArray(mat_ctx->xPg, lx));
904: PetscCall(VecPlaceArray(mat_ctx->yPg, ly));
905: if (trans) {
906: PetscCall(MatMultTranspose(mat_ctx->C, mat_ctx->xPg, mat_ctx->yPg));
907: } else {
908: PetscCall(MatMult(mat_ctx->C, mat_ctx->xPg, mat_ctx->yPg));
909: }
910: PetscCall(VecResetArray(mat_ctx->xPg));
911: PetscCall(VecResetArray(mat_ctx->yPg));
912: PetscCall(VecRestoreArrayRead(x, &lx));
913: PetscCall(VecRestoreArray(y, &ly));
914: }
915: /* Add contribution from saddle point */
916: if (mat_ctx->l2g_p) {
917: PetscCall(VecISSet(pcis->vec1_B, mat_ctx->lP_B, 0));
918: if (trans) {
919: PetscCall(MatMultTranspose(mat_ctx->Bt_BB, pcis->vec1_B, mat_ctx->vP));
920: } else {
921: PetscCall(MatMult(mat_ctx->B_BB, pcis->vec1_B, mat_ctx->vP));
922: }
923: if (pcbddc->switch_static) {
924: PetscCall(VecISSet(pcis->vec1_D, mat_ctx->lP_I, 0));
925: if (trans) {
926: PetscCall(MatMultTransposeAdd(mat_ctx->Bt_BI, pcis->vec1_D, mat_ctx->vP, mat_ctx->vP));
927: } else {
928: PetscCall(MatMultAdd(mat_ctx->B_BI, pcis->vec1_D, mat_ctx->vP, mat_ctx->vP));
929: }
930: }
931: PetscCall(VecScatterBegin(mat_ctx->l2g_p, mat_ctx->vP, y, ADD_VALUES, SCATTER_FORWARD));
932: PetscCall(VecScatterEnd(mat_ctx->l2g_p, mat_ctx->vP, y, ADD_VALUES, SCATTER_FORWARD));
933: }
934: PetscCall(VecScatterBegin(mat_ctx->l2g_lambda, mat_ctx->lambda_local, y, ADD_VALUES, SCATTER_FORWARD));
935: PetscCall(VecScatterEnd(mat_ctx->l2g_lambda, mat_ctx->lambda_local, y, ADD_VALUES, SCATTER_FORWARD));
936: PetscFunctionReturn(PETSC_SUCCESS);
937: }
939: PetscErrorCode FETIDPMatMult(Mat fetimat, Vec x, Vec y)
940: {
941: PetscFunctionBegin;
942: PetscCall(FETIDPMatMult_Kernel(fetimat, x, y, PETSC_FALSE));
943: PetscFunctionReturn(PETSC_SUCCESS);
944: }
946: PetscErrorCode FETIDPMatMultTranspose(Mat fetimat, Vec x, Vec y)
947: {
948: PetscFunctionBegin;
949: PetscCall(FETIDPMatMult_Kernel(fetimat, x, y, PETSC_TRUE));
950: PetscFunctionReturn(PETSC_SUCCESS);
951: }
953: static PetscErrorCode FETIDPPCApply_Kernel(PC fetipc, Vec x, Vec y, PetscBool trans)
954: {
955: FETIDPPC_ctx pc_ctx;
956: PC_IS *pcis;
958: PetscFunctionBegin;
959: PetscCall(PCShellGetContext(fetipc, &pc_ctx));
960: pcis = (PC_IS *)pc_ctx->pc->data;
961: /* Application of B_Ddelta^T */
962: PetscCall(VecScatterBegin(pc_ctx->l2g_lambda, x, pc_ctx->lambda_local, INSERT_VALUES, SCATTER_REVERSE));
963: PetscCall(VecScatterEnd(pc_ctx->l2g_lambda, x, pc_ctx->lambda_local, INSERT_VALUES, SCATTER_REVERSE));
964: PetscCall(VecSet(pcis->vec2_B, 0.0));
965: PetscCall(MatMultTranspose(pc_ctx->B_Ddelta, pc_ctx->lambda_local, pcis->vec2_B));
966: /* Application of local Schur complement */
967: if (trans) {
968: PetscCall(MatMultTranspose(pc_ctx->S_j, pcis->vec2_B, pcis->vec1_B));
969: } else {
970: PetscCall(MatMult(pc_ctx->S_j, pcis->vec2_B, pcis->vec1_B));
971: }
972: /* Application of B_Ddelta */
973: PetscCall(MatMult(pc_ctx->B_Ddelta, pcis->vec1_B, pc_ctx->lambda_local));
974: PetscCall(VecSet(y, 0.0));
975: PetscCall(VecScatterBegin(pc_ctx->l2g_lambda, pc_ctx->lambda_local, y, ADD_VALUES, SCATTER_FORWARD));
976: PetscCall(VecScatterEnd(pc_ctx->l2g_lambda, pc_ctx->lambda_local, y, ADD_VALUES, SCATTER_FORWARD));
977: PetscFunctionReturn(PETSC_SUCCESS);
978: }
980: PetscErrorCode FETIDPPCApply(PC pc, Vec x, Vec y)
981: {
982: PetscFunctionBegin;
983: PetscCall(FETIDPPCApply_Kernel(pc, x, y, PETSC_FALSE));
984: PetscFunctionReturn(PETSC_SUCCESS);
985: }
987: PetscErrorCode FETIDPPCApplyTranspose(PC pc, Vec x, Vec y)
988: {
989: PetscFunctionBegin;
990: PetscCall(FETIDPPCApply_Kernel(pc, x, y, PETSC_TRUE));
991: PetscFunctionReturn(PETSC_SUCCESS);
992: }
994: PetscErrorCode FETIDPPCView(PC pc, PetscViewer viewer)
995: {
996: FETIDPPC_ctx pc_ctx;
997: PetscBool isascii;
998: PetscViewer sviewer;
1000: PetscFunctionBegin;
1001: PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERASCII, &isascii));
1002: if (isascii) {
1003: PetscMPIInt rank;
1004: PetscBool isschur, isshell;
1006: PetscCall(PCShellGetContext(pc, &pc_ctx));
1007: PetscCallMPI(MPI_Comm_rank(PetscObjectComm((PetscObject)pc), &rank));
1008: PetscCall(PetscObjectTypeCompare((PetscObject)pc_ctx->S_j, MATSCHURCOMPLEMENT, &isschur));
1009: if (isschur) {
1010: PetscCall(PetscViewerASCIIPrintf(viewer, " Dirichlet preconditioner (just from rank 0)\n"));
1011: } else {
1012: PetscCall(PetscViewerASCIIPrintf(viewer, " Lumped preconditioner (just from rank 0)\n"));
1013: }
1014: PetscCall(PetscViewerGetSubViewer(viewer, PetscObjectComm((PetscObject)pc_ctx->S_j), &sviewer));
1015: if (rank == 0) {
1016: PetscCall(PetscViewerPushFormat(sviewer, PETSC_VIEWER_ASCII_INFO));
1017: PetscCall(PetscViewerASCIIPushTab(sviewer));
1018: PetscCall(MatView(pc_ctx->S_j, sviewer));
1019: PetscCall(PetscViewerASCIIPopTab(sviewer));
1020: PetscCall(PetscViewerPopFormat(sviewer));
1021: }
1022: PetscCall(PetscViewerRestoreSubViewer(viewer, PetscObjectComm((PetscObject)pc_ctx->S_j), &sviewer));
1023: PetscCall(PetscObjectTypeCompare((PetscObject)pc_ctx->B_Ddelta, MATSHELL, &isshell));
1024: if (isshell) {
1025: BDdelta_DN ctx;
1026: PetscCall(PetscViewerASCIIPrintf(viewer, " FETI-DP BDdelta: DB^t * (B D^-1 B^t)^-1 for deluxe scaling (just from rank 0)\n"));
1027: PetscCall(MatShellGetContext(pc_ctx->B_Ddelta, &ctx));
1028: PetscCall(PetscViewerGetSubViewer(viewer, PetscObjectComm((PetscObject)pc_ctx->S_j), &sviewer));
1029: if (rank == 0) {
1030: PetscInt tl;
1032: PetscCall(PetscViewerASCIIGetTab(sviewer, &tl));
1033: PetscCall(PetscObjectSetTabLevel((PetscObject)ctx->kBD, tl));
1034: PetscCall(KSPView(ctx->kBD, sviewer));
1035: PetscCall(PetscViewerPushFormat(sviewer, PETSC_VIEWER_ASCII_INFO));
1036: PetscCall(MatView(ctx->BD, sviewer));
1037: PetscCall(PetscViewerPopFormat(sviewer));
1038: }
1039: PetscCall(PetscViewerRestoreSubViewer(viewer, PetscObjectComm((PetscObject)pc_ctx->S_j), &sviewer));
1040: }
1041: PetscCall(PetscViewerFlush(viewer));
1042: }
1043: PetscFunctionReturn(PETSC_SUCCESS);
1044: }