Actual source code: bddcfetidp.c
petsc-3.7.3 2016-08-01
1: #include <../src/ksp/pc/impls/bddc/bddc.h>
2: #include <../src/ksp/pc/impls/bddc/bddcprivate.h>
6: PetscErrorCode PCBDDCCreateFETIDPMatContext(PC pc, FETIDPMat_ctx *fetidpmat_ctx)
7: {
8: FETIDPMat_ctx newctx;
12: PetscNew(&newctx);
13: newctx->lambda_local = 0;
14: newctx->temp_solution_B = 0;
15: newctx->temp_solution_D = 0;
16: newctx->B_delta = 0;
17: newctx->B_Ddelta = 0; /* theoretically belongs to the FETIDP preconditioner */
18: newctx->l2g_lambda = 0;
19: /* increase the reference count for BDDC preconditioner */
20: PetscObjectReference((PetscObject)pc);
21: newctx->pc = pc;
22: *fetidpmat_ctx = newctx;
23: return(0);
24: }
28: PetscErrorCode PCBDDCCreateFETIDPPCContext(PC pc, FETIDPPC_ctx *fetidppc_ctx)
29: {
30: FETIDPPC_ctx newctx;
34: PetscNew(&newctx);
35: newctx->lambda_local = 0;
36: newctx->B_Ddelta = 0;
37: newctx->l2g_lambda = 0;
38: /* increase the reference count for BDDC preconditioner */
39: PetscObjectReference((PetscObject)pc);
40: newctx->pc = pc;
41: *fetidppc_ctx = newctx;
42: return(0);
43: }
47: PetscErrorCode PCBDDCDestroyFETIDPMat(Mat A)
48: {
49: FETIDPMat_ctx mat_ctx;
53: MatShellGetContext(A,(void**)&mat_ctx);
54: VecDestroy(&mat_ctx->lambda_local);
55: VecDestroy(&mat_ctx->temp_solution_D);
56: VecDestroy(&mat_ctx->temp_solution_B);
57: MatDestroy(&mat_ctx->B_delta);
58: MatDestroy(&mat_ctx->B_Ddelta);
59: VecScatterDestroy(&mat_ctx->l2g_lambda);
60: PCDestroy(&mat_ctx->pc); /* decrease PCBDDC reference count */
61: PetscFree(mat_ctx);
62: return(0);
63: }
67: PetscErrorCode PCBDDCDestroyFETIDPPC(PC pc)
68: {
69: FETIDPPC_ctx pc_ctx;
73: PCShellGetContext(pc,(void**)&pc_ctx);
74: VecDestroy(&pc_ctx->lambda_local);
75: MatDestroy(&pc_ctx->B_Ddelta);
76: VecScatterDestroy(&pc_ctx->l2g_lambda);
77: MatDestroy(&pc_ctx->S_j);
78: PCDestroy(&pc_ctx->pc); /* decrease PCBDDC reference count */
79: PetscFree(pc_ctx);
80: return(0);
81: }
85: PetscErrorCode PCBDDCSetupFETIDPMatContext(FETIDPMat_ctx fetidpmat_ctx )
86: {
88: PC_IS *pcis=(PC_IS*)fetidpmat_ctx->pc->data;
89: PC_BDDC *pcbddc=(PC_BDDC*)fetidpmat_ctx->pc->data;
90: PCBDDCGraph mat_graph=pcbddc->mat_graph;
91: Mat_IS *matis = (Mat_IS*)fetidpmat_ctx->pc->pmat->data;
92: MPI_Comm comm;
93: Mat ScalingMat;
94: Vec lambda_global;
95: IS IS_l2g_lambda;
96: IS subset,subset_mult,subset_n;
97: PetscBool skip_node,fully_redundant;
98: PetscInt i,j,k,s,n_boundary_dofs,n_global_lambda,n_vertices,partial_sum;
99: PetscInt cum,n_local_lambda,n_lambda_for_dof,dual_size,n_neg_values,n_pos_values;
100: PetscMPIInt rank,size,buf_size,neigh;
101: PetscScalar scalar_value;
102: PetscInt *vertex_indices;
103: PetscInt *dual_dofs_boundary_indices,*aux_local_numbering_1;
104: const PetscInt *aux_global_numbering;
105: PetscInt *aux_sums,*cols_B_delta,*l2g_indices;
106: PetscScalar *array,*scaling_factors,*vals_B_delta;
107: PetscInt *aux_local_numbering_2;
108: /* For communication of scaling factors */
109: PetscInt *ptrs_buffer,neigh_position;
110: PetscScalar **all_factors,*send_buffer,*recv_buffer;
111: MPI_Request *send_reqs,*recv_reqs;
112: /* tests */
113: Vec test_vec;
114: PetscBool test_fetidp;
115: PetscViewer viewer;
118: PetscObjectGetComm((PetscObject)(fetidpmat_ctx->pc),&comm);
119: MPI_Comm_rank(comm,&rank);
120: MPI_Comm_size(comm,&size);
122: /* Default type of lagrange multipliers is non-redundant */
123: fully_redundant = PETSC_FALSE;
124: PetscOptionsGetBool(NULL,NULL,"-fetidp_fullyredundant",&fully_redundant,NULL);
126: /* Evaluate local and global number of lagrange multipliers */
127: VecSet(pcis->vec1_N,0.0);
128: n_local_lambda = 0;
129: partial_sum = 0;
130: n_boundary_dofs = 0;
131: s = 0;
132: /* Get Vertices used to define the BDDC */
133: n_vertices = pcbddc->n_vertices;
134: vertex_indices = pcbddc->local_primal_ref_node;
135: dual_size = pcis->n_B-n_vertices;
136: PetscMalloc1(dual_size,&dual_dofs_boundary_indices);
137: PetscMalloc1(dual_size,&aux_local_numbering_1);
138: PetscMalloc1(dual_size,&aux_local_numbering_2);
140: VecGetArray(pcis->vec1_N,&array);
141: for (i=0;i<pcis->n;i++){
142: j = mat_graph->count[i]; /* RECALL: mat_graph->count[i] does not count myself */
143: if ( j > 0 ) {
144: n_boundary_dofs++;
145: }
146: skip_node = PETSC_FALSE;
147: if ( s < n_vertices && vertex_indices[s]==i) { /* it works for a sorted set of vertices */
148: skip_node = PETSC_TRUE;
149: s++;
150: }
151: if (j < 1) {
152: skip_node = PETSC_TRUE;
153: }
154: if ( !skip_node ) {
155: if (fully_redundant) {
156: /* fully redundant set of lagrange multipliers */
157: n_lambda_for_dof = (j*(j+1))/2;
158: } else {
159: n_lambda_for_dof = j;
160: }
161: n_local_lambda += j;
162: /* needed to evaluate global number of lagrange multipliers */
163: array[i]=(1.0*n_lambda_for_dof)/(j+1.0); /* already scaled for the next global sum */
164: /* store some data needed */
165: dual_dofs_boundary_indices[partial_sum] = n_boundary_dofs-1;
166: aux_local_numbering_1[partial_sum] = i;
167: aux_local_numbering_2[partial_sum] = n_lambda_for_dof;
168: partial_sum++;
169: }
170: }
171: VecRestoreArray(pcis->vec1_N,&array);
173: VecSet(pcis->vec1_global,0.0);
174: VecScatterBegin(matis->rctx,pcis->vec1_N,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);
175: VecScatterEnd(matis->rctx,pcis->vec1_N,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);
176: VecSum(pcis->vec1_global,&scalar_value);
177: fetidpmat_ctx->n_lambda = (PetscInt)PetscRealPart(scalar_value);
179: /* compute global ordering of lagrange multipliers and associate l2g map */
180: ISCreateGeneral(comm,partial_sum,aux_local_numbering_1,PETSC_COPY_VALUES,&subset_n);
181: ISLocalToGlobalMappingApplyIS(pcis->mapping,subset_n,&subset);
182: ISDestroy(&subset_n);
183: ISCreateGeneral(comm,partial_sum,aux_local_numbering_2,PETSC_OWN_POINTER,&subset_mult);
184: PCBDDCSubsetNumbering(subset,subset_mult,&i,&subset_n);
185: ISDestroy(&subset);
186: if (i != fetidpmat_ctx->n_lambda) SETERRQ2(PETSC_COMM_WORLD,PETSC_ERR_PLIB,"Global number of multipliers mismatch! (%d!=%d)\n",fetidpmat_ctx->n_lambda,i);
188: /* init data for scaling factors exchange */
189: partial_sum = 0;
190: PetscMalloc1(pcis->n_neigh,&ptrs_buffer);
191: PetscMalloc1(pcis->n_neigh-1,&send_reqs);
192: PetscMalloc1(pcis->n_neigh-1,&recv_reqs);
193: PetscMalloc1(pcis->n,&all_factors);
194: ptrs_buffer[0]=0;
195: for (i=1;i<pcis->n_neigh;i++) {
196: partial_sum += pcis->n_shared[i];
197: ptrs_buffer[i] = ptrs_buffer[i-1]+pcis->n_shared[i];
198: }
199: PetscMalloc1(partial_sum,&send_buffer);
200: PetscMalloc1(partial_sum,&recv_buffer);
201: PetscMalloc1(partial_sum,&all_factors[0]);
202: for (i=0;i<pcis->n-1;i++) {
203: j = mat_graph->count[i];
204: all_factors[i+1]=all_factors[i]+j;
205: }
206: /* scatter B scaling to N vec */
207: VecScatterBegin(pcis->N_to_B,pcis->D,pcis->vec1_N,INSERT_VALUES,SCATTER_REVERSE);
208: VecScatterEnd(pcis->N_to_B,pcis->D,pcis->vec1_N,INSERT_VALUES,SCATTER_REVERSE);
209: /* communications */
210: VecGetArrayRead(pcis->vec1_N,(const PetscScalar**)&array);
211: for (i=1;i<pcis->n_neigh;i++) {
212: for (j=0;j<pcis->n_shared[i];j++) {
213: send_buffer[ptrs_buffer[i-1]+j]=array[pcis->shared[i][j]];
214: }
215: PetscMPIIntCast(ptrs_buffer[i]-ptrs_buffer[i-1],&buf_size);
216: PetscMPIIntCast(pcis->neigh[i],&neigh);
217: MPI_Isend(&send_buffer[ptrs_buffer[i-1]],buf_size,MPIU_SCALAR,neigh,0,comm,&send_reqs[i-1]);
218: MPI_Irecv(&recv_buffer[ptrs_buffer[i-1]],buf_size,MPIU_SCALAR,neigh,0,comm,&recv_reqs[i-1]);
219: }
220: VecRestoreArrayRead(pcis->vec1_N,(const PetscScalar**)&array);
221: MPI_Waitall((pcis->n_neigh-1),recv_reqs,MPI_STATUSES_IGNORE);
222: /* put values in correct places */
223: for (i=1;i<pcis->n_neigh;i++) {
224: for (j=0;j<pcis->n_shared[i];j++) {
225: k = pcis->shared[i][j];
226: neigh_position = 0;
227: while(mat_graph->neighbours_set[k][neigh_position] != pcis->neigh[i]) {neigh_position++;}
228: all_factors[k][neigh_position]=recv_buffer[ptrs_buffer[i-1]+j];
229: }
230: }
231: MPI_Waitall((pcis->n_neigh-1),send_reqs,MPI_STATUSES_IGNORE);
232: PetscFree(send_reqs);
233: PetscFree(recv_reqs);
234: PetscFree(send_buffer);
235: PetscFree(recv_buffer);
236: PetscFree(ptrs_buffer);
238: /* Compute B and B_delta (local actions) */
239: PetscMalloc1(pcis->n_neigh,&aux_sums);
240: PetscMalloc1(n_local_lambda,&l2g_indices);
241: PetscMalloc1(n_local_lambda,&vals_B_delta);
242: PetscMalloc1(n_local_lambda,&cols_B_delta);
243: PetscMalloc1(n_local_lambda,&scaling_factors);
244: ISGetIndices(subset_n,&aux_global_numbering);
245: partial_sum=0;
246: cum = 0;
247: for (i=0;i<dual_size;i++) {
248: n_global_lambda = aux_global_numbering[cum];
249: j = mat_graph->count[aux_local_numbering_1[i]];
250: aux_sums[0]=0;
251: for (s=1;s<j;s++) {
252: aux_sums[s]=aux_sums[s-1]+j-s+1;
253: }
254: array = all_factors[aux_local_numbering_1[i]];
255: n_neg_values = 0;
256: while(n_neg_values < j && mat_graph->neighbours_set[aux_local_numbering_1[i]][n_neg_values] < rank) {n_neg_values++;}
257: n_pos_values = j - n_neg_values;
258: if (fully_redundant) {
259: for (s=0;s<n_neg_values;s++) {
260: l2g_indices [partial_sum+s]=aux_sums[s]+n_neg_values-s-1+n_global_lambda;
261: cols_B_delta [partial_sum+s]=dual_dofs_boundary_indices[i];
262: vals_B_delta [partial_sum+s]=-1.0;
263: scaling_factors[partial_sum+s]=array[s];
264: }
265: for (s=0;s<n_pos_values;s++) {
266: l2g_indices [partial_sum+s+n_neg_values]=aux_sums[n_neg_values]+s+n_global_lambda;
267: cols_B_delta [partial_sum+s+n_neg_values]=dual_dofs_boundary_indices[i];
268: vals_B_delta [partial_sum+s+n_neg_values]=1.0;
269: scaling_factors[partial_sum+s+n_neg_values]=array[s+n_neg_values];
270: }
271: partial_sum += j;
272: } else {
273: /* l2g_indices and default cols and vals of B_delta */
274: for (s=0;s<j;s++) {
275: l2g_indices [partial_sum+s]=n_global_lambda+s;
276: cols_B_delta [partial_sum+s]=dual_dofs_boundary_indices[i];
277: vals_B_delta [partial_sum+s]=0.0;
278: }
279: /* B_delta */
280: if ( n_neg_values > 0 ) { /* there's a rank next to me to the left */
281: vals_B_delta [partial_sum+n_neg_values-1]=-1.0;
282: }
283: if ( n_neg_values < j ) { /* there's a rank next to me to the right */
284: vals_B_delta [partial_sum+n_neg_values]=1.0;
285: }
286: /* scaling as in Klawonn-Widlund 1999*/
287: for (s=0;s<n_neg_values;s++) {
288: scalar_value = 0.0;
289: for (k=0;k<s+1;k++) {
290: scalar_value += array[k];
291: }
292: scaling_factors[partial_sum+s] = -scalar_value;
293: }
294: for (s=0;s<n_pos_values;s++) {
295: scalar_value = 0.0;
296: for (k=s+n_neg_values;k<j;k++) {
297: scalar_value += array[k];
298: }
299: scaling_factors[partial_sum+s+n_neg_values] = scalar_value;
300: }
301: partial_sum += j;
302: }
303: cum += aux_local_numbering_2[i];
304: }
305: ISRestoreIndices(subset_n,&aux_global_numbering);
306: ISDestroy(&subset_mult);
307: ISDestroy(&subset_n);
308: PetscFree(aux_sums);
309: PetscFree(aux_local_numbering_1);
310: PetscFree(dual_dofs_boundary_indices);
311: PetscFree(all_factors[0]);
312: PetscFree(all_factors);
314: /* Local to global mapping of fetidpmat */
315: VecCreate(PETSC_COMM_SELF,&fetidpmat_ctx->lambda_local);
316: VecSetSizes(fetidpmat_ctx->lambda_local,n_local_lambda,n_local_lambda);
317: VecSetType(fetidpmat_ctx->lambda_local,VECSEQ);
318: VecCreate(comm,&lambda_global);
319: VecSetSizes(lambda_global,PETSC_DECIDE,fetidpmat_ctx->n_lambda);
320: VecSetType(lambda_global,VECMPI);
321: ISCreateGeneral(comm,n_local_lambda,l2g_indices,PETSC_OWN_POINTER,&IS_l2g_lambda);
322: VecScatterCreate(fetidpmat_ctx->lambda_local,(IS)0,lambda_global,IS_l2g_lambda,&fetidpmat_ctx->l2g_lambda);
323: ISDestroy(&IS_l2g_lambda);
325: /* Create local part of B_delta */
326: MatCreate(PETSC_COMM_SELF,&fetidpmat_ctx->B_delta);
327: MatSetSizes(fetidpmat_ctx->B_delta,n_local_lambda,pcis->n_B,n_local_lambda,pcis->n_B);
328: MatSetType(fetidpmat_ctx->B_delta,MATSEQAIJ);
329: MatSeqAIJSetPreallocation(fetidpmat_ctx->B_delta,1,NULL);
330: MatSetOption(fetidpmat_ctx->B_delta,MAT_IGNORE_ZERO_ENTRIES,PETSC_TRUE);
331: for (i=0;i<n_local_lambda;i++) {
332: MatSetValue(fetidpmat_ctx->B_delta,i,cols_B_delta[i],vals_B_delta[i],INSERT_VALUES);
333: }
334: PetscFree(vals_B_delta);
335: MatAssemblyBegin(fetidpmat_ctx->B_delta,MAT_FINAL_ASSEMBLY);
336: MatAssemblyEnd (fetidpmat_ctx->B_delta,MAT_FINAL_ASSEMBLY);
338: if (fully_redundant) {
339: MatCreate(PETSC_COMM_SELF,&ScalingMat);
340: MatSetSizes(ScalingMat,n_local_lambda,n_local_lambda,n_local_lambda,n_local_lambda);
341: MatSetType(ScalingMat,MATSEQAIJ);
342: MatSeqAIJSetPreallocation(ScalingMat,1,NULL);
343: for (i=0;i<n_local_lambda;i++) {
344: MatSetValue(ScalingMat,i,i,scaling_factors[i],INSERT_VALUES);
345: }
346: MatAssemblyBegin(ScalingMat,MAT_FINAL_ASSEMBLY);
347: MatAssemblyEnd (ScalingMat,MAT_FINAL_ASSEMBLY);
348: MatMatMult(ScalingMat,fetidpmat_ctx->B_delta,MAT_INITIAL_MATRIX,PETSC_DEFAULT,&fetidpmat_ctx->B_Ddelta);
349: MatDestroy(&ScalingMat);
350: } else {
351: MatCreate(PETSC_COMM_SELF,&fetidpmat_ctx->B_Ddelta);
352: MatSetSizes(fetidpmat_ctx->B_Ddelta,n_local_lambda,pcis->n_B,n_local_lambda,pcis->n_B);
353: MatSetType(fetidpmat_ctx->B_Ddelta,MATSEQAIJ);
354: MatSeqAIJSetPreallocation(fetidpmat_ctx->B_Ddelta,1,NULL);
355: for (i=0;i<n_local_lambda;i++) {
356: MatSetValue(fetidpmat_ctx->B_Ddelta,i,cols_B_delta[i],scaling_factors[i],INSERT_VALUES);
357: }
358: MatAssemblyBegin(fetidpmat_ctx->B_Ddelta,MAT_FINAL_ASSEMBLY);
359: MatAssemblyEnd (fetidpmat_ctx->B_Ddelta,MAT_FINAL_ASSEMBLY);
360: }
361: PetscFree(scaling_factors);
362: PetscFree(cols_B_delta);
364: /* Create some vectors needed by fetidp */
365: VecDuplicate(pcis->vec1_B,&fetidpmat_ctx->temp_solution_B);
366: VecDuplicate(pcis->vec1_D,&fetidpmat_ctx->temp_solution_D);
368: test_fetidp = PETSC_FALSE;
369: PetscOptionsGetBool(NULL,NULL,"-fetidp_check",&test_fetidp,NULL);
371: if (test_fetidp && !pcbddc->use_deluxe_scaling) {
373: PetscReal real_value;
375: PetscViewerASCIIGetStdout(comm,&viewer);
376: PetscViewerASCIIPushSynchronized(viewer);
377: PetscViewerASCIIPrintf(viewer,"----------FETI_DP TESTS--------------\n");
378: PetscViewerASCIIPrintf(viewer,"All tests should return zero!\n");
379: PetscViewerASCIIPrintf(viewer,"FETIDP MAT context in the ");
380: if (fully_redundant) {
381: PetscViewerASCIIPrintf(viewer,"fully redundant case for lagrange multipliers.\n");
382: } else {
383: PetscViewerASCIIPrintf(viewer,"Non-fully redundant case for lagrange multiplier.\n");
384: }
385: PetscViewerFlush(viewer);
387: /******************************************************************/
388: /* TEST A/B: Test numbering of global lambda dofs */
389: /******************************************************************/
391: VecDuplicate(fetidpmat_ctx->lambda_local,&test_vec);
392: VecSet(lambda_global,1.0);
393: VecSet(test_vec,1.0);
394: VecScatterBegin(fetidpmat_ctx->l2g_lambda,lambda_global,fetidpmat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);
395: VecScatterEnd (fetidpmat_ctx->l2g_lambda,lambda_global,fetidpmat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);
396: scalar_value = -1.0;
397: VecAXPY(test_vec,scalar_value,fetidpmat_ctx->lambda_local);
398: VecNorm(test_vec,NORM_INFINITY,&real_value);
399: VecDestroy(&test_vec);
400: PetscViewerASCIISynchronizedPrintf(viewer,"A[%04d]: CHECK glob to loc: % 1.14e\n",rank,real_value);
401: PetscViewerFlush(viewer);
402: if (fully_redundant) {
403: VecSet(lambda_global,0.0);
404: VecSet(fetidpmat_ctx->lambda_local,0.5);
405: VecScatterBegin(fetidpmat_ctx->l2g_lambda,fetidpmat_ctx->lambda_local,lambda_global,ADD_VALUES,SCATTER_FORWARD);
406: VecScatterEnd (fetidpmat_ctx->l2g_lambda,fetidpmat_ctx->lambda_local,lambda_global,ADD_VALUES,SCATTER_FORWARD);
407: VecSum(lambda_global,&scalar_value);
408: PetscViewerASCIISynchronizedPrintf(viewer,"B[%04d]: CHECK loc to glob: % 1.14e\n",rank,PetscRealPart(scalar_value)-fetidpmat_ctx->n_lambda);
409: PetscViewerFlush(viewer);
410: }
412: /******************************************************************/
413: /* TEST C: It should holds B_delta*w=0, w\in\widehat{W} */
414: /* This is the meaning of the B matrix */
415: /******************************************************************/
417: VecSetRandom(pcis->vec1_N,NULL);
418: VecSet(pcis->vec1_global,0.0);
419: VecScatterBegin(matis->rctx,pcis->vec1_N,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);
420: VecScatterEnd(matis->rctx,pcis->vec1_N,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);
421: VecScatterBegin(matis->rctx,pcis->vec1_global,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);
422: VecScatterEnd(matis->rctx,pcis->vec1_global,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);
423: VecScatterBegin(pcis->N_to_B,pcis->vec1_N,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);
424: VecScatterEnd (pcis->N_to_B,pcis->vec1_N,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);
425: /* Action of B_delta */
426: MatMult(fetidpmat_ctx->B_delta,pcis->vec1_B,fetidpmat_ctx->lambda_local);
427: VecSet(lambda_global,0.0);
428: VecScatterBegin(fetidpmat_ctx->l2g_lambda,fetidpmat_ctx->lambda_local,lambda_global,ADD_VALUES,SCATTER_FORWARD);
429: VecScatterEnd (fetidpmat_ctx->l2g_lambda,fetidpmat_ctx->lambda_local,lambda_global,ADD_VALUES,SCATTER_FORWARD);
430: VecNorm(lambda_global,NORM_INFINITY,&real_value);
431: PetscViewerASCIIPrintf(viewer,"C[coll]: CHECK infty norm of B_delta*w (w continuous): % 1.14e\n",real_value);
432: PetscViewerFlush(viewer);
434: /******************************************************************/
435: /* TEST D: It should holds E_Dw = w - P_Dw w\in\widetilde{W} */
436: /* E_D = R_D^TR */
437: /* P_D = B_{D,delta}^T B_{delta} */
438: /* eq.44 Mandel Tezaur and Dohrmann 2005 */
439: /******************************************************************/
441: /* compute a random vector in \widetilde{W} */
442: VecSetRandom(pcis->vec1_N,NULL);
443: scalar_value = 0.0; /* set zero at vertices */
444: VecGetArray(pcis->vec1_N,&array);
445: for (i=0;i<n_vertices;i++) { array[vertex_indices[i]]=scalar_value; }
446: VecRestoreArray(pcis->vec1_N,&array);
447: /* store w for final comparison */
448: VecDuplicate(pcis->vec1_B,&test_vec);
449: VecScatterBegin(pcis->N_to_B,pcis->vec1_N,test_vec,INSERT_VALUES,SCATTER_FORWARD);
450: VecScatterEnd (pcis->N_to_B,pcis->vec1_N,test_vec,INSERT_VALUES,SCATTER_FORWARD);
452: /* Jump operator P_D : results stored in pcis->vec1_B */
454: VecScatterBegin(pcis->N_to_B,pcis->vec1_N,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);
455: VecScatterEnd (pcis->N_to_B,pcis->vec1_N,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);
456: /* Action of B_delta */
457: MatMult(fetidpmat_ctx->B_delta,pcis->vec1_B,fetidpmat_ctx->lambda_local);
458: VecSet(lambda_global,0.0);
459: VecScatterBegin(fetidpmat_ctx->l2g_lambda,fetidpmat_ctx->lambda_local,lambda_global,ADD_VALUES,SCATTER_FORWARD);
460: VecScatterEnd (fetidpmat_ctx->l2g_lambda,fetidpmat_ctx->lambda_local,lambda_global,ADD_VALUES,SCATTER_FORWARD);
461: /* Action of B_Ddelta^T */
462: VecScatterBegin(fetidpmat_ctx->l2g_lambda,lambda_global,fetidpmat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);
463: VecScatterEnd (fetidpmat_ctx->l2g_lambda,lambda_global,fetidpmat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);
464: MatMultTranspose(fetidpmat_ctx->B_Ddelta,fetidpmat_ctx->lambda_local,pcis->vec1_B);
466: /* Average operator E_D : results stored in pcis->vec2_B */
467: VecScatterBegin(pcis->N_to_B,pcis->vec1_N,pcis->vec2_B,INSERT_VALUES,SCATTER_FORWARD);
468: VecScatterEnd (pcis->N_to_B,pcis->vec1_N,pcis->vec2_B,INSERT_VALUES,SCATTER_FORWARD);
469: PCBDDCScalingExtension(fetidpmat_ctx->pc,pcis->vec2_B,pcis->vec1_global);
470: VecScatterBegin(pcis->global_to_B,pcis->vec1_global,pcis->vec2_B,INSERT_VALUES,SCATTER_FORWARD);
471: VecScatterEnd (pcis->global_to_B,pcis->vec1_global,pcis->vec2_B,INSERT_VALUES,SCATTER_FORWARD);
473: /* test E_D=I-P_D */
474: scalar_value = 1.0;
475: VecAXPY(pcis->vec1_B,scalar_value,pcis->vec2_B);
476: scalar_value = -1.0;
477: VecAXPY(pcis->vec1_B,scalar_value,test_vec);
478: VecNorm(pcis->vec1_B,NORM_INFINITY,&real_value);
479: VecDestroy(&test_vec);
480: PetscViewerASCIISynchronizedPrintf(viewer,"D[%04d] CHECK infty norm of E_D + P_D - I: % 1.14e\n",rank,real_value);
481: PetscViewerFlush(viewer);
483: /******************************************************************/
484: /* TEST E: It should holds R_D^TP_Dw=0 w\in\widetilde{W} */
485: /* eq.48 Mandel Tezaur and Dohrmann 2005 */
486: /******************************************************************/
488: VecSetRandom(pcis->vec1_N,NULL);
489: VecGetArray(pcis->vec1_N,&array);
490: scalar_value = 0.0; /* set zero at vertices */
491: for (i=0;i<n_vertices;i++) { array[vertex_indices[i]]=scalar_value; }
492: VecRestoreArray(pcis->vec1_N,&array);
494: /* Jump operator P_D : results stored in pcis->vec1_B */
496: VecScatterBegin(pcis->N_to_B,pcis->vec1_N,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);
497: VecScatterEnd (pcis->N_to_B,pcis->vec1_N,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);
498: /* Action of B_delta */
499: MatMult(fetidpmat_ctx->B_delta,pcis->vec1_B,fetidpmat_ctx->lambda_local);
500: VecSet(lambda_global,0.0);
501: VecScatterBegin(fetidpmat_ctx->l2g_lambda,fetidpmat_ctx->lambda_local,lambda_global,ADD_VALUES,SCATTER_FORWARD);
502: VecScatterEnd (fetidpmat_ctx->l2g_lambda,fetidpmat_ctx->lambda_local,lambda_global,ADD_VALUES,SCATTER_FORWARD);
503: /* Action of B_Ddelta^T */
504: VecScatterBegin(fetidpmat_ctx->l2g_lambda,lambda_global,fetidpmat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);
505: VecScatterEnd (fetidpmat_ctx->l2g_lambda,lambda_global,fetidpmat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);
506: MatMultTranspose(fetidpmat_ctx->B_Ddelta,fetidpmat_ctx->lambda_local,pcis->vec1_B);
507: /* scaling */
508: PCBDDCScalingExtension(fetidpmat_ctx->pc,pcis->vec1_B,pcis->vec1_global);
509: VecNorm(pcis->vec1_global,NORM_INFINITY,&real_value);
510: PetscViewerASCIIPrintf(viewer,"E[coll]: CHECK infty norm of R^T_D P_D: % 1.14e\n",real_value);
511: PetscViewerFlush(viewer);
513: if (!fully_redundant) {
514: /******************************************************************/
515: /* TEST F: It should holds B_{delta}B^T_{D,delta}=I */
516: /* Corollary thm 14 Mandel Tezaur and Dohrmann 2005 */
517: /******************************************************************/
518: VecDuplicate(lambda_global,&test_vec);
519: VecSetRandom(lambda_global,NULL);
520: /* Action of B_Ddelta^T */
521: VecScatterBegin(fetidpmat_ctx->l2g_lambda,lambda_global,fetidpmat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);
522: VecScatterEnd (fetidpmat_ctx->l2g_lambda,lambda_global,fetidpmat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);
523: MatMultTranspose(fetidpmat_ctx->B_Ddelta,fetidpmat_ctx->lambda_local,pcis->vec1_B);
524: /* Action of B_delta */
525: MatMult(fetidpmat_ctx->B_delta,pcis->vec1_B,fetidpmat_ctx->lambda_local);
526: VecSet(test_vec,0.0);
527: VecScatterBegin(fetidpmat_ctx->l2g_lambda,fetidpmat_ctx->lambda_local,test_vec,ADD_VALUES,SCATTER_FORWARD);
528: VecScatterEnd (fetidpmat_ctx->l2g_lambda,fetidpmat_ctx->lambda_local,test_vec,ADD_VALUES,SCATTER_FORWARD);
529: scalar_value = -1.0;
530: VecAXPY(lambda_global,scalar_value,test_vec);
531: VecNorm(lambda_global,NORM_INFINITY,&real_value);
532: PetscViewerASCIIPrintf(viewer,"E[coll]: CHECK infty norm of P^T_D - I: % 1.14e\n",real_value);
533: PetscViewerFlush(viewer);
534: PetscViewerFlush(viewer);
535: VecDestroy(&test_vec);
536: }
537: }
538: /* final cleanup */
539: VecDestroy(&lambda_global);
541: return(0);
542: }
546: PetscErrorCode PCBDDCSetupFETIDPPCContext(Mat fetimat, FETIDPPC_ctx fetidppc_ctx)
547: {
548: FETIDPMat_ctx mat_ctx;
549: PC_IS *pcis;
553: MatShellGetContext(fetimat,(void**)&mat_ctx);
554: /* get references from objects created when setting up feti mat context */
555: PetscObjectReference((PetscObject)mat_ctx->lambda_local);
556: fetidppc_ctx->lambda_local = mat_ctx->lambda_local;
557: PetscObjectReference((PetscObject)mat_ctx->B_Ddelta);
558: fetidppc_ctx->B_Ddelta = mat_ctx->B_Ddelta;
559: PetscObjectReference((PetscObject)mat_ctx->l2g_lambda);
560: fetidppc_ctx->l2g_lambda = mat_ctx->l2g_lambda;
561: /* create local Schur complement matrix */
562: pcis = (PC_IS*)fetidppc_ctx->pc->data;
563: MatCreateSchurComplement(pcis->A_II,pcis->A_II,pcis->A_IB,pcis->A_BI,pcis->A_BB,&fetidppc_ctx->S_j);
564: MatSchurComplementSetKSP(fetidppc_ctx->S_j,pcis->ksp_D);
565: return(0);
566: }
570: PetscErrorCode FETIDPMatMult(Mat fetimat, Vec x, Vec y)
571: {
572: FETIDPMat_ctx mat_ctx;
573: PC_IS *pcis;
577: MatShellGetContext(fetimat,(void**)&mat_ctx);
578: pcis = (PC_IS*)mat_ctx->pc->data;
579: /* Application of B_delta^T */
580: VecScatterBegin(mat_ctx->l2g_lambda,x,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);
581: VecScatterEnd(mat_ctx->l2g_lambda,x,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);
582: MatMultTranspose(mat_ctx->B_delta,mat_ctx->lambda_local,pcis->vec1_B);
583: /* Application of \widetilde{S}^-1 */
584: VecSet(pcis->vec1_D,0.0);
585: PCBDDCApplyInterfacePreconditioner(mat_ctx->pc,PETSC_FALSE);
586: /* Application of B_delta */
587: MatMult(mat_ctx->B_delta,pcis->vec1_B,mat_ctx->lambda_local);
588: VecSet(y,0.0);
589: VecScatterBegin(mat_ctx->l2g_lambda,mat_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);
590: VecScatterEnd(mat_ctx->l2g_lambda,mat_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);
591: return(0);
592: }
596: PetscErrorCode FETIDPMatMultTranspose(Mat fetimat, Vec x, Vec y)
597: {
598: FETIDPMat_ctx mat_ctx;
599: PC_IS *pcis;
603: MatShellGetContext(fetimat,(void**)&mat_ctx);
604: pcis = (PC_IS*)mat_ctx->pc->data;
605: /* Application of B_delta^T */
606: VecScatterBegin(mat_ctx->l2g_lambda,x,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);
607: VecScatterEnd(mat_ctx->l2g_lambda,x,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);
608: MatMultTranspose(mat_ctx->B_delta,mat_ctx->lambda_local,pcis->vec1_B);
609: /* Application of \widetilde{S}^-1 */
610: VecSet(pcis->vec1_D,0.0);
611: PCBDDCApplyInterfacePreconditioner(mat_ctx->pc,PETSC_TRUE);
612: /* Application of B_delta */
613: MatMult(mat_ctx->B_delta,pcis->vec1_B,mat_ctx->lambda_local);
614: VecSet(y,0.0);
615: VecScatterBegin(mat_ctx->l2g_lambda,mat_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);
616: VecScatterEnd(mat_ctx->l2g_lambda,mat_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);
617: return(0);
618: }
622: PetscErrorCode FETIDPPCApply(PC fetipc, Vec x, Vec y)
623: {
624: FETIDPPC_ctx pc_ctx;
625: PC_IS *pcis;
629: PCShellGetContext(fetipc,(void**)&pc_ctx);
630: pcis = (PC_IS*)pc_ctx->pc->data;
631: /* Application of B_Ddelta^T */
632: VecScatterBegin(pc_ctx->l2g_lambda,x,pc_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);
633: VecScatterEnd(pc_ctx->l2g_lambda,x,pc_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);
634: VecSet(pcis->vec2_B,0.0);
635: MatMultTranspose(pc_ctx->B_Ddelta,pc_ctx->lambda_local,pcis->vec2_B);
636: /* Application of local Schur complement */
637: MatMult(pc_ctx->S_j,pcis->vec2_B,pcis->vec1_B);
638: /* Application of B_Ddelta */
639: MatMult(pc_ctx->B_Ddelta,pcis->vec1_B,pc_ctx->lambda_local);
640: VecSet(y,0.0);
641: VecScatterBegin(pc_ctx->l2g_lambda,pc_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);
642: VecScatterEnd(pc_ctx->l2g_lambda,pc_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);
643: return(0);
644: }
648: PetscErrorCode FETIDPPCApplyTranspose(PC fetipc, Vec x, Vec y)
649: {
650: FETIDPPC_ctx pc_ctx;
651: PC_IS *pcis;
655: PCShellGetContext(fetipc,(void**)&pc_ctx);
656: pcis = (PC_IS*)pc_ctx->pc->data;
657: /* Application of B_Ddelta^T */
658: VecScatterBegin(pc_ctx->l2g_lambda,x,pc_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);
659: VecScatterEnd(pc_ctx->l2g_lambda,x,pc_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);
660: VecSet(pcis->vec2_B,0.0);
661: MatMultTranspose(pc_ctx->B_Ddelta,pc_ctx->lambda_local,pcis->vec2_B);
662: /* Application of local Schur complement */
663: MatMultTranspose(pc_ctx->S_j,pcis->vec2_B,pcis->vec1_B);
664: /* Application of B_Ddelta */
665: MatMult(pc_ctx->B_Ddelta,pcis->vec1_B,pc_ctx->lambda_local);
666: VecSet(y,0.0);
667: VecScatterBegin(pc_ctx->l2g_lambda,pc_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);
668: VecScatterEnd(pc_ctx->l2g_lambda,pc_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);
669: return(0);
670: }