1 #include <../src/ksp/pc/impls/bddc/bddc.h> 2 #include <../src/ksp/pc/impls/bddc/bddcprivate.h> 3 4 #undef __FUNCT__ 5 #define __FUNCT__ "PCBDDCCreateFETIDPMatContext" 6 PetscErrorCode PCBDDCCreateFETIDPMatContext(PC pc, FETIDPMat_ctx *fetidpmat_ctx) 7 { 8 FETIDPMat_ctx newctx; 9 PetscErrorCode ierr; 10 11 PetscFunctionBegin; 12 ierr = PetscNew(&newctx);CHKERRQ(ierr); 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 ierr = PetscObjectReference((PetscObject)pc);CHKERRQ(ierr); 21 newctx->pc = pc; 22 *fetidpmat_ctx = newctx; 23 PetscFunctionReturn(0); 24 } 25 26 #undef __FUNCT__ 27 #define __FUNCT__ "PCBDDCCreateFETIDPPCContext" 28 PetscErrorCode PCBDDCCreateFETIDPPCContext(PC pc, FETIDPPC_ctx *fetidppc_ctx) 29 { 30 FETIDPPC_ctx newctx; 31 PetscErrorCode ierr; 32 33 PetscFunctionBegin; 34 ierr = PetscNew(&newctx);CHKERRQ(ierr); 35 newctx->lambda_local = 0; 36 newctx->B_Ddelta = 0; 37 newctx->l2g_lambda = 0; 38 /* increase the reference count for BDDC preconditioner */ 39 ierr = PetscObjectReference((PetscObject)pc);CHKERRQ(ierr); 40 newctx->pc = pc; 41 *fetidppc_ctx = newctx; 42 PetscFunctionReturn(0); 43 } 44 45 #undef __FUNCT__ 46 #define __FUNCT__ "PCBDDCDestroyFETIDPMat" 47 PetscErrorCode PCBDDCDestroyFETIDPMat(Mat A) 48 { 49 FETIDPMat_ctx mat_ctx; 50 PetscErrorCode ierr; 51 52 PetscFunctionBegin; 53 ierr = MatShellGetContext(A,(void**)&mat_ctx);CHKERRQ(ierr); 54 ierr = VecDestroy(&mat_ctx->lambda_local);CHKERRQ(ierr); 55 ierr = VecDestroy(&mat_ctx->temp_solution_D);CHKERRQ(ierr); 56 ierr = VecDestroy(&mat_ctx->temp_solution_B);CHKERRQ(ierr); 57 ierr = MatDestroy(&mat_ctx->B_delta);CHKERRQ(ierr); 58 ierr = MatDestroy(&mat_ctx->B_Ddelta);CHKERRQ(ierr); 59 ierr = VecScatterDestroy(&mat_ctx->l2g_lambda);CHKERRQ(ierr); 60 ierr = PCDestroy(&mat_ctx->pc);CHKERRQ(ierr); /* decrease PCBDDC reference count */ 61 ierr = PetscFree(mat_ctx);CHKERRQ(ierr); 62 PetscFunctionReturn(0); 63 } 64 65 #undef __FUNCT__ 66 #define __FUNCT__ "PCBDDCDestroyFETIDPPC" 67 PetscErrorCode PCBDDCDestroyFETIDPPC(PC pc) 68 { 69 FETIDPPC_ctx pc_ctx; 70 PetscErrorCode ierr; 71 72 PetscFunctionBegin; 73 ierr = PCShellGetContext(pc,(void**)&pc_ctx);CHKERRQ(ierr); 74 ierr = VecDestroy(&pc_ctx->lambda_local);CHKERRQ(ierr); 75 ierr = MatDestroy(&pc_ctx->B_Ddelta);CHKERRQ(ierr); 76 ierr = VecScatterDestroy(&pc_ctx->l2g_lambda);CHKERRQ(ierr); 77 ierr = MatDestroy(&pc_ctx->S_j);CHKERRQ(ierr); 78 ierr = PCDestroy(&pc_ctx->pc);CHKERRQ(ierr); /* decrease PCBDDC reference count */ 79 ierr = PetscFree(pc_ctx);CHKERRQ(ierr); 80 PetscFunctionReturn(0); 81 } 82 83 #undef __FUNCT__ 84 #define __FUNCT__ "PCBDDCSetupFETIDPMatContext" 85 PetscErrorCode PCBDDCSetupFETIDPMatContext(FETIDPMat_ctx fetidpmat_ctx ) 86 { 87 PetscErrorCode ierr; 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; 116 117 PetscFunctionBegin; 118 ierr = PetscObjectGetComm((PetscObject)(fetidpmat_ctx->pc),&comm);CHKERRQ(ierr); 119 ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr); 120 ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr); 121 122 /* Default type of lagrange multipliers is non-redundant */ 123 fully_redundant = fetidpmat_ctx->fully_redundant; 124 125 /* Evaluate local and global number of lagrange multipliers */ 126 ierr = VecSet(pcis->vec1_N,0.0);CHKERRQ(ierr); 127 n_local_lambda = 0; 128 partial_sum = 0; 129 n_boundary_dofs = 0; 130 s = 0; 131 /* Get Vertices used to define the BDDC */ 132 n_vertices = pcbddc->n_vertices; 133 vertex_indices = pcbddc->local_primal_ref_node; 134 dual_size = pcis->n_B-n_vertices; 135 ierr = PetscMalloc1(dual_size,&dual_dofs_boundary_indices);CHKERRQ(ierr); 136 ierr = PetscMalloc1(dual_size,&aux_local_numbering_1);CHKERRQ(ierr); 137 ierr = PetscMalloc1(dual_size,&aux_local_numbering_2);CHKERRQ(ierr); 138 139 ierr = VecGetArray(pcis->vec1_N,&array);CHKERRQ(ierr); 140 for (i=0;i<pcis->n;i++){ 141 j = mat_graph->count[i]; /* RECALL: mat_graph->count[i] does not count myself */ 142 if ( j > 0 ) { 143 n_boundary_dofs++; 144 } 145 skip_node = PETSC_FALSE; 146 if ( s < n_vertices && vertex_indices[s]==i) { /* it works for a sorted set of vertices */ 147 skip_node = PETSC_TRUE; 148 s++; 149 } 150 if (j < 1) { 151 skip_node = PETSC_TRUE; 152 } 153 if ( !skip_node ) { 154 if (fully_redundant) { 155 /* fully redundant set of lagrange multipliers */ 156 n_lambda_for_dof = (j*(j+1))/2; 157 } else { 158 n_lambda_for_dof = j; 159 } 160 n_local_lambda += j; 161 /* needed to evaluate global number of lagrange multipliers */ 162 array[i]=(1.0*n_lambda_for_dof)/(j+1.0); /* already scaled for the next global sum */ 163 /* store some data needed */ 164 dual_dofs_boundary_indices[partial_sum] = n_boundary_dofs-1; 165 aux_local_numbering_1[partial_sum] = i; 166 aux_local_numbering_2[partial_sum] = n_lambda_for_dof; 167 partial_sum++; 168 } 169 } 170 ierr = VecRestoreArray(pcis->vec1_N,&array);CHKERRQ(ierr); 171 172 ierr = VecSet(pcis->vec1_global,0.0);CHKERRQ(ierr); 173 ierr = VecScatterBegin(matis->rctx,pcis->vec1_N,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 174 ierr = VecScatterEnd(matis->rctx,pcis->vec1_N,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 175 ierr = VecSum(pcis->vec1_global,&scalar_value);CHKERRQ(ierr); 176 fetidpmat_ctx->n_lambda = (PetscInt)PetscRealPart(scalar_value); 177 178 /* compute global ordering of lagrange multipliers and associate l2g map */ 179 ierr = ISCreateGeneral(comm,partial_sum,aux_local_numbering_1,PETSC_COPY_VALUES,&subset_n);CHKERRQ(ierr); 180 ierr = ISLocalToGlobalMappingApplyIS(pcis->mapping,subset_n,&subset);CHKERRQ(ierr); 181 ierr = ISDestroy(&subset_n);CHKERRQ(ierr); 182 ierr = ISCreateGeneral(comm,partial_sum,aux_local_numbering_2,PETSC_OWN_POINTER,&subset_mult);CHKERRQ(ierr); 183 ierr = ISRenumber(subset,subset_mult,&i,&subset_n);CHKERRQ(ierr); 184 ierr = ISDestroy(&subset);CHKERRQ(ierr); 185 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); 186 187 /* init data for scaling factors exchange */ 188 partial_sum = 0; 189 ierr = PetscMalloc1(pcis->n_neigh,&ptrs_buffer);CHKERRQ(ierr); 190 ierr = PetscMalloc1(pcis->n_neigh-1,&send_reqs);CHKERRQ(ierr); 191 ierr = PetscMalloc1(pcis->n_neigh-1,&recv_reqs);CHKERRQ(ierr); 192 ierr = PetscMalloc1(pcis->n,&all_factors);CHKERRQ(ierr); 193 ptrs_buffer[0]=0; 194 for (i=1;i<pcis->n_neigh;i++) { 195 partial_sum += pcis->n_shared[i]; 196 ptrs_buffer[i] = ptrs_buffer[i-1]+pcis->n_shared[i]; 197 } 198 ierr = PetscMalloc1(partial_sum,&send_buffer);CHKERRQ(ierr); 199 ierr = PetscMalloc1(partial_sum,&recv_buffer);CHKERRQ(ierr); 200 ierr = PetscMalloc1(partial_sum,&all_factors[0]);CHKERRQ(ierr); 201 for (i=0;i<pcis->n-1;i++) { 202 j = mat_graph->count[i]; 203 all_factors[i+1]=all_factors[i]+j; 204 } 205 /* scatter B scaling to N vec */ 206 ierr = VecScatterBegin(pcis->N_to_B,pcis->D,pcis->vec1_N,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 207 ierr = VecScatterEnd(pcis->N_to_B,pcis->D,pcis->vec1_N,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 208 /* communications */ 209 ierr = VecGetArrayRead(pcis->vec1_N,(const PetscScalar**)&array);CHKERRQ(ierr); 210 for (i=1;i<pcis->n_neigh;i++) { 211 for (j=0;j<pcis->n_shared[i];j++) { 212 send_buffer[ptrs_buffer[i-1]+j]=array[pcis->shared[i][j]]; 213 } 214 ierr = PetscMPIIntCast(ptrs_buffer[i]-ptrs_buffer[i-1],&buf_size);CHKERRQ(ierr); 215 ierr = PetscMPIIntCast(pcis->neigh[i],&neigh);CHKERRQ(ierr); 216 ierr = MPI_Isend(&send_buffer[ptrs_buffer[i-1]],buf_size,MPIU_SCALAR,neigh,0,comm,&send_reqs[i-1]);CHKERRQ(ierr); 217 ierr = MPI_Irecv(&recv_buffer[ptrs_buffer[i-1]],buf_size,MPIU_SCALAR,neigh,0,comm,&recv_reqs[i-1]);CHKERRQ(ierr); 218 } 219 ierr = VecRestoreArrayRead(pcis->vec1_N,(const PetscScalar**)&array);CHKERRQ(ierr); 220 ierr = MPI_Waitall((pcis->n_neigh-1),recv_reqs,MPI_STATUSES_IGNORE);CHKERRQ(ierr); 221 /* put values in correct places */ 222 for (i=1;i<pcis->n_neigh;i++) { 223 for (j=0;j<pcis->n_shared[i];j++) { 224 k = pcis->shared[i][j]; 225 neigh_position = 0; 226 while(mat_graph->neighbours_set[k][neigh_position] != pcis->neigh[i]) {neigh_position++;} 227 all_factors[k][neigh_position]=recv_buffer[ptrs_buffer[i-1]+j]; 228 } 229 } 230 ierr = MPI_Waitall((pcis->n_neigh-1),send_reqs,MPI_STATUSES_IGNORE);CHKERRQ(ierr); 231 ierr = PetscFree(send_reqs);CHKERRQ(ierr); 232 ierr = PetscFree(recv_reqs);CHKERRQ(ierr); 233 ierr = PetscFree(send_buffer);CHKERRQ(ierr); 234 ierr = PetscFree(recv_buffer);CHKERRQ(ierr); 235 ierr = PetscFree(ptrs_buffer);CHKERRQ(ierr); 236 237 /* Compute B and B_delta (local actions) */ 238 ierr = PetscMalloc1(pcis->n_neigh,&aux_sums);CHKERRQ(ierr); 239 ierr = PetscMalloc1(n_local_lambda,&l2g_indices);CHKERRQ(ierr); 240 ierr = PetscMalloc1(n_local_lambda,&vals_B_delta);CHKERRQ(ierr); 241 ierr = PetscMalloc1(n_local_lambda,&cols_B_delta);CHKERRQ(ierr); 242 ierr = PetscMalloc1(n_local_lambda,&scaling_factors);CHKERRQ(ierr); 243 ierr = ISGetIndices(subset_n,&aux_global_numbering);CHKERRQ(ierr); 244 partial_sum=0; 245 cum = 0; 246 for (i=0;i<dual_size;i++) { 247 n_global_lambda = aux_global_numbering[cum]; 248 j = mat_graph->count[aux_local_numbering_1[i]]; 249 aux_sums[0]=0; 250 for (s=1;s<j;s++) { 251 aux_sums[s]=aux_sums[s-1]+j-s+1; 252 } 253 array = all_factors[aux_local_numbering_1[i]]; 254 n_neg_values = 0; 255 while(n_neg_values < j && mat_graph->neighbours_set[aux_local_numbering_1[i]][n_neg_values] < rank) {n_neg_values++;} 256 n_pos_values = j - n_neg_values; 257 if (fully_redundant) { 258 for (s=0;s<n_neg_values;s++) { 259 l2g_indices [partial_sum+s]=aux_sums[s]+n_neg_values-s-1+n_global_lambda; 260 cols_B_delta [partial_sum+s]=dual_dofs_boundary_indices[i]; 261 vals_B_delta [partial_sum+s]=-1.0; 262 scaling_factors[partial_sum+s]=array[s]; 263 } 264 for (s=0;s<n_pos_values;s++) { 265 l2g_indices [partial_sum+s+n_neg_values]=aux_sums[n_neg_values]+s+n_global_lambda; 266 cols_B_delta [partial_sum+s+n_neg_values]=dual_dofs_boundary_indices[i]; 267 vals_B_delta [partial_sum+s+n_neg_values]=1.0; 268 scaling_factors[partial_sum+s+n_neg_values]=array[s+n_neg_values]; 269 } 270 partial_sum += j; 271 } else { 272 /* l2g_indices and default cols and vals of B_delta */ 273 for (s=0;s<j;s++) { 274 l2g_indices [partial_sum+s]=n_global_lambda+s; 275 cols_B_delta [partial_sum+s]=dual_dofs_boundary_indices[i]; 276 vals_B_delta [partial_sum+s]=0.0; 277 } 278 /* B_delta */ 279 if ( n_neg_values > 0 ) { /* there's a rank next to me to the left */ 280 vals_B_delta [partial_sum+n_neg_values-1]=-1.0; 281 } 282 if ( n_neg_values < j ) { /* there's a rank next to me to the right */ 283 vals_B_delta [partial_sum+n_neg_values]=1.0; 284 } 285 /* scaling as in Klawonn-Widlund 1999*/ 286 for (s=0;s<n_neg_values;s++) { 287 scalar_value = 0.0; 288 for (k=0;k<s+1;k++) { 289 scalar_value += array[k]; 290 } 291 scaling_factors[partial_sum+s] = -scalar_value; 292 } 293 for (s=0;s<n_pos_values;s++) { 294 scalar_value = 0.0; 295 for (k=s+n_neg_values;k<j;k++) { 296 scalar_value += array[k]; 297 } 298 scaling_factors[partial_sum+s+n_neg_values] = scalar_value; 299 } 300 partial_sum += j; 301 } 302 cum += aux_local_numbering_2[i]; 303 } 304 ierr = ISRestoreIndices(subset_n,&aux_global_numbering);CHKERRQ(ierr); 305 ierr = ISDestroy(&subset_mult);CHKERRQ(ierr); 306 ierr = ISDestroy(&subset_n);CHKERRQ(ierr); 307 ierr = PetscFree(aux_sums);CHKERRQ(ierr); 308 ierr = PetscFree(aux_local_numbering_1);CHKERRQ(ierr); 309 ierr = PetscFree(dual_dofs_boundary_indices);CHKERRQ(ierr); 310 ierr = PetscFree(all_factors[0]);CHKERRQ(ierr); 311 ierr = PetscFree(all_factors);CHKERRQ(ierr); 312 313 /* Local to global mapping of fetidpmat */ 314 ierr = VecCreate(PETSC_COMM_SELF,&fetidpmat_ctx->lambda_local);CHKERRQ(ierr); 315 ierr = VecSetSizes(fetidpmat_ctx->lambda_local,n_local_lambda,n_local_lambda);CHKERRQ(ierr); 316 ierr = VecSetType(fetidpmat_ctx->lambda_local,VECSEQ);CHKERRQ(ierr); 317 ierr = VecCreate(comm,&lambda_global);CHKERRQ(ierr); 318 ierr = VecSetSizes(lambda_global,PETSC_DECIDE,fetidpmat_ctx->n_lambda);CHKERRQ(ierr); 319 ierr = VecSetType(lambda_global,VECMPI);CHKERRQ(ierr); 320 ierr = ISCreateGeneral(comm,n_local_lambda,l2g_indices,PETSC_OWN_POINTER,&IS_l2g_lambda);CHKERRQ(ierr); 321 ierr = VecScatterCreate(fetidpmat_ctx->lambda_local,(IS)0,lambda_global,IS_l2g_lambda,&fetidpmat_ctx->l2g_lambda);CHKERRQ(ierr); 322 ierr = ISDestroy(&IS_l2g_lambda);CHKERRQ(ierr); 323 324 /* Create local part of B_delta */ 325 ierr = MatCreate(PETSC_COMM_SELF,&fetidpmat_ctx->B_delta);CHKERRQ(ierr); 326 ierr = MatSetSizes(fetidpmat_ctx->B_delta,n_local_lambda,pcis->n_B,n_local_lambda,pcis->n_B);CHKERRQ(ierr); 327 ierr = MatSetType(fetidpmat_ctx->B_delta,MATSEQAIJ);CHKERRQ(ierr); 328 ierr = MatSeqAIJSetPreallocation(fetidpmat_ctx->B_delta,1,NULL);CHKERRQ(ierr); 329 ierr = MatSetOption(fetidpmat_ctx->B_delta,MAT_IGNORE_ZERO_ENTRIES,PETSC_TRUE);CHKERRQ(ierr); 330 for (i=0;i<n_local_lambda;i++) { 331 ierr = MatSetValue(fetidpmat_ctx->B_delta,i,cols_B_delta[i],vals_B_delta[i],INSERT_VALUES);CHKERRQ(ierr); 332 } 333 ierr = PetscFree(vals_B_delta);CHKERRQ(ierr); 334 ierr = MatAssemblyBegin(fetidpmat_ctx->B_delta,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 335 ierr = MatAssemblyEnd (fetidpmat_ctx->B_delta,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 336 337 if (fully_redundant) { 338 ierr = MatCreate(PETSC_COMM_SELF,&ScalingMat);CHKERRQ(ierr); 339 ierr = MatSetSizes(ScalingMat,n_local_lambda,n_local_lambda,n_local_lambda,n_local_lambda);CHKERRQ(ierr); 340 ierr = MatSetType(ScalingMat,MATSEQAIJ);CHKERRQ(ierr); 341 ierr = MatSeqAIJSetPreallocation(ScalingMat,1,NULL);CHKERRQ(ierr); 342 for (i=0;i<n_local_lambda;i++) { 343 ierr = MatSetValue(ScalingMat,i,i,scaling_factors[i],INSERT_VALUES);CHKERRQ(ierr); 344 } 345 ierr = MatAssemblyBegin(ScalingMat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 346 ierr = MatAssemblyEnd (ScalingMat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 347 ierr = MatMatMult(ScalingMat,fetidpmat_ctx->B_delta,MAT_INITIAL_MATRIX,PETSC_DEFAULT,&fetidpmat_ctx->B_Ddelta);CHKERRQ(ierr); 348 ierr = MatDestroy(&ScalingMat);CHKERRQ(ierr); 349 } else { 350 ierr = MatCreate(PETSC_COMM_SELF,&fetidpmat_ctx->B_Ddelta);CHKERRQ(ierr); 351 ierr = MatSetSizes(fetidpmat_ctx->B_Ddelta,n_local_lambda,pcis->n_B,n_local_lambda,pcis->n_B);CHKERRQ(ierr); 352 ierr = MatSetType(fetidpmat_ctx->B_Ddelta,MATSEQAIJ);CHKERRQ(ierr); 353 ierr = MatSeqAIJSetPreallocation(fetidpmat_ctx->B_Ddelta,1,NULL);CHKERRQ(ierr); 354 for (i=0;i<n_local_lambda;i++) { 355 ierr = MatSetValue(fetidpmat_ctx->B_Ddelta,i,cols_B_delta[i],scaling_factors[i],INSERT_VALUES);CHKERRQ(ierr); 356 } 357 ierr = MatAssemblyBegin(fetidpmat_ctx->B_Ddelta,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 358 ierr = MatAssemblyEnd (fetidpmat_ctx->B_Ddelta,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 359 } 360 ierr = PetscFree(scaling_factors);CHKERRQ(ierr); 361 ierr = PetscFree(cols_B_delta);CHKERRQ(ierr); 362 363 /* Create some vectors needed by fetidp */ 364 ierr = VecDuplicate(pcis->vec1_B,&fetidpmat_ctx->temp_solution_B);CHKERRQ(ierr); 365 ierr = VecDuplicate(pcis->vec1_D,&fetidpmat_ctx->temp_solution_D);CHKERRQ(ierr); 366 367 test_fetidp = PETSC_FALSE; 368 ierr = PetscOptionsGetBool(NULL,NULL,"-fetidp_check",&test_fetidp,NULL);CHKERRQ(ierr); 369 370 if (test_fetidp && !pcbddc->use_deluxe_scaling) { 371 372 PetscReal real_value; 373 374 ierr = PetscViewerASCIIGetStdout(comm,&viewer);CHKERRQ(ierr); 375 ierr = PetscViewerASCIIPushSynchronized(viewer);CHKERRQ(ierr); 376 ierr = PetscViewerASCIIPrintf(viewer,"----------FETI_DP TESTS--------------\n");CHKERRQ(ierr); 377 ierr = PetscViewerASCIIPrintf(viewer,"All tests should return zero!\n");CHKERRQ(ierr); 378 ierr = PetscViewerASCIIPrintf(viewer,"FETIDP MAT context in the ");CHKERRQ(ierr); 379 if (fully_redundant) { 380 ierr = PetscViewerASCIIPrintf(viewer,"fully redundant case for lagrange multipliers.\n");CHKERRQ(ierr); 381 } else { 382 ierr = PetscViewerASCIIPrintf(viewer,"Non-fully redundant case for lagrange multiplier.\n");CHKERRQ(ierr); 383 } 384 ierr = PetscViewerFlush(viewer);CHKERRQ(ierr); 385 386 /******************************************************************/ 387 /* TEST A/B: Test numbering of global lambda dofs */ 388 /******************************************************************/ 389 390 ierr = VecDuplicate(fetidpmat_ctx->lambda_local,&test_vec);CHKERRQ(ierr); 391 ierr = VecSet(lambda_global,1.0);CHKERRQ(ierr); 392 ierr = VecSet(test_vec,1.0);CHKERRQ(ierr); 393 ierr = VecScatterBegin(fetidpmat_ctx->l2g_lambda,lambda_global,fetidpmat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 394 ierr = VecScatterEnd (fetidpmat_ctx->l2g_lambda,lambda_global,fetidpmat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 395 scalar_value = -1.0; 396 ierr = VecAXPY(test_vec,scalar_value,fetidpmat_ctx->lambda_local);CHKERRQ(ierr); 397 ierr = VecNorm(test_vec,NORM_INFINITY,&real_value);CHKERRQ(ierr); 398 ierr = VecDestroy(&test_vec);CHKERRQ(ierr); 399 ierr = PetscViewerASCIISynchronizedPrintf(viewer,"A[%04d]: CHECK glob to loc: % 1.14e\n",rank,real_value);CHKERRQ(ierr); 400 ierr = PetscViewerFlush(viewer);CHKERRQ(ierr); 401 if (fully_redundant) { 402 ierr = VecSet(lambda_global,0.0);CHKERRQ(ierr); 403 ierr = VecSet(fetidpmat_ctx->lambda_local,0.5);CHKERRQ(ierr); 404 ierr = VecScatterBegin(fetidpmat_ctx->l2g_lambda,fetidpmat_ctx->lambda_local,lambda_global,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 405 ierr = VecScatterEnd (fetidpmat_ctx->l2g_lambda,fetidpmat_ctx->lambda_local,lambda_global,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 406 ierr = VecSum(lambda_global,&scalar_value);CHKERRQ(ierr); 407 ierr = PetscViewerASCIISynchronizedPrintf(viewer,"B[%04d]: CHECK loc to glob: % 1.14e\n",rank,PetscRealPart(scalar_value)-fetidpmat_ctx->n_lambda);CHKERRQ(ierr); 408 ierr = PetscViewerFlush(viewer);CHKERRQ(ierr); 409 } 410 411 /******************************************************************/ 412 /* TEST C: It should holds B_delta*w=0, w\in\widehat{W} */ 413 /* This is the meaning of the B matrix */ 414 /******************************************************************/ 415 416 ierr = VecSetRandom(pcis->vec1_N,NULL);CHKERRQ(ierr); 417 ierr = VecSet(pcis->vec1_global,0.0);CHKERRQ(ierr); 418 ierr = VecScatterBegin(matis->rctx,pcis->vec1_N,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 419 ierr = VecScatterEnd(matis->rctx,pcis->vec1_N,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 420 ierr = VecScatterBegin(matis->rctx,pcis->vec1_global,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 421 ierr = VecScatterEnd(matis->rctx,pcis->vec1_global,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 422 ierr = VecScatterBegin(pcis->N_to_B,pcis->vec1_N,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 423 ierr = VecScatterEnd (pcis->N_to_B,pcis->vec1_N,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 424 /* Action of B_delta */ 425 ierr = MatMult(fetidpmat_ctx->B_delta,pcis->vec1_B,fetidpmat_ctx->lambda_local);CHKERRQ(ierr); 426 ierr = VecSet(lambda_global,0.0);CHKERRQ(ierr); 427 ierr = VecScatterBegin(fetidpmat_ctx->l2g_lambda,fetidpmat_ctx->lambda_local,lambda_global,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 428 ierr = VecScatterEnd (fetidpmat_ctx->l2g_lambda,fetidpmat_ctx->lambda_local,lambda_global,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 429 ierr = VecNorm(lambda_global,NORM_INFINITY,&real_value);CHKERRQ(ierr); 430 ierr = PetscViewerASCIIPrintf(viewer,"C[coll]: CHECK infty norm of B_delta*w (w continuous): % 1.14e\n",real_value);CHKERRQ(ierr); 431 ierr = PetscViewerFlush(viewer);CHKERRQ(ierr); 432 433 /******************************************************************/ 434 /* TEST D: It should holds E_Dw = w - P_Dw w\in\widetilde{W} */ 435 /* E_D = R_D^TR */ 436 /* P_D = B_{D,delta}^T B_{delta} */ 437 /* eq.44 Mandel Tezaur and Dohrmann 2005 */ 438 /******************************************************************/ 439 440 /* compute a random vector in \widetilde{W} */ 441 ierr = VecSetRandom(pcis->vec1_N,NULL);CHKERRQ(ierr); 442 scalar_value = 0.0; /* set zero at vertices */ 443 ierr = VecGetArray(pcis->vec1_N,&array);CHKERRQ(ierr); 444 for (i=0;i<n_vertices;i++) { array[vertex_indices[i]]=scalar_value; } 445 ierr = VecRestoreArray(pcis->vec1_N,&array);CHKERRQ(ierr); 446 /* store w for final comparison */ 447 ierr = VecDuplicate(pcis->vec1_B,&test_vec);CHKERRQ(ierr); 448 ierr = VecScatterBegin(pcis->N_to_B,pcis->vec1_N,test_vec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 449 ierr = VecScatterEnd (pcis->N_to_B,pcis->vec1_N,test_vec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 450 451 /* Jump operator P_D : results stored in pcis->vec1_B */ 452 453 ierr = VecScatterBegin(pcis->N_to_B,pcis->vec1_N,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 454 ierr = VecScatterEnd (pcis->N_to_B,pcis->vec1_N,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 455 /* Action of B_delta */ 456 ierr = MatMult(fetidpmat_ctx->B_delta,pcis->vec1_B,fetidpmat_ctx->lambda_local);CHKERRQ(ierr); 457 ierr = VecSet(lambda_global,0.0);CHKERRQ(ierr); 458 ierr = VecScatterBegin(fetidpmat_ctx->l2g_lambda,fetidpmat_ctx->lambda_local,lambda_global,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 459 ierr = VecScatterEnd (fetidpmat_ctx->l2g_lambda,fetidpmat_ctx->lambda_local,lambda_global,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 460 /* Action of B_Ddelta^T */ 461 ierr = VecScatterBegin(fetidpmat_ctx->l2g_lambda,lambda_global,fetidpmat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 462 ierr = VecScatterEnd (fetidpmat_ctx->l2g_lambda,lambda_global,fetidpmat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 463 ierr = MatMultTranspose(fetidpmat_ctx->B_Ddelta,fetidpmat_ctx->lambda_local,pcis->vec1_B);CHKERRQ(ierr); 464 465 /* Average operator E_D : results stored in pcis->vec2_B */ 466 ierr = VecScatterBegin(pcis->N_to_B,pcis->vec1_N,pcis->vec2_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 467 ierr = VecScatterEnd (pcis->N_to_B,pcis->vec1_N,pcis->vec2_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 468 ierr = PCBDDCScalingExtension(fetidpmat_ctx->pc,pcis->vec2_B,pcis->vec1_global);CHKERRQ(ierr); 469 ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_global,pcis->vec2_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 470 ierr = VecScatterEnd (pcis->global_to_B,pcis->vec1_global,pcis->vec2_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 471 472 /* test E_D=I-P_D */ 473 scalar_value = 1.0; 474 ierr = VecAXPY(pcis->vec1_B,scalar_value,pcis->vec2_B);CHKERRQ(ierr); 475 scalar_value = -1.0; 476 ierr = VecAXPY(pcis->vec1_B,scalar_value,test_vec);CHKERRQ(ierr); 477 ierr = VecNorm(pcis->vec1_B,NORM_INFINITY,&real_value);CHKERRQ(ierr); 478 ierr = VecDestroy(&test_vec);CHKERRQ(ierr); 479 ierr = PetscViewerASCIISynchronizedPrintf(viewer,"D[%04d] CHECK infty norm of E_D + P_D - I: % 1.14e\n",rank,real_value);CHKERRQ(ierr); 480 ierr = PetscViewerFlush(viewer);CHKERRQ(ierr); 481 482 /******************************************************************/ 483 /* TEST E: It should holds R_D^TP_Dw=0 w\in\widetilde{W} */ 484 /* eq.48 Mandel Tezaur and Dohrmann 2005 */ 485 /******************************************************************/ 486 487 ierr = VecSetRandom(pcis->vec1_N,NULL);CHKERRQ(ierr); 488 ierr = VecGetArray(pcis->vec1_N,&array);CHKERRQ(ierr); 489 scalar_value = 0.0; /* set zero at vertices */ 490 for (i=0;i<n_vertices;i++) { array[vertex_indices[i]]=scalar_value; } 491 ierr = VecRestoreArray(pcis->vec1_N,&array);CHKERRQ(ierr); 492 493 /* Jump operator P_D : results stored in pcis->vec1_B */ 494 495 ierr = VecScatterBegin(pcis->N_to_B,pcis->vec1_N,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 496 ierr = VecScatterEnd (pcis->N_to_B,pcis->vec1_N,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 497 /* Action of B_delta */ 498 ierr = MatMult(fetidpmat_ctx->B_delta,pcis->vec1_B,fetidpmat_ctx->lambda_local);CHKERRQ(ierr); 499 ierr = VecSet(lambda_global,0.0);CHKERRQ(ierr); 500 ierr = VecScatterBegin(fetidpmat_ctx->l2g_lambda,fetidpmat_ctx->lambda_local,lambda_global,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 501 ierr = VecScatterEnd (fetidpmat_ctx->l2g_lambda,fetidpmat_ctx->lambda_local,lambda_global,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 502 /* Action of B_Ddelta^T */ 503 ierr = VecScatterBegin(fetidpmat_ctx->l2g_lambda,lambda_global,fetidpmat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 504 ierr = VecScatterEnd (fetidpmat_ctx->l2g_lambda,lambda_global,fetidpmat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 505 ierr = MatMultTranspose(fetidpmat_ctx->B_Ddelta,fetidpmat_ctx->lambda_local,pcis->vec1_B);CHKERRQ(ierr); 506 /* scaling */ 507 ierr = PCBDDCScalingExtension(fetidpmat_ctx->pc,pcis->vec1_B,pcis->vec1_global);CHKERRQ(ierr); 508 ierr = VecNorm(pcis->vec1_global,NORM_INFINITY,&real_value);CHKERRQ(ierr); 509 ierr = PetscViewerASCIIPrintf(viewer,"E[coll]: CHECK infty norm of R^T_D P_D: % 1.14e\n",real_value);CHKERRQ(ierr); 510 ierr = PetscViewerFlush(viewer);CHKERRQ(ierr); 511 512 if (!fully_redundant) { 513 /******************************************************************/ 514 /* TEST F: It should holds B_{delta}B^T_{D,delta}=I */ 515 /* Corollary thm 14 Mandel Tezaur and Dohrmann 2005 */ 516 /******************************************************************/ 517 ierr = VecDuplicate(lambda_global,&test_vec);CHKERRQ(ierr); 518 ierr = VecSetRandom(lambda_global,NULL);CHKERRQ(ierr); 519 /* Action of B_Ddelta^T */ 520 ierr = VecScatterBegin(fetidpmat_ctx->l2g_lambda,lambda_global,fetidpmat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 521 ierr = VecScatterEnd (fetidpmat_ctx->l2g_lambda,lambda_global,fetidpmat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 522 ierr = MatMultTranspose(fetidpmat_ctx->B_Ddelta,fetidpmat_ctx->lambda_local,pcis->vec1_B);CHKERRQ(ierr); 523 /* Action of B_delta */ 524 ierr = MatMult(fetidpmat_ctx->B_delta,pcis->vec1_B,fetidpmat_ctx->lambda_local);CHKERRQ(ierr); 525 ierr = VecSet(test_vec,0.0);CHKERRQ(ierr); 526 ierr = VecScatterBegin(fetidpmat_ctx->l2g_lambda,fetidpmat_ctx->lambda_local,test_vec,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 527 ierr = VecScatterEnd (fetidpmat_ctx->l2g_lambda,fetidpmat_ctx->lambda_local,test_vec,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 528 scalar_value = -1.0; 529 ierr = VecAXPY(lambda_global,scalar_value,test_vec);CHKERRQ(ierr); 530 ierr = VecNorm(lambda_global,NORM_INFINITY,&real_value);CHKERRQ(ierr); 531 ierr = PetscViewerASCIIPrintf(viewer,"E[coll]: CHECK infty norm of P^T_D - I: % 1.14e\n",real_value);CHKERRQ(ierr); 532 ierr = PetscViewerFlush(viewer);CHKERRQ(ierr); 533 ierr = PetscViewerFlush(viewer);CHKERRQ(ierr); 534 ierr = VecDestroy(&test_vec);CHKERRQ(ierr); 535 } 536 } 537 /* final cleanup */ 538 ierr = VecDestroy(&lambda_global);CHKERRQ(ierr); 539 540 PetscFunctionReturn(0); 541 } 542 543 #undef __FUNCT__ 544 #define __FUNCT__ "PCBDDCSetupFETIDPPCContext" 545 PetscErrorCode PCBDDCSetupFETIDPPCContext(Mat fetimat, FETIDPPC_ctx fetidppc_ctx) 546 { 547 FETIDPMat_ctx mat_ctx; 548 PC_IS *pcis; 549 PetscErrorCode ierr; 550 551 PetscFunctionBegin; 552 ierr = MatShellGetContext(fetimat,(void**)&mat_ctx);CHKERRQ(ierr); 553 /* get references from objects created when setting up feti mat context */ 554 ierr = PetscObjectReference((PetscObject)mat_ctx->lambda_local);CHKERRQ(ierr); 555 fetidppc_ctx->lambda_local = mat_ctx->lambda_local; 556 ierr = PetscObjectReference((PetscObject)mat_ctx->B_Ddelta);CHKERRQ(ierr); 557 fetidppc_ctx->B_Ddelta = mat_ctx->B_Ddelta; 558 ierr = PetscObjectReference((PetscObject)mat_ctx->l2g_lambda);CHKERRQ(ierr); 559 fetidppc_ctx->l2g_lambda = mat_ctx->l2g_lambda; 560 /* create local Schur complement matrix */ 561 pcis = (PC_IS*)fetidppc_ctx->pc->data; 562 ierr = MatCreateSchurComplement(pcis->A_II,pcis->A_II,pcis->A_IB,pcis->A_BI,pcis->A_BB,&fetidppc_ctx->S_j);CHKERRQ(ierr); 563 ierr = MatSchurComplementSetKSP(fetidppc_ctx->S_j,pcis->ksp_D);CHKERRQ(ierr); 564 PetscFunctionReturn(0); 565 } 566 567 #undef __FUNCT__ 568 #define __FUNCT__ "FETIDPMatMult" 569 PetscErrorCode FETIDPMatMult(Mat fetimat, Vec x, Vec y) 570 { 571 FETIDPMat_ctx mat_ctx; 572 PC_IS *pcis; 573 PetscErrorCode ierr; 574 575 PetscFunctionBegin; 576 ierr = MatShellGetContext(fetimat,(void**)&mat_ctx);CHKERRQ(ierr); 577 pcis = (PC_IS*)mat_ctx->pc->data; 578 /* Application of B_delta^T */ 579 ierr = VecScatterBegin(mat_ctx->l2g_lambda,x,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 580 ierr = VecScatterEnd(mat_ctx->l2g_lambda,x,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 581 ierr = MatMultTranspose(mat_ctx->B_delta,mat_ctx->lambda_local,pcis->vec1_B);CHKERRQ(ierr); 582 /* Application of \widetilde{S}^-1 */ 583 ierr = VecSet(pcis->vec1_D,0.0);CHKERRQ(ierr); 584 ierr = PCBDDCApplyInterfacePreconditioner(mat_ctx->pc,PETSC_FALSE);CHKERRQ(ierr); 585 /* Application of B_delta */ 586 ierr = MatMult(mat_ctx->B_delta,pcis->vec1_B,mat_ctx->lambda_local);CHKERRQ(ierr); 587 ierr = VecSet(y,0.0);CHKERRQ(ierr); 588 ierr = VecScatterBegin(mat_ctx->l2g_lambda,mat_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 589 ierr = VecScatterEnd(mat_ctx->l2g_lambda,mat_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 590 PetscFunctionReturn(0); 591 } 592 593 #undef __FUNCT__ 594 #define __FUNCT__ "FETIDPMatMultTranspose" 595 PetscErrorCode FETIDPMatMultTranspose(Mat fetimat, Vec x, Vec y) 596 { 597 FETIDPMat_ctx mat_ctx; 598 PC_IS *pcis; 599 PetscErrorCode ierr; 600 601 PetscFunctionBegin; 602 ierr = MatShellGetContext(fetimat,(void**)&mat_ctx);CHKERRQ(ierr); 603 pcis = (PC_IS*)mat_ctx->pc->data; 604 /* Application of B_delta^T */ 605 ierr = VecScatterBegin(mat_ctx->l2g_lambda,x,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 606 ierr = VecScatterEnd(mat_ctx->l2g_lambda,x,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 607 ierr = MatMultTranspose(mat_ctx->B_delta,mat_ctx->lambda_local,pcis->vec1_B);CHKERRQ(ierr); 608 /* Application of \widetilde{S}^-1 */ 609 ierr = VecSet(pcis->vec1_D,0.0);CHKERRQ(ierr); 610 ierr = PCBDDCApplyInterfacePreconditioner(mat_ctx->pc,PETSC_TRUE);CHKERRQ(ierr); 611 /* Application of B_delta */ 612 ierr = MatMult(mat_ctx->B_delta,pcis->vec1_B,mat_ctx->lambda_local);CHKERRQ(ierr); 613 ierr = VecSet(y,0.0);CHKERRQ(ierr); 614 ierr = VecScatterBegin(mat_ctx->l2g_lambda,mat_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 615 ierr = VecScatterEnd(mat_ctx->l2g_lambda,mat_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 616 PetscFunctionReturn(0); 617 } 618 619 #undef __FUNCT__ 620 #define __FUNCT__ "FETIDPPCApply" 621 PetscErrorCode FETIDPPCApply(PC fetipc, Vec x, Vec y) 622 { 623 FETIDPPC_ctx pc_ctx; 624 PC_IS *pcis; 625 PetscErrorCode ierr; 626 627 PetscFunctionBegin; 628 ierr = PCShellGetContext(fetipc,(void**)&pc_ctx);CHKERRQ(ierr); 629 pcis = (PC_IS*)pc_ctx->pc->data; 630 /* Application of B_Ddelta^T */ 631 ierr = VecScatterBegin(pc_ctx->l2g_lambda,x,pc_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 632 ierr = VecScatterEnd(pc_ctx->l2g_lambda,x,pc_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 633 ierr = VecSet(pcis->vec2_B,0.0);CHKERRQ(ierr); 634 ierr = MatMultTranspose(pc_ctx->B_Ddelta,pc_ctx->lambda_local,pcis->vec2_B);CHKERRQ(ierr); 635 /* Application of local Schur complement */ 636 ierr = MatMult(pc_ctx->S_j,pcis->vec2_B,pcis->vec1_B);CHKERRQ(ierr); 637 /* Application of B_Ddelta */ 638 ierr = MatMult(pc_ctx->B_Ddelta,pcis->vec1_B,pc_ctx->lambda_local);CHKERRQ(ierr); 639 ierr = VecSet(y,0.0);CHKERRQ(ierr); 640 ierr = VecScatterBegin(pc_ctx->l2g_lambda,pc_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 641 ierr = VecScatterEnd(pc_ctx->l2g_lambda,pc_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 642 PetscFunctionReturn(0); 643 } 644 645 #undef __FUNCT__ 646 #define __FUNCT__ "FETIDPPCApplyTranspose" 647 PetscErrorCode FETIDPPCApplyTranspose(PC fetipc, Vec x, Vec y) 648 { 649 FETIDPPC_ctx pc_ctx; 650 PC_IS *pcis; 651 PetscErrorCode ierr; 652 653 PetscFunctionBegin; 654 ierr = PCShellGetContext(fetipc,(void**)&pc_ctx);CHKERRQ(ierr); 655 pcis = (PC_IS*)pc_ctx->pc->data; 656 /* Application of B_Ddelta^T */ 657 ierr = VecScatterBegin(pc_ctx->l2g_lambda,x,pc_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 658 ierr = VecScatterEnd(pc_ctx->l2g_lambda,x,pc_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 659 ierr = VecSet(pcis->vec2_B,0.0);CHKERRQ(ierr); 660 ierr = MatMultTranspose(pc_ctx->B_Ddelta,pc_ctx->lambda_local,pcis->vec2_B);CHKERRQ(ierr); 661 /* Application of local Schur complement */ 662 ierr = MatMultTranspose(pc_ctx->S_j,pcis->vec2_B,pcis->vec1_B);CHKERRQ(ierr); 663 /* Application of B_Ddelta */ 664 ierr = MatMult(pc_ctx->B_Ddelta,pcis->vec1_B,pc_ctx->lambda_local);CHKERRQ(ierr); 665 ierr = VecSet(y,0.0);CHKERRQ(ierr); 666 ierr = VecScatterBegin(pc_ctx->l2g_lambda,pc_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 667 ierr = VecScatterEnd(pc_ctx->l2g_lambda,pc_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 668 PetscFunctionReturn(0); 669 } 670