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 PetscBool skip_node,fully_redundant; 97 PetscInt i,j,k,s,n_boundary_dofs,n_global_lambda,n_vertices,partial_sum; 98 PetscInt n_local_lambda,n_lambda_for_dof,dual_size,n_neg_values,n_pos_values; 99 PetscMPIInt rank,size,buf_size,neigh; 100 PetscScalar scalar_value; 101 PetscInt *vertex_indices; 102 PetscInt *dual_dofs_boundary_indices,*aux_local_numbering_1,*aux_global_numbering; 103 PetscInt *aux_sums,*cols_B_delta,*l2g_indices; 104 PetscScalar *array,*scaling_factors,*vals_B_delta; 105 PetscInt *aux_local_numbering_2; 106 /* For communication of scaling factors */ 107 PetscInt *ptrs_buffer,neigh_position; 108 PetscScalar **all_factors,*send_buffer,*recv_buffer; 109 MPI_Request *send_reqs,*recv_reqs; 110 /* tests */ 111 Vec test_vec; 112 PetscBool test_fetidp; 113 PetscViewer viewer; 114 115 PetscFunctionBegin; 116 ierr = PetscObjectGetComm((PetscObject)(fetidpmat_ctx->pc),&comm);CHKERRQ(ierr); 117 ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr); 118 ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr); 119 120 /* Default type of lagrange multipliers is non-redundant */ 121 fully_redundant = PETSC_FALSE; 122 ierr = PetscOptionsGetBool(NULL,"-fetidp_fullyredundant",&fully_redundant,NULL);CHKERRQ(ierr); 123 124 /* Evaluate local and global number of lagrange multipliers */ 125 ierr = VecSet(pcis->vec1_N,0.0);CHKERRQ(ierr); 126 n_local_lambda = 0; 127 partial_sum = 0; 128 n_boundary_dofs = 0; 129 s = 0; 130 /* Get Vertices used to define the BDDC */ 131 ierr = PCBDDCGetPrimalVerticesLocalIdx(fetidpmat_ctx->pc,&n_vertices,&vertex_indices);CHKERRQ(ierr); 132 dual_size = pcis->n_B-n_vertices; 133 ierr = PetscSortInt(n_vertices,vertex_indices);CHKERRQ(ierr); 134 ierr = PetscMalloc1(dual_size,&dual_dofs_boundary_indices);CHKERRQ(ierr); 135 ierr = PetscMalloc1(dual_size,&aux_local_numbering_1);CHKERRQ(ierr); 136 ierr = PetscMalloc1(dual_size,&aux_local_numbering_2);CHKERRQ(ierr); 137 138 ierr = VecGetArray(pcis->vec1_N,&array);CHKERRQ(ierr); 139 for (i=0;i<pcis->n;i++){ 140 j = mat_graph->count[i]; /* RECALL: mat_graph->count[i] does not count myself */ 141 if ( j > 0 ) { 142 n_boundary_dofs++; 143 } 144 skip_node = PETSC_FALSE; 145 if ( s < n_vertices && vertex_indices[s]==i) { /* it works for a sorted set of vertices */ 146 skip_node = PETSC_TRUE; 147 s++; 148 } 149 if (j < 1) { 150 skip_node = PETSC_TRUE; 151 } 152 if ( !skip_node ) { 153 if (fully_redundant) { 154 /* fully redundant set of lagrange multipliers */ 155 n_lambda_for_dof = (j*(j+1))/2; 156 } else { 157 n_lambda_for_dof = j; 158 } 159 n_local_lambda += j; 160 /* needed to evaluate global number of lagrange multipliers */ 161 array[i]=(1.0*n_lambda_for_dof)/(j+1.0); /* already scaled for the next global sum */ 162 /* store some data needed */ 163 dual_dofs_boundary_indices[partial_sum] = n_boundary_dofs-1; 164 aux_local_numbering_1[partial_sum] = i; 165 aux_local_numbering_2[partial_sum] = n_lambda_for_dof; 166 partial_sum++; 167 } 168 } 169 ierr = VecRestoreArray(pcis->vec1_N,&array);CHKERRQ(ierr); 170 171 ierr = VecSet(pcis->vec1_global,0.0);CHKERRQ(ierr); 172 ierr = VecScatterBegin(matis->ctx,pcis->vec1_N,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 173 ierr = VecScatterEnd (matis->ctx,pcis->vec1_N,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 174 ierr = VecSum(pcis->vec1_global,&scalar_value);CHKERRQ(ierr); 175 fetidpmat_ctx->n_lambda = (PetscInt)PetscRealPart(scalar_value); 176 177 /* compute global ordering of lagrange multipliers and associate l2g map */ 178 ierr = PCBDDCSubsetNumbering(comm,matis->mapping,partial_sum,aux_local_numbering_1,aux_local_numbering_2,&i,&aux_global_numbering);CHKERRQ(ierr); 179 if (i != fetidpmat_ctx->n_lambda) { 180 SETERRQ3(PETSC_COMM_WORLD,PETSC_ERR_PLIB,"Error in %s: global number of multipliers mismatch! (%d!=%d)\n",__FUNCT__,fetidpmat_ctx->n_lambda,i); 181 } 182 ierr = PetscFree(aux_local_numbering_2);CHKERRQ(ierr); 183 184 /* init data for scaling factors exchange */ 185 partial_sum = 0; 186 j = 0; 187 ierr = PetscMalloc1(pcis->n_neigh,&ptrs_buffer);CHKERRQ(ierr); 188 ierr = PetscMalloc1(pcis->n_neigh-1,&send_reqs);CHKERRQ(ierr); 189 ierr = PetscMalloc1(pcis->n_neigh-1,&recv_reqs);CHKERRQ(ierr); 190 ierr = PetscMalloc1(pcis->n,&all_factors);CHKERRQ(ierr); 191 ptrs_buffer[0]=0; 192 for (i=1;i<pcis->n_neigh;i++) { 193 partial_sum += pcis->n_shared[i]; 194 ptrs_buffer[i] = ptrs_buffer[i-1]+pcis->n_shared[i]; 195 } 196 ierr = PetscMalloc1(partial_sum,&send_buffer);CHKERRQ(ierr); 197 ierr = PetscMalloc1(partial_sum,&recv_buffer);CHKERRQ(ierr); 198 ierr = PetscMalloc1(partial_sum,&all_factors[0]);CHKERRQ(ierr); 199 for (i=0;i<pcis->n-1;i++) { 200 j = mat_graph->count[i]; 201 all_factors[i+1]=all_factors[i]+j; 202 } 203 /* scatter B scaling to N vec */ 204 ierr = VecScatterBegin(pcis->N_to_B,pcis->D,pcis->vec1_N,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 205 ierr = VecScatterEnd(pcis->N_to_B,pcis->D,pcis->vec1_N,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 206 /* communications */ 207 ierr = VecGetArray(pcis->vec1_N,&array);CHKERRQ(ierr); 208 for (i=1;i<pcis->n_neigh;i++) { 209 for (j=0;j<pcis->n_shared[i];j++) { 210 send_buffer[ptrs_buffer[i-1]+j]=array[pcis->shared[i][j]]; 211 } 212 ierr = PetscMPIIntCast(ptrs_buffer[i]-ptrs_buffer[i-1],&buf_size);CHKERRQ(ierr); 213 ierr = PetscMPIIntCast(pcis->neigh[i],&neigh);CHKERRQ(ierr); 214 ierr = MPI_Isend(&send_buffer[ptrs_buffer[i-1]],buf_size,MPIU_SCALAR,neigh,0,comm,&send_reqs[i-1]);CHKERRQ(ierr); 215 ierr = MPI_Irecv(&recv_buffer[ptrs_buffer[i-1]],buf_size,MPIU_SCALAR,neigh,0,comm,&recv_reqs[i-1]);CHKERRQ(ierr); 216 } 217 ierr = VecRestoreArray(pcis->vec1_N,&array);CHKERRQ(ierr); 218 ierr = MPI_Waitall((pcis->n_neigh-1),recv_reqs,MPI_STATUSES_IGNORE);CHKERRQ(ierr); 219 /* put values in correct places */ 220 for (i=1;i<pcis->n_neigh;i++) { 221 for (j=0;j<pcis->n_shared[i];j++) { 222 k = pcis->shared[i][j]; 223 neigh_position = 0; 224 while(mat_graph->neighbours_set[k][neigh_position] != pcis->neigh[i]) {neigh_position++;} 225 all_factors[k][neigh_position]=recv_buffer[ptrs_buffer[i-1]+j]; 226 } 227 } 228 ierr = MPI_Waitall((pcis->n_neigh-1),send_reqs,MPI_STATUSES_IGNORE);CHKERRQ(ierr); 229 ierr = PetscFree(send_reqs);CHKERRQ(ierr); 230 ierr = PetscFree(recv_reqs);CHKERRQ(ierr); 231 ierr = PetscFree(send_buffer);CHKERRQ(ierr); 232 ierr = PetscFree(recv_buffer);CHKERRQ(ierr); 233 ierr = PetscFree(ptrs_buffer);CHKERRQ(ierr); 234 235 /* Compute B and B_delta (local actions) */ 236 ierr = PetscMalloc1(pcis->n_neigh,&aux_sums);CHKERRQ(ierr); 237 ierr = PetscMalloc1(n_local_lambda,&l2g_indices);CHKERRQ(ierr); 238 ierr = PetscMalloc1(n_local_lambda,&vals_B_delta);CHKERRQ(ierr); 239 ierr = PetscMalloc1(n_local_lambda,&cols_B_delta);CHKERRQ(ierr); 240 ierr = PetscMalloc1(n_local_lambda,&scaling_factors);CHKERRQ(ierr); 241 n_global_lambda=0; 242 partial_sum=0; 243 for (i=0;i<dual_size;i++) { 244 n_global_lambda = aux_global_numbering[i]; 245 j = mat_graph->count[aux_local_numbering_1[i]]; 246 aux_sums[0]=0; 247 for (s=1;s<j;s++) { 248 aux_sums[s]=aux_sums[s-1]+j-s+1; 249 } 250 array = all_factors[aux_local_numbering_1[i]]; 251 n_neg_values = 0; 252 while(n_neg_values < j && mat_graph->neighbours_set[aux_local_numbering_1[i]][n_neg_values] < rank) {n_neg_values++;} 253 n_pos_values = j - n_neg_values; 254 if (fully_redundant) { 255 for (s=0;s<n_neg_values;s++) { 256 l2g_indices [partial_sum+s]=aux_sums[s]+n_neg_values-s-1+n_global_lambda; 257 cols_B_delta [partial_sum+s]=dual_dofs_boundary_indices[i]; 258 vals_B_delta [partial_sum+s]=-1.0; 259 scaling_factors[partial_sum+s]=array[s]; 260 } 261 for (s=0;s<n_pos_values;s++) { 262 l2g_indices [partial_sum+s+n_neg_values]=aux_sums[n_neg_values]+s+n_global_lambda; 263 cols_B_delta [partial_sum+s+n_neg_values]=dual_dofs_boundary_indices[i]; 264 vals_B_delta [partial_sum+s+n_neg_values]=1.0; 265 scaling_factors[partial_sum+s+n_neg_values]=array[s+n_neg_values]; 266 } 267 partial_sum += j; 268 } else { 269 /* l2g_indices and default cols and vals of B_delta */ 270 for (s=0;s<j;s++) { 271 l2g_indices [partial_sum+s]=n_global_lambda+s; 272 cols_B_delta [partial_sum+s]=dual_dofs_boundary_indices[i]; 273 vals_B_delta [partial_sum+s]=0.0; 274 } 275 /* B_delta */ 276 if ( n_neg_values > 0 ) { /* there's a rank next to me to the left */ 277 vals_B_delta [partial_sum+n_neg_values-1]=-1.0; 278 } 279 if ( n_neg_values < j ) { /* there's a rank next to me to the right */ 280 vals_B_delta [partial_sum+n_neg_values]=1.0; 281 } 282 /* scaling as in Klawonn-Widlund 1999*/ 283 for (s=0;s<n_neg_values;s++) { 284 scalar_value = 0.0; 285 for (k=0;k<s+1;k++) { 286 scalar_value += array[k]; 287 } 288 scaling_factors[partial_sum+s] = -scalar_value; 289 } 290 for (s=0;s<n_pos_values;s++) { 291 scalar_value = 0.0; 292 for (k=s+n_neg_values;k<j;k++) { 293 scalar_value += array[k]; 294 } 295 scaling_factors[partial_sum+s+n_neg_values] = scalar_value; 296 } 297 partial_sum += j; 298 } 299 } 300 ierr = PetscFree(aux_global_numbering);CHKERRQ(ierr); 301 ierr = PetscFree(aux_sums);CHKERRQ(ierr); 302 ierr = PetscFree(aux_local_numbering_1);CHKERRQ(ierr); 303 ierr = PetscFree(dual_dofs_boundary_indices);CHKERRQ(ierr); 304 ierr = PetscFree(all_factors[0]);CHKERRQ(ierr); 305 ierr = PetscFree(all_factors);CHKERRQ(ierr); 306 307 /* Local to global mapping of fetidpmat */ 308 ierr = VecCreate(PETSC_COMM_SELF,&fetidpmat_ctx->lambda_local);CHKERRQ(ierr); 309 ierr = VecSetSizes(fetidpmat_ctx->lambda_local,n_local_lambda,n_local_lambda);CHKERRQ(ierr); 310 ierr = VecSetType(fetidpmat_ctx->lambda_local,VECSEQ);CHKERRQ(ierr); 311 ierr = VecCreate(comm,&lambda_global);CHKERRQ(ierr); 312 ierr = VecSetSizes(lambda_global,PETSC_DECIDE,fetidpmat_ctx->n_lambda);CHKERRQ(ierr); 313 ierr = VecSetType(lambda_global,VECMPI);CHKERRQ(ierr); 314 ierr = ISCreateGeneral(comm,n_local_lambda,l2g_indices,PETSC_OWN_POINTER,&IS_l2g_lambda);CHKERRQ(ierr); 315 ierr = VecScatterCreate(fetidpmat_ctx->lambda_local,(IS)0,lambda_global,IS_l2g_lambda,&fetidpmat_ctx->l2g_lambda);CHKERRQ(ierr); 316 ierr = ISDestroy(&IS_l2g_lambda);CHKERRQ(ierr); 317 318 /* Create local part of B_delta */ 319 ierr = MatCreate(PETSC_COMM_SELF,&fetidpmat_ctx->B_delta);CHKERRQ(ierr); 320 ierr = MatSetSizes(fetidpmat_ctx->B_delta,n_local_lambda,pcis->n_B,n_local_lambda,pcis->n_B);CHKERRQ(ierr); 321 ierr = MatSetType(fetidpmat_ctx->B_delta,MATSEQAIJ);CHKERRQ(ierr); 322 ierr = MatSeqAIJSetPreallocation(fetidpmat_ctx->B_delta,1,NULL);CHKERRQ(ierr); 323 ierr = MatSetOption(fetidpmat_ctx->B_delta,MAT_IGNORE_ZERO_ENTRIES,PETSC_TRUE);CHKERRQ(ierr); 324 for (i=0;i<n_local_lambda;i++) { 325 ierr = MatSetValue(fetidpmat_ctx->B_delta,i,cols_B_delta[i],vals_B_delta[i],INSERT_VALUES);CHKERRQ(ierr); 326 } 327 ierr = PetscFree(vals_B_delta);CHKERRQ(ierr); 328 ierr = MatAssemblyBegin(fetidpmat_ctx->B_delta,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 329 ierr = MatAssemblyEnd (fetidpmat_ctx->B_delta,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 330 331 if (fully_redundant) { 332 ierr = MatCreate(PETSC_COMM_SELF,&ScalingMat);CHKERRQ(ierr); 333 ierr = MatSetSizes(ScalingMat,n_local_lambda,n_local_lambda,n_local_lambda,n_local_lambda);CHKERRQ(ierr); 334 ierr = MatSetType(ScalingMat,MATSEQAIJ);CHKERRQ(ierr); 335 ierr = MatSeqAIJSetPreallocation(ScalingMat,1,NULL);CHKERRQ(ierr); 336 for (i=0;i<n_local_lambda;i++) { 337 ierr = MatSetValue(ScalingMat,i,i,scaling_factors[i],INSERT_VALUES);CHKERRQ(ierr); 338 } 339 ierr = MatAssemblyBegin(ScalingMat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 340 ierr = MatAssemblyEnd (ScalingMat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 341 ierr = MatMatMult(ScalingMat,fetidpmat_ctx->B_delta,MAT_INITIAL_MATRIX,PETSC_DEFAULT,&fetidpmat_ctx->B_Ddelta);CHKERRQ(ierr); 342 ierr = MatDestroy(&ScalingMat);CHKERRQ(ierr); 343 } else { 344 ierr = MatCreate(PETSC_COMM_SELF,&fetidpmat_ctx->B_Ddelta);CHKERRQ(ierr); 345 ierr = MatSetSizes(fetidpmat_ctx->B_Ddelta,n_local_lambda,pcis->n_B,n_local_lambda,pcis->n_B);CHKERRQ(ierr); 346 ierr = MatSetType(fetidpmat_ctx->B_Ddelta,MATSEQAIJ);CHKERRQ(ierr); 347 ierr = MatSeqAIJSetPreallocation(fetidpmat_ctx->B_Ddelta,1,NULL);CHKERRQ(ierr); 348 for (i=0;i<n_local_lambda;i++) { 349 ierr = MatSetValue(fetidpmat_ctx->B_Ddelta,i,cols_B_delta[i],scaling_factors[i],INSERT_VALUES);CHKERRQ(ierr); 350 } 351 ierr = MatAssemblyBegin(fetidpmat_ctx->B_Ddelta,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 352 ierr = MatAssemblyEnd (fetidpmat_ctx->B_Ddelta,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 353 } 354 ierr = PetscFree(scaling_factors);CHKERRQ(ierr); 355 ierr = PetscFree(cols_B_delta);CHKERRQ(ierr); 356 357 /* Create some vectors needed by fetidp */ 358 ierr = VecDuplicate(pcis->vec1_B,&fetidpmat_ctx->temp_solution_B);CHKERRQ(ierr); 359 ierr = VecDuplicate(pcis->vec1_D,&fetidpmat_ctx->temp_solution_D);CHKERRQ(ierr); 360 361 test_fetidp = PETSC_FALSE; 362 ierr = PetscOptionsGetBool(NULL,"-fetidp_check",&test_fetidp,NULL);CHKERRQ(ierr); 363 364 if (test_fetidp && !pcbddc->use_deluxe_scaling) { 365 366 PetscReal real_value; 367 368 ierr = PetscViewerASCIIGetStdout(comm,&viewer);CHKERRQ(ierr); 369 ierr = PetscViewerASCIISynchronizedAllow(viewer,PETSC_TRUE);CHKERRQ(ierr); 370 ierr = PetscViewerASCIIPrintf(viewer,"----------FETI_DP TESTS--------------\n");CHKERRQ(ierr); 371 ierr = PetscViewerASCIIPrintf(viewer,"All tests should return zero!\n");CHKERRQ(ierr); 372 ierr = PetscViewerASCIIPrintf(viewer,"FETIDP MAT context in the ");CHKERRQ(ierr); 373 if (fully_redundant) { 374 ierr = PetscViewerASCIIPrintf(viewer,"fully redundant case for lagrange multipliers.\n");CHKERRQ(ierr); 375 } else { 376 ierr = PetscViewerASCIIPrintf(viewer,"Non-fully redundant case for lagrange multiplier.\n");CHKERRQ(ierr); 377 } 378 ierr = PetscViewerFlush(viewer);CHKERRQ(ierr); 379 380 /******************************************************************/ 381 /* TEST A/B: Test numbering of global lambda dofs */ 382 /******************************************************************/ 383 384 ierr = VecDuplicate(fetidpmat_ctx->lambda_local,&test_vec);CHKERRQ(ierr); 385 ierr = VecSet(lambda_global,1.0);CHKERRQ(ierr); 386 ierr = VecSet(test_vec,1.0);CHKERRQ(ierr); 387 ierr = VecScatterBegin(fetidpmat_ctx->l2g_lambda,lambda_global,fetidpmat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 388 ierr = VecScatterEnd (fetidpmat_ctx->l2g_lambda,lambda_global,fetidpmat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 389 scalar_value = -1.0; 390 ierr = VecAXPY(test_vec,scalar_value,fetidpmat_ctx->lambda_local);CHKERRQ(ierr); 391 ierr = VecNorm(test_vec,NORM_INFINITY,&real_value);CHKERRQ(ierr); 392 ierr = VecDestroy(&test_vec);CHKERRQ(ierr); 393 ierr = PetscViewerASCIISynchronizedPrintf(viewer,"A[%04d]: CHECK glob to loc: % 1.14e\n",rank,real_value);CHKERRQ(ierr); 394 ierr = PetscViewerFlush(viewer);CHKERRQ(ierr); 395 if (fully_redundant) { 396 ierr = VecSet(lambda_global,0.0);CHKERRQ(ierr); 397 ierr = VecSet(fetidpmat_ctx->lambda_local,0.5);CHKERRQ(ierr); 398 ierr = VecScatterBegin(fetidpmat_ctx->l2g_lambda,fetidpmat_ctx->lambda_local,lambda_global,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 399 ierr = VecScatterEnd (fetidpmat_ctx->l2g_lambda,fetidpmat_ctx->lambda_local,lambda_global,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 400 ierr = VecSum(lambda_global,&scalar_value);CHKERRQ(ierr); 401 ierr = PetscViewerASCIISynchronizedPrintf(viewer,"B[%04d]: CHECK loc to glob: % 1.14e\n",rank,PetscRealPart(scalar_value)-fetidpmat_ctx->n_lambda);CHKERRQ(ierr); 402 ierr = PetscViewerFlush(viewer);CHKERRQ(ierr); 403 } 404 405 /******************************************************************/ 406 /* TEST C: It should holds B_delta*w=0, w\in\widehat{W} */ 407 /* This is the meaning of the B matrix */ 408 /******************************************************************/ 409 410 ierr = VecSetRandom(pcis->vec1_N,NULL);CHKERRQ(ierr); 411 ierr = VecSet(pcis->vec1_global,0.0);CHKERRQ(ierr); 412 ierr = VecScatterBegin(matis->ctx,pcis->vec1_N,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 413 ierr = VecScatterEnd (matis->ctx,pcis->vec1_N,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 414 ierr = VecScatterBegin(matis->ctx,pcis->vec1_global,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 415 ierr = VecScatterEnd (matis->ctx,pcis->vec1_global,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 416 ierr = VecScatterBegin(pcis->N_to_B,pcis->vec1_N,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 417 ierr = VecScatterEnd (pcis->N_to_B,pcis->vec1_N,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 418 /* Action of B_delta */ 419 ierr = MatMult(fetidpmat_ctx->B_delta,pcis->vec1_B,fetidpmat_ctx->lambda_local);CHKERRQ(ierr); 420 ierr = VecSet(lambda_global,0.0);CHKERRQ(ierr); 421 ierr = VecScatterBegin(fetidpmat_ctx->l2g_lambda,fetidpmat_ctx->lambda_local,lambda_global,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 422 ierr = VecScatterEnd (fetidpmat_ctx->l2g_lambda,fetidpmat_ctx->lambda_local,lambda_global,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 423 ierr = VecNorm(lambda_global,NORM_INFINITY,&real_value);CHKERRQ(ierr); 424 ierr = PetscViewerASCIIPrintf(viewer,"C[coll]: CHECK infty norm of B_delta*w (w continuous): % 1.14e\n",real_value);CHKERRQ(ierr); 425 ierr = PetscViewerFlush(viewer);CHKERRQ(ierr); 426 427 /******************************************************************/ 428 /* TEST D: It should holds E_Dw = w - P_Dw w\in\widetilde{W} */ 429 /* E_D = R_D^TR */ 430 /* P_D = B_{D,delta}^T B_{delta} */ 431 /* eq.44 Mandel Tezaur and Dohrmann 2005 */ 432 /******************************************************************/ 433 434 /* compute a random vector in \widetilde{W} */ 435 ierr = VecSetRandom(pcis->vec1_N,NULL);CHKERRQ(ierr); 436 scalar_value = 0.0; /* set zero at vertices */ 437 ierr = VecGetArray(pcis->vec1_N,&array);CHKERRQ(ierr); 438 for (i=0;i<n_vertices;i++) { array[vertex_indices[i]]=scalar_value; } 439 ierr = VecRestoreArray(pcis->vec1_N,&array);CHKERRQ(ierr); 440 /* store w for final comparison */ 441 ierr = VecDuplicate(pcis->vec1_B,&test_vec);CHKERRQ(ierr); 442 ierr = VecScatterBegin(pcis->N_to_B,pcis->vec1_N,test_vec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 443 ierr = VecScatterEnd (pcis->N_to_B,pcis->vec1_N,test_vec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 444 445 /* Jump operator P_D : results stored in pcis->vec1_B */ 446 447 ierr = VecScatterBegin(pcis->N_to_B,pcis->vec1_N,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 448 ierr = VecScatterEnd (pcis->N_to_B,pcis->vec1_N,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 449 /* Action of B_delta */ 450 ierr = MatMult(fetidpmat_ctx->B_delta,pcis->vec1_B,fetidpmat_ctx->lambda_local);CHKERRQ(ierr); 451 ierr = VecSet(lambda_global,0.0);CHKERRQ(ierr); 452 ierr = VecScatterBegin(fetidpmat_ctx->l2g_lambda,fetidpmat_ctx->lambda_local,lambda_global,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 453 ierr = VecScatterEnd (fetidpmat_ctx->l2g_lambda,fetidpmat_ctx->lambda_local,lambda_global,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 454 /* Action of B_Ddelta^T */ 455 ierr = VecScatterBegin(fetidpmat_ctx->l2g_lambda,lambda_global,fetidpmat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 456 ierr = VecScatterEnd (fetidpmat_ctx->l2g_lambda,lambda_global,fetidpmat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 457 ierr = MatMultTranspose(fetidpmat_ctx->B_Ddelta,fetidpmat_ctx->lambda_local,pcis->vec1_B);CHKERRQ(ierr); 458 459 /* Average operator E_D : results stored in pcis->vec2_B */ 460 ierr = VecScatterBegin(pcis->N_to_B,pcis->vec1_N,pcis->vec2_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 461 ierr = VecScatterEnd (pcis->N_to_B,pcis->vec1_N,pcis->vec2_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 462 ierr = PCBDDCScalingExtension(fetidpmat_ctx->pc,pcis->vec2_B,pcis->vec1_global);CHKERRQ(ierr); 463 ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_global,pcis->vec2_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 464 ierr = VecScatterEnd (pcis->global_to_B,pcis->vec1_global,pcis->vec2_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 465 466 /* test E_D=I-P_D */ 467 scalar_value = 1.0; 468 ierr = VecAXPY(pcis->vec1_B,scalar_value,pcis->vec2_B);CHKERRQ(ierr); 469 scalar_value = -1.0; 470 ierr = VecAXPY(pcis->vec1_B,scalar_value,test_vec);CHKERRQ(ierr); 471 ierr = VecNorm(pcis->vec1_B,NORM_INFINITY,&real_value);CHKERRQ(ierr); 472 ierr = VecDestroy(&test_vec);CHKERRQ(ierr); 473 ierr = PetscViewerASCIISynchronizedPrintf(viewer,"D[%04d] CHECK infty norm of E_D + P_D - I: % 1.14e\n",rank,real_value);CHKERRQ(ierr); 474 ierr = PetscViewerFlush(viewer);CHKERRQ(ierr); 475 476 /******************************************************************/ 477 /* TEST E: It should holds R_D^TP_Dw=0 w\in\widetilde{W} */ 478 /* eq.48 Mandel Tezaur and Dohrmann 2005 */ 479 /******************************************************************/ 480 481 ierr = VecSetRandom(pcis->vec1_N,NULL);CHKERRQ(ierr); 482 ierr = VecGetArray(pcis->vec1_N,&array);CHKERRQ(ierr); 483 scalar_value = 0.0; /* set zero at vertices */ 484 for (i=0;i<n_vertices;i++) { array[vertex_indices[i]]=scalar_value; } 485 ierr = VecRestoreArray(pcis->vec1_N,&array);CHKERRQ(ierr); 486 487 /* Jump operator P_D : results stored in pcis->vec1_B */ 488 489 ierr = VecScatterBegin(pcis->N_to_B,pcis->vec1_N,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 490 ierr = VecScatterEnd (pcis->N_to_B,pcis->vec1_N,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 491 /* Action of B_delta */ 492 ierr = MatMult(fetidpmat_ctx->B_delta,pcis->vec1_B,fetidpmat_ctx->lambda_local);CHKERRQ(ierr); 493 ierr = VecSet(lambda_global,0.0);CHKERRQ(ierr); 494 ierr = VecScatterBegin(fetidpmat_ctx->l2g_lambda,fetidpmat_ctx->lambda_local,lambda_global,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 495 ierr = VecScatterEnd (fetidpmat_ctx->l2g_lambda,fetidpmat_ctx->lambda_local,lambda_global,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 496 /* Action of B_Ddelta^T */ 497 ierr = VecScatterBegin(fetidpmat_ctx->l2g_lambda,lambda_global,fetidpmat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 498 ierr = VecScatterEnd (fetidpmat_ctx->l2g_lambda,lambda_global,fetidpmat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 499 ierr = MatMultTranspose(fetidpmat_ctx->B_Ddelta,fetidpmat_ctx->lambda_local,pcis->vec1_B);CHKERRQ(ierr); 500 /* scaling */ 501 ierr = PCBDDCScalingExtension(fetidpmat_ctx->pc,pcis->vec1_B,pcis->vec1_global);CHKERRQ(ierr); 502 ierr = VecNorm(pcis->vec1_global,NORM_INFINITY,&real_value);CHKERRQ(ierr); 503 ierr = PetscViewerASCIIPrintf(viewer,"E[coll]: CHECK infty norm of R^T_D P_D: % 1.14e\n",real_value);CHKERRQ(ierr); 504 ierr = PetscViewerFlush(viewer);CHKERRQ(ierr); 505 506 if (!fully_redundant) { 507 /******************************************************************/ 508 /* TEST F: It should holds B_{delta}B^T_{D,delta}=I */ 509 /* Corollary thm 14 Mandel Tezaur and Dohrmann 2005 */ 510 /******************************************************************/ 511 ierr = VecDuplicate(lambda_global,&test_vec);CHKERRQ(ierr); 512 ierr = VecSetRandom(lambda_global,NULL);CHKERRQ(ierr); 513 /* Action of B_Ddelta^T */ 514 ierr = VecScatterBegin(fetidpmat_ctx->l2g_lambda,lambda_global,fetidpmat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 515 ierr = VecScatterEnd (fetidpmat_ctx->l2g_lambda,lambda_global,fetidpmat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 516 ierr = MatMultTranspose(fetidpmat_ctx->B_Ddelta,fetidpmat_ctx->lambda_local,pcis->vec1_B);CHKERRQ(ierr); 517 /* Action of B_delta */ 518 ierr = MatMult(fetidpmat_ctx->B_delta,pcis->vec1_B,fetidpmat_ctx->lambda_local);CHKERRQ(ierr); 519 ierr = VecSet(test_vec,0.0);CHKERRQ(ierr); 520 ierr = VecScatterBegin(fetidpmat_ctx->l2g_lambda,fetidpmat_ctx->lambda_local,test_vec,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 521 ierr = VecScatterEnd (fetidpmat_ctx->l2g_lambda,fetidpmat_ctx->lambda_local,test_vec,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 522 scalar_value = -1.0; 523 ierr = VecAXPY(lambda_global,scalar_value,test_vec);CHKERRQ(ierr); 524 ierr = VecNorm(lambda_global,NORM_INFINITY,&real_value);CHKERRQ(ierr); 525 ierr = PetscViewerASCIIPrintf(viewer,"E[coll]: CHECK infty norm of P^T_D - I: % 1.14e\n",real_value);CHKERRQ(ierr); 526 ierr = PetscViewerFlush(viewer);CHKERRQ(ierr); 527 ierr = PetscViewerFlush(viewer);CHKERRQ(ierr); 528 ierr = VecDestroy(&test_vec);CHKERRQ(ierr); 529 } 530 } 531 /* final cleanup */ 532 ierr = PetscFree(vertex_indices);CHKERRQ(ierr); 533 ierr = VecDestroy(&lambda_global);CHKERRQ(ierr); 534 535 PetscFunctionReturn(0); 536 } 537 538 #undef __FUNCT__ 539 #define __FUNCT__ "PCBDDCSetupFETIDPPCContext" 540 PetscErrorCode PCBDDCSetupFETIDPPCContext(Mat fetimat, FETIDPPC_ctx fetidppc_ctx) 541 { 542 FETIDPMat_ctx mat_ctx; 543 PC_IS *pcis; 544 PetscErrorCode ierr; 545 546 PetscFunctionBegin; 547 ierr = MatShellGetContext(fetimat,(void**)&mat_ctx);CHKERRQ(ierr); 548 /* get references from objects created when setting up feti mat context */ 549 ierr = PetscObjectReference((PetscObject)mat_ctx->lambda_local);CHKERRQ(ierr); 550 fetidppc_ctx->lambda_local = mat_ctx->lambda_local; 551 ierr = PetscObjectReference((PetscObject)mat_ctx->B_Ddelta);CHKERRQ(ierr); 552 fetidppc_ctx->B_Ddelta = mat_ctx->B_Ddelta; 553 ierr = PetscObjectReference((PetscObject)mat_ctx->l2g_lambda);CHKERRQ(ierr); 554 fetidppc_ctx->l2g_lambda = mat_ctx->l2g_lambda; 555 /* create local Schur complement matrix */ 556 pcis = (PC_IS*)fetidppc_ctx->pc->data; 557 ierr = MatCreateSchurComplement(pcis->A_II,pcis->A_II,pcis->A_IB,pcis->A_BI,pcis->A_BB,&fetidppc_ctx->S_j);CHKERRQ(ierr); 558 ierr = MatSchurComplementSetKSP(fetidppc_ctx->S_j,pcis->ksp_D);CHKERRQ(ierr); 559 PetscFunctionReturn(0); 560 } 561 562 #undef __FUNCT__ 563 #define __FUNCT__ "FETIDPMatMult" 564 PetscErrorCode FETIDPMatMult(Mat fetimat, Vec x, Vec y) 565 { 566 FETIDPMat_ctx mat_ctx; 567 PC_IS *pcis; 568 PetscErrorCode ierr; 569 570 PetscFunctionBegin; 571 ierr = MatShellGetContext(fetimat,(void**)&mat_ctx);CHKERRQ(ierr); 572 pcis = (PC_IS*)mat_ctx->pc->data; 573 /* Application of B_delta^T */ 574 ierr = VecScatterBegin(mat_ctx->l2g_lambda,x,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 575 ierr = VecScatterEnd(mat_ctx->l2g_lambda,x,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 576 ierr = MatMultTranspose(mat_ctx->B_delta,mat_ctx->lambda_local,pcis->vec1_B);CHKERRQ(ierr); 577 /* Application of \widetilde{S}^-1 */ 578 ierr = VecSet(pcis->vec1_D,0.0);CHKERRQ(ierr); 579 ierr = PCBDDCApplyInterfacePreconditioner(mat_ctx->pc,PETSC_FALSE);CHKERRQ(ierr); 580 /* Application of B_delta */ 581 ierr = MatMult(mat_ctx->B_delta,pcis->vec1_B,mat_ctx->lambda_local);CHKERRQ(ierr); 582 ierr = VecSet(y,0.0);CHKERRQ(ierr); 583 ierr = VecScatterBegin(mat_ctx->l2g_lambda,mat_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 584 ierr = VecScatterEnd(mat_ctx->l2g_lambda,mat_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 585 PetscFunctionReturn(0); 586 } 587 588 #undef __FUNCT__ 589 #define __FUNCT__ "FETIDPMatMultTranspose" 590 PetscErrorCode FETIDPMatMultTranspose(Mat fetimat, Vec x, Vec y) 591 { 592 FETIDPMat_ctx mat_ctx; 593 PC_IS *pcis; 594 PetscErrorCode ierr; 595 596 PetscFunctionBegin; 597 ierr = MatShellGetContext(fetimat,(void**)&mat_ctx);CHKERRQ(ierr); 598 pcis = (PC_IS*)mat_ctx->pc->data; 599 /* Application of B_delta^T */ 600 ierr = VecScatterBegin(mat_ctx->l2g_lambda,x,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 601 ierr = VecScatterEnd(mat_ctx->l2g_lambda,x,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 602 ierr = MatMultTranspose(mat_ctx->B_delta,mat_ctx->lambda_local,pcis->vec1_B);CHKERRQ(ierr); 603 /* Application of \widetilde{S}^-1 */ 604 ierr = VecSet(pcis->vec1_D,0.0);CHKERRQ(ierr); 605 ierr = PCBDDCApplyInterfacePreconditioner(mat_ctx->pc,PETSC_TRUE);CHKERRQ(ierr); 606 /* Application of B_delta */ 607 ierr = MatMult(mat_ctx->B_delta,pcis->vec1_B,mat_ctx->lambda_local);CHKERRQ(ierr); 608 ierr = VecSet(y,0.0);CHKERRQ(ierr); 609 ierr = VecScatterBegin(mat_ctx->l2g_lambda,mat_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 610 ierr = VecScatterEnd(mat_ctx->l2g_lambda,mat_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 611 PetscFunctionReturn(0); 612 } 613 614 #undef __FUNCT__ 615 #define __FUNCT__ "FETIDPPCApply" 616 PetscErrorCode FETIDPPCApply(PC fetipc, Vec x, Vec y) 617 { 618 FETIDPPC_ctx pc_ctx; 619 PC_IS *pcis; 620 PetscErrorCode ierr; 621 622 PetscFunctionBegin; 623 ierr = PCShellGetContext(fetipc,(void**)&pc_ctx);CHKERRQ(ierr); 624 pcis = (PC_IS*)pc_ctx->pc->data; 625 /* Application of B_Ddelta^T */ 626 ierr = VecScatterBegin(pc_ctx->l2g_lambda,x,pc_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 627 ierr = VecScatterEnd(pc_ctx->l2g_lambda,x,pc_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 628 ierr = VecSet(pcis->vec2_B,0.0);CHKERRQ(ierr); 629 ierr = MatMultTranspose(pc_ctx->B_Ddelta,pc_ctx->lambda_local,pcis->vec2_B);CHKERRQ(ierr); 630 /* Application of local Schur complement */ 631 ierr = MatMult(pc_ctx->S_j,pcis->vec2_B,pcis->vec1_B);CHKERRQ(ierr); 632 /* Application of B_Ddelta */ 633 ierr = MatMult(pc_ctx->B_Ddelta,pcis->vec1_B,pc_ctx->lambda_local);CHKERRQ(ierr); 634 ierr = VecSet(y,0.0);CHKERRQ(ierr); 635 ierr = VecScatterBegin(pc_ctx->l2g_lambda,pc_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 636 ierr = VecScatterEnd(pc_ctx->l2g_lambda,pc_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 637 PetscFunctionReturn(0); 638 } 639 640 #undef __FUNCT__ 641 #define __FUNCT__ "FETIDPPCApplyTranspose" 642 PetscErrorCode FETIDPPCApplyTranspose(PC fetipc, Vec x, Vec y) 643 { 644 FETIDPPC_ctx pc_ctx; 645 PC_IS *pcis; 646 PetscErrorCode ierr; 647 648 PetscFunctionBegin; 649 ierr = PCShellGetContext(fetipc,(void**)&pc_ctx);CHKERRQ(ierr); 650 pcis = (PC_IS*)pc_ctx->pc->data; 651 /* Application of B_Ddelta^T */ 652 ierr = VecScatterBegin(pc_ctx->l2g_lambda,x,pc_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 653 ierr = VecScatterEnd(pc_ctx->l2g_lambda,x,pc_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 654 ierr = VecSet(pcis->vec2_B,0.0);CHKERRQ(ierr); 655 ierr = MatMultTranspose(pc_ctx->B_Ddelta,pc_ctx->lambda_local,pcis->vec2_B);CHKERRQ(ierr); 656 /* Application of local Schur complement */ 657 ierr = MatMultTranspose(pc_ctx->S_j,pcis->vec2_B,pcis->vec1_B);CHKERRQ(ierr); 658 /* Application of B_Ddelta */ 659 ierr = MatMult(pc_ctx->B_Ddelta,pcis->vec1_B,pc_ctx->lambda_local);CHKERRQ(ierr); 660 ierr = VecSet(y,0.0);CHKERRQ(ierr); 661 ierr = VecScatterBegin(pc_ctx->l2g_lambda,pc_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 662 ierr = VecScatterEnd(pc_ctx->l2g_lambda,pc_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 663 PetscFunctionReturn(0); 664 } 665