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 /* increase the reference count for BDDC preconditioner */ 14 ierr = PetscObjectReference((PetscObject)pc);CHKERRQ(ierr); 15 newctx->pc = pc; 16 *fetidpmat_ctx = newctx; 17 PetscFunctionReturn(0); 18 } 19 20 #undef __FUNCT__ 21 #define __FUNCT__ "PCBDDCCreateFETIDPPCContext" 22 PetscErrorCode PCBDDCCreateFETIDPPCContext(PC pc, FETIDPPC_ctx *fetidppc_ctx) 23 { 24 FETIDPPC_ctx newctx; 25 PetscErrorCode ierr; 26 27 PetscFunctionBegin; 28 ierr = PetscNew(&newctx);CHKERRQ(ierr); 29 /* increase the reference count for BDDC preconditioner */ 30 ierr = PetscObjectReference((PetscObject)pc);CHKERRQ(ierr); 31 newctx->pc = pc; 32 *fetidppc_ctx = newctx; 33 PetscFunctionReturn(0); 34 } 35 36 #undef __FUNCT__ 37 #define __FUNCT__ "PCBDDCDestroyFETIDPMat" 38 PetscErrorCode PCBDDCDestroyFETIDPMat(Mat A) 39 { 40 FETIDPMat_ctx mat_ctx; 41 PetscErrorCode ierr; 42 43 PetscFunctionBegin; 44 ierr = MatShellGetContext(A,(void**)&mat_ctx);CHKERRQ(ierr); 45 ierr = VecDestroy(&mat_ctx->lambda_local);CHKERRQ(ierr); 46 ierr = VecDestroy(&mat_ctx->temp_solution_D);CHKERRQ(ierr); 47 ierr = VecDestroy(&mat_ctx->temp_solution_B);CHKERRQ(ierr); 48 ierr = MatDestroy(&mat_ctx->B_delta);CHKERRQ(ierr); 49 ierr = MatDestroy(&mat_ctx->B_Ddelta);CHKERRQ(ierr); 50 ierr = MatDestroy(&mat_ctx->B_BB);CHKERRQ(ierr); 51 ierr = MatDestroy(&mat_ctx->B_BI);CHKERRQ(ierr); 52 ierr = MatDestroy(&mat_ctx->Bt_BB);CHKERRQ(ierr); 53 ierr = MatDestroy(&mat_ctx->Bt_BI);CHKERRQ(ierr); 54 ierr = MatDestroy(&mat_ctx->C);CHKERRQ(ierr); 55 ierr = VecDestroy(&mat_ctx->vP);CHKERRQ(ierr); 56 ierr = VecDestroy(&mat_ctx->xPg);CHKERRQ(ierr); 57 ierr = VecDestroy(&mat_ctx->yPg);CHKERRQ(ierr); 58 ierr = VecDestroy(&mat_ctx->work);CHKERRQ(ierr); 59 ierr = VecScatterDestroy(&mat_ctx->l2g_lambda);CHKERRQ(ierr); 60 ierr = VecScatterDestroy(&mat_ctx->l2g_p);CHKERRQ(ierr); 61 ierr = VecScatterDestroy(&mat_ctx->g2g);CHKERRQ(ierr); 62 ierr = VecScatterDestroy(&mat_ctx->g2l_p);CHKERRQ(ierr); 63 ierr = PCDestroy(&mat_ctx->pc);CHKERRQ(ierr); /* decrease PCBDDC reference count */ 64 ierr = PetscFree(mat_ctx);CHKERRQ(ierr); 65 PetscFunctionReturn(0); 66 } 67 68 #undef __FUNCT__ 69 #define __FUNCT__ "PCBDDCDestroyFETIDPPC" 70 PetscErrorCode PCBDDCDestroyFETIDPPC(PC pc) 71 { 72 FETIDPPC_ctx pc_ctx; 73 PetscErrorCode ierr; 74 75 PetscFunctionBegin; 76 ierr = PCShellGetContext(pc,(void**)&pc_ctx);CHKERRQ(ierr); 77 ierr = VecDestroy(&pc_ctx->lambda_local);CHKERRQ(ierr); 78 ierr = MatDestroy(&pc_ctx->B_Ddelta);CHKERRQ(ierr); 79 ierr = VecScatterDestroy(&pc_ctx->l2g_lambda);CHKERRQ(ierr); 80 ierr = MatDestroy(&pc_ctx->S_j);CHKERRQ(ierr); 81 ierr = PCDestroy(&pc_ctx->pc);CHKERRQ(ierr); /* decrease PCBDDC reference count */ 82 ierr = KSPDestroy(&pc_ctx->kP);CHKERRQ(ierr); 83 ierr = VecDestroy(&pc_ctx->xPg);CHKERRQ(ierr); 84 ierr = VecDestroy(&pc_ctx->yPg);CHKERRQ(ierr); 85 ierr = PetscFree(pc_ctx);CHKERRQ(ierr); 86 PetscFunctionReturn(0); 87 } 88 89 #undef __FUNCT__ 90 #define __FUNCT__ "PCBDDCSetupFETIDPMatContext" 91 PetscErrorCode PCBDDCSetupFETIDPMatContext(FETIDPMat_ctx fetidpmat_ctx ) 92 { 93 PetscErrorCode ierr; 94 PC_IS *pcis=(PC_IS*)fetidpmat_ctx->pc->data; 95 PC_BDDC *pcbddc=(PC_BDDC*)fetidpmat_ctx->pc->data; 96 PCBDDCGraph mat_graph=pcbddc->mat_graph; 97 Mat_IS *matis = (Mat_IS*)fetidpmat_ctx->pc->pmat->data; 98 MPI_Comm comm; 99 Mat ScalingMat; 100 Vec fetidp_global; 101 IS IS_l2g_lambda; 102 IS subset,subset_mult,subset_n; 103 PetscBool skip_node,fully_redundant; 104 PetscInt i,j,k,s,n_boundary_dofs,n_global_lambda,n_vertices,partial_sum; 105 PetscInt cum,n_local_lambda,n_lambda_for_dof,dual_size,n_neg_values,n_pos_values; 106 PetscMPIInt rank,size,buf_size,neigh; 107 PetscScalar scalar_value; 108 PetscInt *vertex_indices; 109 PetscInt *dual_dofs_boundary_indices,*aux_local_numbering_1; 110 const PetscInt *aux_global_numbering; 111 PetscInt *aux_sums,*cols_B_delta,*l2g_indices; 112 PetscScalar *array,*scaling_factors,*vals_B_delta; 113 PetscInt *aux_local_numbering_2; 114 PetscLayout llay; 115 /* For communication of scaling factors */ 116 PetscInt *ptrs_buffer,neigh_position; 117 PetscScalar **all_factors,*send_buffer,*recv_buffer; 118 MPI_Request *send_reqs,*recv_reqs; 119 /* tests */ 120 Vec test_vec; 121 PetscBool test_fetidp; 122 PetscViewer viewer; 123 /* saddlepoint */ 124 Mat oA; 125 ISLocalToGlobalMapping l2gmap_p; 126 PetscLayout play; 127 IS gP,pP; 128 PetscInt nPl,nPg,nPgl; 129 130 PetscFunctionBegin; 131 ierr = PetscObjectGetComm((PetscObject)(fetidpmat_ctx->pc),&comm);CHKERRQ(ierr); 132 ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr); 133 ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr); 134 135 /* saddlepoint */ 136 nPl = 0; 137 nPg = 0; 138 nPgl = 0; 139 gP = NULL; 140 pP = NULL; 141 l2gmap_p = NULL; 142 play = NULL; 143 oA = NULL; 144 ierr = PetscObjectQuery((PetscObject)fetidpmat_ctx->pc,"__KSPFETIDP_A",(PetscObject*)&oA);CHKERRQ(ierr); 145 if (oA) { /* oA is the original matrix */ 146 /* pressures in parallel layout of oA */ 147 ierr = PetscObjectQuery((PetscObject)fetidpmat_ctx->pc,"__KSPFETIDP_pP",(PetscObject*)&pP);CHKERRQ(ierr); 148 if (!pP) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"pP not present"); 149 150 /* subdomain pressures in global numbering */ 151 ierr = PetscObjectQuery((PetscObject)fetidpmat_ctx->pc,"__KSPFETIDP_gP",(PetscObject*)&gP);CHKERRQ(ierr); 152 if (!gP) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"gP not present"); 153 ierr = ISGetLocalSize(gP,&nPl);CHKERRQ(ierr); 154 ierr = VecCreate(PETSC_COMM_SELF,&fetidpmat_ctx->vP);CHKERRQ(ierr); 155 ierr = VecSetSizes(fetidpmat_ctx->vP,nPl,nPl);CHKERRQ(ierr); 156 ierr = VecSetType(fetidpmat_ctx->vP,VECSTANDARD);CHKERRQ(ierr); 157 ierr = VecSetUp(fetidpmat_ctx->vP);CHKERRQ(ierr); 158 159 /* interface pressure matrix */ 160 ierr = PetscObjectQuery((PetscObject)fetidpmat_ctx->pc,"__KSPFETIDP_C",(PetscObject*)&fetidpmat_ctx->C);CHKERRQ(ierr); 161 if (!fetidpmat_ctx->C) { /* null pressure block, compute layout and global numbering for interface pressures */ 162 IS Pg; 163 164 ierr = ISRenumber(gP,NULL,&nPg,&Pg);CHKERRQ(ierr); 165 ierr = ISLocalToGlobalMappingCreateIS(Pg,&l2gmap_p);CHKERRQ(ierr); 166 ierr = ISDestroy(&Pg);CHKERRQ(ierr); 167 ierr = PetscLayoutCreate(comm,&play);CHKERRQ(ierr); 168 ierr = PetscLayoutSetBlockSize(play,1);CHKERRQ(ierr); 169 ierr = PetscLayoutSetSize(play,nPg);CHKERRQ(ierr); 170 ierr = ISGetLocalSize(pP,&nPgl);CHKERRQ(ierr); 171 ierr = PetscLayoutSetLocalSize(play,nPgl);CHKERRQ(ierr); 172 ierr = PetscLayoutSetUp(play);CHKERRQ(ierr); 173 } else { 174 ierr = PetscObjectReference((PetscObject)fetidpmat_ctx->C);CHKERRQ(ierr); 175 ierr = MatGetLocalToGlobalMapping(fetidpmat_ctx->C,&l2gmap_p,NULL);CHKERRQ(ierr); 176 ierr = PetscObjectReference((PetscObject)l2gmap_p);CHKERRQ(ierr); 177 ierr = MatGetSize(fetidpmat_ctx->C,&nPg,NULL);CHKERRQ(ierr); 178 ierr = MatGetLocalSize(fetidpmat_ctx->C,NULL,&nPgl);CHKERRQ(ierr); 179 ierr = MatGetLayouts(fetidpmat_ctx->C,NULL,&llay);CHKERRQ(ierr); 180 ierr = PetscLayoutReference(llay,&play);CHKERRQ(ierr); 181 } 182 ierr = VecCreateMPIWithArray(comm,1,nPgl,nPg,NULL,&fetidpmat_ctx->xPg);CHKERRQ(ierr); 183 ierr = VecCreateMPIWithArray(comm,1,nPgl,nPg,NULL,&fetidpmat_ctx->yPg);CHKERRQ(ierr); 184 185 /* import matrices for interface pressures coupling */ 186 ierr = PetscObjectQuery((PetscObject)fetidpmat_ctx->pc,"__KSPFETIDP_B_BI",(PetscObject*)&fetidpmat_ctx->B_BI);CHKERRQ(ierr); 187 if (!fetidpmat_ctx->B_BI) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"B_BI not present"); 188 ierr = PetscObjectReference((PetscObject)fetidpmat_ctx->B_BI);CHKERRQ(ierr); 189 190 ierr = PetscObjectQuery((PetscObject)fetidpmat_ctx->pc,"__KSPFETIDP_B_BB",(PetscObject*)&fetidpmat_ctx->B_BB);CHKERRQ(ierr); 191 if (!fetidpmat_ctx->B_BB) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"B_BB not present"); 192 ierr = PetscObjectReference((PetscObject)fetidpmat_ctx->B_BB);CHKERRQ(ierr); 193 194 ierr = PetscObjectQuery((PetscObject)fetidpmat_ctx->pc,"__KSPFETIDP_Bt_BI",(PetscObject*)&fetidpmat_ctx->Bt_BI);CHKERRQ(ierr); 195 if (!fetidpmat_ctx->Bt_BI) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Bt_BI not present"); 196 ierr = PetscObjectReference((PetscObject)fetidpmat_ctx->Bt_BI);CHKERRQ(ierr); 197 198 ierr = PetscObjectQuery((PetscObject)fetidpmat_ctx->pc,"__KSPFETIDP_Bt_BB",(PetscObject*)&fetidpmat_ctx->Bt_BB);CHKERRQ(ierr); 199 if (!fetidpmat_ctx->Bt_BB) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Bt_BB not present"); 200 ierr = PetscObjectReference((PetscObject)fetidpmat_ctx->Bt_BB);CHKERRQ(ierr); 201 } 202 203 /* Default type of lagrange multipliers is non-redundant */ 204 fully_redundant = fetidpmat_ctx->fully_redundant; 205 206 /* Evaluate local and global number of lagrange multipliers */ 207 ierr = VecSet(pcis->vec1_N,0.0);CHKERRQ(ierr); 208 n_local_lambda = 0; 209 partial_sum = 0; 210 n_boundary_dofs = 0; 211 s = 0; 212 /* Get Vertices used to define the BDDC */ 213 n_vertices = pcbddc->n_vertices; 214 vertex_indices = pcbddc->local_primal_ref_node; 215 dual_size = pcis->n_B-n_vertices; 216 ierr = PetscMalloc1(dual_size,&dual_dofs_boundary_indices);CHKERRQ(ierr); 217 ierr = PetscMalloc1(dual_size,&aux_local_numbering_1);CHKERRQ(ierr); 218 ierr = PetscMalloc1(dual_size,&aux_local_numbering_2);CHKERRQ(ierr); 219 220 ierr = VecGetArray(pcis->vec1_N,&array);CHKERRQ(ierr); 221 for (i=0;i<pcis->n;i++){ 222 j = mat_graph->count[i]; /* RECALL: mat_graph->count[i] does not count myself */ 223 if ( j > 0 ) { 224 n_boundary_dofs++; 225 } 226 skip_node = PETSC_FALSE; 227 if ( s < n_vertices && vertex_indices[s]==i) { /* it works for a sorted set of vertices */ 228 skip_node = PETSC_TRUE; 229 s++; 230 } 231 if (j < 1) { 232 skip_node = PETSC_TRUE; 233 } 234 if ( !skip_node ) { 235 if (fully_redundant) { 236 /* fully redundant set of lagrange multipliers */ 237 n_lambda_for_dof = (j*(j+1))/2; 238 } else { 239 n_lambda_for_dof = j; 240 } 241 n_local_lambda += j; 242 /* needed to evaluate global number of lagrange multipliers */ 243 array[i]=(1.0*n_lambda_for_dof)/(j+1.0); /* already scaled for the next global sum */ 244 /* store some data needed */ 245 dual_dofs_boundary_indices[partial_sum] = n_boundary_dofs-1; 246 aux_local_numbering_1[partial_sum] = i; 247 aux_local_numbering_2[partial_sum] = n_lambda_for_dof; 248 partial_sum++; 249 } 250 } 251 ierr = VecRestoreArray(pcis->vec1_N,&array);CHKERRQ(ierr); 252 253 /* compute global ordering of lagrange multipliers and associate l2g map */ 254 ierr = ISCreateGeneral(comm,partial_sum,aux_local_numbering_1,PETSC_COPY_VALUES,&subset_n);CHKERRQ(ierr); 255 ierr = ISLocalToGlobalMappingApplyIS(pcis->mapping,subset_n,&subset);CHKERRQ(ierr); 256 ierr = ISDestroy(&subset_n);CHKERRQ(ierr); 257 ierr = ISCreateGeneral(comm,partial_sum,aux_local_numbering_2,PETSC_OWN_POINTER,&subset_mult);CHKERRQ(ierr); 258 ierr = ISRenumber(subset,subset_mult,&fetidpmat_ctx->n_lambda,&subset_n);CHKERRQ(ierr); 259 ierr = ISDestroy(&subset);CHKERRQ(ierr); 260 261 #if defined(PETSC_USE_DEBUG) 262 ierr = VecSet(pcis->vec1_global,0.0);CHKERRQ(ierr); 263 ierr = VecScatterBegin(matis->rctx,pcis->vec1_N,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 264 ierr = VecScatterEnd(matis->rctx,pcis->vec1_N,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 265 ierr = VecSum(pcis->vec1_global,&scalar_value);CHKERRQ(ierr); 266 i = (PetscInt)PetscRealPart(scalar_value); 267 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); 268 #endif 269 270 /* init data for scaling factors exchange */ 271 partial_sum = 0; 272 ierr = PetscMalloc1(pcis->n_neigh,&ptrs_buffer);CHKERRQ(ierr); 273 ierr = PetscMalloc1(PetscMax(pcis->n_neigh-1,0),&send_reqs);CHKERRQ(ierr); 274 ierr = PetscMalloc1(PetscMax(pcis->n_neigh-1,0),&recv_reqs);CHKERRQ(ierr); 275 ierr = PetscMalloc1(pcis->n,&all_factors);CHKERRQ(ierr); 276 if (pcis->n_neigh > 0) ptrs_buffer[0]=0; 277 for (i=1;i<pcis->n_neigh;i++) { 278 partial_sum += pcis->n_shared[i]; 279 ptrs_buffer[i] = ptrs_buffer[i-1]+pcis->n_shared[i]; 280 } 281 ierr = PetscMalloc1(partial_sum,&send_buffer);CHKERRQ(ierr); 282 ierr = PetscMalloc1(partial_sum,&recv_buffer);CHKERRQ(ierr); 283 ierr = PetscMalloc1(partial_sum,&all_factors[0]);CHKERRQ(ierr); 284 for (i=0;i<pcis->n-1;i++) { 285 j = mat_graph->count[i]; 286 all_factors[i+1]=all_factors[i]+j; 287 } 288 /* scatter B scaling to N vec */ 289 ierr = VecScatterBegin(pcis->N_to_B,pcis->D,pcis->vec1_N,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 290 ierr = VecScatterEnd(pcis->N_to_B,pcis->D,pcis->vec1_N,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 291 /* communications */ 292 ierr = VecGetArrayRead(pcis->vec1_N,(const PetscScalar**)&array);CHKERRQ(ierr); 293 for (i=1;i<pcis->n_neigh;i++) { 294 for (j=0;j<pcis->n_shared[i];j++) { 295 send_buffer[ptrs_buffer[i-1]+j]=array[pcis->shared[i][j]]; 296 } 297 ierr = PetscMPIIntCast(ptrs_buffer[i]-ptrs_buffer[i-1],&buf_size);CHKERRQ(ierr); 298 ierr = PetscMPIIntCast(pcis->neigh[i],&neigh);CHKERRQ(ierr); 299 ierr = MPI_Isend(&send_buffer[ptrs_buffer[i-1]],buf_size,MPIU_SCALAR,neigh,0,comm,&send_reqs[i-1]);CHKERRQ(ierr); 300 ierr = MPI_Irecv(&recv_buffer[ptrs_buffer[i-1]],buf_size,MPIU_SCALAR,neigh,0,comm,&recv_reqs[i-1]);CHKERRQ(ierr); 301 } 302 ierr = VecRestoreArrayRead(pcis->vec1_N,(const PetscScalar**)&array);CHKERRQ(ierr); 303 if (pcis->n_neigh > 0) { 304 ierr = MPI_Waitall(pcis->n_neigh-1,recv_reqs,MPI_STATUSES_IGNORE);CHKERRQ(ierr); 305 } 306 /* put values in correct places */ 307 for (i=1;i<pcis->n_neigh;i++) { 308 for (j=0;j<pcis->n_shared[i];j++) { 309 k = pcis->shared[i][j]; 310 neigh_position = 0; 311 while(mat_graph->neighbours_set[k][neigh_position] != pcis->neigh[i]) {neigh_position++;} 312 all_factors[k][neigh_position]=recv_buffer[ptrs_buffer[i-1]+j]; 313 } 314 } 315 if (pcis->n_neigh > 0) { 316 ierr = MPI_Waitall(pcis->n_neigh-1,send_reqs,MPI_STATUSES_IGNORE);CHKERRQ(ierr); 317 } 318 ierr = PetscFree(send_reqs);CHKERRQ(ierr); 319 ierr = PetscFree(recv_reqs);CHKERRQ(ierr); 320 ierr = PetscFree(send_buffer);CHKERRQ(ierr); 321 ierr = PetscFree(recv_buffer);CHKERRQ(ierr); 322 ierr = PetscFree(ptrs_buffer);CHKERRQ(ierr); 323 324 /* Compute B and B_delta (local actions) */ 325 ierr = PetscMalloc1(pcis->n_neigh,&aux_sums);CHKERRQ(ierr); 326 ierr = PetscMalloc1(n_local_lambda,&l2g_indices);CHKERRQ(ierr); 327 ierr = PetscMalloc1(n_local_lambda,&vals_B_delta);CHKERRQ(ierr); 328 ierr = PetscMalloc1(n_local_lambda,&cols_B_delta);CHKERRQ(ierr); 329 ierr = PetscMalloc1(n_local_lambda,&scaling_factors);CHKERRQ(ierr); 330 ierr = ISGetIndices(subset_n,&aux_global_numbering);CHKERRQ(ierr); 331 partial_sum=0; 332 cum = 0; 333 for (i=0;i<dual_size;i++) { 334 n_global_lambda = aux_global_numbering[cum]; 335 j = mat_graph->count[aux_local_numbering_1[i]]; 336 aux_sums[0]=0; 337 for (s=1;s<j;s++) { 338 aux_sums[s]=aux_sums[s-1]+j-s+1; 339 } 340 array = all_factors[aux_local_numbering_1[i]]; 341 n_neg_values = 0; 342 while(n_neg_values < j && mat_graph->neighbours_set[aux_local_numbering_1[i]][n_neg_values] < rank) {n_neg_values++;} 343 n_pos_values = j - n_neg_values; 344 if (fully_redundant) { 345 for (s=0;s<n_neg_values;s++) { 346 l2g_indices [partial_sum+s]=aux_sums[s]+n_neg_values-s-1+n_global_lambda; 347 cols_B_delta [partial_sum+s]=dual_dofs_boundary_indices[i]; 348 vals_B_delta [partial_sum+s]=-1.0; 349 scaling_factors[partial_sum+s]=array[s]; 350 } 351 for (s=0;s<n_pos_values;s++) { 352 l2g_indices [partial_sum+s+n_neg_values]=aux_sums[n_neg_values]+s+n_global_lambda; 353 cols_B_delta [partial_sum+s+n_neg_values]=dual_dofs_boundary_indices[i]; 354 vals_B_delta [partial_sum+s+n_neg_values]=1.0; 355 scaling_factors[partial_sum+s+n_neg_values]=array[s+n_neg_values]; 356 } 357 partial_sum += j; 358 } else { 359 /* l2g_indices and default cols and vals of B_delta */ 360 for (s=0;s<j;s++) { 361 l2g_indices [partial_sum+s]=n_global_lambda+s; 362 cols_B_delta [partial_sum+s]=dual_dofs_boundary_indices[i]; 363 vals_B_delta [partial_sum+s]=0.0; 364 } 365 /* B_delta */ 366 if ( n_neg_values > 0 ) { /* there's a rank next to me to the left */ 367 vals_B_delta [partial_sum+n_neg_values-1]=-1.0; 368 } 369 if ( n_neg_values < j ) { /* there's a rank next to me to the right */ 370 vals_B_delta [partial_sum+n_neg_values]=1.0; 371 } 372 /* scaling as in Klawonn-Widlund 1999*/ 373 for (s=0;s<n_neg_values;s++) { 374 scalar_value = 0.0; 375 for (k=0;k<s+1;k++) { 376 scalar_value += array[k]; 377 } 378 scaling_factors[partial_sum+s] = -scalar_value; 379 } 380 for (s=0;s<n_pos_values;s++) { 381 scalar_value = 0.0; 382 for (k=s+n_neg_values;k<j;k++) { 383 scalar_value += array[k]; 384 } 385 scaling_factors[partial_sum+s+n_neg_values] = scalar_value; 386 } 387 partial_sum += j; 388 } 389 cum += aux_local_numbering_2[i]; 390 } 391 ierr = ISRestoreIndices(subset_n,&aux_global_numbering);CHKERRQ(ierr); 392 ierr = ISDestroy(&subset_mult);CHKERRQ(ierr); 393 ierr = ISDestroy(&subset_n);CHKERRQ(ierr); 394 ierr = PetscFree(aux_sums);CHKERRQ(ierr); 395 ierr = PetscFree(aux_local_numbering_1);CHKERRQ(ierr); 396 ierr = PetscFree(dual_dofs_boundary_indices);CHKERRQ(ierr); 397 ierr = PetscFree(all_factors[0]);CHKERRQ(ierr); 398 ierr = PetscFree(all_factors);CHKERRQ(ierr); 399 400 /* Create local part of B_delta */ 401 ierr = MatCreate(PETSC_COMM_SELF,&fetidpmat_ctx->B_delta);CHKERRQ(ierr); 402 ierr = MatSetSizes(fetidpmat_ctx->B_delta,n_local_lambda,pcis->n_B,n_local_lambda,pcis->n_B);CHKERRQ(ierr); 403 ierr = MatSetType(fetidpmat_ctx->B_delta,MATSEQAIJ);CHKERRQ(ierr); 404 ierr = MatSeqAIJSetPreallocation(fetidpmat_ctx->B_delta,1,NULL);CHKERRQ(ierr); 405 ierr = MatSetOption(fetidpmat_ctx->B_delta,MAT_IGNORE_ZERO_ENTRIES,PETSC_TRUE);CHKERRQ(ierr); 406 for (i=0;i<n_local_lambda;i++) { 407 ierr = MatSetValue(fetidpmat_ctx->B_delta,i,cols_B_delta[i],vals_B_delta[i],INSERT_VALUES);CHKERRQ(ierr); 408 } 409 ierr = PetscFree(vals_B_delta);CHKERRQ(ierr); 410 ierr = MatAssemblyBegin(fetidpmat_ctx->B_delta,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 411 ierr = MatAssemblyEnd (fetidpmat_ctx->B_delta,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 412 413 if (fully_redundant) { 414 ierr = MatCreate(PETSC_COMM_SELF,&ScalingMat);CHKERRQ(ierr); 415 ierr = MatSetSizes(ScalingMat,n_local_lambda,n_local_lambda,n_local_lambda,n_local_lambda);CHKERRQ(ierr); 416 ierr = MatSetType(ScalingMat,MATSEQAIJ);CHKERRQ(ierr); 417 ierr = MatSeqAIJSetPreallocation(ScalingMat,1,NULL);CHKERRQ(ierr); 418 for (i=0;i<n_local_lambda;i++) { 419 ierr = MatSetValue(ScalingMat,i,i,scaling_factors[i],INSERT_VALUES);CHKERRQ(ierr); 420 } 421 ierr = MatAssemblyBegin(ScalingMat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 422 ierr = MatAssemblyEnd (ScalingMat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 423 ierr = MatMatMult(ScalingMat,fetidpmat_ctx->B_delta,MAT_INITIAL_MATRIX,PETSC_DEFAULT,&fetidpmat_ctx->B_Ddelta);CHKERRQ(ierr); 424 ierr = MatDestroy(&ScalingMat);CHKERRQ(ierr); 425 } else { 426 ierr = MatCreate(PETSC_COMM_SELF,&fetidpmat_ctx->B_Ddelta);CHKERRQ(ierr); 427 ierr = MatSetSizes(fetidpmat_ctx->B_Ddelta,n_local_lambda,pcis->n_B,n_local_lambda,pcis->n_B);CHKERRQ(ierr); 428 ierr = MatSetType(fetidpmat_ctx->B_Ddelta,MATSEQAIJ);CHKERRQ(ierr); 429 ierr = MatSeqAIJSetPreallocation(fetidpmat_ctx->B_Ddelta,1,NULL);CHKERRQ(ierr); 430 for (i=0;i<n_local_lambda;i++) { 431 ierr = MatSetValue(fetidpmat_ctx->B_Ddelta,i,cols_B_delta[i],scaling_factors[i],INSERT_VALUES);CHKERRQ(ierr); 432 } 433 ierr = MatAssemblyBegin(fetidpmat_ctx->B_Ddelta,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 434 ierr = MatAssemblyEnd (fetidpmat_ctx->B_Ddelta,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 435 } 436 ierr = PetscFree(scaling_factors);CHKERRQ(ierr); 437 ierr = PetscFree(cols_B_delta);CHKERRQ(ierr); 438 439 /* Layout of multipliers */ 440 ierr = PetscLayoutCreate(comm,&llay);CHKERRQ(ierr); 441 ierr = PetscLayoutSetBlockSize(llay,1);CHKERRQ(ierr); 442 ierr = PetscLayoutSetSize(llay,fetidpmat_ctx->n_lambda);CHKERRQ(ierr); 443 ierr = PetscLayoutSetUp(llay);CHKERRQ(ierr); 444 ierr = PetscLayoutGetLocalSize(llay,&fetidpmat_ctx->n);CHKERRQ(ierr); 445 446 /* fetidpmat sizes */ 447 fetidpmat_ctx->n += nPgl; 448 fetidpmat_ctx->N = fetidpmat_ctx->n_lambda+nPg; 449 450 /* Local work vector of multipliers */ 451 ierr = VecCreate(PETSC_COMM_SELF,&fetidpmat_ctx->lambda_local);CHKERRQ(ierr); 452 ierr = VecSetSizes(fetidpmat_ctx->lambda_local,n_local_lambda,n_local_lambda);CHKERRQ(ierr); 453 ierr = VecSetType(fetidpmat_ctx->lambda_local,VECSEQ);CHKERRQ(ierr); 454 455 /* Global vector for FETI-DP linear system */ 456 ierr = VecCreate(comm,&fetidp_global);CHKERRQ(ierr); 457 ierr = VecSetSizes(fetidp_global,fetidpmat_ctx->n,fetidpmat_ctx->N);CHKERRQ(ierr); 458 ierr = VecSetType(fetidp_global,VECMPI);CHKERRQ(ierr); 459 ierr = VecSetUp(fetidp_global);CHKERRQ(ierr); 460 461 /* Decide layout fetidp dofs if it is a saddle point problem 462 pressures ordered first in the local part of the global vector 463 of the FETI-DP linear system */ 464 if (nPg) { 465 Mat nA; 466 Vec ov; 467 IS IS_l2g_p,ais,AmgP; 468 PetscLayout alay; 469 const PetscInt *idxs,*pranges,*aranges,*lranges; 470 PetscInt *l2g_indices_p,rst,ren; 471 472 ierr = PetscMalloc1(nPl,&l2g_indices_p);CHKERRQ(ierr); 473 ierr = VecGetLayout(fetidp_global,&alay);CHKERRQ(ierr); 474 ierr = PetscLayoutGetRanges(alay,&aranges);CHKERRQ(ierr); 475 ierr = PetscLayoutGetRanges(play,&pranges);CHKERRQ(ierr); 476 ierr = PetscLayoutGetRanges(llay,&lranges);CHKERRQ(ierr); 477 ierr = ISLocalToGlobalMappingGetIndices(l2gmap_p,&idxs);CHKERRQ(ierr); 478 for (i=0;i<nPl;i++) { 479 PetscInt owner; 480 481 ierr = PetscLayoutFindOwner(play,idxs[i],&owner);CHKERRQ(ierr); 482 l2g_indices_p[i] = idxs[i]-pranges[owner]+aranges[owner]; 483 } 484 ierr = ISLocalToGlobalMappingRestoreIndices(l2gmap_p,&idxs);CHKERRQ(ierr); 485 ierr = ISCreateGeneral(comm,nPl,l2g_indices_p,PETSC_OWN_POINTER,&IS_l2g_p);CHKERRQ(ierr); 486 /* local to global scatter for interface pressure */ 487 ierr = VecScatterCreate(fetidpmat_ctx->vP,NULL,fetidp_global,IS_l2g_p,&fetidpmat_ctx->l2g_p);CHKERRQ(ierr); 488 ierr = ISDestroy(&IS_l2g_p);CHKERRQ(ierr); 489 490 /* shift local to global scatter for multipliers */ 491 for (i=0;i<n_local_lambda;i++) { 492 PetscInt owner,ps; 493 494 ierr = PetscLayoutFindOwner(llay,l2g_indices[i],&owner);CHKERRQ(ierr); 495 ps = pranges[owner+1]-pranges[owner]; 496 l2g_indices[i] = l2g_indices[i]-lranges[owner]+aranges[owner]+ps; 497 } 498 499 /* compute additional scatters needed */ 500 ierr = PCGetOperators(fetidpmat_ctx->pc,&nA,NULL);CHKERRQ(ierr); 501 ierr = MatCreateVecs(nA,&fetidpmat_ctx->work,NULL);CHKERRQ(ierr); 502 ierr = MatCreateVecs(oA,&ov,NULL);CHKERRQ(ierr); 503 /* scatter from alldofs to alldofs \setminus interfacepressures */ 504 ierr = MatGetOwnershipRange(oA,&rst,&ren);CHKERRQ(ierr); 505 ierr = ISCreateStride(comm,ren-rst,rst,1,&ais);CHKERRQ(ierr); 506 ierr = ISDifference(ais,pP,&AmgP);CHKERRQ(ierr); 507 ierr = ISDestroy(&ais);CHKERRQ(ierr); 508 ierr = VecScatterCreate(ov,AmgP,fetidpmat_ctx->work,NULL,&fetidpmat_ctx->g2g);CHKERRQ(ierr); 509 ierr = ISDestroy(&AmgP);CHKERRQ(ierr); 510 /* scatter from alldofs to local interface pressures */ 511 ierr = VecScatterCreate(ov,gP,fetidpmat_ctx->vP,NULL,&fetidpmat_ctx->g2l_p);CHKERRQ(ierr); 512 ierr = VecDestroy(&ov);CHKERRQ(ierr); 513 } 514 ierr = PetscLayoutDestroy(&llay);CHKERRQ(ierr); 515 ierr = PetscLayoutDestroy(&play);CHKERRQ(ierr); 516 ierr = ISCreateGeneral(comm,n_local_lambda,l2g_indices,PETSC_OWN_POINTER,&IS_l2g_lambda);CHKERRQ(ierr); 517 /* scatter for multipliers */ 518 ierr = VecScatterCreate(fetidpmat_ctx->lambda_local,NULL,fetidp_global,IS_l2g_lambda,&fetidpmat_ctx->l2g_lambda);CHKERRQ(ierr); 519 ierr = ISDestroy(&IS_l2g_lambda);CHKERRQ(ierr); 520 ierr = ISLocalToGlobalMappingDestroy(&l2gmap_p);CHKERRQ(ierr); 521 522 /* Create some vectors needed by fetidp */ 523 ierr = VecDuplicate(pcis->vec1_B,&fetidpmat_ctx->temp_solution_B);CHKERRQ(ierr); 524 ierr = VecDuplicate(pcis->vec1_D,&fetidpmat_ctx->temp_solution_D);CHKERRQ(ierr); 525 526 test_fetidp = PETSC_FALSE; 527 ierr = PetscOptionsGetBool(NULL,NULL,"-fetidp_check",&test_fetidp,NULL);CHKERRQ(ierr); 528 529 if (test_fetidp && !pcbddc->use_deluxe_scaling) { 530 531 PetscReal real_value; 532 533 ierr = PetscViewerASCIIGetStdout(comm,&viewer);CHKERRQ(ierr); 534 ierr = PetscViewerASCIIPushSynchronized(viewer);CHKERRQ(ierr); 535 ierr = PetscViewerASCIIPrintf(viewer,"----------FETI_DP SIZES--------------\n");CHKERRQ(ierr); 536 ierr = PetscViewerASCIISynchronizedPrintf(viewer,"[%04d]: Sizes %D %D %D %D %D\n",rank,fetidpmat_ctx->n,fetidpmat_ctx->N,nPgl,nPg,nPl);CHKERRQ(ierr); 537 ierr = PetscViewerFlush(viewer);CHKERRQ(ierr); 538 ierr = PetscViewerASCIIPrintf(viewer,"----------FETI_DP TESTS--------------\n");CHKERRQ(ierr); 539 ierr = PetscViewerASCIIPrintf(viewer,"All tests should return zero!\n");CHKERRQ(ierr); 540 ierr = PetscViewerASCIIPrintf(viewer,"FETIDP MAT context in the ");CHKERRQ(ierr); 541 if (fully_redundant) { 542 ierr = PetscViewerASCIIPrintf(viewer,"fully redundant case for lagrange multipliers.\n");CHKERRQ(ierr); 543 } else { 544 ierr = PetscViewerASCIIPrintf(viewer,"Non-fully redundant case for lagrange multiplier.\n");CHKERRQ(ierr); 545 } 546 ierr = PetscViewerFlush(viewer);CHKERRQ(ierr); 547 548 /******************************************************************/ 549 /* TEST A/B: Test numbering of global lambda dofs */ 550 /******************************************************************/ 551 552 ierr = VecDuplicate(fetidpmat_ctx->lambda_local,&test_vec);CHKERRQ(ierr); 553 ierr = VecSet(fetidp_global,1.0);CHKERRQ(ierr); 554 ierr = VecSet(test_vec,1.0);CHKERRQ(ierr); 555 ierr = VecScatterBegin(fetidpmat_ctx->l2g_lambda,fetidp_global,fetidpmat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 556 ierr = VecScatterEnd (fetidpmat_ctx->l2g_lambda,fetidp_global,fetidpmat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 557 scalar_value = -1.0; 558 ierr = VecAXPY(test_vec,scalar_value,fetidpmat_ctx->lambda_local);CHKERRQ(ierr); 559 ierr = VecNorm(test_vec,NORM_INFINITY,&real_value);CHKERRQ(ierr); 560 ierr = VecDestroy(&test_vec);CHKERRQ(ierr); 561 ierr = PetscViewerASCIISynchronizedPrintf(viewer,"A[%04d]: CHECK glob to loc: % 1.14e\n",rank,real_value);CHKERRQ(ierr); 562 ierr = PetscViewerFlush(viewer);CHKERRQ(ierr); 563 if (fully_redundant) { 564 ierr = VecSet(fetidp_global,0.0);CHKERRQ(ierr); 565 ierr = VecSet(fetidpmat_ctx->lambda_local,0.5);CHKERRQ(ierr); 566 ierr = VecScatterBegin(fetidpmat_ctx->l2g_lambda,fetidpmat_ctx->lambda_local,fetidp_global,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 567 ierr = VecScatterEnd (fetidpmat_ctx->l2g_lambda,fetidpmat_ctx->lambda_local,fetidp_global,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 568 ierr = VecSum(fetidp_global,&scalar_value);CHKERRQ(ierr); 569 ierr = PetscViewerASCIISynchronizedPrintf(viewer,"B[%04d]: CHECK loc to glob: % 1.14e\n",rank,PetscRealPart(scalar_value)-fetidpmat_ctx->n_lambda);CHKERRQ(ierr); 570 ierr = PetscViewerFlush(viewer);CHKERRQ(ierr); 571 } 572 573 /******************************************************************/ 574 /* TEST C: It should holds B_delta*w=0, w\in\widehat{W} */ 575 /* This is the meaning of the B matrix */ 576 /******************************************************************/ 577 578 ierr = VecSetRandom(pcis->vec1_N,NULL);CHKERRQ(ierr); 579 ierr = VecSet(pcis->vec1_global,0.0);CHKERRQ(ierr); 580 ierr = VecScatterBegin(matis->rctx,pcis->vec1_N,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 581 ierr = VecScatterEnd(matis->rctx,pcis->vec1_N,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 582 ierr = VecScatterBegin(matis->rctx,pcis->vec1_global,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 583 ierr = VecScatterEnd(matis->rctx,pcis->vec1_global,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 584 ierr = VecScatterBegin(pcis->N_to_B,pcis->vec1_N,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 585 ierr = VecScatterEnd (pcis->N_to_B,pcis->vec1_N,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 586 /* Action of B_delta */ 587 ierr = MatMult(fetidpmat_ctx->B_delta,pcis->vec1_B,fetidpmat_ctx->lambda_local);CHKERRQ(ierr); 588 ierr = VecSet(fetidp_global,0.0);CHKERRQ(ierr); 589 ierr = VecScatterBegin(fetidpmat_ctx->l2g_lambda,fetidpmat_ctx->lambda_local,fetidp_global,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 590 ierr = VecScatterEnd (fetidpmat_ctx->l2g_lambda,fetidpmat_ctx->lambda_local,fetidp_global,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 591 ierr = VecNorm(fetidp_global,NORM_INFINITY,&real_value);CHKERRQ(ierr); 592 ierr = PetscViewerASCIIPrintf(viewer,"C[coll]: CHECK infty norm of B_delta*w (w continuous): % 1.14e\n",real_value);CHKERRQ(ierr); 593 ierr = PetscViewerFlush(viewer);CHKERRQ(ierr); 594 595 /******************************************************************/ 596 /* TEST D: It should holds E_Dw = w - P_Dw w\in\widetilde{W} */ 597 /* E_D = R_D^TR */ 598 /* P_D = B_{D,delta}^T B_{delta} */ 599 /* eq.44 Mandel Tezaur and Dohrmann 2005 */ 600 /******************************************************************/ 601 602 /* compute a random vector in \widetilde{W} */ 603 ierr = VecSetRandom(pcis->vec1_N,NULL);CHKERRQ(ierr); 604 scalar_value = 0.0; /* set zero at vertices */ 605 ierr = VecGetArray(pcis->vec1_N,&array);CHKERRQ(ierr); 606 for (i=0;i<n_vertices;i++) { array[vertex_indices[i]]=scalar_value; } 607 ierr = VecRestoreArray(pcis->vec1_N,&array);CHKERRQ(ierr); 608 /* store w for final comparison */ 609 ierr = VecDuplicate(pcis->vec1_B,&test_vec);CHKERRQ(ierr); 610 ierr = VecScatterBegin(pcis->N_to_B,pcis->vec1_N,test_vec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 611 ierr = VecScatterEnd (pcis->N_to_B,pcis->vec1_N,test_vec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 612 613 /* Jump operator P_D : results stored in pcis->vec1_B */ 614 615 ierr = VecScatterBegin(pcis->N_to_B,pcis->vec1_N,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 616 ierr = VecScatterEnd (pcis->N_to_B,pcis->vec1_N,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 617 /* Action of B_delta */ 618 ierr = MatMult(fetidpmat_ctx->B_delta,pcis->vec1_B,fetidpmat_ctx->lambda_local);CHKERRQ(ierr); 619 ierr = VecSet(fetidp_global,0.0);CHKERRQ(ierr); 620 ierr = VecScatterBegin(fetidpmat_ctx->l2g_lambda,fetidpmat_ctx->lambda_local,fetidp_global,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 621 ierr = VecScatterEnd (fetidpmat_ctx->l2g_lambda,fetidpmat_ctx->lambda_local,fetidp_global,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 622 /* Action of B_Ddelta^T */ 623 ierr = VecScatterBegin(fetidpmat_ctx->l2g_lambda,fetidp_global,fetidpmat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 624 ierr = VecScatterEnd (fetidpmat_ctx->l2g_lambda,fetidp_global,fetidpmat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 625 ierr = MatMultTranspose(fetidpmat_ctx->B_Ddelta,fetidpmat_ctx->lambda_local,pcis->vec1_B);CHKERRQ(ierr); 626 627 /* Average operator E_D : results stored in pcis->vec2_B */ 628 ierr = VecScatterBegin(pcis->N_to_B,pcis->vec1_N,pcis->vec2_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 629 ierr = VecScatterEnd (pcis->N_to_B,pcis->vec1_N,pcis->vec2_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 630 ierr = PCBDDCScalingExtension(fetidpmat_ctx->pc,pcis->vec2_B,pcis->vec1_global);CHKERRQ(ierr); 631 ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_global,pcis->vec2_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 632 ierr = VecScatterEnd (pcis->global_to_B,pcis->vec1_global,pcis->vec2_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 633 634 /* test E_D=I-P_D */ 635 scalar_value = 1.0; 636 ierr = VecAXPY(pcis->vec1_B,scalar_value,pcis->vec2_B);CHKERRQ(ierr); 637 scalar_value = -1.0; 638 ierr = VecAXPY(pcis->vec1_B,scalar_value,test_vec);CHKERRQ(ierr); 639 ierr = VecNorm(pcis->vec1_B,NORM_INFINITY,&real_value);CHKERRQ(ierr); 640 ierr = VecDestroy(&test_vec);CHKERRQ(ierr); 641 ierr = PetscViewerASCIISynchronizedPrintf(viewer,"D[%04d] CHECK infty norm of E_D + P_D - I: % 1.14e\n",rank,real_value);CHKERRQ(ierr); 642 ierr = PetscViewerFlush(viewer);CHKERRQ(ierr); 643 644 /******************************************************************/ 645 /* TEST E: It should holds R_D^TP_Dw=0 w\in\widetilde{W} */ 646 /* eq.48 Mandel Tezaur and Dohrmann 2005 */ 647 /******************************************************************/ 648 649 ierr = VecSetRandom(pcis->vec1_N,NULL);CHKERRQ(ierr); 650 ierr = VecGetArray(pcis->vec1_N,&array);CHKERRQ(ierr); 651 scalar_value = 0.0; /* set zero at vertices */ 652 for (i=0;i<n_vertices;i++) { array[vertex_indices[i]]=scalar_value; } 653 ierr = VecRestoreArray(pcis->vec1_N,&array);CHKERRQ(ierr); 654 655 /* Jump operator P_D : results stored in pcis->vec1_B */ 656 657 ierr = VecScatterBegin(pcis->N_to_B,pcis->vec1_N,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 658 ierr = VecScatterEnd (pcis->N_to_B,pcis->vec1_N,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 659 /* Action of B_delta */ 660 ierr = MatMult(fetidpmat_ctx->B_delta,pcis->vec1_B,fetidpmat_ctx->lambda_local);CHKERRQ(ierr); 661 ierr = VecSet(fetidp_global,0.0);CHKERRQ(ierr); 662 ierr = VecScatterBegin(fetidpmat_ctx->l2g_lambda,fetidpmat_ctx->lambda_local,fetidp_global,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 663 ierr = VecScatterEnd (fetidpmat_ctx->l2g_lambda,fetidpmat_ctx->lambda_local,fetidp_global,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 664 /* Action of B_Ddelta^T */ 665 ierr = VecScatterBegin(fetidpmat_ctx->l2g_lambda,fetidp_global,fetidpmat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 666 ierr = VecScatterEnd (fetidpmat_ctx->l2g_lambda,fetidp_global,fetidpmat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 667 ierr = MatMultTranspose(fetidpmat_ctx->B_Ddelta,fetidpmat_ctx->lambda_local,pcis->vec1_B);CHKERRQ(ierr); 668 /* scaling */ 669 ierr = PCBDDCScalingExtension(fetidpmat_ctx->pc,pcis->vec1_B,pcis->vec1_global);CHKERRQ(ierr); 670 ierr = VecNorm(pcis->vec1_global,NORM_INFINITY,&real_value);CHKERRQ(ierr); 671 ierr = PetscViewerASCIIPrintf(viewer,"E[coll]: CHECK infty norm of R^T_D P_D: % 1.14e\n",real_value);CHKERRQ(ierr); 672 ierr = PetscViewerFlush(viewer);CHKERRQ(ierr); 673 674 if (!fully_redundant) { 675 /******************************************************************/ 676 /* TEST F: It should holds B_{delta}B^T_{D,delta}=I */ 677 /* Corollary thm 14 Mandel Tezaur and Dohrmann 2005 */ 678 /******************************************************************/ 679 ierr = VecDuplicate(fetidp_global,&test_vec);CHKERRQ(ierr); 680 ierr = VecSetRandom(fetidp_global,NULL);CHKERRQ(ierr); 681 if (fetidpmat_ctx->l2g_p) { 682 ierr = VecSet(fetidpmat_ctx->vP,0.);CHKERRQ(ierr); 683 ierr = VecScatterBegin(fetidpmat_ctx->l2g_p,fetidpmat_ctx->vP,fetidp_global,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 684 ierr = VecScatterEnd(fetidpmat_ctx->l2g_p,fetidpmat_ctx->vP,fetidp_global,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 685 } 686 /* Action of B_Ddelta^T */ 687 ierr = VecScatterBegin(fetidpmat_ctx->l2g_lambda,fetidp_global,fetidpmat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 688 ierr = VecScatterEnd (fetidpmat_ctx->l2g_lambda,fetidp_global,fetidpmat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 689 ierr = MatMultTranspose(fetidpmat_ctx->B_Ddelta,fetidpmat_ctx->lambda_local,pcis->vec1_B);CHKERRQ(ierr); 690 /* Action of B_delta */ 691 ierr = MatMult(fetidpmat_ctx->B_delta,pcis->vec1_B,fetidpmat_ctx->lambda_local);CHKERRQ(ierr); 692 ierr = VecSet(test_vec,0.0);CHKERRQ(ierr); 693 ierr = VecScatterBegin(fetidpmat_ctx->l2g_lambda,fetidpmat_ctx->lambda_local,test_vec,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 694 ierr = VecScatterEnd (fetidpmat_ctx->l2g_lambda,fetidpmat_ctx->lambda_local,test_vec,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 695 scalar_value = -1.0; 696 ierr = VecAXPY(fetidp_global,scalar_value,test_vec);CHKERRQ(ierr); 697 ierr = VecNorm(fetidp_global,NORM_INFINITY,&real_value);CHKERRQ(ierr); 698 ierr = PetscViewerASCIIPrintf(viewer,"E[coll]: CHECK infty norm of P^T_D - I: % 1.14e\n",real_value);CHKERRQ(ierr); 699 ierr = PetscViewerFlush(viewer);CHKERRQ(ierr); 700 ierr = PetscViewerFlush(viewer);CHKERRQ(ierr); 701 ierr = VecDestroy(&test_vec);CHKERRQ(ierr); 702 } 703 } 704 /* final cleanup */ 705 ierr = VecDestroy(&fetidp_global);CHKERRQ(ierr); 706 PetscFunctionReturn(0); 707 } 708 709 #undef __FUNCT__ 710 #define __FUNCT__ "PCBDDCSetupFETIDPPCContext" 711 PetscErrorCode PCBDDCSetupFETIDPPCContext(Mat fetimat, FETIDPPC_ctx fetidppc_ctx) 712 { 713 FETIDPMat_ctx mat_ctx; 714 PC_IS *pcis; 715 PetscBool lumped = PETSC_FALSE; 716 PetscErrorCode ierr; 717 718 PetscFunctionBegin; 719 ierr = MatShellGetContext(fetimat,(void**)&mat_ctx);CHKERRQ(ierr); 720 /* get references from objects created when setting up feti mat context */ 721 ierr = PetscObjectReference((PetscObject)mat_ctx->lambda_local);CHKERRQ(ierr); 722 fetidppc_ctx->lambda_local = mat_ctx->lambda_local; 723 ierr = PetscObjectReference((PetscObject)mat_ctx->B_Ddelta);CHKERRQ(ierr); 724 fetidppc_ctx->B_Ddelta = mat_ctx->B_Ddelta; 725 ierr = PetscObjectReference((PetscObject)mat_ctx->l2g_lambda);CHKERRQ(ierr); 726 fetidppc_ctx->l2g_lambda = mat_ctx->l2g_lambda; 727 /* create preconditioner */ 728 pcis = (PC_IS*)fetidppc_ctx->pc->data; 729 /* Dirichlet preconditioner */ 730 ierr = PetscOptionsGetBool(NULL,NULL,"-fetidp_lumped",&lumped,NULL);CHKERRQ(ierr); 731 if (!lumped) { 732 ierr = MatCreateSchurComplement(pcis->A_II,pcis->A_II,pcis->A_IB,pcis->A_BI,pcis->A_BB,&fetidppc_ctx->S_j);CHKERRQ(ierr); 733 ierr = MatSchurComplementSetKSP(fetidppc_ctx->S_j,pcis->ksp_D);CHKERRQ(ierr); 734 } else { 735 ierr = PetscObjectReference((PetscObject)pcis->A_BB);CHKERRQ(ierr); 736 fetidppc_ctx->S_j = pcis->A_BB; 737 } 738 PetscFunctionReturn(0); 739 } 740 741 #undef __FUNCT__ 742 #define __FUNCT__ "FETIDPMatMult" 743 PetscErrorCode FETIDPMatMult(Mat fetimat, Vec x, Vec y) 744 { 745 FETIDPMat_ctx mat_ctx; 746 PC_BDDC *pcbddc; 747 PC_IS *pcis; 748 PetscErrorCode ierr; 749 750 PetscFunctionBegin; 751 ierr = MatShellGetContext(fetimat,(void**)&mat_ctx);CHKERRQ(ierr); 752 pcis = (PC_IS*)mat_ctx->pc->data; 753 pcbddc = (PC_BDDC*)mat_ctx->pc->data; 754 /* Application of B_delta^T */ 755 ierr = VecScatterBegin(mat_ctx->l2g_lambda,x,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 756 ierr = VecScatterEnd(mat_ctx->l2g_lambda,x,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 757 ierr = MatMultTranspose(mat_ctx->B_delta,mat_ctx->lambda_local,pcis->vec1_B);CHKERRQ(ierr); 758 /* Application of \widetilde{S}^-1 */ 759 ierr = VecSet(pcis->vec1_D,0.0);CHKERRQ(ierr); 760 ierr = PetscMemzero(pcbddc->benign_p0,pcbddc->benign_n*sizeof(PetscScalar));CHKERRQ(ierr); 761 ierr = PCBDDCApplyInterfacePreconditioner(mat_ctx->pc,PETSC_FALSE);CHKERRQ(ierr); 762 ierr = PetscMemzero(pcbddc->benign_p0,pcbddc->benign_n*sizeof(PetscScalar));CHKERRQ(ierr); 763 /* Application of B_delta */ 764 ierr = MatMult(mat_ctx->B_delta,pcis->vec1_B,mat_ctx->lambda_local);CHKERRQ(ierr); 765 ierr = VecSet(y,0.0);CHKERRQ(ierr); 766 ierr = VecScatterBegin(mat_ctx->l2g_lambda,mat_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 767 ierr = VecScatterEnd(mat_ctx->l2g_lambda,mat_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 768 PetscFunctionReturn(0); 769 } 770 771 #undef __FUNCT__ 772 #define __FUNCT__ "FETIDPMatMultTranspose" 773 PetscErrorCode FETIDPMatMultTranspose(Mat fetimat, Vec x, Vec y) 774 { 775 FETIDPMat_ctx mat_ctx; 776 PC_IS *pcis; 777 PetscErrorCode ierr; 778 779 PetscFunctionBegin; 780 ierr = MatShellGetContext(fetimat,(void**)&mat_ctx);CHKERRQ(ierr); 781 pcis = (PC_IS*)mat_ctx->pc->data; 782 /* Application of B_delta^T */ 783 ierr = VecScatterBegin(mat_ctx->l2g_lambda,x,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 784 ierr = VecScatterEnd(mat_ctx->l2g_lambda,x,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 785 ierr = MatMultTranspose(mat_ctx->B_delta,mat_ctx->lambda_local,pcis->vec1_B);CHKERRQ(ierr); 786 /* Application of \widetilde{S}^-1 */ 787 ierr = VecSet(pcis->vec1_D,0.0);CHKERRQ(ierr); 788 ierr = PCBDDCApplyInterfacePreconditioner(mat_ctx->pc,PETSC_TRUE);CHKERRQ(ierr); 789 /* Application of B_delta */ 790 ierr = MatMult(mat_ctx->B_delta,pcis->vec1_B,mat_ctx->lambda_local);CHKERRQ(ierr); 791 ierr = VecSet(y,0.0);CHKERRQ(ierr); 792 ierr = VecScatterBegin(mat_ctx->l2g_lambda,mat_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 793 ierr = VecScatterEnd(mat_ctx->l2g_lambda,mat_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 794 PetscFunctionReturn(0); 795 } 796 797 #undef __FUNCT__ 798 #define __FUNCT__ "FETIDPPCApply" 799 PetscErrorCode FETIDPPCApply(PC fetipc, Vec x, Vec y) 800 { 801 FETIDPPC_ctx pc_ctx; 802 PC_IS *pcis; 803 PetscErrorCode ierr; 804 805 PetscFunctionBegin; 806 ierr = PCShellGetContext(fetipc,(void**)&pc_ctx);CHKERRQ(ierr); 807 pcis = (PC_IS*)pc_ctx->pc->data; 808 /* Application of B_Ddelta^T */ 809 ierr = VecScatterBegin(pc_ctx->l2g_lambda,x,pc_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 810 ierr = VecScatterEnd(pc_ctx->l2g_lambda,x,pc_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 811 ierr = VecSet(pcis->vec2_B,0.0);CHKERRQ(ierr); 812 ierr = MatMultTranspose(pc_ctx->B_Ddelta,pc_ctx->lambda_local,pcis->vec2_B);CHKERRQ(ierr); 813 /* Application of local Schur complement */ 814 ierr = MatMult(pc_ctx->S_j,pcis->vec2_B,pcis->vec1_B);CHKERRQ(ierr); 815 /* Application of B_Ddelta */ 816 ierr = MatMult(pc_ctx->B_Ddelta,pcis->vec1_B,pc_ctx->lambda_local);CHKERRQ(ierr); 817 ierr = VecSet(y,0.0);CHKERRQ(ierr); 818 ierr = VecScatterBegin(pc_ctx->l2g_lambda,pc_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 819 ierr = VecScatterEnd(pc_ctx->l2g_lambda,pc_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 820 PetscFunctionReturn(0); 821 } 822 823 #undef __FUNCT__ 824 #define __FUNCT__ "FETIDPPCApplyTranspose" 825 PetscErrorCode FETIDPPCApplyTranspose(PC fetipc, Vec x, Vec y) 826 { 827 FETIDPPC_ctx pc_ctx; 828 PC_IS *pcis; 829 PetscErrorCode ierr; 830 831 PetscFunctionBegin; 832 ierr = PCShellGetContext(fetipc,(void**)&pc_ctx);CHKERRQ(ierr); 833 pcis = (PC_IS*)pc_ctx->pc->data; 834 /* Application of B_Ddelta^T */ 835 ierr = VecScatterBegin(pc_ctx->l2g_lambda,x,pc_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 836 ierr = VecScatterEnd(pc_ctx->l2g_lambda,x,pc_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 837 ierr = VecSet(pcis->vec2_B,0.0);CHKERRQ(ierr); 838 ierr = MatMultTranspose(pc_ctx->B_Ddelta,pc_ctx->lambda_local,pcis->vec2_B);CHKERRQ(ierr); 839 /* Application of local Schur complement */ 840 ierr = MatMultTranspose(pc_ctx->S_j,pcis->vec2_B,pcis->vec1_B);CHKERRQ(ierr); 841 /* Application of B_Ddelta */ 842 ierr = MatMult(pc_ctx->B_Ddelta,pcis->vec1_B,pc_ctx->lambda_local);CHKERRQ(ierr); 843 ierr = VecSet(y,0.0);CHKERRQ(ierr); 844 ierr = VecScatterBegin(pc_ctx->l2g_lambda,pc_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 845 ierr = VecScatterEnd(pc_ctx->l2g_lambda,pc_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 846 PetscFunctionReturn(0); 847 } 848