Date: 2022-03-04T17:38:57+00:00

Actual source code: bddcfetidp.c

      1: #include <../src/ksp/pc/impls/bddc/bddc.h>
      2: #include <../src/ksp/pc/impls/bddc/bddcprivate.h>
      3: #include <petscblaslapack.h>

      5: static PetscErrorCode MatMult_BDdelta_deluxe_nonred(Mat A, Vec x, Vec y)
      6: {
      7:   BDdelta_DN     ctx;

     11:   MatShellGetContext(A,&ctx);
     12:   MatMultTranspose(ctx->BD,x,ctx->work);
     13:   KSPSolveTranspose(ctx->kBD,ctx->work,y);
     14:   /* No PC so cannot propagate up failure in KSPSolveTranspose() */
     15:   return(0);
     16: }

     18: static PetscErrorCode MatMultTranspose_BDdelta_deluxe_nonred(Mat A, Vec x, Vec y)
     19: {
     20:   BDdelta_DN     ctx;

     24:   MatShellGetContext(A,&ctx);
     25:   KSPSolve(ctx->kBD,x,ctx->work);
     26:   /* No PC so cannot propagate up failure in KSPSolve() */
     27:   MatMult(ctx->BD,ctx->work,y);
     28:   return(0);
     29: }

     31: static PetscErrorCode MatDestroy_BDdelta_deluxe_nonred(Mat A)
     32: {
     33:   BDdelta_DN     ctx;

     37:   MatShellGetContext(A,&ctx);
     38:   MatDestroy(&ctx->BD);
     39:   KSPDestroy(&ctx->kBD);
     40:   VecDestroy(&ctx->work);
     41:   PetscFree(ctx);
     42:   return(0);
     43: }

     45: PetscErrorCode PCBDDCCreateFETIDPMatContext(PC pc, FETIDPMat_ctx *fetidpmat_ctx)
     46: {
     47:   FETIDPMat_ctx  newctx;

     51:   PetscNew(&newctx);
     52:   /* increase the reference count for BDDC preconditioner */
     53:   PetscObjectReference((PetscObject)pc);
     54:   newctx->pc              = pc;
     55:   *fetidpmat_ctx          = newctx;
     56:   return(0);
     57: }

     59: PetscErrorCode PCBDDCCreateFETIDPPCContext(PC pc, FETIDPPC_ctx *fetidppc_ctx)
     60: {
     61:   FETIDPPC_ctx   newctx;

     65:   PetscNew(&newctx);
     66:   /* increase the reference count for BDDC preconditioner */
     67:   PetscObjectReference((PetscObject)pc);
     68:   newctx->pc              = pc;
     69:   *fetidppc_ctx           = newctx;
     70:   return(0);
     71: }

     73: PetscErrorCode PCBDDCDestroyFETIDPMat(Mat A)
     74: {
     75:   FETIDPMat_ctx  mat_ctx;

     79:   MatShellGetContext(A,&mat_ctx);
     80:   VecDestroy(&mat_ctx->lambda_local);
     81:   VecDestroy(&mat_ctx->temp_solution_D);
     82:   VecDestroy(&mat_ctx->temp_solution_B);
     83:   MatDestroy(&mat_ctx->B_delta);
     84:   MatDestroy(&mat_ctx->B_Ddelta);
     85:   MatDestroy(&mat_ctx->B_BB);
     86:   MatDestroy(&mat_ctx->B_BI);
     87:   MatDestroy(&mat_ctx->Bt_BB);
     88:   MatDestroy(&mat_ctx->Bt_BI);
     89:   MatDestroy(&mat_ctx->C);
     90:   VecDestroy(&mat_ctx->rhs_flip);
     91:   VecDestroy(&mat_ctx->vP);
     92:   VecDestroy(&mat_ctx->xPg);
     93:   VecDestroy(&mat_ctx->yPg);
     94:   VecScatterDestroy(&mat_ctx->l2g_lambda);
     95:   VecScatterDestroy(&mat_ctx->l2g_lambda_only);
     96:   VecScatterDestroy(&mat_ctx->l2g_p);
     97:   VecScatterDestroy(&mat_ctx->g2g_p);
     98:   PCDestroy(&mat_ctx->pc); /* decrease PCBDDC reference count */
     99:   ISDestroy(&mat_ctx->pressure);
    100:   ISDestroy(&mat_ctx->lagrange);
    101:   PetscFree(mat_ctx);
    102:   return(0);
    103: }

    105: PetscErrorCode PCBDDCDestroyFETIDPPC(PC pc)
    106: {
    107:   FETIDPPC_ctx   pc_ctx;

    111:   PCShellGetContext(pc,&pc_ctx);
    112:   VecDestroy(&pc_ctx->lambda_local);
    113:   MatDestroy(&pc_ctx->B_Ddelta);
    114:   VecScatterDestroy(&pc_ctx->l2g_lambda);
    115:   MatDestroy(&pc_ctx->S_j);
    116:   PCDestroy(&pc_ctx->pc); /* decrease PCBDDC reference count */
    117:   VecDestroy(&pc_ctx->xPg);
    118:   VecDestroy(&pc_ctx->yPg);
    119:   PetscFree(pc_ctx);
    120:   return(0);
    121: }

    123: PetscErrorCode PCBDDCSetupFETIDPMatContext(FETIDPMat_ctx fetidpmat_ctx)
    124: {
    126:   PC_IS          *pcis=(PC_IS*)fetidpmat_ctx->pc->data;
    127:   PC_BDDC        *pcbddc=(PC_BDDC*)fetidpmat_ctx->pc->data;
    128:   PCBDDCGraph    mat_graph=pcbddc->mat_graph;
    129:   Mat_IS         *matis  = (Mat_IS*)fetidpmat_ctx->pc->pmat->data;
    130:   MPI_Comm       comm;
    131:   Mat            ScalingMat,BD1,BD2;
    132:   Vec            fetidp_global;
    133:   IS             IS_l2g_lambda;
    134:   IS             subset,subset_mult,subset_n,isvert;
    135:   PetscBool      skip_node,fully_redundant;
    136:   PetscInt       i,j,k,s,n_boundary_dofs,n_global_lambda,n_vertices,partial_sum;
    137:   PetscInt       cum,n_local_lambda,n_lambda_for_dof,dual_size,n_neg_values,n_pos_values;
    138:   PetscMPIInt    rank,size,buf_size,neigh;
    139:   PetscScalar    scalar_value;
    140:   const PetscInt *vertex_indices;
    141:   PetscInt       *dual_dofs_boundary_indices,*aux_local_numbering_1;
    142:   const PetscInt *aux_global_numbering;
    143:   PetscInt       *aux_sums,*cols_B_delta,*l2g_indices;
    144:   PetscScalar    *array,*scaling_factors,*vals_B_delta;
    145:   PetscScalar    **all_factors;
    146:   PetscInt       *aux_local_numbering_2;
    147:   PetscLayout    llay;

    149:   /* saddlepoint */
    150:   ISLocalToGlobalMapping l2gmap_p;
    151:   PetscLayout            play;
    152:   IS                     gP,pP;
    153:   PetscInt               nPl,nPg,nPgl;

    156:   PetscObjectGetComm((PetscObject)(fetidpmat_ctx->pc),&comm);
    157:   MPI_Comm_rank(comm,&rank);
    158:   MPI_Comm_size(comm,&size);

    160:   /* saddlepoint */
    161:   nPl      = 0;
    162:   nPg      = 0;
    163:   nPgl     = 0;
    164:   gP       = NULL;
    165:   pP       = NULL;
    166:   l2gmap_p = NULL;
    167:   play     = NULL;
    168:   PetscObjectQuery((PetscObject)fetidpmat_ctx->pc,"__KSPFETIDP_pP",(PetscObject*)&pP);
    169:   if (pP) { /* saddle point */
    170:     /* subdomain pressures in global numbering */
    171:     PetscObjectQuery((PetscObject)fetidpmat_ctx->pc,"__KSPFETIDP_gP",(PetscObject*)&gP);
    172:     if (!gP) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"gP not present");
    173:     ISGetLocalSize(gP,&nPl);
    174:     VecCreate(PETSC_COMM_SELF,&fetidpmat_ctx->vP);
    175:     VecSetSizes(fetidpmat_ctx->vP,nPl,nPl);
    176:     VecSetType(fetidpmat_ctx->vP,VECSTANDARD);
    177:     VecSetUp(fetidpmat_ctx->vP);

    179:     /* pressure matrix */
    180:     PetscObjectQuery((PetscObject)fetidpmat_ctx->pc,"__KSPFETIDP_C",(PetscObject*)&fetidpmat_ctx->C);
    181:     if (!fetidpmat_ctx->C) { /* null pressure block, compute layout and global numbering for pressures */
    182:       IS Pg;

    184:       ISRenumber(gP,NULL,&nPg,&Pg);
    185:       ISLocalToGlobalMappingCreateIS(Pg,&l2gmap_p);
    186:       ISDestroy(&Pg);
    187:       PetscLayoutCreate(comm,&play);
    188:       PetscLayoutSetBlockSize(play,1);
    189:       PetscLayoutSetSize(play,nPg);
    190:       ISGetLocalSize(pP,&nPgl);
    191:       PetscLayoutSetLocalSize(play,nPgl);
    192:       PetscLayoutSetUp(play);
    193:     } else {
    194:       PetscObjectReference((PetscObject)fetidpmat_ctx->C);
    195:       MatGetLocalToGlobalMapping(fetidpmat_ctx->C,&l2gmap_p,NULL);
    196:       PetscObjectReference((PetscObject)l2gmap_p);
    197:       MatGetSize(fetidpmat_ctx->C,&nPg,NULL);
    198:       MatGetLocalSize(fetidpmat_ctx->C,NULL,&nPgl);
    199:       MatGetLayouts(fetidpmat_ctx->C,NULL,&llay);
    200:       PetscLayoutReference(llay,&play);
    201:     }
    202:     VecCreateMPIWithArray(comm,1,nPgl,nPg,NULL,&fetidpmat_ctx->xPg);
    203:     VecCreateMPIWithArray(comm,1,nPgl,nPg,NULL,&fetidpmat_ctx->yPg);

    205:     /* import matrices for pressures coupling */
    206:     PetscObjectQuery((PetscObject)fetidpmat_ctx->pc,"__KSPFETIDP_B_BI",(PetscObject*)&fetidpmat_ctx->B_BI);
    207:     if (!fetidpmat_ctx->B_BI) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"B_BI not present");
    208:     PetscObjectReference((PetscObject)fetidpmat_ctx->B_BI);

    210:     PetscObjectQuery((PetscObject)fetidpmat_ctx->pc,"__KSPFETIDP_B_BB",(PetscObject*)&fetidpmat_ctx->B_BB);
    211:     if (!fetidpmat_ctx->B_BB) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"B_BB not present");
    212:     PetscObjectReference((PetscObject)fetidpmat_ctx->B_BB);

    214:     PetscObjectQuery((PetscObject)fetidpmat_ctx->pc,"__KSPFETIDP_Bt_BI",(PetscObject*)&fetidpmat_ctx->Bt_BI);
    215:     if (!fetidpmat_ctx->Bt_BI) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Bt_BI not present");
    216:     PetscObjectReference((PetscObject)fetidpmat_ctx->Bt_BI);

    218:     PetscObjectQuery((PetscObject)fetidpmat_ctx->pc,"__KSPFETIDP_Bt_BB",(PetscObject*)&fetidpmat_ctx->Bt_BB);
    219:     if (!fetidpmat_ctx->Bt_BB) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Bt_BB not present");
    220:     PetscObjectReference((PetscObject)fetidpmat_ctx->Bt_BB);

    222:     PetscObjectQuery((PetscObject)fetidpmat_ctx->pc,"__KSPFETIDP_flip" ,(PetscObject*)&fetidpmat_ctx->rhs_flip);
    223:     if (fetidpmat_ctx->rhs_flip) {
    224:       PetscObjectReference((PetscObject)fetidpmat_ctx->rhs_flip);
    225:     }
    226:   }

    228:   /* Default type of lagrange multipliers is non-redundant */
    229:   fully_redundant = fetidpmat_ctx->fully_redundant;

    231:   /* Evaluate local and global number of lagrange multipliers */
    232:   VecSet(pcis->vec1_N,0.0);
    233:   n_local_lambda = 0;
    234:   partial_sum = 0;
    235:   n_boundary_dofs = 0;
    236:   s = 0;

    238:   /* Get Vertices used to define the BDDC */
    239:   PCBDDCGraphGetCandidatesIS(pcbddc->mat_graph,NULL,NULL,NULL,NULL,&isvert);
    240:   ISGetLocalSize(isvert,&n_vertices);
    241:   ISGetIndices(isvert,&vertex_indices);

    243:   dual_size = pcis->n_B-n_vertices;
    244:   PetscMalloc1(dual_size,&dual_dofs_boundary_indices);
    245:   PetscMalloc1(dual_size,&aux_local_numbering_1);
    246:   PetscMalloc1(dual_size,&aux_local_numbering_2);

    248:   VecGetArray(pcis->vec1_N,&array);
    249:   for (i=0;i<pcis->n;i++) {
    250:     j = mat_graph->count[i]; /* RECALL: mat_graph->count[i] does not count myself */
    251:     if (j > 0) n_boundary_dofs++;
    252:     skip_node = PETSC_FALSE;
    253:     if (s < n_vertices && vertex_indices[s] == i) { /* it works for a sorted set of vertices */
    254:       skip_node = PETSC_TRUE;
    255:       s++;
    256:     }
    257:     if (j < 1) skip_node = PETSC_TRUE;
    258:     if (mat_graph->special_dof[i] == PCBDDCGRAPH_DIRICHLET_MARK) skip_node = PETSC_TRUE;
    259:     if (!skip_node) {
    260:       if (fully_redundant) {
    261:         /* fully redundant set of lagrange multipliers */
    262:         n_lambda_for_dof = (j*(j+1))/2;
    263:       } else {
    264:         n_lambda_for_dof = j;
    265:       }
    266:       n_local_lambda += j;
    267:       /* needed to evaluate global number of lagrange multipliers */
    268:       array[i]=(1.0*n_lambda_for_dof)/(j+1.0); /* already scaled for the next global sum */
    269:       /* store some data needed */
    270:       dual_dofs_boundary_indices[partial_sum] = n_boundary_dofs-1;
    271:       aux_local_numbering_1[partial_sum] = i;
    272:       aux_local_numbering_2[partial_sum] = n_lambda_for_dof;
    273:       partial_sum++;
    274:     }
    275:   }
    276:   VecRestoreArray(pcis->vec1_N,&array);
    277:   ISRestoreIndices(isvert,&vertex_indices);
    278:   PCBDDCGraphRestoreCandidatesIS(pcbddc->mat_graph,NULL,NULL,NULL,NULL,&isvert);
    279:   dual_size = partial_sum;

    281:   /* compute global ordering of lagrange multipliers and associate l2g map */
    282:   ISCreateGeneral(comm,partial_sum,aux_local_numbering_1,PETSC_COPY_VALUES,&subset_n);
    283:   ISLocalToGlobalMappingApplyIS(pcis->mapping,subset_n,&subset);
    284:   ISDestroy(&subset_n);
    285:   ISCreateGeneral(comm,partial_sum,aux_local_numbering_2,PETSC_OWN_POINTER,&subset_mult);
    286:   ISRenumber(subset,subset_mult,&fetidpmat_ctx->n_lambda,&subset_n);
    287:   ISDestroy(&subset);

    289:   if (PetscDefined(USE_DEBUG)) {
    290:     VecSet(pcis->vec1_global,0.0);
    291:     VecScatterBegin(matis->rctx,pcis->vec1_N,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);
    292:     VecScatterEnd(matis->rctx,pcis->vec1_N,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);
    293:     VecSum(pcis->vec1_global,&scalar_value);
    294:     i = (PetscInt)PetscRealPart(scalar_value);
    295:     if (i != fetidpmat_ctx->n_lambda) SETERRQ2(PETSC_COMM_WORLD,PETSC_ERR_PLIB,"Global number of multipliers mismatch! (%D != %D)",fetidpmat_ctx->n_lambda,i);
    296:   }

    298:   /* init data for scaling factors exchange */
    299:   if (!pcbddc->use_deluxe_scaling) {
    300:     PetscInt    *ptrs_buffer,neigh_position;
    301:     PetscScalar *send_buffer,*recv_buffer;
    302:     MPI_Request *send_reqs,*recv_reqs;

    304:     partial_sum = 0;
    305:     PetscMalloc1(pcis->n_neigh,&ptrs_buffer);
    306:     PetscMalloc1(PetscMax(pcis->n_neigh-1,0),&send_reqs);
    307:     PetscMalloc1(PetscMax(pcis->n_neigh-1,0),&recv_reqs);
    308:     PetscMalloc1(pcis->n+1,&all_factors);
    309:     if (pcis->n_neigh > 0) ptrs_buffer[0]=0;
    310:     for (i=1;i<pcis->n_neigh;i++) {
    311:       partial_sum += pcis->n_shared[i];
    312:       ptrs_buffer[i] = ptrs_buffer[i-1]+pcis->n_shared[i];
    313:     }
    314:     PetscMalloc1(partial_sum,&send_buffer);
    315:     PetscMalloc1(partial_sum,&recv_buffer);
    316:     PetscMalloc1(partial_sum,&all_factors[0]);
    317:     for (i=0;i<pcis->n-1;i++) {
    318:       j = mat_graph->count[i];
    319:       all_factors[i+1]=all_factors[i]+j;
    320:     }

    322:     /* scatter B scaling to N vec */
    323:     VecScatterBegin(pcis->N_to_B,pcis->D,pcis->vec1_N,INSERT_VALUES,SCATTER_REVERSE);
    324:     VecScatterEnd(pcis->N_to_B,pcis->D,pcis->vec1_N,INSERT_VALUES,SCATTER_REVERSE);
    325:     /* communications */
    326:     VecGetArrayRead(pcis->vec1_N,(const PetscScalar**)&array);
    327:     for (i=1;i<pcis->n_neigh;i++) {
    328:       for (j=0;j<pcis->n_shared[i];j++) {
    329:         send_buffer[ptrs_buffer[i-1]+j]=array[pcis->shared[i][j]];
    330:       }
    331:       PetscMPIIntCast(ptrs_buffer[i]-ptrs_buffer[i-1],&buf_size);
    332:       PetscMPIIntCast(pcis->neigh[i],&neigh);
    333:       MPI_Isend(&send_buffer[ptrs_buffer[i-1]],buf_size,MPIU_SCALAR,neigh,0,comm,&send_reqs[i-1]);
    334:       MPI_Irecv(&recv_buffer[ptrs_buffer[i-1]],buf_size,MPIU_SCALAR,neigh,0,comm,&recv_reqs[i-1]);
    335:     }
    336:     VecRestoreArrayRead(pcis->vec1_N,(const PetscScalar**)&array);
    337:     if (pcis->n_neigh > 0) {
    338:       MPI_Waitall(pcis->n_neigh-1,recv_reqs,MPI_STATUSES_IGNORE);
    339:     }
    340:     /* put values in correct places */
    341:     for (i=1;i<pcis->n_neigh;i++) {
    342:       for (j=0;j<pcis->n_shared[i];j++) {
    343:         k = pcis->shared[i][j];
    344:         neigh_position = 0;
    345:         while (mat_graph->neighbours_set[k][neigh_position] != pcis->neigh[i]) {neigh_position++;}
    346:         all_factors[k][neigh_position]=recv_buffer[ptrs_buffer[i-1]+j];
    347:       }
    348:     }
    349:     if (pcis->n_neigh > 0) {
    350:       MPI_Waitall(pcis->n_neigh-1,send_reqs,MPI_STATUSES_IGNORE);
    351:     }
    352:     PetscFree(send_reqs);
    353:     PetscFree(recv_reqs);
    354:     PetscFree(send_buffer);
    355:     PetscFree(recv_buffer);
    356:     PetscFree(ptrs_buffer);
    357:   }

    359:   /* Compute B and B_delta (local actions) */
    360:   PetscMalloc1(pcis->n_neigh,&aux_sums);
    361:   PetscMalloc1(n_local_lambda,&l2g_indices);
    362:   PetscMalloc1(n_local_lambda,&vals_B_delta);
    363:   PetscMalloc1(n_local_lambda,&cols_B_delta);
    364:   if (!pcbddc->use_deluxe_scaling) {
    365:     PetscMalloc1(n_local_lambda,&scaling_factors);
    366:   } else {
    367:     scaling_factors = NULL;
    368:     all_factors     = NULL;
    369:   }
    370:   ISGetIndices(subset_n,&aux_global_numbering);
    371:   partial_sum=0;
    372:   cum = 0;
    373:   for (i=0;i<dual_size;i++) {
    374:     n_global_lambda = aux_global_numbering[cum];
    375:     j = mat_graph->count[aux_local_numbering_1[i]];
    376:     aux_sums[0]=0;
    377:     for (s=1;s<j;s++) {
    378:       aux_sums[s]=aux_sums[s-1]+j-s+1;
    379:     }
    380:     if (all_factors) array = all_factors[aux_local_numbering_1[i]];
    381:     n_neg_values = 0;
    382:     while (n_neg_values < j && mat_graph->neighbours_set[aux_local_numbering_1[i]][n_neg_values] < rank) {n_neg_values++;}
    383:     n_pos_values = j - n_neg_values;
    384:     if (fully_redundant) {
    385:       for (s=0;s<n_neg_values;s++) {
    386:         l2g_indices    [partial_sum+s]=aux_sums[s]+n_neg_values-s-1+n_global_lambda;
    387:         cols_B_delta   [partial_sum+s]=dual_dofs_boundary_indices[i];
    388:         vals_B_delta   [partial_sum+s]=-1.0;
    389:         if (!pcbddc->use_deluxe_scaling) scaling_factors[partial_sum+s]=array[s];
    390:       }
    391:       for (s=0;s<n_pos_values;s++) {
    392:         l2g_indices    [partial_sum+s+n_neg_values]=aux_sums[n_neg_values]+s+n_global_lambda;
    393:         cols_B_delta   [partial_sum+s+n_neg_values]=dual_dofs_boundary_indices[i];
    394:         vals_B_delta   [partial_sum+s+n_neg_values]=1.0;
    395:         if (!pcbddc->use_deluxe_scaling) scaling_factors[partial_sum+s+n_neg_values]=array[s+n_neg_values];
    396:       }
    397:       partial_sum += j;
    398:     } else {
    399:       /* l2g_indices and default cols and vals of B_delta */
    400:       for (s=0;s<j;s++) {
    401:         l2g_indices    [partial_sum+s]=n_global_lambda+s;
    402:         cols_B_delta   [partial_sum+s]=dual_dofs_boundary_indices[i];
    403:         vals_B_delta   [partial_sum+s]=0.0;
    404:       }
    405:       /* B_delta */
    406:       if (n_neg_values > 0) { /* there's a rank next to me to the left */
    407:         vals_B_delta   [partial_sum+n_neg_values-1]=-1.0;
    408:       }
    409:       if (n_neg_values < j) { /* there's a rank next to me to the right */
    410:         vals_B_delta   [partial_sum+n_neg_values]=1.0;
    411:       }
    412:       /* scaling as in Klawonn-Widlund 1999 */
    413:       if (!pcbddc->use_deluxe_scaling) {
    414:         for (s=0;s<n_neg_values;s++) {
    415:           scalar_value = 0.0;
    416:           for (k=0;k<s+1;k++) scalar_value += array[k];
    417:           scaling_factors[partial_sum+s] = -scalar_value;
    418:         }
    419:         for (s=0;s<n_pos_values;s++) {
    420:           scalar_value = 0.0;
    421:           for (k=s+n_neg_values;k<j;k++) scalar_value += array[k];
    422:           scaling_factors[partial_sum+s+n_neg_values] = scalar_value;
    423:         }
    424:       }
    425:       partial_sum += j;
    426:     }
    427:     cum += aux_local_numbering_2[i];
    428:   }
    429:   ISRestoreIndices(subset_n,&aux_global_numbering);
    430:   ISDestroy(&subset_mult);
    431:   ISDestroy(&subset_n);
    432:   PetscFree(aux_sums);
    433:   PetscFree(aux_local_numbering_1);
    434:   PetscFree(dual_dofs_boundary_indices);
    435:   if (all_factors) {
    436:     PetscFree(all_factors[0]);
    437:     PetscFree(all_factors);
    438:   }

    440:   /* Create local part of B_delta */
    441:   MatCreate(PETSC_COMM_SELF,&fetidpmat_ctx->B_delta);
    442:   MatSetSizes(fetidpmat_ctx->B_delta,n_local_lambda,pcis->n_B,n_local_lambda,pcis->n_B);
    443:   MatSetType(fetidpmat_ctx->B_delta,MATSEQAIJ);
    444:   MatSeqAIJSetPreallocation(fetidpmat_ctx->B_delta,1,NULL);
    445:   MatSetOption(fetidpmat_ctx->B_delta,MAT_IGNORE_ZERO_ENTRIES,PETSC_TRUE);
    446:   for (i=0;i<n_local_lambda;i++) {
    447:     MatSetValue(fetidpmat_ctx->B_delta,i,cols_B_delta[i],vals_B_delta[i],INSERT_VALUES);
    448:   }
    449:   PetscFree(vals_B_delta);
    450:   MatAssemblyBegin(fetidpmat_ctx->B_delta,MAT_FINAL_ASSEMBLY);
    451:   MatAssemblyEnd(fetidpmat_ctx->B_delta,MAT_FINAL_ASSEMBLY);

    453:   BD1 = NULL;
    454:   BD2 = NULL;
    455:   if (fully_redundant) {
    456:     if (pcbddc->use_deluxe_scaling) SETERRQ(comm,PETSC_ERR_SUP,"Deluxe FETIDP with fully-redundant multipliers to be implemented");
    457:     MatCreate(PETSC_COMM_SELF,&ScalingMat);
    458:     MatSetSizes(ScalingMat,n_local_lambda,n_local_lambda,n_local_lambda,n_local_lambda);
    459:     MatSetType(ScalingMat,MATSEQAIJ);
    460:     MatSeqAIJSetPreallocation(ScalingMat,1,NULL);
    461:     for (i=0;i<n_local_lambda;i++) {
    462:       MatSetValue(ScalingMat,i,i,scaling_factors[i],INSERT_VALUES);
    463:     }
    464:     MatAssemblyBegin(ScalingMat,MAT_FINAL_ASSEMBLY);
    465:     MatAssemblyEnd(ScalingMat,MAT_FINAL_ASSEMBLY);
    466:     MatMatMult(ScalingMat,fetidpmat_ctx->B_delta,MAT_INITIAL_MATRIX,PETSC_DEFAULT,&fetidpmat_ctx->B_Ddelta);
    467:     MatDestroy(&ScalingMat);
    468:   } else {
    469:     MatCreate(PETSC_COMM_SELF,&fetidpmat_ctx->B_Ddelta);
    470:     MatSetSizes(fetidpmat_ctx->B_Ddelta,n_local_lambda,pcis->n_B,n_local_lambda,pcis->n_B);
    471:     if (!pcbddc->use_deluxe_scaling || !pcbddc->sub_schurs) {
    472:       MatSetType(fetidpmat_ctx->B_Ddelta,MATSEQAIJ);
    473:       MatSeqAIJSetPreallocation(fetidpmat_ctx->B_Ddelta,1,NULL);
    474:       for (i=0;i<n_local_lambda;i++) {
    475:         MatSetValue(fetidpmat_ctx->B_Ddelta,i,cols_B_delta[i],scaling_factors[i],INSERT_VALUES);
    476:       }
    477:       MatAssemblyBegin(fetidpmat_ctx->B_Ddelta,MAT_FINAL_ASSEMBLY);
    478:       MatAssemblyEnd(fetidpmat_ctx->B_Ddelta,MAT_FINAL_ASSEMBLY);
    479:     } else {
    480:       /* scaling as in Klawonn-Widlund 1999 */
    481:       PCBDDCDeluxeScaling deluxe_ctx = pcbddc->deluxe_ctx;
    482:       PCBDDCSubSchurs     sub_schurs = pcbddc->sub_schurs;
    483:       Mat                 T;
    484:       PetscScalar         *W,lwork,*Bwork;
    485:       const PetscInt      *idxs = NULL;
    486:       PetscInt            cum,mss,*nnz;
    487:       PetscBLASInt        *pivots,B_lwork,B_N,B_ierr;

    489:       if (!pcbddc->deluxe_singlemat) SETERRQ(comm,PETSC_ERR_USER,"Cannot compute B_Ddelta! rerun with -pc_bddc_deluxe_singlemat");
    490:       mss  = 0;
    491:       PetscCalloc1(pcis->n_B,&nnz);
    492:       if (sub_schurs->is_Ej_all) {
    493:         ISGetIndices(sub_schurs->is_Ej_all,&idxs);
    494:         for (i=0,cum=0;i<sub_schurs->n_subs;i++) {
    495:           PetscInt subset_size;

    497:           ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);
    498:           for (j=0;j<subset_size;j++) nnz[idxs[j+cum]] = subset_size;
    499:           mss  = PetscMax(mss,subset_size);
    500:           cum += subset_size;
    501:         }
    502:       }
    503:       MatCreate(PETSC_COMM_SELF,&T);
    504:       MatSetSizes(T,pcis->n_B,pcis->n_B,pcis->n_B,pcis->n_B);
    505:       MatSetType(T,MATSEQAIJ);
    506:       MatSeqAIJSetPreallocation(T,0,nnz);
    507:       PetscFree(nnz);

    509:       /* workspace allocation */
    510:       B_lwork = 0;
    511:       if (mss) {
    512:         PetscScalar dummy = 1;

    514:         B_lwork = -1;
    515:         PetscBLASIntCast(mss,&B_N);
    516:         PetscFPTrapPush(PETSC_FP_TRAP_OFF);
    517:         PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,&dummy,&B_N,&B_N,&lwork,&B_lwork,&B_ierr));
    518:         PetscFPTrapPop();
    519:         if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in query to GETRI Lapack routine %d",(int)B_ierr);
    520:         PetscBLASIntCast((PetscInt)PetscRealPart(lwork),&B_lwork);
    521:       }
    522:       PetscMalloc3(mss*mss,&W,mss,&pivots,B_lwork,&Bwork);

    524:       for (i=0,cum=0;i<sub_schurs->n_subs;i++) {
    525:         const PetscScalar *M;
    526:         PetscInt          subset_size;

    528:         ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);
    529:         PetscBLASIntCast(subset_size,&B_N);
    530:         MatDenseGetArrayRead(deluxe_ctx->seq_mat[i],&M);
    531:         PetscArraycpy(W,M,subset_size*subset_size);
    532:         MatDenseRestoreArrayRead(deluxe_ctx->seq_mat[i],&M);
    533:         PetscFPTrapPush(PETSC_FP_TRAP_OFF);
    534:         PetscStackCallBLAS("LAPACKgetrf",LAPACKgetrf_(&B_N,&B_N,W,&B_N,pivots,&B_ierr));
    535:         if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRF Lapack routine %d",(int)B_ierr);
    536:         PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,W,&B_N,pivots,Bwork,&B_lwork,&B_ierr));
    537:         if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRI Lapack routine %d",(int)B_ierr);
    538:         PetscFPTrapPop();
    539:         /* silent static analyzer */
    540:         if (!idxs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"IDXS not present");
    541:         MatSetValues(T,subset_size,idxs+cum,subset_size,idxs+cum,W,INSERT_VALUES);
    542:         cum += subset_size;
    543:       }
    544:       MatAssemblyBegin(T,MAT_FINAL_ASSEMBLY);
    545:       MatAssemblyEnd(T,MAT_FINAL_ASSEMBLY);
    546:       MatMatTransposeMult(T,fetidpmat_ctx->B_delta,MAT_INITIAL_MATRIX,PETSC_DEFAULT,&BD1);
    547:       MatMatMult(fetidpmat_ctx->B_delta,BD1,MAT_INITIAL_MATRIX,PETSC_DEFAULT,&BD2);
    548:       MatDestroy(&T);
    549:       PetscFree3(W,pivots,Bwork);
    550:       if (sub_schurs->is_Ej_all) {
    551:         ISRestoreIndices(sub_schurs->is_Ej_all,&idxs);
    552:       }
    553:     }
    554:   }
    555:   PetscFree(scaling_factors);
    556:   PetscFree(cols_B_delta);

    558:   /* Layout of multipliers */
    559:   PetscLayoutCreate(comm,&llay);
    560:   PetscLayoutSetBlockSize(llay,1);
    561:   PetscLayoutSetSize(llay,fetidpmat_ctx->n_lambda);
    562:   PetscLayoutSetUp(llay);
    563:   PetscLayoutGetLocalSize(llay,&fetidpmat_ctx->n);

    565:   /* Local work vector of multipliers */
    566:   VecCreate(PETSC_COMM_SELF,&fetidpmat_ctx->lambda_local);
    567:   VecSetSizes(fetidpmat_ctx->lambda_local,n_local_lambda,n_local_lambda);
    568:   VecSetType(fetidpmat_ctx->lambda_local,VECSEQ);

    570:   if (BD2) {
    571:     ISLocalToGlobalMapping l2g;
    572:     Mat                    T,TA,*pT;
    573:     IS                     is;
    574:     PetscInt               nl,N;
    575:     BDdelta_DN             ctx;

    577:     PetscLayoutGetLocalSize(llay,&nl);
    578:     PetscLayoutGetSize(llay,&N);
    579:     MatCreate(comm,&T);
    580:     MatSetSizes(T,nl,nl,N,N);
    581:     MatSetType(T,MATIS);
    582:     ISLocalToGlobalMappingCreate(comm,1,n_local_lambda,l2g_indices,PETSC_COPY_VALUES,&l2g);
    583:     MatSetLocalToGlobalMapping(T,l2g,l2g);
    584:     ISLocalToGlobalMappingDestroy(&l2g);
    585:     MatISSetLocalMat(T,BD2);
    586:     MatAssemblyBegin(T,MAT_FINAL_ASSEMBLY);
    587:     MatAssemblyEnd(T,MAT_FINAL_ASSEMBLY);
    588:     MatDestroy(&BD2);
    589:     MatConvert(T,MATAIJ,MAT_INITIAL_MATRIX,&TA);
    590:     MatDestroy(&T);
    591:     ISCreateGeneral(comm,n_local_lambda,l2g_indices,PETSC_USE_POINTER,&is);
    592:     MatCreateSubMatrices(TA,1,&is,&is,MAT_INITIAL_MATRIX,&pT);
    593:     MatDestroy(&TA);
    594:     ISDestroy(&is);
    595:     BD2  = pT[0];
    596:     PetscFree(pT);

    598:     /* B_Ddelta for non-redundant multipliers with deluxe scaling */
    599:     PetscNew(&ctx);
    600:     MatSetType(fetidpmat_ctx->B_Ddelta,MATSHELL);
    601:     MatShellSetContext(fetidpmat_ctx->B_Ddelta,ctx);
    602:     MatShellSetOperation(fetidpmat_ctx->B_Ddelta,MATOP_MULT,(void (*)(void))MatMult_BDdelta_deluxe_nonred);
    603:     MatShellSetOperation(fetidpmat_ctx->B_Ddelta,MATOP_MULT_TRANSPOSE,(void (*)(void))MatMultTranspose_BDdelta_deluxe_nonred);
    604:     MatShellSetOperation(fetidpmat_ctx->B_Ddelta,MATOP_DESTROY,(void (*)(void))MatDestroy_BDdelta_deluxe_nonred);
    605:     MatSetUp(fetidpmat_ctx->B_Ddelta);

    607:     PetscObjectReference((PetscObject)BD1);
    608:     ctx->BD = BD1;
    609:     KSPCreate(PETSC_COMM_SELF,&ctx->kBD);
    610:     KSPSetOperators(ctx->kBD,BD2,BD2);
    611:     VecDuplicate(fetidpmat_ctx->lambda_local,&ctx->work);
    612:     fetidpmat_ctx->deluxe_nonred = PETSC_TRUE;
    613:   }
    614:   MatDestroy(&BD1);
    615:   MatDestroy(&BD2);

    617:   /* fetidpmat sizes */
    618:   fetidpmat_ctx->n += nPgl;
    619:   fetidpmat_ctx->N  = fetidpmat_ctx->n_lambda+nPg;

    621:   /* Global vector for FETI-DP linear system */
    622:   VecCreate(comm,&fetidp_global);
    623:   VecSetSizes(fetidp_global,fetidpmat_ctx->n,fetidpmat_ctx->N);
    624:   VecSetType(fetidp_global,VECMPI);
    625:   VecSetUp(fetidp_global);

    627:   /* Decide layout for fetidp dofs: if it is a saddle point problem
    628:      pressure is ordered first in the local part of the global vector
    629:      of the FETI-DP linear system */
    630:   if (nPg) {
    631:     Vec            v;
    632:     IS             IS_l2g_p,ais;
    633:     PetscLayout    alay;
    634:     const PetscInt *idxs,*pranges,*aranges,*lranges;
    635:     PetscInt       *l2g_indices_p,rst;
    636:     PetscMPIInt    rank;

    638:     PetscMalloc1(nPl,&l2g_indices_p);
    639:     VecGetLayout(fetidp_global,&alay);
    640:     PetscLayoutGetRanges(alay,&aranges);
    641:     PetscLayoutGetRanges(play,&pranges);
    642:     PetscLayoutGetRanges(llay,&lranges);

    644:     MPI_Comm_rank(PetscObjectComm((PetscObject)fetidp_global),&rank);
    645:     ISCreateStride(PetscObjectComm((PetscObject)fetidp_global),pranges[rank+1]-pranges[rank],aranges[rank],1,&fetidpmat_ctx->pressure);
    646:     PetscObjectSetName((PetscObject)fetidpmat_ctx->pressure,"F_P");
    647:     ISCreateStride(PetscObjectComm((PetscObject)fetidp_global),lranges[rank+1]-lranges[rank],aranges[rank]+pranges[rank+1]-pranges[rank],1,&fetidpmat_ctx->lagrange);
    648:     PetscObjectSetName((PetscObject)fetidpmat_ctx->lagrange,"F_L");
    649:     ISLocalToGlobalMappingGetIndices(l2gmap_p,&idxs);
    650:     /* shift local to global indices for pressure */
    651:     for (i=0;i<nPl;i++) {
    652:       PetscMPIInt owner;

    654:       PetscLayoutFindOwner(play,idxs[i],&owner);
    655:       l2g_indices_p[i] = idxs[i]-pranges[owner]+aranges[owner];
    656:     }
    657:     ISLocalToGlobalMappingRestoreIndices(l2gmap_p,&idxs);
    658:     ISCreateGeneral(comm,nPl,l2g_indices_p,PETSC_OWN_POINTER,&IS_l2g_p);

    660:     /* local to global scatter for pressure */
    661:     VecScatterCreate(fetidpmat_ctx->vP,NULL,fetidp_global,IS_l2g_p,&fetidpmat_ctx->l2g_p);
    662:     ISDestroy(&IS_l2g_p);

    664:     /* scatter for lagrange multipliers only */
    665:     VecCreate(comm,&v);
    666:     VecSetType(v,VECSTANDARD);
    667:     VecSetLayout(v,llay);
    668:     VecSetUp(v);
    669:     ISCreateGeneral(comm,n_local_lambda,l2g_indices,PETSC_COPY_VALUES,&ais);
    670:     VecScatterCreate(fetidpmat_ctx->lambda_local,NULL,v,ais,&fetidpmat_ctx->l2g_lambda_only);
    671:     ISDestroy(&ais);
    672:     VecDestroy(&v);

    674:     /* shift local to global indices for multipliers */
    675:     for (i=0;i<n_local_lambda;i++) {
    676:       PetscInt    ps;
    677:       PetscMPIInt owner;

    679:       PetscLayoutFindOwner(llay,l2g_indices[i],&owner);
    680:       ps = pranges[owner+1]-pranges[owner];
    681:       l2g_indices[i] = l2g_indices[i]-lranges[owner]+aranges[owner]+ps;
    682:     }

    684:     /* scatter from alldofs to pressures global fetidp vector */
    685:     PetscLayoutGetRange(alay,&rst,NULL);
    686:     ISCreateStride(comm,nPgl,rst,1,&ais);
    687:     VecScatterCreate(pcis->vec1_global,pP,fetidp_global,ais,&fetidpmat_ctx->g2g_p);
    688:     ISDestroy(&ais);
    689:   }
    690:   PetscLayoutDestroy(&llay);
    691:   PetscLayoutDestroy(&play);
    692:   ISCreateGeneral(comm,n_local_lambda,l2g_indices,PETSC_OWN_POINTER,&IS_l2g_lambda);

    694:   /* scatter from local to global multipliers */
    695:   VecScatterCreate(fetidpmat_ctx->lambda_local,NULL,fetidp_global,IS_l2g_lambda,&fetidpmat_ctx->l2g_lambda);
    696:   ISDestroy(&IS_l2g_lambda);
    697:   ISLocalToGlobalMappingDestroy(&l2gmap_p);
    698:   VecDestroy(&fetidp_global);

    700:   /* Create some work vectors needed by fetidp */
    701:   VecDuplicate(pcis->vec1_B,&fetidpmat_ctx->temp_solution_B);
    702:   VecDuplicate(pcis->vec1_D,&fetidpmat_ctx->temp_solution_D);
    703:   return(0);
    704: }

    706: PetscErrorCode PCBDDCSetupFETIDPPCContext(Mat fetimat, FETIDPPC_ctx fetidppc_ctx)
    707: {
    708:   FETIDPMat_ctx  mat_ctx;
    709:   PC_BDDC        *pcbddc = (PC_BDDC*)fetidppc_ctx->pc->data;
    710:   PC_IS          *pcis = (PC_IS*)fetidppc_ctx->pc->data;
    711:   PetscBool      lumped = PETSC_FALSE;

    715:   MatShellGetContext(fetimat,&mat_ctx);
    716:   /* get references from objects created when setting up feti mat context */
    717:   PetscObjectReference((PetscObject)mat_ctx->lambda_local);
    718:   fetidppc_ctx->lambda_local = mat_ctx->lambda_local;
    719:   PetscObjectReference((PetscObject)mat_ctx->B_Ddelta);
    720:   fetidppc_ctx->B_Ddelta = mat_ctx->B_Ddelta;
    721:   if (mat_ctx->deluxe_nonred) {
    722:     PC               pc,mpc;
    723:     BDdelta_DN       ctx;
    724:     MatSolverType    solver;
    725:     const char       *prefix;

    727:     MatShellGetContext(mat_ctx->B_Ddelta,&ctx);
    728:     KSPSetType(ctx->kBD,KSPPREONLY);
    729:     KSPGetPC(ctx->kBD,&mpc);
    730:     KSPGetPC(pcbddc->ksp_D,&pc);
    731:     PCSetType(mpc,PCLU);
    732:     PCFactorGetMatSolverType(pc,(MatSolverType*)&solver);
    733:     if (solver) {
    734:       PCFactorSetMatSolverType(mpc,solver);
    735:     }
    736:     MatGetOptionsPrefix(fetimat,&prefix);
    737:     KSPSetOptionsPrefix(ctx->kBD,prefix);
    738:     KSPAppendOptionsPrefix(ctx->kBD,"bddelta_");
    739:     KSPSetFromOptions(ctx->kBD);
    740:   }

    742:   if (mat_ctx->l2g_lambda_only) {
    743:     PetscObjectReference((PetscObject)mat_ctx->l2g_lambda_only);
    744:     fetidppc_ctx->l2g_lambda = mat_ctx->l2g_lambda_only;
    745:   } else {
    746:     PetscObjectReference((PetscObject)mat_ctx->l2g_lambda);
    747:     fetidppc_ctx->l2g_lambda = mat_ctx->l2g_lambda;
    748:   }
    749:   /* Dirichlet preconditioner */
    750:   PetscOptionsGetBool(NULL,((PetscObject)fetimat)->prefix,"-pc_lumped",&lumped,NULL);
    751:   if (!lumped) {
    752:     IS        iV;
    753:     PetscBool discrete_harmonic = PETSC_FALSE;

    755:     PetscObjectQuery((PetscObject)fetidppc_ctx->pc,"__KSPFETIDP_iV",(PetscObject*)&iV);
    756:     if (iV) {
    757:       PetscOptionsGetBool(NULL,((PetscObject)fetimat)->prefix,"-pc_discrete_harmonic",&discrete_harmonic,NULL);
    758:     }
    759:     if (discrete_harmonic) {
    760:       KSP             sksp;
    761:       PC              pc;
    762:       PCBDDCSubSchurs sub_schurs = pcbddc->sub_schurs;
    763:       Mat             A_II,A_IB,A_BI;
    764:       IS              iP = NULL;
    765:       PetscBool       isshell,reuse = PETSC_FALSE;
    766:       KSPType         ksptype;
    767:       const char      *prefix;

    769:       /*
    770:         We constructs a Schur complement for

    772:         | A_II A_ID |
    773:         | A_DI A_DD |

    775:         instead of

    777:         | A_II  B^t_II A_ID |
    778:         | B_II -C_II   B_ID |
    779:         | A_DI  B^t_ID A_DD |

    781:       */
    782:       if (sub_schurs && sub_schurs->reuse_solver) {
    783:         PetscObjectQuery((PetscObject)sub_schurs->A,"__KSPFETIDP_iP",(PetscObject*)&iP);
    784:         if (iP) reuse = PETSC_TRUE;
    785:       }
    786:       if (!reuse) {
    787:         IS       aB;
    788:         PetscInt nb;
    789:         ISGetLocalSize(pcis->is_B_local,&nb);
    790:         ISCreateStride(PetscObjectComm((PetscObject)pcis->A_II),nb,0,1,&aB);
    791:         MatCreateSubMatrix(pcis->A_II,iV,iV,MAT_INITIAL_MATRIX,&A_II);
    792:         MatCreateSubMatrix(pcis->A_IB,iV,aB,MAT_INITIAL_MATRIX,&A_IB);
    793:         MatCreateSubMatrix(pcis->A_BI,aB,iV,MAT_INITIAL_MATRIX,&A_BI);
    794:         ISDestroy(&aB);
    795:       } else {
    796:         MatCreateSubMatrix(sub_schurs->A,pcis->is_I_local,pcis->is_B_local,MAT_INITIAL_MATRIX,&A_IB);
    797:         MatCreateSubMatrix(sub_schurs->A,pcis->is_B_local,pcis->is_I_local,MAT_INITIAL_MATRIX,&A_BI);
    798:         PetscObjectReference((PetscObject)pcis->A_II);
    799:         A_II = pcis->A_II;
    800:       }
    801:       MatCreateSchurComplement(A_II,A_II,A_IB,A_BI,pcis->A_BB,&fetidppc_ctx->S_j);

    803:       /* propagate settings of solver */
    804:       MatSchurComplementGetKSP(fetidppc_ctx->S_j,&sksp);
    805:       KSPGetType(pcis->ksp_D,&ksptype);
    806:       KSPSetType(sksp,ksptype);
    807:       KSPGetPC(pcis->ksp_D,&pc);
    808:       PetscObjectTypeCompare((PetscObject)pc,PCSHELL,&isshell);
    809:       if (!isshell) {
    810:         MatSolverType    solver;
    811:         PCType           pctype;

    813:         PCGetType(pc,&pctype);
    814:         PCFactorGetMatSolverType(pc,(MatSolverType*)&solver);
    815:         KSPGetPC(sksp,&pc);
    816:         PCSetType(pc,pctype);
    817:         if (solver) {
    818:           PCFactorSetMatSolverType(pc,solver);
    819:         }
    820:       } else {
    821:         KSPGetPC(sksp,&pc);
    822:         PCSetType(pc,PCLU);
    823:       }
    824:       MatDestroy(&A_II);
    825:       MatDestroy(&A_IB);
    826:       MatDestroy(&A_BI);
    827:       MatGetOptionsPrefix(fetimat,&prefix);
    828:       KSPSetOptionsPrefix(sksp,prefix);
    829:       KSPAppendOptionsPrefix(sksp,"harmonic_");
    830:       KSPSetFromOptions(sksp);
    831:       if (reuse) {
    832:         KSPSetPC(sksp,sub_schurs->reuse_solver->interior_solver);
    833:         PetscObjectIncrementTabLevel((PetscObject)sub_schurs->reuse_solver->interior_solver,(PetscObject)sksp,0);
    834:       }
    835:     } else { /* default Dirichlet preconditioner is pde-harmonic */
    836:       MatCreateSchurComplement(pcis->A_II,pcis->A_II,pcis->A_IB,pcis->A_BI,pcis->A_BB,&fetidppc_ctx->S_j);
    837:       MatSchurComplementSetKSP(fetidppc_ctx->S_j,pcis->ksp_D);
    838:     }
    839:   } else {
    840:     PetscObjectReference((PetscObject)pcis->A_BB);
    841:     fetidppc_ctx->S_j = pcis->A_BB;
    842:   }
    843:   /* saddle-point */
    844:   if (mat_ctx->xPg) {
    845:     PetscObjectReference((PetscObject)mat_ctx->xPg);
    846:     fetidppc_ctx->xPg = mat_ctx->xPg;
    847:     PetscObjectReference((PetscObject)mat_ctx->yPg);
    848:     fetidppc_ctx->yPg = mat_ctx->yPg;
    849:   }
    850:   return(0);
    851: }

    853: PetscErrorCode FETIDPMatMult_Kernel(Mat fetimat, Vec x, Vec y, PetscBool trans)
    854: {
    855:   FETIDPMat_ctx  mat_ctx;
    856:   PC_BDDC        *pcbddc;
    857:   PC_IS          *pcis;

    861:   MatShellGetContext(fetimat,&mat_ctx);
    862:   pcis = (PC_IS*)mat_ctx->pc->data;
    863:   pcbddc = (PC_BDDC*)mat_ctx->pc->data;
    864:   /* Application of B_delta^T */
    865:   VecSet(pcis->vec1_B,0.);
    866:   VecScatterBegin(mat_ctx->l2g_lambda,x,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);
    867:   VecScatterEnd(mat_ctx->l2g_lambda,x,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);
    868:   MatMultTranspose(mat_ctx->B_delta,mat_ctx->lambda_local,pcis->vec1_B);

    870:   /* Add contribution from saddle point */
    871:   if (mat_ctx->l2g_p) {
    872:     VecScatterBegin(mat_ctx->l2g_p,x,mat_ctx->vP,INSERT_VALUES,SCATTER_REVERSE);
    873:     VecScatterEnd(mat_ctx->l2g_p,x,mat_ctx->vP,INSERT_VALUES,SCATTER_REVERSE);
    874:     if (pcbddc->switch_static) {
    875:       if (trans) {
    876:         MatMultTranspose(mat_ctx->B_BI,mat_ctx->vP,pcis->vec1_D);
    877:       } else {
    878:         MatMult(mat_ctx->Bt_BI,mat_ctx->vP,pcis->vec1_D);
    879:       }
    880:     }
    881:     if (trans) {
    882:       MatMultTransposeAdd(mat_ctx->B_BB,mat_ctx->vP,pcis->vec1_B,pcis->vec1_B);
    883:     } else {
    884:       MatMultAdd(mat_ctx->Bt_BB,mat_ctx->vP,pcis->vec1_B,pcis->vec1_B);
    885:     }
    886:   } else {
    887:     if (pcbddc->switch_static) {
    888:       VecSet(pcis->vec1_D,0.0);
    889:     }
    890:   }
    891:   /* Application of \widetilde{S}^-1 */
    892:   PetscArrayzero(pcbddc->benign_p0,pcbddc->benign_n);
    893:   PCBDDCApplyInterfacePreconditioner(mat_ctx->pc,trans);
    894:   PetscArrayzero(pcbddc->benign_p0,pcbddc->benign_n);
    895:   VecSet(y,0.0);
    896:   /* Application of B_delta */
    897:   MatMult(mat_ctx->B_delta,pcis->vec1_B,mat_ctx->lambda_local);
    898:   /* Contribution from boundary pressures */
    899:   if (mat_ctx->C) {
    900:     const PetscScalar *lx;
    901:     PetscScalar       *ly;

    903:     /* pressure ordered first in the local part of x and y */
    904:     VecGetArrayRead(x,&lx);
    905:     VecGetArray(y,&ly);
    906:     VecPlaceArray(mat_ctx->xPg,lx);
    907:     VecPlaceArray(mat_ctx->yPg,ly);
    908:     if (trans) {
    909:       MatMultTranspose(mat_ctx->C,mat_ctx->xPg,mat_ctx->yPg);
    910:     } else {
    911:       MatMult(mat_ctx->C,mat_ctx->xPg,mat_ctx->yPg);
    912:     }
    913:     VecResetArray(mat_ctx->xPg);
    914:     VecResetArray(mat_ctx->yPg);
    915:     VecRestoreArrayRead(x,&lx);
    916:     VecRestoreArray(y,&ly);
    917:   }
    918:   /* Add contribution from saddle point */
    919:   if (mat_ctx->l2g_p) {
    920:     if (trans) {
    921:       MatMultTranspose(mat_ctx->Bt_BB,pcis->vec1_B,mat_ctx->vP);
    922:     } else {
    923:       MatMult(mat_ctx->B_BB,pcis->vec1_B,mat_ctx->vP);
    924:     }
    925:     if (pcbddc->switch_static) {
    926:       if (trans) {
    927:         MatMultTransposeAdd(mat_ctx->Bt_BI,pcis->vec1_D,mat_ctx->vP,mat_ctx->vP);
    928:       } else {
    929:         MatMultAdd(mat_ctx->B_BI,pcis->vec1_D,mat_ctx->vP,mat_ctx->vP);
    930:       }
    931:     }
    932:     VecScatterBegin(mat_ctx->l2g_p,mat_ctx->vP,y,ADD_VALUES,SCATTER_FORWARD);
    933:     VecScatterEnd(mat_ctx->l2g_p,mat_ctx->vP,y,ADD_VALUES,SCATTER_FORWARD);
    934:   }
    935:   VecScatterBegin(mat_ctx->l2g_lambda,mat_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);
    936:   VecScatterEnd(mat_ctx->l2g_lambda,mat_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);
    937:   return(0);
    938: }

    940: PetscErrorCode FETIDPMatMult(Mat fetimat, Vec x, Vec y)
    941: {

    945:   FETIDPMatMult_Kernel(fetimat,x,y,PETSC_FALSE);
    946:   return(0);
    947: }

    949: PetscErrorCode FETIDPMatMultTranspose(Mat fetimat, Vec x, Vec y)
    950: {

    954:   FETIDPMatMult_Kernel(fetimat,x,y,PETSC_TRUE);
    955:   return(0);
    956: }

    958: PetscErrorCode FETIDPPCApply_Kernel(PC fetipc, Vec x, Vec y, PetscBool trans)
    959: {
    960:   FETIDPPC_ctx   pc_ctx;
    961:   PC_IS          *pcis;

    965:   PCShellGetContext(fetipc,&pc_ctx);
    966:   pcis = (PC_IS*)pc_ctx->pc->data;
    967:   /* Application of B_Ddelta^T */
    968:   VecScatterBegin(pc_ctx->l2g_lambda,x,pc_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);
    969:   VecScatterEnd(pc_ctx->l2g_lambda,x,pc_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);
    970:   VecSet(pcis->vec2_B,0.0);
    971:   MatMultTranspose(pc_ctx->B_Ddelta,pc_ctx->lambda_local,pcis->vec2_B);
    972:   /* Application of local Schur complement */
    973:   if (trans) {
    974:     MatMultTranspose(pc_ctx->S_j,pcis->vec2_B,pcis->vec1_B);
    975:   } else {
    976:     MatMult(pc_ctx->S_j,pcis->vec2_B,pcis->vec1_B);
    977:   }
    978:   /* Application of B_Ddelta */
    979:   MatMult(pc_ctx->B_Ddelta,pcis->vec1_B,pc_ctx->lambda_local);
    980:   VecSet(y,0.0);
    981:   VecScatterBegin(pc_ctx->l2g_lambda,pc_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);
    982:   VecScatterEnd(pc_ctx->l2g_lambda,pc_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);
    983:   return(0);
    984: }

    986: PetscErrorCode FETIDPPCApply(PC pc, Vec x, Vec y)
    987: {

    991:   FETIDPPCApply_Kernel(pc,x,y,PETSC_FALSE);
    992:   return(0);
    993: }

    995: PetscErrorCode FETIDPPCApplyTranspose(PC pc, Vec x, Vec y)
    996: {

    1000:   FETIDPPCApply_Kernel(pc,x,y,PETSC_TRUE);
    1001:   return(0);
    1002: }

    1004: PetscErrorCode FETIDPPCView(PC pc, PetscViewer viewer)
    1005: {
    1006:   FETIDPPC_ctx      pc_ctx;
    1007:   PetscBool         iascii;
    1008:   PetscViewer       sviewer;
    1009:   PetscErrorCode    ierr;

    1012:   PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);
    1013:   if (iascii) {
    1014:     PetscMPIInt rank;
    1015:     PetscBool   isschur,isshell;

    1017:     PCShellGetContext(pc,&pc_ctx);
    1018:     MPI_Comm_rank(PetscObjectComm((PetscObject)pc),&rank);
    1019:     PetscObjectTypeCompare((PetscObject)pc_ctx->S_j,MATSCHURCOMPLEMENT,&isschur);
    1020:     if (isschur) {
    1021:       PetscViewerASCIIPrintf(viewer,"  Dirichlet preconditioner (just from rank 0)\n");
    1022:     } else {
    1023:       PetscViewerASCIIPrintf(viewer,"  Lumped preconditioner (just from rank 0)\n");
    1024:     }
    1025:     PetscViewerGetSubViewer(viewer,PetscObjectComm((PetscObject)pc_ctx->S_j),&sviewer);
    1026:     if (rank == 0) {
    1027:       PetscViewerPushFormat(sviewer,PETSC_VIEWER_ASCII_INFO);
    1028:       PetscViewerASCIIPushTab(sviewer);
    1029:       MatView(pc_ctx->S_j,sviewer);
    1030:       PetscViewerASCIIPopTab(sviewer);
    1031:       PetscViewerPopFormat(sviewer);
    1032:     }
    1033:     PetscViewerRestoreSubViewer(viewer,PetscObjectComm((PetscObject)pc_ctx->S_j),&sviewer);
    1034:     PetscObjectTypeCompare((PetscObject)pc_ctx->B_Ddelta,MATSHELL,&isshell);
    1035:     if (isshell) {
    1036:       BDdelta_DN ctx;
    1037:       PetscViewerASCIIPrintf(viewer,"  FETI-DP BDdelta: DB^t * (B D^-1 B^t)^-1 for deluxe scaling (just from rank 0)\n");
    1038:       MatShellGetContext(pc_ctx->B_Ddelta,&ctx);
    1039:       PetscViewerGetSubViewer(viewer,PetscObjectComm((PetscObject)pc_ctx->S_j),&sviewer);
    1040:       if (rank == 0) {
    1041:         PetscInt tl;

    1043:         PetscViewerASCIIGetTab(sviewer,&tl);
    1044:         PetscObjectSetTabLevel((PetscObject)ctx->kBD,tl);
    1045:         KSPView(ctx->kBD,sviewer);
    1046:         PetscViewerPushFormat(sviewer,PETSC_VIEWER_ASCII_INFO);
    1047:         MatView(ctx->BD,sviewer);
    1048:         PetscViewerPopFormat(sviewer);
    1049:       }
    1050:       PetscViewerRestoreSubViewer(viewer,PetscObjectComm((PetscObject)pc_ctx->S_j),&sviewer);
    1051:     }
    1052:     PetscViewerFlush(viewer);
    1053:   }
    1054:   return(0);
    1055: }