Date: 2021-03-03T22:27:17+00:00

Actual source code: bddcfetidp.c
petsc-3.14.5 2021-03-03
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      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,(void**)&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,(void**)&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,(void**)&ctx);
     38:   MatDestroy(&ctx->BD);
     39:   KSPDestroy(&ctx->kBD);
     40:   VecDestroy(&ctx->work);
     41:   PetscFree(ctx);
     42:   return(0);
     43: }

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

     52:   PetscNew(&newctx);
     53:   /* increase the reference count for BDDC preconditioner */
     54:   PetscObjectReference((PetscObject)pc);
     55:   newctx->pc              = pc;
     56:   *fetidpmat_ctx          = newctx;
     57:   return(0);
     58: }

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

     66:   PetscNew(&newctx);
     67:   /* increase the reference count for BDDC preconditioner */
     68:   PetscObjectReference((PetscObject)pc);
     69:   newctx->pc              = pc;
     70:   *fetidppc_ctx           = newctx;
     71:   return(0);
     72: }

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

     80:   MatShellGetContext(A,(void**)&mat_ctx);
     81:   VecDestroy(&mat_ctx->lambda_local);
     82:   VecDestroy(&mat_ctx->temp_solution_D);
     83:   VecDestroy(&mat_ctx->temp_solution_B);
     84:   MatDestroy(&mat_ctx->B_delta);
     85:   MatDestroy(&mat_ctx->B_Ddelta);
     86:   MatDestroy(&mat_ctx->B_BB);
     87:   MatDestroy(&mat_ctx->B_BI);
     88:   MatDestroy(&mat_ctx->Bt_BB);
     89:   MatDestroy(&mat_ctx->Bt_BI);
     90:   MatDestroy(&mat_ctx->C);
     91:   VecDestroy(&mat_ctx->rhs_flip);
     92:   VecDestroy(&mat_ctx->vP);
     93:   VecDestroy(&mat_ctx->xPg);
     94:   VecDestroy(&mat_ctx->yPg);
     95:   VecScatterDestroy(&mat_ctx->l2g_lambda);
     96:   VecScatterDestroy(&mat_ctx->l2g_lambda_only);
     97:   VecScatterDestroy(&mat_ctx->l2g_p);
     98:   VecScatterDestroy(&mat_ctx->g2g_p);
     99:   PCDestroy(&mat_ctx->pc); /* decrease PCBDDC reference count */
    100:   ISDestroy(&mat_ctx->pressure);
    101:   ISDestroy(&mat_ctx->lagrange);
    102:   PetscFree(mat_ctx);
    103:   return(0);
    104: }

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

    112:   PCShellGetContext(pc,(void**)&pc_ctx);
    113:   VecDestroy(&pc_ctx->lambda_local);
    114:   MatDestroy(&pc_ctx->B_Ddelta);
    115:   VecScatterDestroy(&pc_ctx->l2g_lambda);
    116:   MatDestroy(&pc_ctx->S_j);
    117:   PCDestroy(&pc_ctx->pc); /* decrease PCBDDC reference count */
    118:   VecDestroy(&pc_ctx->xPg);
    119:   VecDestroy(&pc_ctx->yPg);
    120:   PetscFree(pc_ctx);
    121:   return(0);
    122: }

    124: PetscErrorCode PCBDDCSetupFETIDPMatContext(FETIDPMat_ctx fetidpmat_ctx)
    125: {
    127:   PC_IS          *pcis=(PC_IS*)fetidpmat_ctx->pc->data;
    128:   PC_BDDC        *pcbddc=(PC_BDDC*)fetidpmat_ctx->pc->data;
    129:   PCBDDCGraph    mat_graph=pcbddc->mat_graph;
    130:   Mat_IS         *matis  = (Mat_IS*)fetidpmat_ctx->pc->pmat->data;
    131:   MPI_Comm       comm;
    132:   Mat            ScalingMat,BD1,BD2;
    133:   Vec            fetidp_global;
    134:   IS             IS_l2g_lambda;
    135:   IS             subset,subset_mult,subset_n,isvert;
    136:   PetscBool      skip_node,fully_redundant;
    137:   PetscInt       i,j,k,s,n_boundary_dofs,n_global_lambda,n_vertices,partial_sum;
    138:   PetscInt       cum,n_local_lambda,n_lambda_for_dof,dual_size,n_neg_values,n_pos_values;
    139:   PetscMPIInt    rank,size,buf_size,neigh;
    140:   PetscScalar    scalar_value;
    141:   const PetscInt *vertex_indices;
    142:   PetscInt       *dual_dofs_boundary_indices,*aux_local_numbering_1;
    143:   const PetscInt *aux_global_numbering;
    144:   PetscInt       *aux_sums,*cols_B_delta,*l2g_indices;
    145:   PetscScalar    *array,*scaling_factors,*vals_B_delta;
    146:   PetscScalar    **all_factors;
    147:   PetscInt       *aux_local_numbering_2;
    148:   PetscLayout    llay;

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

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

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

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

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

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

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

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

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

    223:     PetscObjectQuery((PetscObject)fetidpmat_ctx->pc,"__KSPFETIDP_flip" ,(PetscObject*)&fetidpmat_ctx->rhs_flip);
    224:     if (fetidpmat_ctx->rhs_flip) {
    225:       PetscObjectReference((PetscObject)fetidpmat_ctx->rhs_flip);
    226:     }
    227:   }

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

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

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

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

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

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

    290:   if (PetscDefined(USE_DEBUG)) {
    291:     VecSet(pcis->vec1_global,0.0);
    292:     VecScatterBegin(matis->rctx,pcis->vec1_N,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);
    293:     VecScatterEnd(matis->rctx,pcis->vec1_N,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);
    294:     VecSum(pcis->vec1_global,&scalar_value);
    295:     i = (PetscInt)PetscRealPart(scalar_value);
    296:     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);
    297:   }

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

    305:     partial_sum = 0;
    306:     PetscMalloc1(pcis->n_neigh,&ptrs_buffer);
    307:     PetscMalloc1(PetscMax(pcis->n_neigh-1,0),&send_reqs);
    308:     PetscMalloc1(PetscMax(pcis->n_neigh-1,0),&recv_reqs);
    309:     PetscMalloc1(pcis->n+1,&all_factors);
    310:     if (pcis->n_neigh > 0) ptrs_buffer[0]=0;
    311:     for (i=1;i<pcis->n_neigh;i++) {
    312:       partial_sum += pcis->n_shared[i];
    313:       ptrs_buffer[i] = ptrs_buffer[i-1]+pcis->n_shared[i];
    314:     }
    315:     PetscMalloc1(partial_sum,&send_buffer);
    316:     PetscMalloc1(partial_sum,&recv_buffer);
    317:     PetscMalloc1(partial_sum,&all_factors[0]);
    318:     for (i=0;i<pcis->n-1;i++) {
    319:       j = mat_graph->count[i];
    320:       all_factors[i+1]=all_factors[i]+j;
    321:     }

    323:     /* scatter B scaling to N vec */
    324:     VecScatterBegin(pcis->N_to_B,pcis->D,pcis->vec1_N,INSERT_VALUES,SCATTER_REVERSE);
    325:     VecScatterEnd(pcis->N_to_B,pcis->D,pcis->vec1_N,INSERT_VALUES,SCATTER_REVERSE);
    326:     /* communications */
    327:     VecGetArrayRead(pcis->vec1_N,(const PetscScalar**)&array);
    328:     for (i=1;i<pcis->n_neigh;i++) {
    329:       for (j=0;j<pcis->n_shared[i];j++) {
    330:         send_buffer[ptrs_buffer[i-1]+j]=array[pcis->shared[i][j]];
    331:       }
    332:       PetscMPIIntCast(ptrs_buffer[i]-ptrs_buffer[i-1],&buf_size);
    333:       PetscMPIIntCast(pcis->neigh[i],&neigh);
    334:       MPI_Isend(&send_buffer[ptrs_buffer[i-1]],buf_size,MPIU_SCALAR,neigh,0,comm,&send_reqs[i-1]);
    335:       MPI_Irecv(&recv_buffer[ptrs_buffer[i-1]],buf_size,MPIU_SCALAR,neigh,0,comm,&recv_reqs[i-1]);
    336:     }
    337:     VecRestoreArrayRead(pcis->vec1_N,(const PetscScalar**)&array);
    338:     if (pcis->n_neigh > 0) {
    339:       MPI_Waitall(pcis->n_neigh-1,recv_reqs,MPI_STATUSES_IGNORE);
    340:     }
    341:     /* put values in correct places */
    342:     for (i=1;i<pcis->n_neigh;i++) {
    343:       for (j=0;j<pcis->n_shared[i];j++) {
    344:         k = pcis->shared[i][j];
    345:         neigh_position = 0;
    346:         while (mat_graph->neighbours_set[k][neigh_position] != pcis->neigh[i]) {neigh_position++;}
    347:         all_factors[k][neigh_position]=recv_buffer[ptrs_buffer[i-1]+j];
    348:       }
    349:     }
    350:     if (pcis->n_neigh > 0) {
    351:       MPI_Waitall(pcis->n_neigh-1,send_reqs,MPI_STATUSES_IGNORE);
    352:     }
    353:     PetscFree(send_reqs);
    354:     PetscFree(recv_reqs);
    355:     PetscFree(send_buffer);
    356:     PetscFree(recv_buffer);
    357:     PetscFree(ptrs_buffer);
    358:   }

    360:   /* Compute B and B_delta (local actions) */
    361:   PetscMalloc1(pcis->n_neigh,&aux_sums);
    362:   PetscMalloc1(n_local_lambda,&l2g_indices);
    363:   PetscMalloc1(n_local_lambda,&vals_B_delta);
    364:   PetscMalloc1(n_local_lambda,&cols_B_delta);
    365:   if (!pcbddc->use_deluxe_scaling) {
    366:     PetscMalloc1(n_local_lambda,&scaling_factors);
    367:   } else {
    368:     scaling_factors = NULL;
    369:     all_factors     = NULL;
    370:   }
    371:   ISGetIndices(subset_n,&aux_global_numbering);
    372:   partial_sum=0;
    373:   cum = 0;
    374:   for (i=0;i<dual_size;i++) {
    375:     n_global_lambda = aux_global_numbering[cum];
    376:     j = mat_graph->count[aux_local_numbering_1[i]];
    377:     aux_sums[0]=0;
    378:     for (s=1;s<j;s++) {
    379:       aux_sums[s]=aux_sums[s-1]+j-s+1;
    380:     }
    381:     if (all_factors) array = all_factors[aux_local_numbering_1[i]];
    382:     n_neg_values = 0;
    383:     while (n_neg_values < j && mat_graph->neighbours_set[aux_local_numbering_1[i]][n_neg_values] < rank) {n_neg_values++;}
    384:     n_pos_values = j - n_neg_values;
    385:     if (fully_redundant) {
    386:       for (s=0;s<n_neg_values;s++) {
    387:         l2g_indices    [partial_sum+s]=aux_sums[s]+n_neg_values-s-1+n_global_lambda;
    388:         cols_B_delta   [partial_sum+s]=dual_dofs_boundary_indices[i];
    389:         vals_B_delta   [partial_sum+s]=-1.0;
    390:         if (!pcbddc->use_deluxe_scaling) scaling_factors[partial_sum+s]=array[s];
    391:       }
    392:       for (s=0;s<n_pos_values;s++) {
    393:         l2g_indices    [partial_sum+s+n_neg_values]=aux_sums[n_neg_values]+s+n_global_lambda;
    394:         cols_B_delta   [partial_sum+s+n_neg_values]=dual_dofs_boundary_indices[i];
    395:         vals_B_delta   [partial_sum+s+n_neg_values]=1.0;
    396:         if (!pcbddc->use_deluxe_scaling) scaling_factors[partial_sum+s+n_neg_values]=array[s+n_neg_values];
    397:       }
    398:       partial_sum += j;
    399:     } else {
    400:       /* l2g_indices and default cols and vals of B_delta */
    401:       for (s=0;s<j;s++) {
    402:         l2g_indices    [partial_sum+s]=n_global_lambda+s;
    403:         cols_B_delta   [partial_sum+s]=dual_dofs_boundary_indices[i];
    404:         vals_B_delta   [partial_sum+s]=0.0;
    405:       }
    406:       /* B_delta */
    407:       if (n_neg_values > 0) { /* there's a rank next to me to the left */
    408:         vals_B_delta   [partial_sum+n_neg_values-1]=-1.0;
    409:       }
    410:       if (n_neg_values < j) { /* there's a rank next to me to the right */
    411:         vals_B_delta   [partial_sum+n_neg_values]=1.0;
    412:       }
    413:       /* scaling as in Klawonn-Widlund 1999 */
    414:       if (!pcbddc->use_deluxe_scaling) {
    415:         for (s=0;s<n_neg_values;s++) {
    416:           scalar_value = 0.0;
    417:           for (k=0;k<s+1;k++) scalar_value += array[k];
    418:           scaling_factors[partial_sum+s] = -scalar_value;
    419:         }
    420:         for (s=0;s<n_pos_values;s++) {
    421:           scalar_value = 0.0;
    422:           for (k=s+n_neg_values;k<j;k++) scalar_value += array[k];
    423:           scaling_factors[partial_sum+s+n_neg_values] = scalar_value;
    424:         }
    425:       }
    426:       partial_sum += j;
    427:     }
    428:     cum += aux_local_numbering_2[i];
    429:   }
    430:   ISRestoreIndices(subset_n,&aux_global_numbering);
    431:   ISDestroy(&subset_mult);
    432:   ISDestroy(&subset_n);
    433:   PetscFree(aux_sums);
    434:   PetscFree(aux_local_numbering_1);
    435:   PetscFree(dual_dofs_boundary_indices);
    436:   if (all_factors) {
    437:     PetscFree(all_factors[0]);
    438:     PetscFree(all_factors);
    439:   }

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

    680:       PetscLayoutFindOwner(llay,l2g_indices[i],&owner);
    681:       ps = pranges[owner+1]-pranges[owner];
    682:       l2g_indices[i] = l2g_indices[i]-lranges[owner]+aranges[owner]+ps;
    683:     }

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

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

    701:   /* Create some work vectors needed by fetidp */
    702:   VecDuplicate(pcis->vec1_B,&fetidpmat_ctx->temp_solution_B);
    703:   VecDuplicate(pcis->vec1_D,&fetidpmat_ctx->temp_solution_D);
    704:   return(0);
    705: }

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

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

    729:     MatShellGetContext(mat_ctx->B_Ddelta,&ctx);
    730:     KSPSetType(ctx->kBD,KSPPREONLY);
    731:     KSPGetPC(ctx->kBD,&mpc);
    732:     KSPGetPC(pcbddc->ksp_D,&pc);
    733:     PCSetType(mpc,PCLU);
    734:     PCFactorGetMatSolverType(pc,(MatSolverType*)&solver);
    735:     if (solver) {
    736:       PCFactorSetMatSolverType(mpc,solver);
    737:     }
    738:     MatGetOptionsPrefix(fetimat,&prefix);
    739:     KSPSetOptionsPrefix(ctx->kBD,prefix);
    740:     KSPAppendOptionsPrefix(ctx->kBD,"bddelta_");
    741:     KSPSetFromOptions(ctx->kBD);
    742:   }

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

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

    771:       /*
    772:         We constructs a Schur complement for

    774:         | A_II A_ID |
    775:         | A_DI A_DD |

    777:         instead of

    779:         | A_II  B^t_II A_ID |
    780:         | B_II -C_II   B_ID |
    781:         | A_DI  B^t_ID A_DD |

    783:       */
    784:       if (sub_schurs && sub_schurs->reuse_solver) {
    785:         PetscObjectQuery((PetscObject)sub_schurs->A,"__KSPFETIDP_iP",(PetscObject*)&iP);
    786:         if (iP) reuse = PETSC_TRUE;
    787:       }
    788:       if (!reuse) {
    789:         IS       aB;
    790:         PetscInt nb;
    791:         ISGetLocalSize(pcis->is_B_local,&nb);
    792:         ISCreateStride(PetscObjectComm((PetscObject)pcis->A_II),nb,0,1,&aB);
    793:         MatCreateSubMatrix(pcis->A_II,iV,iV,MAT_INITIAL_MATRIX,&A_II);
    794:         MatCreateSubMatrix(pcis->A_IB,iV,aB,MAT_INITIAL_MATRIX,&A_IB);
    795:         MatCreateSubMatrix(pcis->A_BI,aB,iV,MAT_INITIAL_MATRIX,&A_BI);
    796:         ISDestroy(&aB);
    797:       } else {
    798:         MatCreateSubMatrix(sub_schurs->A,pcis->is_I_local,pcis->is_B_local,MAT_INITIAL_MATRIX,&A_IB);
    799:         MatCreateSubMatrix(sub_schurs->A,pcis->is_B_local,pcis->is_I_local,MAT_INITIAL_MATRIX,&A_BI);
    800:         PetscObjectReference((PetscObject)pcis->A_II);
    801:         A_II = pcis->A_II;
    802:       }
    803:       MatCreateSchurComplement(A_II,A_II,A_IB,A_BI,pcis->A_BB,&fetidppc_ctx->S_j);

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

    815:         PCGetType(pc,&pctype);
    816:         PCFactorGetMatSolverType(pc,(MatSolverType*)&solver);
    817:         KSPGetPC(sksp,&pc);
    818:         PCSetType(pc,pctype);
    819:         if (solver) {
    820:           PCFactorSetMatSolverType(pc,solver);
    821:         }
    822:       } else {
    823:         KSPGetPC(sksp,&pc);
    824:         PCSetType(pc,PCLU);
    825:       }
    826:       MatDestroy(&A_II);
    827:       MatDestroy(&A_IB);
    828:       MatDestroy(&A_BI);
    829:       MatGetOptionsPrefix(fetimat,&prefix);
    830:       KSPSetOptionsPrefix(sksp,prefix);
    831:       KSPAppendOptionsPrefix(sksp,"harmonic_");
    832:       KSPSetFromOptions(sksp);
    833:       if (reuse) {
    834:         KSPSetPC(sksp,sub_schurs->reuse_solver->interior_solver);
    835:         PetscObjectIncrementTabLevel((PetscObject)sub_schurs->reuse_solver->interior_solver,(PetscObject)sksp,0);
    836:       }
    837:     } else { /* default Dirichlet preconditioner is pde-harmonic */
    838:       MatCreateSchurComplement(pcis->A_II,pcis->A_II,pcis->A_IB,pcis->A_BI,pcis->A_BB,&fetidppc_ctx->S_j);
    839:       MatSchurComplementSetKSP(fetidppc_ctx->S_j,pcis->ksp_D);
    840:     }
    841:   } else {
    842:     PetscObjectReference((PetscObject)pcis->A_BB);
    843:     fetidppc_ctx->S_j = pcis->A_BB;
    844:   }
    845:   /* saddle-point */
    846:   if (mat_ctx->xPg) {
    847:     PetscObjectReference((PetscObject)mat_ctx->xPg);
    848:     fetidppc_ctx->xPg = mat_ctx->xPg;
    849:     PetscObjectReference((PetscObject)mat_ctx->yPg);
    850:     fetidppc_ctx->yPg = mat_ctx->yPg;
    851:   }
    852:   return(0);
    853: }

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

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

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

    905:     /* pressure ordered first in the local part of x and y */
    906:     VecGetArrayRead(x,&lx);
    907:     VecGetArray(y,&ly);
    908:     VecPlaceArray(mat_ctx->xPg,lx);
    909:     VecPlaceArray(mat_ctx->yPg,ly);
    910:     if (trans) {
    911:       MatMultTranspose(mat_ctx->C,mat_ctx->xPg,mat_ctx->yPg);
    912:     } else {
    913:       MatMult(mat_ctx->C,mat_ctx->xPg,mat_ctx->yPg);
    914:     }
    915:     VecResetArray(mat_ctx->xPg);
    916:     VecResetArray(mat_ctx->yPg);
    917:     VecRestoreArrayRead(x,&lx);
    918:     VecRestoreArray(y,&ly);
    919:   }
    920:   /* Add contribution from saddle point */
    921:   if (mat_ctx->l2g_p) {
    922:     if (trans) {
    923:       MatMultTranspose(mat_ctx->Bt_BB,pcis->vec1_B,mat_ctx->vP);
    924:     } else {
    925:       MatMult(mat_ctx->B_BB,pcis->vec1_B,mat_ctx->vP);
    926:     }
    927:     if (pcbddc->switch_static) {
    928:       if (trans) {
    929:         MatMultTransposeAdd(mat_ctx->Bt_BI,pcis->vec1_D,mat_ctx->vP,mat_ctx->vP);
    930:       } else {
    931:         MatMultAdd(mat_ctx->B_BI,pcis->vec1_D,mat_ctx->vP,mat_ctx->vP);
    932:       }
    933:     }
    934:     VecScatterBegin(mat_ctx->l2g_p,mat_ctx->vP,y,ADD_VALUES,SCATTER_FORWARD);
    935:     VecScatterEnd(mat_ctx->l2g_p,mat_ctx->vP,y,ADD_VALUES,SCATTER_FORWARD);
    936:   }
    937:   VecScatterBegin(mat_ctx->l2g_lambda,mat_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);
    938:   VecScatterEnd(mat_ctx->l2g_lambda,mat_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);
    939:   return(0);
    940: }

    942: PetscErrorCode FETIDPMatMult(Mat fetimat, Vec x, Vec y)
    943: {

    947:   FETIDPMatMult_Kernel(fetimat,x,y,PETSC_FALSE);
    948:   return(0);
    949: }

    951: PetscErrorCode FETIDPMatMultTranspose(Mat fetimat, Vec x, Vec y)
    952: {

    956:   FETIDPMatMult_Kernel(fetimat,x,y,PETSC_TRUE);
    957:   return(0);
    958: }

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

    967:   PCShellGetContext(fetipc,(void**)&pc_ctx);
    968:   pcis = (PC_IS*)pc_ctx->pc->data;
    969:   /* Application of B_Ddelta^T */
    970:   VecScatterBegin(pc_ctx->l2g_lambda,x,pc_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);
    971:   VecScatterEnd(pc_ctx->l2g_lambda,x,pc_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);
    972:   VecSet(pcis->vec2_B,0.0);
    973:   MatMultTranspose(pc_ctx->B_Ddelta,pc_ctx->lambda_local,pcis->vec2_B);
    974:   /* Application of local Schur complement */
    975:   if (trans) {
    976:     MatMultTranspose(pc_ctx->S_j,pcis->vec2_B,pcis->vec1_B);
    977:   } else {
    978:     MatMult(pc_ctx->S_j,pcis->vec2_B,pcis->vec1_B);
    979:   }
    980:   /* Application of B_Ddelta */
    981:   MatMult(pc_ctx->B_Ddelta,pcis->vec1_B,pc_ctx->lambda_local);
    982:   VecSet(y,0.0);
    983:   VecScatterBegin(pc_ctx->l2g_lambda,pc_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);
    984:   VecScatterEnd(pc_ctx->l2g_lambda,pc_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);
    985:   return(0);
    986: }

    988: PetscErrorCode FETIDPPCApply(PC pc, Vec x, Vec y)
    989: {

    993:   FETIDPPCApply_Kernel(pc,x,y,PETSC_FALSE);
    994:   return(0);
    995: }

    997: PetscErrorCode FETIDPPCApplyTranspose(PC pc, Vec x, Vec y)
    998: {

    1002:   FETIDPPCApply_Kernel(pc,x,y,PETSC_TRUE);
    1003:   return(0);
    1004: }

    1006: PetscErrorCode FETIDPPCView(PC pc, PetscViewer viewer)
    1007: {
    1008:   FETIDPPC_ctx      pc_ctx;
    1009:   PetscBool         iascii;
    1010:   PetscViewer       sviewer;
    1011:   PetscErrorCode    ierr;

    1014:   PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);
    1015:   if (iascii) {
    1016:     PetscMPIInt rank;
    1017:     PetscBool   isschur,isshell;

    1019:     PCShellGetContext(pc,(void**)&pc_ctx);
    1020:     MPI_Comm_rank(PetscObjectComm((PetscObject)pc),&rank);
    1021:     PetscObjectTypeCompare((PetscObject)pc_ctx->S_j,MATSCHURCOMPLEMENT,&isschur);
    1022:     if (isschur) {
    1023:       PetscViewerASCIIPrintf(viewer,"  Dirichlet preconditioner (just from rank 0)\n");
    1024:     } else {
    1025:       PetscViewerASCIIPrintf(viewer,"  Lumped preconditioner (just from rank 0)\n");
    1026:     }
    1027:     PetscViewerGetSubViewer(viewer,PetscObjectComm((PetscObject)pc_ctx->S_j),&sviewer);
    1028:     if (!rank) {
    1029:       PetscViewerPushFormat(sviewer,PETSC_VIEWER_ASCII_INFO);
    1030:       PetscViewerASCIIPushTab(sviewer);
    1031:       MatView(pc_ctx->S_j,sviewer);
    1032:       PetscViewerASCIIPopTab(sviewer);
    1033:       PetscViewerPopFormat(sviewer);
    1034:     }
    1035:     PetscViewerRestoreSubViewer(viewer,PetscObjectComm((PetscObject)pc_ctx->S_j),&sviewer);
    1036:     PetscObjectTypeCompare((PetscObject)pc_ctx->B_Ddelta,MATSHELL,&isshell);
    1037:     if (isshell) {
    1038:       BDdelta_DN ctx;
    1039:       PetscViewerASCIIPrintf(viewer,"  FETI-DP BDdelta: DB^t * (B D^-1 B^t)^-1 for deluxe scaling (just from rank 0)\n");
    1040:       MatShellGetContext(pc_ctx->B_Ddelta,&ctx);
    1041:       PetscViewerGetSubViewer(viewer,PetscObjectComm((PetscObject)pc_ctx->S_j),&sviewer);
    1042:       if (!rank) {
    1043:         PetscInt tl;

    1045:         PetscViewerASCIIGetTab(sviewer,&tl);
    1046:         PetscObjectSetTabLevel((PetscObject)ctx->kBD,tl);
    1047:         KSPView(ctx->kBD,sviewer);
    1048:         PetscViewerPushFormat(sviewer,PETSC_VIEWER_ASCII_INFO);
    1049:         MatView(ctx->BD,sviewer);
    1050:         PetscViewerPopFormat(sviewer);
    1051:       }
    1052:       PetscViewerRestoreSubViewer(viewer,PetscObjectComm((PetscObject)pc_ctx->S_j),&sviewer);
    1053:     }
    1054:     PetscViewerFlush(viewer);
    1055:   }
    1056:   return(0);
    1057: }