xref: /petsc/src/ksp/pc/impls/bddc/bddcfetidp.c (revision f99b5f5956ad544412cd3beb01fbb1d5b7dfd047) 
1 #include <../src/ksp/pc/impls/bddc/bddc.h>
2 #include <../src/ksp/pc/impls/bddc/bddcprivate.h>
3 #include <petscblaslapack.h>
4 
5 #undef __FUNCT__
6 #define __FUNCT__ "MatMult_BDdelta_deluxe_nonred"
7 static PetscErrorCode MatMult_BDdelta_deluxe_nonred(Mat A, Vec x, Vec y)
8 {
9   BDdelta_DN     ctx;
10   PetscErrorCode ierr;
11 
12   PetscFunctionBegin;
13   ierr = MatShellGetContext(A,(void**)&ctx);CHKERRQ(ierr);
14   ierr = MatMultTranspose(ctx->BD,x,ctx->work);CHKERRQ(ierr);
15   ierr = KSPSolveTranspose(ctx->kBD,ctx->work,y);CHKERRQ(ierr);
16   PetscFunctionReturn(0);
17 }
18 
19 #undef __FUNCT__
20 #define __FUNCT__ "MatMultTranspose_BDdelta_deluxe_nonred"
21 static PetscErrorCode MatMultTranspose_BDdelta_deluxe_nonred(Mat A, Vec x, Vec y)
22 {
23   BDdelta_DN     ctx;
24   PetscErrorCode ierr;
25 
26   PetscFunctionBegin;
27   ierr = MatShellGetContext(A,(void**)&ctx);CHKERRQ(ierr);
28   ierr = KSPSolve(ctx->kBD,x,ctx->work);CHKERRQ(ierr);
29   ierr = MatMult(ctx->BD,ctx->work,y);CHKERRQ(ierr);
30   PetscFunctionReturn(0);
31 }
32 
33 #undef __FUNCT__
34 #define __FUNCT__ "MatDestroy_BDdelta_deluxe_nonred"
35 static PetscErrorCode MatDestroy_BDdelta_deluxe_nonred(Mat A)
36 {
37   BDdelta_DN     ctx;
38   PetscErrorCode ierr;
39 
40   PetscFunctionBegin;
41   ierr = MatShellGetContext(A,(void**)&ctx);CHKERRQ(ierr);
42   ierr = MatDestroy(&ctx->BD);CHKERRQ(ierr);
43   ierr = KSPDestroy(&ctx->kBD);CHKERRQ(ierr);
44   ierr = VecDestroy(&ctx->work);CHKERRQ(ierr);
45   ierr = PetscFree(ctx);CHKERRQ(ierr);
46   PetscFunctionReturn(0);
47 }
48 
49 
50 #undef __FUNCT__
51 #define __FUNCT__ "PCBDDCCreateFETIDPMatContext"
52 PetscErrorCode PCBDDCCreateFETIDPMatContext(PC pc, FETIDPMat_ctx *fetidpmat_ctx)
53 {
54   FETIDPMat_ctx  newctx;
55   PetscErrorCode ierr;
56 
57   PetscFunctionBegin;
58   ierr = PetscNew(&newctx);CHKERRQ(ierr);
59   /* increase the reference count for BDDC preconditioner */
60   ierr = PetscObjectReference((PetscObject)pc);CHKERRQ(ierr);
61   newctx->pc              = pc;
62   *fetidpmat_ctx          = newctx;
63   PetscFunctionReturn(0);
64 }
65 
66 #undef __FUNCT__
67 #define __FUNCT__ "PCBDDCCreateFETIDPPCContext"
68 PetscErrorCode PCBDDCCreateFETIDPPCContext(PC pc, FETIDPPC_ctx *fetidppc_ctx)
69 {
70   FETIDPPC_ctx   newctx;
71   PetscErrorCode ierr;
72 
73   PetscFunctionBegin;
74   ierr = PetscNew(&newctx);CHKERRQ(ierr);
75   /* increase the reference count for BDDC preconditioner */
76   ierr = PetscObjectReference((PetscObject)pc);CHKERRQ(ierr);
77   newctx->pc              = pc;
78   *fetidppc_ctx           = newctx;
79   PetscFunctionReturn(0);
80 }
81 
82 #undef __FUNCT__
83 #define __FUNCT__ "PCBDDCDestroyFETIDPMat"
84 PetscErrorCode PCBDDCDestroyFETIDPMat(Mat A)
85 {
86   FETIDPMat_ctx  mat_ctx;
87   PetscErrorCode ierr;
88 
89   PetscFunctionBegin;
90   ierr = MatShellGetContext(A,(void**)&mat_ctx);CHKERRQ(ierr);
91   ierr = VecDestroy(&mat_ctx->lambda_local);CHKERRQ(ierr);
92   ierr = VecDestroy(&mat_ctx->temp_solution_D);CHKERRQ(ierr);
93   ierr = VecDestroy(&mat_ctx->temp_solution_B);CHKERRQ(ierr);
94   ierr = MatDestroy(&mat_ctx->B_delta);CHKERRQ(ierr);
95   ierr = MatDestroy(&mat_ctx->B_Ddelta);CHKERRQ(ierr);
96   ierr = MatDestroy(&mat_ctx->B_BB);CHKERRQ(ierr);
97   ierr = MatDestroy(&mat_ctx->B_BI);CHKERRQ(ierr);
98   ierr = MatDestroy(&mat_ctx->Bt_BB);CHKERRQ(ierr);
99   ierr = MatDestroy(&mat_ctx->Bt_BI);CHKERRQ(ierr);
100   ierr = MatDestroy(&mat_ctx->C);CHKERRQ(ierr);
101   ierr = VecDestroy(&mat_ctx->rhs_flip);CHKERRQ(ierr);
102   ierr = VecDestroy(&mat_ctx->vP);CHKERRQ(ierr);
103   ierr = VecDestroy(&mat_ctx->xPg);CHKERRQ(ierr);
104   ierr = VecDestroy(&mat_ctx->yPg);CHKERRQ(ierr);
105   ierr = VecScatterDestroy(&mat_ctx->l2g_lambda);CHKERRQ(ierr);
106   ierr = VecScatterDestroy(&mat_ctx->l2g_p);CHKERRQ(ierr);
107   ierr = VecScatterDestroy(&mat_ctx->g2g_p);CHKERRQ(ierr);
108   ierr = PCDestroy(&mat_ctx->pc);CHKERRQ(ierr); /* decrease PCBDDC reference count */
109   ierr = PetscFree(mat_ctx);CHKERRQ(ierr);
110   PetscFunctionReturn(0);
111 }
112 
113 #undef __FUNCT__
114 #define __FUNCT__ "PCBDDCDestroyFETIDPPC"
115 PetscErrorCode PCBDDCDestroyFETIDPPC(PC pc)
116 {
117   FETIDPPC_ctx   pc_ctx;
118   PetscErrorCode ierr;
119 
120   PetscFunctionBegin;
121   ierr = PCShellGetContext(pc,(void**)&pc_ctx);CHKERRQ(ierr);
122   ierr = VecDestroy(&pc_ctx->lambda_local);CHKERRQ(ierr);
123   ierr = MatDestroy(&pc_ctx->B_Ddelta);CHKERRQ(ierr);
124   ierr = VecScatterDestroy(&pc_ctx->l2g_lambda);CHKERRQ(ierr);
125   ierr = MatDestroy(&pc_ctx->S_j);CHKERRQ(ierr);
126   ierr = PCDestroy(&pc_ctx->pc);CHKERRQ(ierr); /* decrease PCBDDC reference count */
127   ierr = KSPDestroy(&pc_ctx->kP);CHKERRQ(ierr);
128   ierr = VecDestroy(&pc_ctx->xPg);CHKERRQ(ierr);
129   ierr = VecDestroy(&pc_ctx->yPg);CHKERRQ(ierr);
130   ierr = PetscFree(pc_ctx);CHKERRQ(ierr);
131   PetscFunctionReturn(0);
132 }
133 
134 #undef __FUNCT__
135 #define __FUNCT__ "PCBDDCSetupFETIDPMatContext"
136 PetscErrorCode PCBDDCSetupFETIDPMatContext(FETIDPMat_ctx fetidpmat_ctx )
137 {
138   PetscErrorCode ierr;
139   PC_IS          *pcis=(PC_IS*)fetidpmat_ctx->pc->data;
140   PC_BDDC        *pcbddc=(PC_BDDC*)fetidpmat_ctx->pc->data;
141   PCBDDCGraph    mat_graph=pcbddc->mat_graph;
142 #if defined(PETSC_USE_DEBUG)
143   Mat_IS         *matis  = (Mat_IS*)fetidpmat_ctx->pc->pmat->data;
144 #endif
145   MPI_Comm       comm;
146   Mat            ScalingMat,BD1,BD2;
147   Vec            fetidp_global;
148   IS             IS_l2g_lambda;
149   IS             subset,subset_mult,subset_n,isvert;
150   PetscBool      skip_node,fully_redundant;
151   PetscInt       i,j,k,s,n_boundary_dofs,n_global_lambda,n_vertices,partial_sum;
152   PetscInt       cum,n_local_lambda,n_lambda_for_dof,dual_size,n_neg_values,n_pos_values;
153   PetscMPIInt    rank,size,buf_size,neigh;
154   PetscScalar    scalar_value;
155   const PetscInt *vertex_indices;
156   PetscInt       *dual_dofs_boundary_indices,*aux_local_numbering_1;
157   const PetscInt *aux_global_numbering;
158   PetscInt       *aux_sums,*cols_B_delta,*l2g_indices;
159   PetscScalar    *array,*scaling_factors,*vals_B_delta;
160   PetscScalar    **all_factors;
161   PetscInt       *aux_local_numbering_2;
162   PetscLayout    llay;
163 
164   /* saddlepoint */
165   ISLocalToGlobalMapping l2gmap_p;
166   PetscLayout            play;
167   IS                     gP,pP;
168   PetscInt               nPl,nPg,nPgl;
169 
170   PetscFunctionBegin;
171   ierr = PetscObjectGetComm((PetscObject)(fetidpmat_ctx->pc),&comm);CHKERRQ(ierr);
172   ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
173   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
174 
175   /* saddlepoint */
176   nPl      = 0;
177   nPg      = 0;
178   nPgl     = 0;
179   gP       = NULL;
180   pP       = NULL;
181   l2gmap_p = NULL;
182   play     = NULL;
183   ierr = PetscObjectQuery((PetscObject)fetidpmat_ctx->pc,"__KSPFETIDP_pP",(PetscObject*)&pP);CHKERRQ(ierr);
184   if (pP) { /* saddle point */
185     /* subdomain pressures in global numbering */
186     ierr = PetscObjectQuery((PetscObject)fetidpmat_ctx->pc,"__KSPFETIDP_gP",(PetscObject*)&gP);CHKERRQ(ierr);
187     if (!gP) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"gP not present");
188     ierr = ISGetLocalSize(gP,&nPl);CHKERRQ(ierr);
189     ierr = VecCreate(PETSC_COMM_SELF,&fetidpmat_ctx->vP);CHKERRQ(ierr);
190     ierr = VecSetSizes(fetidpmat_ctx->vP,nPl,nPl);CHKERRQ(ierr);
191     ierr = VecSetType(fetidpmat_ctx->vP,VECSTANDARD);CHKERRQ(ierr);
192     ierr = VecSetUp(fetidpmat_ctx->vP);CHKERRQ(ierr);
193 
194     /* interface pressure matrix */
195     ierr = PetscObjectQuery((PetscObject)fetidpmat_ctx->pc,"__KSPFETIDP_C",(PetscObject*)&fetidpmat_ctx->C);CHKERRQ(ierr);
196     if (!fetidpmat_ctx->C) { /* null pressure block, compute layout and global numbering for interface pressures */
197       IS Pg;
198 
199       ierr = ISRenumber(gP,NULL,&nPg,&Pg);CHKERRQ(ierr);
200       ierr = ISLocalToGlobalMappingCreateIS(Pg,&l2gmap_p);CHKERRQ(ierr);
201       ierr = ISDestroy(&Pg);CHKERRQ(ierr);
202       ierr = PetscLayoutCreate(comm,&play);CHKERRQ(ierr);
203       ierr = PetscLayoutSetBlockSize(play,1);CHKERRQ(ierr);
204       ierr = PetscLayoutSetSize(play,nPg);CHKERRQ(ierr);
205       ierr = ISGetLocalSize(pP,&nPgl);CHKERRQ(ierr);
206       ierr = PetscLayoutSetLocalSize(play,nPgl);CHKERRQ(ierr);
207       ierr = PetscLayoutSetUp(play);CHKERRQ(ierr);
208     } else {
209       ierr = PetscObjectReference((PetscObject)fetidpmat_ctx->C);CHKERRQ(ierr);
210       ierr = MatGetLocalToGlobalMapping(fetidpmat_ctx->C,&l2gmap_p,NULL);CHKERRQ(ierr);
211       ierr = PetscObjectReference((PetscObject)l2gmap_p);CHKERRQ(ierr);
212       ierr = MatGetSize(fetidpmat_ctx->C,&nPg,NULL);CHKERRQ(ierr);
213       ierr = MatGetLocalSize(fetidpmat_ctx->C,NULL,&nPgl);CHKERRQ(ierr);
214       ierr = MatGetLayouts(fetidpmat_ctx->C,NULL,&llay);CHKERRQ(ierr);
215       ierr = PetscLayoutReference(llay,&play);CHKERRQ(ierr);
216     }
217     ierr = VecCreateMPIWithArray(comm,1,nPgl,nPg,NULL,&fetidpmat_ctx->xPg);CHKERRQ(ierr);
218     ierr = VecCreateMPIWithArray(comm,1,nPgl,nPg,NULL,&fetidpmat_ctx->yPg);CHKERRQ(ierr);
219 
220     /* import matrices for interface pressures coupling */
221     ierr = PetscObjectQuery((PetscObject)fetidpmat_ctx->pc,"__KSPFETIDP_B_BI",(PetscObject*)&fetidpmat_ctx->B_BI);CHKERRQ(ierr);
222     if (!fetidpmat_ctx->B_BI) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"B_BI not present");
223     ierr = PetscObjectReference((PetscObject)fetidpmat_ctx->B_BI);CHKERRQ(ierr);
224 
225     ierr = PetscObjectQuery((PetscObject)fetidpmat_ctx->pc,"__KSPFETIDP_B_BB",(PetscObject*)&fetidpmat_ctx->B_BB);CHKERRQ(ierr);
226     if (!fetidpmat_ctx->B_BB) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"B_BB not present");
227     ierr = PetscObjectReference((PetscObject)fetidpmat_ctx->B_BB);CHKERRQ(ierr);
228 
229     ierr = PetscObjectQuery((PetscObject)fetidpmat_ctx->pc,"__KSPFETIDP_Bt_BI",(PetscObject*)&fetidpmat_ctx->Bt_BI);CHKERRQ(ierr);
230     if (!fetidpmat_ctx->Bt_BI) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Bt_BI not present");
231     ierr = PetscObjectReference((PetscObject)fetidpmat_ctx->Bt_BI);CHKERRQ(ierr);
232 
233     ierr = PetscObjectQuery((PetscObject)fetidpmat_ctx->pc,"__KSPFETIDP_Bt_BB",(PetscObject*)&fetidpmat_ctx->Bt_BB);CHKERRQ(ierr);
234     if (!fetidpmat_ctx->Bt_BB) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Bt_BB not present");
235     ierr = PetscObjectReference((PetscObject)fetidpmat_ctx->Bt_BB);CHKERRQ(ierr);
236 
237     ierr = PetscObjectQuery((PetscObject)fetidpmat_ctx->pc,"__KSPFETIDP_flip" ,(PetscObject*)&fetidpmat_ctx->rhs_flip);CHKERRQ(ierr);
238     if (fetidpmat_ctx->rhs_flip) {
239       ierr = PetscObjectReference((PetscObject)fetidpmat_ctx->rhs_flip);CHKERRQ(ierr);
240     }
241   }
242 
243   /* Default type of lagrange multipliers is non-redundant */
244   fully_redundant = fetidpmat_ctx->fully_redundant;
245 
246   /* Evaluate local and global number of lagrange multipliers */
247   ierr = VecSet(pcis->vec1_N,0.0);CHKERRQ(ierr);
248   n_local_lambda = 0;
249   partial_sum = 0;
250   n_boundary_dofs = 0;
251   s = 0;
252 
253   /* Get Vertices used to define the BDDC */
254   ierr = PCBDDCGraphGetCandidatesIS(pcbddc->mat_graph,NULL,NULL,NULL,NULL,&isvert);CHKERRQ(ierr);
255   ierr = ISGetLocalSize(isvert,&n_vertices);CHKERRQ(ierr);
256   ierr = ISGetIndices(isvert,&vertex_indices);CHKERRQ(ierr);
257 
258   dual_size = pcis->n_B-n_vertices;
259   ierr = PetscMalloc1(dual_size,&dual_dofs_boundary_indices);CHKERRQ(ierr);
260   ierr = PetscMalloc1(dual_size,&aux_local_numbering_1);CHKERRQ(ierr);
261   ierr = PetscMalloc1(dual_size,&aux_local_numbering_2);CHKERRQ(ierr);
262 
263   ierr = VecGetArray(pcis->vec1_N,&array);CHKERRQ(ierr);
264   for (i=0;i<pcis->n;i++){
265     j = mat_graph->count[i]; /* RECALL: mat_graph->count[i] does not count myself */
266     if (j > 0) n_boundary_dofs++;
267     skip_node = PETSC_FALSE;
268     if (s < n_vertices && vertex_indices[s] == i) { /* it works for a sorted set of vertices */
269       skip_node = PETSC_TRUE;
270       s++;
271     }
272     if (j < 1) skip_node = PETSC_TRUE;
273     if (mat_graph->special_dof[i] == PCBDDCGRAPH_DIRICHLET_MARK) skip_node = PETSC_TRUE;
274     if (!skip_node) {
275       if (fully_redundant) {
276         /* fully redundant set of lagrange multipliers */
277         n_lambda_for_dof = (j*(j+1))/2;
278       } else {
279         n_lambda_for_dof = j;
280       }
281       n_local_lambda += j;
282       /* needed to evaluate global number of lagrange multipliers */
283       array[i]=(1.0*n_lambda_for_dof)/(j+1.0); /* already scaled for the next global sum */
284       /* store some data needed */
285       dual_dofs_boundary_indices[partial_sum] = n_boundary_dofs-1;
286       aux_local_numbering_1[partial_sum] = i;
287       aux_local_numbering_2[partial_sum] = n_lambda_for_dof;
288       partial_sum++;
289     }
290   }
291   ierr = VecRestoreArray(pcis->vec1_N,&array);CHKERRQ(ierr);
292   ierr = ISRestoreIndices(isvert,&vertex_indices);CHKERRQ(ierr);
293   ierr = PCBDDCGraphRestoreCandidatesIS(pcbddc->mat_graph,NULL,NULL,NULL,NULL,&isvert);CHKERRQ(ierr);
294   dual_size = partial_sum;
295 
296   /* compute global ordering of lagrange multipliers and associate l2g map */
297   ierr = ISCreateGeneral(comm,partial_sum,aux_local_numbering_1,PETSC_COPY_VALUES,&subset_n);CHKERRQ(ierr);
298   ierr = ISLocalToGlobalMappingApplyIS(pcis->mapping,subset_n,&subset);CHKERRQ(ierr);
299   ierr = ISDestroy(&subset_n);CHKERRQ(ierr);
300   ierr = ISCreateGeneral(comm,partial_sum,aux_local_numbering_2,PETSC_OWN_POINTER,&subset_mult);CHKERRQ(ierr);
301   ierr = ISRenumber(subset,subset_mult,&fetidpmat_ctx->n_lambda,&subset_n);CHKERRQ(ierr);
302   ierr = ISDestroy(&subset);CHKERRQ(ierr);
303 
304 #if defined(PETSC_USE_DEBUG)
305   ierr = VecSet(pcis->vec1_global,0.0);CHKERRQ(ierr);
306   ierr = VecScatterBegin(matis->rctx,pcis->vec1_N,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
307   ierr = VecScatterEnd(matis->rctx,pcis->vec1_N,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
308   ierr = VecSum(pcis->vec1_global,&scalar_value);CHKERRQ(ierr);
309   i = (PetscInt)PetscRealPart(scalar_value);
310   if (i != fetidpmat_ctx->n_lambda) SETERRQ2(PETSC_COMM_WORLD,PETSC_ERR_PLIB,"Global number of multipliers mismatch! (%d!=%d)\n",fetidpmat_ctx->n_lambda,i);
311 #endif
312 
313   /* init data for scaling factors exchange */
314   if (!pcbddc->use_deluxe_scaling) {
315     PetscInt    *ptrs_buffer,neigh_position;
316     PetscScalar *send_buffer,*recv_buffer;
317     MPI_Request *send_reqs,*recv_reqs;
318 
319     partial_sum = 0;
320     ierr = PetscMalloc1(pcis->n_neigh,&ptrs_buffer);CHKERRQ(ierr);
321     ierr = PetscMalloc1(PetscMax(pcis->n_neigh-1,0),&send_reqs);CHKERRQ(ierr);
322     ierr = PetscMalloc1(PetscMax(pcis->n_neigh-1,0),&recv_reqs);CHKERRQ(ierr);
323     ierr = PetscMalloc1(pcis->n+1,&all_factors);CHKERRQ(ierr);
324     if (pcis->n_neigh > 0) ptrs_buffer[0]=0;
325     for (i=1;i<pcis->n_neigh;i++) {
326       partial_sum += pcis->n_shared[i];
327       ptrs_buffer[i] = ptrs_buffer[i-1]+pcis->n_shared[i];
328     }
329     ierr = PetscMalloc1(partial_sum,&send_buffer);CHKERRQ(ierr);
330     ierr = PetscMalloc1(partial_sum,&recv_buffer);CHKERRQ(ierr);
331     ierr = PetscMalloc1(partial_sum,&all_factors[0]);CHKERRQ(ierr);
332     for (i=0;i<pcis->n-1;i++) {
333       j = mat_graph->count[i];
334       all_factors[i+1]=all_factors[i]+j;
335     }
336 
337     /* scatter B scaling to N vec */
338     ierr = VecScatterBegin(pcis->N_to_B,pcis->D,pcis->vec1_N,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
339     ierr = VecScatterEnd(pcis->N_to_B,pcis->D,pcis->vec1_N,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
340     /* communications */
341     ierr = VecGetArrayRead(pcis->vec1_N,(const PetscScalar**)&array);CHKERRQ(ierr);
342     for (i=1;i<pcis->n_neigh;i++) {
343       for (j=0;j<pcis->n_shared[i];j++) {
344         send_buffer[ptrs_buffer[i-1]+j]=array[pcis->shared[i][j]];
345       }
346       ierr = PetscMPIIntCast(ptrs_buffer[i]-ptrs_buffer[i-1],&buf_size);CHKERRQ(ierr);
347       ierr = PetscMPIIntCast(pcis->neigh[i],&neigh);CHKERRQ(ierr);
348       ierr = MPI_Isend(&send_buffer[ptrs_buffer[i-1]],buf_size,MPIU_SCALAR,neigh,0,comm,&send_reqs[i-1]);CHKERRQ(ierr);
349       ierr = MPI_Irecv(&recv_buffer[ptrs_buffer[i-1]],buf_size,MPIU_SCALAR,neigh,0,comm,&recv_reqs[i-1]);CHKERRQ(ierr);
350     }
351     ierr = VecRestoreArrayRead(pcis->vec1_N,(const PetscScalar**)&array);CHKERRQ(ierr);
352     if (pcis->n_neigh > 0) {
353       ierr = MPI_Waitall(pcis->n_neigh-1,recv_reqs,MPI_STATUSES_IGNORE);CHKERRQ(ierr);
354     }
355     /* put values in correct places */
356     for (i=1;i<pcis->n_neigh;i++) {
357       for (j=0;j<pcis->n_shared[i];j++) {
358         k = pcis->shared[i][j];
359         neigh_position = 0;
360         while(mat_graph->neighbours_set[k][neigh_position] != pcis->neigh[i]) {neigh_position++;}
361         all_factors[k][neigh_position]=recv_buffer[ptrs_buffer[i-1]+j];
362       }
363     }
364     if (pcis->n_neigh > 0) {
365       ierr = MPI_Waitall(pcis->n_neigh-1,send_reqs,MPI_STATUSES_IGNORE);CHKERRQ(ierr);
366     }
367     ierr = PetscFree(send_reqs);CHKERRQ(ierr);
368     ierr = PetscFree(recv_reqs);CHKERRQ(ierr);
369     ierr = PetscFree(send_buffer);CHKERRQ(ierr);
370     ierr = PetscFree(recv_buffer);CHKERRQ(ierr);
371     ierr = PetscFree(ptrs_buffer);CHKERRQ(ierr);
372   }
373 
374   /* Compute B and B_delta (local actions) */
375   ierr = PetscMalloc1(pcis->n_neigh,&aux_sums);CHKERRQ(ierr);
376   ierr = PetscMalloc1(n_local_lambda,&l2g_indices);CHKERRQ(ierr);
377   ierr = PetscMalloc1(n_local_lambda,&vals_B_delta);CHKERRQ(ierr);
378   ierr = PetscMalloc1(n_local_lambda,&cols_B_delta);CHKERRQ(ierr);
379   if (!pcbddc->use_deluxe_scaling) {
380     ierr = PetscMalloc1(n_local_lambda,&scaling_factors);CHKERRQ(ierr);
381   } else {
382     scaling_factors = NULL;
383     all_factors     = NULL;
384   }
385   ierr = ISGetIndices(subset_n,&aux_global_numbering);CHKERRQ(ierr);
386   partial_sum=0;
387   cum = 0;
388   for (i=0;i<dual_size;i++) {
389     n_global_lambda = aux_global_numbering[cum];
390     j = mat_graph->count[aux_local_numbering_1[i]];
391     aux_sums[0]=0;
392     for (s=1;s<j;s++) {
393       aux_sums[s]=aux_sums[s-1]+j-s+1;
394     }
395     if (all_factors) array = all_factors[aux_local_numbering_1[i]];
396     n_neg_values = 0;
397     while(n_neg_values < j && mat_graph->neighbours_set[aux_local_numbering_1[i]][n_neg_values] < rank) {n_neg_values++;}
398     n_pos_values = j - n_neg_values;
399     if (fully_redundant) {
400       for (s=0;s<n_neg_values;s++) {
401         l2g_indices    [partial_sum+s]=aux_sums[s]+n_neg_values-s-1+n_global_lambda;
402         cols_B_delta   [partial_sum+s]=dual_dofs_boundary_indices[i];
403         vals_B_delta   [partial_sum+s]=-1.0;
404         if (!pcbddc->use_deluxe_scaling) scaling_factors[partial_sum+s]=array[s];
405       }
406       for (s=0;s<n_pos_values;s++) {
407         l2g_indices    [partial_sum+s+n_neg_values]=aux_sums[n_neg_values]+s+n_global_lambda;
408         cols_B_delta   [partial_sum+s+n_neg_values]=dual_dofs_boundary_indices[i];
409         vals_B_delta   [partial_sum+s+n_neg_values]=1.0;
410         if (!pcbddc->use_deluxe_scaling) scaling_factors[partial_sum+s+n_neg_values]=array[s+n_neg_values];
411       }
412       partial_sum += j;
413     } else {
414       /* l2g_indices and default cols and vals of B_delta */
415       for (s=0;s<j;s++) {
416         l2g_indices    [partial_sum+s]=n_global_lambda+s;
417         cols_B_delta   [partial_sum+s]=dual_dofs_boundary_indices[i];
418         vals_B_delta   [partial_sum+s]=0.0;
419       }
420       /* B_delta */
421       if ( n_neg_values > 0 ) { /* there's a rank next to me to the left */
422         vals_B_delta   [partial_sum+n_neg_values-1]=-1.0;
423       }
424       if ( n_neg_values < j ) { /* there's a rank next to me to the right */
425         vals_B_delta   [partial_sum+n_neg_values]=1.0;
426       }
427       /* scaling as in Klawonn-Widlund 1999 */
428       if (!pcbddc->use_deluxe_scaling) {
429         for (s=0;s<n_neg_values;s++) {
430           scalar_value = 0.0;
431           for (k=0;k<s+1;k++) scalar_value += array[k];
432           scaling_factors[partial_sum+s] = -scalar_value;
433         }
434         for (s=0;s<n_pos_values;s++) {
435           scalar_value = 0.0;
436           for (k=s+n_neg_values;k<j;k++) scalar_value += array[k];
437           scaling_factors[partial_sum+s+n_neg_values] = scalar_value;
438         }
439       }
440       partial_sum += j;
441     }
442     cum += aux_local_numbering_2[i];
443   }
444   ierr = ISRestoreIndices(subset_n,&aux_global_numbering);CHKERRQ(ierr);
445   ierr = ISDestroy(&subset_mult);CHKERRQ(ierr);
446   ierr = ISDestroy(&subset_n);CHKERRQ(ierr);
447   ierr = PetscFree(aux_sums);CHKERRQ(ierr);
448   ierr = PetscFree(aux_local_numbering_1);CHKERRQ(ierr);
449   ierr = PetscFree(dual_dofs_boundary_indices);CHKERRQ(ierr);
450   if (all_factors) {
451     ierr = PetscFree(all_factors[0]);CHKERRQ(ierr);
452     ierr = PetscFree(all_factors);CHKERRQ(ierr);
453   }
454 
455   /* Create local part of B_delta */
456   ierr = MatCreate(PETSC_COMM_SELF,&fetidpmat_ctx->B_delta);CHKERRQ(ierr);
457   ierr = MatSetSizes(fetidpmat_ctx->B_delta,n_local_lambda,pcis->n_B,n_local_lambda,pcis->n_B);CHKERRQ(ierr);
458   ierr = MatSetType(fetidpmat_ctx->B_delta,MATSEQAIJ);CHKERRQ(ierr);
459   ierr = MatSeqAIJSetPreallocation(fetidpmat_ctx->B_delta,1,NULL);CHKERRQ(ierr);
460   ierr = MatSetOption(fetidpmat_ctx->B_delta,MAT_IGNORE_ZERO_ENTRIES,PETSC_TRUE);CHKERRQ(ierr);
461   for (i=0;i<n_local_lambda;i++) {
462     ierr = MatSetValue(fetidpmat_ctx->B_delta,i,cols_B_delta[i],vals_B_delta[i],INSERT_VALUES);CHKERRQ(ierr);
463   }
464   ierr = PetscFree(vals_B_delta);CHKERRQ(ierr);
465   ierr = MatAssemblyBegin(fetidpmat_ctx->B_delta,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
466   ierr = MatAssemblyEnd(fetidpmat_ctx->B_delta,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
467 
468   BD1 = NULL;
469   BD2 = NULL;
470   if (fully_redundant) {
471     if (pcbddc->use_deluxe_scaling) SETERRQ(comm,PETSC_ERR_SUP,"Deluxe FETIDP with fully-redundant multipliers to be implemented");
472     ierr = MatCreate(PETSC_COMM_SELF,&ScalingMat);CHKERRQ(ierr);
473     ierr = MatSetSizes(ScalingMat,n_local_lambda,n_local_lambda,n_local_lambda,n_local_lambda);CHKERRQ(ierr);
474     ierr = MatSetType(ScalingMat,MATSEQAIJ);CHKERRQ(ierr);
475     ierr = MatSeqAIJSetPreallocation(ScalingMat,1,NULL);CHKERRQ(ierr);
476     for (i=0;i<n_local_lambda;i++) {
477       ierr = MatSetValue(ScalingMat,i,i,scaling_factors[i],INSERT_VALUES);CHKERRQ(ierr);
478     }
479     ierr = MatAssemblyBegin(ScalingMat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
480     ierr = MatAssemblyEnd(ScalingMat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
481     ierr = MatMatMult(ScalingMat,fetidpmat_ctx->B_delta,MAT_INITIAL_MATRIX,PETSC_DEFAULT,&fetidpmat_ctx->B_Ddelta);CHKERRQ(ierr);
482     ierr = MatDestroy(&ScalingMat);CHKERRQ(ierr);
483   } else {
484     ierr = MatCreate(PETSC_COMM_SELF,&fetidpmat_ctx->B_Ddelta);CHKERRQ(ierr);
485     ierr = MatSetSizes(fetidpmat_ctx->B_Ddelta,n_local_lambda,pcis->n_B,n_local_lambda,pcis->n_B);CHKERRQ(ierr);
486     if (!pcbddc->use_deluxe_scaling) {
487       ierr = MatSetType(fetidpmat_ctx->B_Ddelta,MATSEQAIJ);CHKERRQ(ierr);
488       ierr = MatSeqAIJSetPreallocation(fetidpmat_ctx->B_Ddelta,1,NULL);CHKERRQ(ierr);
489       for (i=0;i<n_local_lambda;i++) {
490         ierr = MatSetValue(fetidpmat_ctx->B_Ddelta,i,cols_B_delta[i],scaling_factors[i],INSERT_VALUES);CHKERRQ(ierr);
491       }
492       ierr = MatAssemblyBegin(fetidpmat_ctx->B_Ddelta,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
493       ierr = MatAssemblyEnd(fetidpmat_ctx->B_Ddelta,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
494     } else {
495       /* scaling as in Klawonn-Widlund 1999 */
496       PCBDDCDeluxeScaling deluxe_ctx = pcbddc->deluxe_ctx;
497       PCBDDCSubSchurs     sub_schurs = pcbddc->sub_schurs;
498       Mat                 T;
499       PetscScalar         *W,lwork,*Bwork;
500       const PetscInt      *idxs;
501       PetscInt            cum,mss,*nnz;
502       PetscBLASInt        *pivots,B_lwork,B_N,B_ierr;
503 
504       if (!pcbddc->deluxe_singlemat) SETERRQ(comm,PETSC_ERR_USER,"Cannot compute B_Ddelta! rerun with -pc_bddc_deluxe_singlemat");
505       if (deluxe_ctx->change) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Cannot compute B_Ddelta with deluxe scaling with active change context");
506 
507       mss  = 0;
508       ierr = PetscCalloc1(pcis->n_B,&nnz);CHKERRQ(ierr);
509       if (sub_schurs->is_Ej_all) {
510         ierr = ISGetIndices(sub_schurs->is_Ej_all,&idxs);CHKERRQ(ierr);
511         for (i=0,cum=0;i<sub_schurs->n_subs;i++) {
512           PetscInt subset_size;
513 
514           ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr);
515           for (j=0;j<subset_size;j++) nnz[idxs[j+cum]] = subset_size;
516           mss  = PetscMax(mss,subset_size);
517           cum += subset_size;
518         }
519       }
520       ierr = MatCreate(PETSC_COMM_SELF,&T);CHKERRQ(ierr);
521       ierr = MatSetSizes(T,pcis->n_B,pcis->n_B,pcis->n_B,pcis->n_B);CHKERRQ(ierr);
522       ierr = MatSetType(T,MATSEQAIJ);CHKERRQ(ierr);
523       ierr = MatSeqAIJSetPreallocation(T,0,nnz);CHKERRQ(ierr);
524       ierr = PetscFree(nnz);CHKERRQ(ierr);
525 
526       /* workspace allocation */
527       B_lwork = 0;
528       if (mss) {
529         PetscScalar dummy = 1;
530 
531         B_lwork = -1;
532         ierr = PetscBLASIntCast(mss,&B_N);CHKERRQ(ierr);
533         ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
534         PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,&dummy,&B_N,&B_N,&lwork,&B_lwork,&B_ierr));
535         ierr = PetscFPTrapPop();CHKERRQ(ierr);
536         if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in query to GETRI Lapack routine %d",(int)B_ierr);
537         ierr = PetscBLASIntCast((PetscInt)PetscRealPart(lwork),&B_lwork);CHKERRQ(ierr);
538       }
539       ierr = PetscMalloc3(mss*mss,&W,mss,&pivots,B_lwork,&Bwork);CHKERRQ(ierr);
540 
541       for (i=0,cum=0;i<sub_schurs->n_subs;i++) {
542         PetscScalar  *M;
543         PetscInt     subset_size;
544 
545         ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr);
546         ierr = PetscBLASIntCast(subset_size,&B_N);CHKERRQ(ierr);
547         ierr = MatDenseGetArray(deluxe_ctx->seq_mat[i],&M);CHKERRQ(ierr);
548         ierr = PetscMemcpy(W,M,subset_size*subset_size*sizeof(PetscScalar));CHKERRQ(ierr);
549         ierr = MatDenseRestoreArray(deluxe_ctx->seq_mat[i],&M);CHKERRQ(ierr);
550         ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
551         PetscStackCallBLAS("LAPACKgetrf",LAPACKgetrf_(&B_N,&B_N,W,&B_N,pivots,&B_ierr));
552         if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRF Lapack routine %d",(int)B_ierr);
553         PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,W,&B_N,pivots,Bwork,&B_lwork,&B_ierr));
554         if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRI Lapack routine %d",(int)B_ierr);
555         ierr = PetscFPTrapPop();CHKERRQ(ierr);
556         ierr = MatSetValues(T,subset_size,idxs+cum,subset_size,idxs+cum,W,INSERT_VALUES);CHKERRQ(ierr);
557         cum += subset_size;
558       }
559       ierr = MatAssemblyBegin(T,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
560       ierr = MatAssemblyEnd(T,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
561       ierr = MatMatTransposeMult(T,fetidpmat_ctx->B_delta,MAT_INITIAL_MATRIX,PETSC_DEFAULT,&BD1);CHKERRQ(ierr);
562       ierr = MatMatMult(fetidpmat_ctx->B_delta,BD1,MAT_INITIAL_MATRIX,PETSC_DEFAULT,&BD2);CHKERRQ(ierr);
563       ierr = MatDestroy(&T);CHKERRQ(ierr);
564       ierr = PetscFree3(W,pivots,Bwork);CHKERRQ(ierr);
565       if (sub_schurs->is_Ej_all) {
566         ierr = ISRestoreIndices(sub_schurs->is_Ej_all,&idxs);CHKERRQ(ierr);
567       }
568     }
569   }
570   ierr = PetscFree(scaling_factors);CHKERRQ(ierr);
571   ierr = PetscFree(cols_B_delta);CHKERRQ(ierr);
572 
573   /* Layout of multipliers */
574   ierr = PetscLayoutCreate(comm,&llay);CHKERRQ(ierr);
575   ierr = PetscLayoutSetBlockSize(llay,1);CHKERRQ(ierr);
576   ierr = PetscLayoutSetSize(llay,fetidpmat_ctx->n_lambda);CHKERRQ(ierr);
577   ierr = PetscLayoutSetUp(llay);CHKERRQ(ierr);
578   ierr = PetscLayoutGetLocalSize(llay,&fetidpmat_ctx->n);CHKERRQ(ierr);
579 
580   /* Local work vector of multipliers */
581   ierr = VecCreate(PETSC_COMM_SELF,&fetidpmat_ctx->lambda_local);CHKERRQ(ierr);
582   ierr = VecSetSizes(fetidpmat_ctx->lambda_local,n_local_lambda,n_local_lambda);CHKERRQ(ierr);
583   ierr = VecSetType(fetidpmat_ctx->lambda_local,VECSEQ);CHKERRQ(ierr);
584 
585   if (BD2) {
586     ISLocalToGlobalMapping l2g;
587     Mat                    T,TA,*pT;
588     IS                     is;
589     PetscInt               nl,N;
590     BDdelta_DN             ctx;
591 
592     ierr = PetscLayoutGetLocalSize(llay,&nl);CHKERRQ(ierr);
593     ierr = PetscLayoutGetSize(llay,&N);CHKERRQ(ierr);
594     ierr = MatCreate(comm,&T);CHKERRQ(ierr);
595     ierr = MatSetSizes(T,nl,nl,N,N);CHKERRQ(ierr);
596     ierr = MatSetType(T,MATIS);CHKERRQ(ierr);
597     ierr = ISLocalToGlobalMappingCreate(comm,1,n_local_lambda,l2g_indices,PETSC_COPY_VALUES,&l2g);CHKERRQ(ierr);
598     ierr = MatSetLocalToGlobalMapping(T,l2g,l2g);CHKERRQ(ierr);
599     ierr = ISLocalToGlobalMappingDestroy(&l2g);CHKERRQ(ierr);
600     ierr = MatISSetLocalMat(T,BD2);CHKERRQ(ierr);
601     ierr = MatDestroy(&BD2);CHKERRQ(ierr);
602     ierr = MatISGetMPIXAIJ(T,MAT_INITIAL_MATRIX,&TA);CHKERRQ(ierr);
603     ierr = MatDestroy(&T);CHKERRQ(ierr);
604     ierr = ISCreateGeneral(comm,n_local_lambda,l2g_indices,PETSC_USE_POINTER,&is);CHKERRQ(ierr);
605     ierr = MatGetSubMatrices(TA,1,&is,&is,MAT_INITIAL_MATRIX,&pT);CHKERRQ(ierr);
606     ierr = MatDestroy(&TA);CHKERRQ(ierr);
607     ierr = ISDestroy(&is);CHKERRQ(ierr);
608     BD2  = pT[0];
609     ierr = PetscFree(pT);CHKERRQ(ierr);
610 
611     /* B_Ddelta for non-redundant multipliers with deluxe scaling */
612     ierr = PetscNew(&ctx);CHKERRQ(ierr);
613     ierr = MatSetType(fetidpmat_ctx->B_Ddelta,MATSHELL);CHKERRQ(ierr);
614     ierr = MatShellSetContext(fetidpmat_ctx->B_Ddelta,(void *)ctx);CHKERRQ(ierr);
615     ierr = MatShellSetOperation(fetidpmat_ctx->B_Ddelta,MATOP_MULT,(void (*)(void))MatMult_BDdelta_deluxe_nonred);CHKERRQ(ierr);
616     ierr = MatShellSetOperation(fetidpmat_ctx->B_Ddelta,MATOP_MULT_TRANSPOSE,(void (*)(void))MatMultTranspose_BDdelta_deluxe_nonred);CHKERRQ(ierr);
617     ierr = MatShellSetOperation(fetidpmat_ctx->B_Ddelta,MATOP_DESTROY,(void (*)(void))MatDestroy_BDdelta_deluxe_nonred);CHKERRQ(ierr);
618     ierr = MatSetUp(fetidpmat_ctx->B_Ddelta);CHKERRQ(ierr);
619 
620     ierr = PetscObjectReference((PetscObject)BD1);CHKERRQ(ierr);
621     ctx->BD = BD1;
622     ierr = KSPCreate(PETSC_COMM_SELF,&ctx->kBD);CHKERRQ(ierr);
623     ierr = KSPSetOperators(ctx->kBD,BD2,BD2);CHKERRQ(ierr);
624     ierr = VecDuplicate(fetidpmat_ctx->lambda_local,&ctx->work);CHKERRQ(ierr);
625     fetidpmat_ctx->deluxe_nonred = PETSC_TRUE;
626   }
627   ierr = MatDestroy(&BD1);CHKERRQ(ierr);
628   ierr = MatDestroy(&BD2);CHKERRQ(ierr);
629 
630   /* fetidpmat sizes */
631   fetidpmat_ctx->n += nPgl;
632   fetidpmat_ctx->N  = fetidpmat_ctx->n_lambda+nPg;
633 
634   /* Global vector for FETI-DP linear system */
635   ierr = VecCreate(comm,&fetidp_global);CHKERRQ(ierr);
636   ierr = VecSetSizes(fetidp_global,fetidpmat_ctx->n,fetidpmat_ctx->N);CHKERRQ(ierr);
637   ierr = VecSetType(fetidp_global,VECMPI);CHKERRQ(ierr);
638   ierr = VecSetUp(fetidp_global);CHKERRQ(ierr);
639 
640   /* Decide layout for fetidp dofs: if it is a saddle point problem
641      pressure is ordered first in the local part of the global vector
642      of the FETI-DP linear system */
643   if (nPg) {
644     IS             IS_l2g_p,ais;
645     PetscLayout    alay;
646     const PetscInt *idxs,*pranges,*aranges,*lranges;
647     PetscInt       *l2g_indices_p,rst;
648 
649     ierr = PetscMalloc1(nPl,&l2g_indices_p);CHKERRQ(ierr);
650     ierr = VecGetLayout(fetidp_global,&alay);CHKERRQ(ierr);
651     ierr = PetscLayoutGetRanges(alay,&aranges);CHKERRQ(ierr);
652     ierr = PetscLayoutGetRanges(play,&pranges);CHKERRQ(ierr);
653     ierr = PetscLayoutGetRanges(llay,&lranges);CHKERRQ(ierr);
654     ierr = ISLocalToGlobalMappingGetIndices(l2gmap_p,&idxs);CHKERRQ(ierr);
655     /* shift local to global indices for pressure */
656     for (i=0;i<nPl;i++) {
657       PetscInt owner;
658 
659       ierr = PetscLayoutFindOwner(play,idxs[i],&owner);CHKERRQ(ierr);
660       l2g_indices_p[i] = idxs[i]-pranges[owner]+aranges[owner];
661     }
662     ierr = ISLocalToGlobalMappingRestoreIndices(l2gmap_p,&idxs);CHKERRQ(ierr);
663     ierr = ISCreateGeneral(comm,nPl,l2g_indices_p,PETSC_OWN_POINTER,&IS_l2g_p);CHKERRQ(ierr);
664 
665     /* local to global scatter for interface pressure */
666     ierr = VecScatterCreate(fetidpmat_ctx->vP,NULL,fetidp_global,IS_l2g_p,&fetidpmat_ctx->l2g_p);CHKERRQ(ierr);
667     ierr = ISDestroy(&IS_l2g_p);CHKERRQ(ierr);
668 
669     /* shift local to global indices for multipliers */
670     for (i=0;i<n_local_lambda;i++) {
671       PetscInt owner,ps;
672 
673       ierr = PetscLayoutFindOwner(llay,l2g_indices[i],&owner);CHKERRQ(ierr);
674       ps = pranges[owner+1]-pranges[owner];
675       l2g_indices[i] = l2g_indices[i]-lranges[owner]+aranges[owner]+ps;
676     }
677 
678     /* scatter from alldofs to interface pressures global fetidp vector */
679     ierr = PetscLayoutGetRange(alay,&rst,NULL);CHKERRQ(ierr);
680     ierr = ISCreateStride(comm,nPgl,rst,1,&ais);CHKERRQ(ierr);
681     ierr = VecScatterCreate(pcis->vec1_global,pP,fetidp_global,ais,&fetidpmat_ctx->g2g_p);CHKERRQ(ierr);
682     ierr = ISDestroy(&ais);CHKERRQ(ierr);
683   }
684   ierr = PetscLayoutDestroy(&llay);CHKERRQ(ierr);
685   ierr = PetscLayoutDestroy(&play);CHKERRQ(ierr);
686   ierr = ISCreateGeneral(comm,n_local_lambda,l2g_indices,PETSC_OWN_POINTER,&IS_l2g_lambda);CHKERRQ(ierr);
687 
688   /* scatter from local to global multipliers */
689   ierr = VecScatterCreate(fetidpmat_ctx->lambda_local,NULL,fetidp_global,IS_l2g_lambda,&fetidpmat_ctx->l2g_lambda);CHKERRQ(ierr);
690   ierr = ISDestroy(&IS_l2g_lambda);CHKERRQ(ierr);
691   ierr = ISLocalToGlobalMappingDestroy(&l2gmap_p);CHKERRQ(ierr);
692   ierr = VecDestroy(&fetidp_global);CHKERRQ(ierr);
693 
694   /* Create some work vectors needed by fetidp */
695   ierr = VecDuplicate(pcis->vec1_B,&fetidpmat_ctx->temp_solution_B);CHKERRQ(ierr);
696   ierr = VecDuplicate(pcis->vec1_D,&fetidpmat_ctx->temp_solution_D);CHKERRQ(ierr);
697   PetscFunctionReturn(0);
698 }
699 
700 
701 #undef __FUNCT__
702 #define __FUNCT__ "PCBDDCSetupFETIDPPCContext"
703 PetscErrorCode PCBDDCSetupFETIDPPCContext(Mat fetimat, FETIDPPC_ctx fetidppc_ctx)
704 {
705   FETIDPMat_ctx  mat_ctx;
706   PC_BDDC        *pcbddc = (PC_BDDC*)fetidppc_ctx->pc->data;
707   PC_IS          *pcis = (PC_IS*)fetidppc_ctx->pc->data;
708   PetscBool      lumped = PETSC_FALSE;
709   PetscErrorCode ierr;
710 
711   PetscFunctionBegin;
712   ierr = MatShellGetContext(fetimat,(void**)&mat_ctx);CHKERRQ(ierr);
713   /* get references from objects created when setting up feti mat context */
714   ierr = PetscObjectReference((PetscObject)mat_ctx->lambda_local);CHKERRQ(ierr);
715   fetidppc_ctx->lambda_local = mat_ctx->lambda_local;
716   ierr = PetscObjectReference((PetscObject)mat_ctx->B_Ddelta);CHKERRQ(ierr);
717   fetidppc_ctx->B_Ddelta = mat_ctx->B_Ddelta;
718   if (mat_ctx->deluxe_nonred) {
719     PC               pc,mpc;
720     BDdelta_DN       ctx;
721     MatSolverPackage solver;
722     const char       *prefix;
723 
724     ierr = MatShellGetContext(mat_ctx->B_Ddelta,&ctx);CHKERRQ(ierr);
725     ierr = KSPSetType(ctx->kBD,KSPPREONLY);CHKERRQ(ierr);
726     ierr = KSPGetPC(ctx->kBD,&mpc);CHKERRQ(ierr);
727     ierr = KSPGetPC(pcbddc->ksp_D,&pc);CHKERRQ(ierr);
728     ierr = PCSetType(mpc,PCLU);CHKERRQ(ierr);
729     ierr = PCFactorGetMatSolverPackage(pc,(const MatSolverPackage*)&solver);CHKERRQ(ierr);
730     if (solver) {
731       ierr = PCFactorSetMatSolverPackage(mpc,solver);CHKERRQ(ierr);
732     }
733     ierr = MatGetOptionsPrefix(fetimat,&prefix);CHKERRQ(ierr);
734     ierr = KSPSetOptionsPrefix(ctx->kBD,prefix);CHKERRQ(ierr);
735     ierr = KSPAppendOptionsPrefix(ctx->kBD,"bddelta_");CHKERRQ(ierr);
736     ierr = KSPSetFromOptions(ctx->kBD);CHKERRQ(ierr);
737   }
738 
739   ierr = PetscObjectReference((PetscObject)mat_ctx->l2g_lambda);CHKERRQ(ierr);
740   fetidppc_ctx->l2g_lambda = mat_ctx->l2g_lambda;
741   /* Dirichlet preconditioner */
742   ierr = PetscOptionsGetBool(NULL,((PetscObject)fetimat)->prefix,"-pc_lumped",&lumped,NULL);CHKERRQ(ierr);
743   if (!lumped) {
744     IS        iP;
745     PetscBool discrete_harmonic = PETSC_FALSE;
746 
747     ierr = PetscObjectQuery((PetscObject)fetidppc_ctx->pc,"__KSPFETIDP_iP",(PetscObject*)&iP);CHKERRQ(ierr);
748     if (iP) {
749       ierr = PetscOptionsGetBool(NULL,((PetscObject)fetimat)->prefix,"-pc_discrete_harmonic",&discrete_harmonic,NULL);CHKERRQ(ierr);
750     }
751     if (discrete_harmonic) {
752       KSP        sksp;
753       PC         pc;
754       Mat        A_II,A_IB,A_BI;
755       IS         aB;
756       PetscInt   nb;
757       PetscBool  isshell;
758       KSPType    ksptype;
759       const char *prefix;
760 
761       /*
762         We constructs a Schur complement for
763 
764         | A_II A_ID |
765         | A_DI A_DD |
766 
767         instead of
768 
769         | A_II  B^t_II A_ID |
770         | B_II -C_II   B_ID |
771         | A_DI  B^t_ID A_DD |
772 
773       */
774       ierr = ISGetLocalSize(pcis->is_B_local,&nb);CHKERRQ(ierr);
775       ierr = ISCreateStride(PetscObjectComm((PetscObject)pcis->A_II),nb,0,1,&aB);CHKERRQ(ierr);
776       ierr = MatGetSubMatrix(pcis->A_II,iP,iP,MAT_INITIAL_MATRIX,&A_II);CHKERRQ(ierr);
777       ierr = MatGetSubMatrix(pcis->A_IB,iP,aB,MAT_INITIAL_MATRIX,&A_IB);CHKERRQ(ierr);
778       ierr = MatGetSubMatrix(pcis->A_BI,aB,iP,MAT_INITIAL_MATRIX,&A_BI);CHKERRQ(ierr);
779       ierr = MatCreateSchurComplement(A_II,A_II,A_IB,A_BI,pcis->A_BB,&fetidppc_ctx->S_j);CHKERRQ(ierr);
780 
781       /* propagate settings of solver */
782       ierr = MatSchurComplementGetKSP(fetidppc_ctx->S_j,&sksp);CHKERRQ(ierr);
783       ierr = KSPGetType(pcis->ksp_D,&ksptype);CHKERRQ(ierr);
784       ierr = KSPSetType(sksp,ksptype);CHKERRQ(ierr);
785       ierr = KSPGetPC(pcis->ksp_D,&pc);CHKERRQ(ierr);
786       ierr = PetscObjectTypeCompare((PetscObject)pc,PCSHELL,&isshell);CHKERRQ(ierr);
787       if (!isshell) {
788         MatSolverPackage solver;
789         PCType           pctype;
790 
791         ierr = PCGetType(pc,&pctype);CHKERRQ(ierr);
792         ierr = PCFactorGetMatSolverPackage(pc,(const MatSolverPackage*)&solver);CHKERRQ(ierr);
793         ierr = KSPGetPC(sksp,&pc);CHKERRQ(ierr);
794         ierr = PCSetType(pc,pctype);CHKERRQ(ierr);
795         if (solver) {
796           ierr = PCFactorSetMatSolverPackage(pc,solver);CHKERRQ(ierr);
797         }
798       } else {
799         ierr = KSPGetPC(sksp,&pc);CHKERRQ(ierr);
800         ierr = PCSetType(pc,PCLU);CHKERRQ(ierr);
801       }
802       ierr = MatDestroy(&A_II);CHKERRQ(ierr);
803       ierr = MatDestroy(&A_IB);CHKERRQ(ierr);
804       ierr = MatDestroy(&A_BI);CHKERRQ(ierr);
805       ierr = ISDestroy(&aB);CHKERRQ(ierr);
806       ierr = MatGetOptionsPrefix(fetimat,&prefix);CHKERRQ(ierr);
807       ierr = KSPSetOptionsPrefix(sksp,prefix);CHKERRQ(ierr);
808       ierr = KSPAppendOptionsPrefix(sksp,"harmonic_");CHKERRQ(ierr);
809       ierr = KSPSetFromOptions(sksp);CHKERRQ(ierr);
810     } else { /* default Dirichlet preconditioner is pde-harmonic */
811       ierr = MatCreateSchurComplement(pcis->A_II,pcis->A_II,pcis->A_IB,pcis->A_BI,pcis->A_BB,&fetidppc_ctx->S_j);CHKERRQ(ierr);
812       ierr = MatSchurComplementSetKSP(fetidppc_ctx->S_j,pcis->ksp_D);CHKERRQ(ierr);
813     }
814   } else {
815     ierr = PetscObjectReference((PetscObject)pcis->A_BB);CHKERRQ(ierr);
816     fetidppc_ctx->S_j = pcis->A_BB;
817   }
818   /* saddle-point */
819   if (mat_ctx->xPg) {
820     ierr = PetscObjectReference((PetscObject)mat_ctx->xPg);CHKERRQ(ierr);
821     fetidppc_ctx->xPg = mat_ctx->xPg;
822     ierr = PetscObjectReference((PetscObject)mat_ctx->yPg);CHKERRQ(ierr);
823     fetidppc_ctx->yPg = mat_ctx->yPg;
824     ierr = PetscObjectQuery((PetscObject)fetidppc_ctx->pc,"__KSPFETIDP_PKSP",(PetscObject*)&fetidppc_ctx->kP);CHKERRQ(ierr);
825     ierr = PetscObjectReference((PetscObject)fetidppc_ctx->kP);CHKERRQ(ierr);
826   }
827   PetscFunctionReturn(0);
828 }
829 
830 #undef __FUNCT__
831 #define __FUNCT__ "FETIDPMatMult"
832 PetscErrorCode FETIDPMatMult(Mat fetimat, Vec x, Vec y)
833 {
834   FETIDPMat_ctx  mat_ctx;
835   PC_BDDC        *pcbddc;
836   PC_IS          *pcis;
837   PetscErrorCode ierr;
838 
839   PetscFunctionBegin;
840   ierr = MatShellGetContext(fetimat,(void**)&mat_ctx);CHKERRQ(ierr);
841   pcis = (PC_IS*)mat_ctx->pc->data;
842   pcbddc = (PC_BDDC*)mat_ctx->pc->data;
843   /* Application of B_delta^T */
844   ierr = VecSet(pcis->vec1_B,0.);CHKERRQ(ierr);
845   ierr = VecScatterBegin(mat_ctx->l2g_lambda,x,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
846   ierr = VecScatterEnd(mat_ctx->l2g_lambda,x,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
847   ierr = MatMultTranspose(mat_ctx->B_delta,mat_ctx->lambda_local,pcis->vec1_B);CHKERRQ(ierr);
848 
849   /* Add contribution from saddle point */
850   if (mat_ctx->l2g_p) {
851     ierr = VecScatterBegin(mat_ctx->l2g_p,x,mat_ctx->vP,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
852     ierr = VecScatterEnd(mat_ctx->l2g_p,x,mat_ctx->vP,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
853     if (pcbddc->switch_static) {
854       ierr = MatMult(mat_ctx->Bt_BI,mat_ctx->vP,pcis->vec1_D);CHKERRQ(ierr);
855     }
856     ierr = MatMultAdd(mat_ctx->Bt_BB,mat_ctx->vP,pcis->vec1_B,pcis->vec1_B);CHKERRQ(ierr);
857   } else {
858     if (pcbddc->switch_static) {
859       ierr = VecSet(pcis->vec1_D,0.0);CHKERRQ(ierr);
860     }
861   }
862   /* Application of \widetilde{S}^-1 */
863   ierr = PetscMemzero(pcbddc->benign_p0,pcbddc->benign_n*sizeof(PetscScalar));CHKERRQ(ierr);
864   ierr = PCBDDCApplyInterfacePreconditioner(mat_ctx->pc,PETSC_FALSE);CHKERRQ(ierr);
865   ierr = PetscMemzero(pcbddc->benign_p0,pcbddc->benign_n*sizeof(PetscScalar));CHKERRQ(ierr);
866   ierr = VecSet(y,0.0);CHKERRQ(ierr);
867   /* Application of B_delta */
868   ierr = MatMult(mat_ctx->B_delta,pcis->vec1_B,mat_ctx->lambda_local);CHKERRQ(ierr);
869   /* Contribution from boundary pressures */
870   if (mat_ctx->C) {
871     const PetscScalar *lx;
872     PetscScalar       *ly;
873 
874     /* pressures ordered first in x and y */
875     ierr = VecGetArrayRead(x,&lx);CHKERRQ(ierr);
876     ierr = VecGetArray(y,&ly);CHKERRQ(ierr);
877     ierr = VecPlaceArray(mat_ctx->xPg,lx);CHKERRQ(ierr);
878     ierr = VecPlaceArray(mat_ctx->yPg,ly);CHKERRQ(ierr);
879     ierr = MatMult(mat_ctx->C,mat_ctx->xPg,mat_ctx->yPg);CHKERRQ(ierr);
880     ierr = VecResetArray(mat_ctx->xPg);CHKERRQ(ierr);
881     ierr = VecResetArray(mat_ctx->yPg);CHKERRQ(ierr);
882     ierr = VecRestoreArrayRead(x,&lx);CHKERRQ(ierr);
883     ierr = VecRestoreArray(y,&ly);CHKERRQ(ierr);
884   }
885   /* Add contribution from saddle point */
886   if (mat_ctx->l2g_p) {
887     ierr = MatMult(mat_ctx->B_BB,pcis->vec1_B,mat_ctx->vP);CHKERRQ(ierr);
888     if (pcbddc->switch_static) {
889       ierr = MatMultAdd(mat_ctx->B_BI,pcis->vec1_D,mat_ctx->vP,mat_ctx->vP);CHKERRQ(ierr);
890     }
891     ierr = VecScatterBegin(mat_ctx->l2g_p,mat_ctx->vP,y,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
892     ierr = VecScatterEnd(mat_ctx->l2g_p,mat_ctx->vP,y,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
893   }
894   ierr = VecScatterBegin(mat_ctx->l2g_lambda,mat_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
895   ierr = VecScatterEnd(mat_ctx->l2g_lambda,mat_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
896   PetscFunctionReturn(0);
897 }
898 
899 #undef __FUNCT__
900 #define __FUNCT__ "FETIDPMatMultTranspose"
901 PetscErrorCode FETIDPMatMultTranspose(Mat fetimat, Vec x, Vec y)
902 {
903   FETIDPMat_ctx  mat_ctx;
904   PC_IS          *pcis;
905   PetscErrorCode ierr;
906 
907   PetscFunctionBegin;
908   ierr = MatShellGetContext(fetimat,(void**)&mat_ctx);CHKERRQ(ierr);
909   pcis = (PC_IS*)mat_ctx->pc->data;
910   /* Application of B_delta^T */
911   ierr = VecScatterBegin(mat_ctx->l2g_lambda,x,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
912   ierr = VecScatterEnd(mat_ctx->l2g_lambda,x,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
913   ierr = MatMultTranspose(mat_ctx->B_delta,mat_ctx->lambda_local,pcis->vec1_B);CHKERRQ(ierr);
914   /* Application of \widetilde{S}^-1 */
915   ierr = VecSet(pcis->vec1_D,0.0);CHKERRQ(ierr);
916   ierr = PCBDDCApplyInterfacePreconditioner(mat_ctx->pc,PETSC_TRUE);CHKERRQ(ierr);
917   /* Application of B_delta */
918   ierr = MatMult(mat_ctx->B_delta,pcis->vec1_B,mat_ctx->lambda_local);CHKERRQ(ierr);
919   ierr = VecSet(y,0.0);CHKERRQ(ierr);
920   ierr = VecScatterBegin(mat_ctx->l2g_lambda,mat_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
921   ierr = VecScatterEnd(mat_ctx->l2g_lambda,mat_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
922   PetscFunctionReturn(0);
923 }
924 
925 #undef __FUNCT__
926 #define __FUNCT__ "FETIDPPCApply"
927 PetscErrorCode FETIDPPCApply(PC fetipc, Vec x, Vec y)
928 {
929   FETIDPPC_ctx   pc_ctx;
930   PC_IS          *pcis;
931   PetscErrorCode ierr;
932 
933   PetscFunctionBegin;
934   ierr = PCShellGetContext(fetipc,(void**)&pc_ctx);CHKERRQ(ierr);
935   pcis = (PC_IS*)pc_ctx->pc->data;
936   /* Application of B_Ddelta^T */
937   ierr = VecScatterBegin(pc_ctx->l2g_lambda,x,pc_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
938   ierr = VecScatterEnd(pc_ctx->l2g_lambda,x,pc_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
939   ierr = VecSet(pcis->vec2_B,0.0);CHKERRQ(ierr);
940   ierr = MatMultTranspose(pc_ctx->B_Ddelta,pc_ctx->lambda_local,pcis->vec2_B);CHKERRQ(ierr);
941   /* Application of local Schur complement */
942   ierr = MatMult(pc_ctx->S_j,pcis->vec2_B,pcis->vec1_B);CHKERRQ(ierr);
943   /* Application of B_Ddelta */
944   ierr = MatMult(pc_ctx->B_Ddelta,pcis->vec1_B,pc_ctx->lambda_local);CHKERRQ(ierr);
945   ierr = VecSet(y,0.0);CHKERRQ(ierr);
946   ierr = VecScatterBegin(pc_ctx->l2g_lambda,pc_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
947   ierr = VecScatterEnd(pc_ctx->l2g_lambda,pc_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
948   /* interface pressure preconditioner */
949   if (pc_ctx->kP) {
950     const PetscScalar *lx;
951     PetscScalar *ly;
952 
953     /* pressures ordered first in x and y */
954     ierr = VecGetArrayRead(x,&lx);CHKERRQ(ierr);
955     ierr = VecGetArray(y,&ly);CHKERRQ(ierr);
956     ierr = VecPlaceArray(pc_ctx->xPg,lx);CHKERRQ(ierr);
957     ierr = VecPlaceArray(pc_ctx->yPg,ly);CHKERRQ(ierr);
958     ierr = KSPSolve(pc_ctx->kP,pc_ctx->xPg,pc_ctx->yPg);CHKERRQ(ierr);
959     ierr = VecResetArray(pc_ctx->xPg);CHKERRQ(ierr);
960     ierr = VecResetArray(pc_ctx->yPg);CHKERRQ(ierr);
961     ierr = VecRestoreArrayRead(x,&lx);CHKERRQ(ierr);
962     ierr = VecRestoreArray(y,&ly);CHKERRQ(ierr);
963   }
964   PetscFunctionReturn(0);
965 }
966 
967 #undef __FUNCT__
968 #define __FUNCT__ "FETIDPPCApplyTranspose"
969 PetscErrorCode FETIDPPCApplyTranspose(PC fetipc, Vec x, Vec y)
970 {
971   FETIDPPC_ctx   pc_ctx;
972   PC_IS          *pcis;
973   PetscErrorCode ierr;
974 
975   PetscFunctionBegin;
976   ierr = PCShellGetContext(fetipc,(void**)&pc_ctx);CHKERRQ(ierr);
977   pcis = (PC_IS*)pc_ctx->pc->data;
978   /* Application of B_Ddelta^T */
979   ierr = VecScatterBegin(pc_ctx->l2g_lambda,x,pc_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
980   ierr = VecScatterEnd(pc_ctx->l2g_lambda,x,pc_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
981   ierr = VecSet(pcis->vec2_B,0.0);CHKERRQ(ierr);
982   ierr = MatMultTranspose(pc_ctx->B_Ddelta,pc_ctx->lambda_local,pcis->vec2_B);CHKERRQ(ierr);
983   /* Application of local Schur complement */
984   ierr = MatMultTranspose(pc_ctx->S_j,pcis->vec2_B,pcis->vec1_B);CHKERRQ(ierr);
985   /* Application of B_Ddelta */
986   ierr = MatMult(pc_ctx->B_Ddelta,pcis->vec1_B,pc_ctx->lambda_local);CHKERRQ(ierr);
987   ierr = VecSet(y,0.0);CHKERRQ(ierr);
988   ierr = VecScatterBegin(pc_ctx->l2g_lambda,pc_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
989   ierr = VecScatterEnd(pc_ctx->l2g_lambda,pc_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
990   PetscFunctionReturn(0);
991 }
992 
993 #undef __FUNCT__
994 #define __FUNCT__ "FETIDPPCView"
995 PetscErrorCode FETIDPPCView(PC pc, PetscViewer viewer)
996 {
997   FETIDPPC_ctx      pc_ctx;
998   PetscBool         iascii;
999   PetscViewer       sviewer;
1000   PetscErrorCode    ierr;
1001 
1002   PetscFunctionBegin;
1003   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
1004   if (iascii) {
1005     PetscMPIInt rank;
1006     PetscBool   isschur,isshell;
1007 
1008     ierr = PCShellGetContext(pc,(void**)&pc_ctx);CHKERRQ(ierr);
1009     ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)pc),&rank);CHKERRQ(ierr);
1010     ierr = PetscObjectTypeCompare((PetscObject)pc_ctx->S_j,MATSCHURCOMPLEMENT,&isschur);CHKERRQ(ierr);
1011     if (isschur) {
1012       ierr = PetscViewerASCIIPrintf(viewer,"  FETI-DP multipliers Dirichlet preconditioner (just from rank 0)\n");CHKERRQ(ierr);
1013     } else {
1014       ierr = PetscViewerASCIIPrintf(viewer,"  FETI-DP multipliers Lumped preconditioner (just from rank 0)\n");CHKERRQ(ierr);
1015     }
1016     ierr = PetscViewerGetSubViewer(viewer,PetscObjectComm((PetscObject)pc_ctx->S_j),&sviewer);CHKERRQ(ierr);
1017     if (!rank) {
1018       ierr = PetscViewerPushFormat(sviewer,PETSC_VIEWER_ASCII_INFO);CHKERRQ(ierr);
1019       ierr = PetscViewerASCIIAddTab(sviewer,2);CHKERRQ(ierr);
1020       ierr = MatView(pc_ctx->S_j,sviewer);CHKERRQ(ierr);
1021       ierr = PetscViewerASCIISubtractTab(sviewer,2);CHKERRQ(ierr);
1022       ierr = PetscViewerPopFormat(sviewer);CHKERRQ(ierr);
1023     }
1024     ierr = PetscObjectTypeCompare((PetscObject)pc_ctx->B_Ddelta,MATSHELL,&isshell);CHKERRQ(ierr);
1025     if (isshell) {
1026       BDdelta_DN ctx;
1027       ierr = PetscViewerASCIIPrintf(viewer,"  FETI-DP BDdelta: DB^t * (B D^-1 B^t)^-1 for deluxe scaling (just from rank 0)\n");CHKERRQ(ierr);
1028       ierr = MatShellGetContext(pc_ctx->B_Ddelta,&ctx);CHKERRQ(ierr);
1029       if (!rank) {
1030         ierr = PetscViewerASCIIAddTab(sviewer,2);CHKERRQ(ierr);
1031         ierr = KSPView(ctx->kBD,sviewer);CHKERRQ(ierr);
1032         ierr = PetscViewerPushFormat(sviewer,PETSC_VIEWER_ASCII_INFO);CHKERRQ(ierr);
1033         ierr = MatView(ctx->BD,sviewer);CHKERRQ(ierr);
1034         ierr = PetscViewerASCIISubtractTab(sviewer,2);CHKERRQ(ierr);
1035         ierr = PetscViewerPopFormat(sviewer);CHKERRQ(ierr);
1036       }
1037     }
1038     ierr = PetscViewerRestoreSubViewer(viewer,PetscObjectComm((PetscObject)pc_ctx->S_j),&sviewer);CHKERRQ(ierr);
1039     ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1040     if (pc_ctx->kP) {
1041       ierr = PetscViewerASCIIPrintf(viewer,"  FETI-DP pressure preconditioner\n");CHKERRQ(ierr);
1042       ierr = PetscViewerASCIIAddTab(viewer,2);CHKERRQ(ierr);
1043       ierr = KSPView(pc_ctx->kP,viewer);CHKERRQ(ierr);
1044       ierr = PetscViewerASCIISubtractTab(viewer,2);CHKERRQ(ierr);
1045     }
1046   }
1047   PetscFunctionReturn(0);
1048 }
1049