xref: /petsc/src/ksp/pc/impls/bddc/bddcfetidp.c (revision 4fe826ed10e87ab8ac9a1b661bb13a550306104b)
1 #include <../src/ksp/pc/impls/bddc/bddc.h>
2 #include <../src/ksp/pc/impls/bddc/bddcprivate.h>
3 
4 #undef __FUNCT__
5 #define __FUNCT__ "PCBDDCCreateFETIDPMatContext"
6 PetscErrorCode PCBDDCCreateFETIDPMatContext(PC pc, FETIDPMat_ctx *fetidpmat_ctx)
7 {
8   FETIDPMat_ctx  newctx;
9   PetscErrorCode ierr;
10 
11   PetscFunctionBegin;
12   ierr = PetscNew(&newctx);CHKERRQ(ierr);
13   newctx->lambda_local    = 0;
14   newctx->temp_solution_B = 0;
15   newctx->temp_solution_D = 0;
16   newctx->B_delta         = 0;
17   newctx->B_Ddelta        = 0; /* theoretically belongs to the FETIDP preconditioner */
18   newctx->l2g_lambda      = 0;
19   /* increase the reference count for BDDC preconditioner */
20   ierr = PetscObjectReference((PetscObject)pc);CHKERRQ(ierr);
21   newctx->pc              = pc;
22   *fetidpmat_ctx          = newctx;
23   PetscFunctionReturn(0);
24 }
25 
26 #undef __FUNCT__
27 #define __FUNCT__ "PCBDDCCreateFETIDPPCContext"
28 PetscErrorCode PCBDDCCreateFETIDPPCContext(PC pc, FETIDPPC_ctx *fetidppc_ctx)
29 {
30   FETIDPPC_ctx   newctx;
31   PetscErrorCode ierr;
32 
33   PetscFunctionBegin;
34   ierr = PetscNew(&newctx);CHKERRQ(ierr);
35   newctx->lambda_local    = 0;
36   newctx->B_Ddelta        = 0;
37   newctx->l2g_lambda      = 0;
38   /* increase the reference count for BDDC preconditioner */
39   ierr = PetscObjectReference((PetscObject)pc);CHKERRQ(ierr);
40   newctx->pc              = pc;
41   *fetidppc_ctx           = newctx;
42   PetscFunctionReturn(0);
43 }
44 
45 #undef __FUNCT__
46 #define __FUNCT__ "PCBDDCDestroyFETIDPMat"
47 PetscErrorCode PCBDDCDestroyFETIDPMat(Mat A)
48 {
49   FETIDPMat_ctx  mat_ctx;
50   PetscErrorCode ierr;
51 
52   PetscFunctionBegin;
53   ierr = MatShellGetContext(A,(void**)&mat_ctx);CHKERRQ(ierr);
54   ierr = VecDestroy(&mat_ctx->lambda_local);CHKERRQ(ierr);
55   ierr = VecDestroy(&mat_ctx->temp_solution_D);CHKERRQ(ierr);
56   ierr = VecDestroy(&mat_ctx->temp_solution_B);CHKERRQ(ierr);
57   ierr = MatDestroy(&mat_ctx->B_delta);CHKERRQ(ierr);
58   ierr = MatDestroy(&mat_ctx->B_Ddelta);CHKERRQ(ierr);
59   ierr = VecScatterDestroy(&mat_ctx->l2g_lambda);CHKERRQ(ierr);
60   ierr = PCDestroy(&mat_ctx->pc);CHKERRQ(ierr); /* decrease PCBDDC reference count */
61   ierr = PetscFree(mat_ctx);CHKERRQ(ierr);
62   PetscFunctionReturn(0);
63 }
64 
65 #undef __FUNCT__
66 #define __FUNCT__ "PCBDDCDestroyFETIDPPC"
67 PetscErrorCode PCBDDCDestroyFETIDPPC(PC pc)
68 {
69   FETIDPPC_ctx   pc_ctx;
70   PetscErrorCode ierr;
71 
72   PetscFunctionBegin;
73   ierr = PCShellGetContext(pc,(void**)&pc_ctx);CHKERRQ(ierr);
74   ierr = VecDestroy(&pc_ctx->lambda_local);CHKERRQ(ierr);
75   ierr = MatDestroy(&pc_ctx->B_Ddelta);CHKERRQ(ierr);
76   ierr = VecScatterDestroy(&pc_ctx->l2g_lambda);CHKERRQ(ierr);
77   ierr = MatDestroy(&pc_ctx->S_j);CHKERRQ(ierr);
78   ierr = PCDestroy(&pc_ctx->pc);CHKERRQ(ierr); /* decrease PCBDDC reference count */
79   ierr = PetscFree(pc_ctx);CHKERRQ(ierr);
80   PetscFunctionReturn(0);
81 }
82 
83 #undef __FUNCT__
84 #define __FUNCT__ "PCBDDCSetupFETIDPMatContext"
85 PetscErrorCode PCBDDCSetupFETIDPMatContext(FETIDPMat_ctx fetidpmat_ctx )
86 {
87   PetscErrorCode ierr;
88   PC_IS          *pcis=(PC_IS*)fetidpmat_ctx->pc->data;
89   PC_BDDC        *pcbddc=(PC_BDDC*)fetidpmat_ctx->pc->data;
90   PCBDDCGraph    mat_graph=pcbddc->mat_graph;
91   Mat_IS         *matis  = (Mat_IS*)fetidpmat_ctx->pc->pmat->data;
92   MPI_Comm       comm;
93   Mat            ScalingMat;
94   Vec            lambda_global;
95   IS             IS_l2g_lambda;
96   IS             subset,subset_mult,subset_n;
97   PetscBool      skip_node,fully_redundant;
98   PetscInt       i,j,k,s,n_boundary_dofs,n_global_lambda,n_vertices,partial_sum;
99   PetscInt       cum,n_local_lambda,n_lambda_for_dof,dual_size,n_neg_values,n_pos_values;
100   PetscMPIInt    rank,size,buf_size,neigh;
101   PetscScalar    scalar_value;
102   PetscInt       *vertex_indices;
103   PetscInt       *dual_dofs_boundary_indices,*aux_local_numbering_1;
104   const PetscInt *aux_global_numbering;
105   PetscInt       *aux_sums,*cols_B_delta,*l2g_indices;
106   PetscScalar    *array,*scaling_factors,*vals_B_delta;
107   PetscInt       *aux_local_numbering_2;
108   /* For communication of scaling factors */
109   PetscInt       *ptrs_buffer,neigh_position;
110   PetscScalar    **all_factors,*send_buffer,*recv_buffer;
111   MPI_Request    *send_reqs,*recv_reqs;
112   /* tests */
113   Vec            test_vec;
114   PetscBool      test_fetidp;
115   PetscViewer    viewer;
116 
117   PetscFunctionBegin;
118   ierr = PetscObjectGetComm((PetscObject)(fetidpmat_ctx->pc),&comm);CHKERRQ(ierr);
119   ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
120   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
121 
122   /* Default type of lagrange multipliers is non-redundant */
123   fully_redundant = PETSC_FALSE;
124   ierr = PetscOptionsGetBool(NULL,NULL,"-fetidp_fullyredundant",&fully_redundant,NULL);CHKERRQ(ierr);
125 
126   /* Evaluate local and global number of lagrange multipliers */
127   ierr = VecSet(pcis->vec1_N,0.0);CHKERRQ(ierr);
128   n_local_lambda = 0;
129   partial_sum = 0;
130   n_boundary_dofs = 0;
131   s = 0;
132   /* Get Vertices used to define the BDDC */
133   n_vertices = pcbddc->n_vertices;
134   vertex_indices = pcbddc->local_primal_ref_node;
135   dual_size = pcis->n_B-n_vertices;
136   ierr = PetscMalloc1(dual_size,&dual_dofs_boundary_indices);CHKERRQ(ierr);
137   ierr = PetscMalloc1(dual_size,&aux_local_numbering_1);CHKERRQ(ierr);
138   ierr = PetscMalloc1(dual_size,&aux_local_numbering_2);CHKERRQ(ierr);
139 
140   ierr = VecGetArray(pcis->vec1_N,&array);CHKERRQ(ierr);
141   for (i=0;i<pcis->n;i++){
142     j = mat_graph->count[i]; /* RECALL: mat_graph->count[i] does not count myself */
143     if ( j > 0 ) {
144       n_boundary_dofs++;
145     }
146     skip_node = PETSC_FALSE;
147     if ( s < n_vertices && vertex_indices[s]==i) { /* it works for a sorted set of vertices */
148       skip_node = PETSC_TRUE;
149       s++;
150     }
151     if (j < 1) {
152       skip_node = PETSC_TRUE;
153     }
154     if ( !skip_node ) {
155       if (fully_redundant) {
156         /* fully redundant set of lagrange multipliers */
157         n_lambda_for_dof = (j*(j+1))/2;
158       } else {
159         n_lambda_for_dof = j;
160       }
161       n_local_lambda += j;
162       /* needed to evaluate global number of lagrange multipliers */
163       array[i]=(1.0*n_lambda_for_dof)/(j+1.0); /* already scaled for the next global sum */
164       /* store some data needed */
165       dual_dofs_boundary_indices[partial_sum] = n_boundary_dofs-1;
166       aux_local_numbering_1[partial_sum] = i;
167       aux_local_numbering_2[partial_sum] = n_lambda_for_dof;
168       partial_sum++;
169     }
170   }
171   ierr = VecRestoreArray(pcis->vec1_N,&array);CHKERRQ(ierr);
172 
173   /* compute global ordering of lagrange multipliers and associate l2g map */
174   ierr = ISCreateGeneral(comm,partial_sum,aux_local_numbering_1,PETSC_COPY_VALUES,&subset_n);CHKERRQ(ierr);
175   ierr = ISLocalToGlobalMappingApplyIS(pcis->mapping,subset_n,&subset);CHKERRQ(ierr);
176   ierr = ISDestroy(&subset_n);CHKERRQ(ierr);
177   ierr = ISCreateGeneral(comm,partial_sum,aux_local_numbering_2,PETSC_OWN_POINTER,&subset_mult);CHKERRQ(ierr);
178   ierr = PCBDDCSubsetNumbering(subset,subset_mult,&fetidpmat_ctx->n_lambda,&subset_n);CHKERRQ(ierr);
179   ierr = ISDestroy(&subset);CHKERRQ(ierr);
180 #if defined(PETSC_USE_DEBUG)
181   ierr = VecSet(pcis->vec1_global,0.0);CHKERRQ(ierr);
182   ierr = VecScatterBegin(matis->rctx,pcis->vec1_N,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
183   ierr = VecScatterEnd(matis->rctx,pcis->vec1_N,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
184   ierr = VecSum(pcis->vec1_global,&scalar_value);CHKERRQ(ierr);
185   i = (PetscInt)PetscRealPart(scalar_value);
186   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);
187 #endif
188 
189   /* init data for scaling factors exchange */
190   partial_sum = 0;
191   ierr = PetscMalloc1(pcis->n_neigh,&ptrs_buffer);CHKERRQ(ierr);
192   ierr = PetscMalloc1(pcis->n_neigh-1,&send_reqs);CHKERRQ(ierr);
193   ierr = PetscMalloc1(pcis->n_neigh-1,&recv_reqs);CHKERRQ(ierr);
194   ierr = PetscMalloc1(pcis->n,&all_factors);CHKERRQ(ierr);
195   ptrs_buffer[0]=0;
196   for (i=1;i<pcis->n_neigh;i++) {
197     partial_sum += pcis->n_shared[i];
198     ptrs_buffer[i] = ptrs_buffer[i-1]+pcis->n_shared[i];
199   }
200   ierr = PetscMalloc1(partial_sum,&send_buffer);CHKERRQ(ierr);
201   ierr = PetscMalloc1(partial_sum,&recv_buffer);CHKERRQ(ierr);
202   ierr = PetscMalloc1(partial_sum,&all_factors[0]);CHKERRQ(ierr);
203   for (i=0;i<pcis->n-1;i++) {
204     j = mat_graph->count[i];
205     all_factors[i+1]=all_factors[i]+j;
206   }
207   /* scatter B scaling to N vec */
208   ierr = VecScatterBegin(pcis->N_to_B,pcis->D,pcis->vec1_N,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
209   ierr = VecScatterEnd(pcis->N_to_B,pcis->D,pcis->vec1_N,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
210   /* communications */
211   ierr = VecGetArrayRead(pcis->vec1_N,(const PetscScalar**)&array);CHKERRQ(ierr);
212   for (i=1;i<pcis->n_neigh;i++) {
213     for (j=0;j<pcis->n_shared[i];j++) {
214       send_buffer[ptrs_buffer[i-1]+j]=array[pcis->shared[i][j]];
215     }
216     ierr = PetscMPIIntCast(ptrs_buffer[i]-ptrs_buffer[i-1],&buf_size);CHKERRQ(ierr);
217     ierr = PetscMPIIntCast(pcis->neigh[i],&neigh);CHKERRQ(ierr);
218     ierr = MPI_Isend(&send_buffer[ptrs_buffer[i-1]],buf_size,MPIU_SCALAR,neigh,0,comm,&send_reqs[i-1]);CHKERRQ(ierr);
219     ierr = MPI_Irecv(&recv_buffer[ptrs_buffer[i-1]],buf_size,MPIU_SCALAR,neigh,0,comm,&recv_reqs[i-1]);CHKERRQ(ierr);
220   }
221   ierr = VecRestoreArrayRead(pcis->vec1_N,(const PetscScalar**)&array);CHKERRQ(ierr);
222   ierr = MPI_Waitall((pcis->n_neigh-1),recv_reqs,MPI_STATUSES_IGNORE);CHKERRQ(ierr);
223   /* put values in correct places */
224   for (i=1;i<pcis->n_neigh;i++) {
225     for (j=0;j<pcis->n_shared[i];j++) {
226       k = pcis->shared[i][j];
227       neigh_position = 0;
228       while(mat_graph->neighbours_set[k][neigh_position] != pcis->neigh[i]) {neigh_position++;}
229       all_factors[k][neigh_position]=recv_buffer[ptrs_buffer[i-1]+j];
230     }
231   }
232   ierr = MPI_Waitall((pcis->n_neigh-1),send_reqs,MPI_STATUSES_IGNORE);CHKERRQ(ierr);
233   ierr = PetscFree(send_reqs);CHKERRQ(ierr);
234   ierr = PetscFree(recv_reqs);CHKERRQ(ierr);
235   ierr = PetscFree(send_buffer);CHKERRQ(ierr);
236   ierr = PetscFree(recv_buffer);CHKERRQ(ierr);
237   ierr = PetscFree(ptrs_buffer);CHKERRQ(ierr);
238 
239   /* Compute B and B_delta (local actions) */
240   ierr = PetscMalloc1(pcis->n_neigh,&aux_sums);CHKERRQ(ierr);
241   ierr = PetscMalloc1(n_local_lambda,&l2g_indices);CHKERRQ(ierr);
242   ierr = PetscMalloc1(n_local_lambda,&vals_B_delta);CHKERRQ(ierr);
243   ierr = PetscMalloc1(n_local_lambda,&cols_B_delta);CHKERRQ(ierr);
244   ierr = PetscMalloc1(n_local_lambda,&scaling_factors);CHKERRQ(ierr);
245   ierr = ISGetIndices(subset_n,&aux_global_numbering);CHKERRQ(ierr);
246   partial_sum=0;
247   cum = 0;
248   for (i=0;i<dual_size;i++) {
249     n_global_lambda = aux_global_numbering[cum];
250     j = mat_graph->count[aux_local_numbering_1[i]];
251     aux_sums[0]=0;
252     for (s=1;s<j;s++) {
253       aux_sums[s]=aux_sums[s-1]+j-s+1;
254     }
255     array = all_factors[aux_local_numbering_1[i]];
256     n_neg_values = 0;
257     while(n_neg_values < j && mat_graph->neighbours_set[aux_local_numbering_1[i]][n_neg_values] < rank) {n_neg_values++;}
258     n_pos_values = j - n_neg_values;
259     if (fully_redundant) {
260       for (s=0;s<n_neg_values;s++) {
261         l2g_indices    [partial_sum+s]=aux_sums[s]+n_neg_values-s-1+n_global_lambda;
262         cols_B_delta   [partial_sum+s]=dual_dofs_boundary_indices[i];
263         vals_B_delta   [partial_sum+s]=-1.0;
264         scaling_factors[partial_sum+s]=array[s];
265       }
266       for (s=0;s<n_pos_values;s++) {
267         l2g_indices    [partial_sum+s+n_neg_values]=aux_sums[n_neg_values]+s+n_global_lambda;
268         cols_B_delta   [partial_sum+s+n_neg_values]=dual_dofs_boundary_indices[i];
269         vals_B_delta   [partial_sum+s+n_neg_values]=1.0;
270         scaling_factors[partial_sum+s+n_neg_values]=array[s+n_neg_values];
271       }
272       partial_sum += j;
273     } else {
274       /* l2g_indices and default cols and vals of B_delta */
275       for (s=0;s<j;s++) {
276         l2g_indices    [partial_sum+s]=n_global_lambda+s;
277         cols_B_delta   [partial_sum+s]=dual_dofs_boundary_indices[i];
278         vals_B_delta   [partial_sum+s]=0.0;
279       }
280       /* B_delta */
281       if ( n_neg_values > 0 ) { /* there's a rank next to me to the left */
282         vals_B_delta   [partial_sum+n_neg_values-1]=-1.0;
283       }
284       if ( n_neg_values < j ) { /* there's a rank next to me to the right */
285         vals_B_delta   [partial_sum+n_neg_values]=1.0;
286       }
287       /* scaling as in Klawonn-Widlund 1999*/
288       for (s=0;s<n_neg_values;s++) {
289         scalar_value = 0.0;
290         for (k=0;k<s+1;k++) {
291           scalar_value += array[k];
292         }
293         scaling_factors[partial_sum+s] = -scalar_value;
294       }
295       for (s=0;s<n_pos_values;s++) {
296         scalar_value = 0.0;
297         for (k=s+n_neg_values;k<j;k++) {
298           scalar_value += array[k];
299         }
300         scaling_factors[partial_sum+s+n_neg_values] = scalar_value;
301       }
302       partial_sum += j;
303     }
304     cum += aux_local_numbering_2[i];
305   }
306   ierr = ISRestoreIndices(subset_n,&aux_global_numbering);CHKERRQ(ierr);
307   ierr = ISDestroy(&subset_mult);CHKERRQ(ierr);
308   ierr = ISDestroy(&subset_n);CHKERRQ(ierr);
309   ierr = PetscFree(aux_sums);CHKERRQ(ierr);
310   ierr = PetscFree(aux_local_numbering_1);CHKERRQ(ierr);
311   ierr = PetscFree(dual_dofs_boundary_indices);CHKERRQ(ierr);
312   ierr = PetscFree(all_factors[0]);CHKERRQ(ierr);
313   ierr = PetscFree(all_factors);CHKERRQ(ierr);
314 
315   /* Local to global mapping of fetidpmat */
316   ierr = VecCreate(PETSC_COMM_SELF,&fetidpmat_ctx->lambda_local);CHKERRQ(ierr);
317   ierr = VecSetSizes(fetidpmat_ctx->lambda_local,n_local_lambda,n_local_lambda);CHKERRQ(ierr);
318   ierr = VecSetType(fetidpmat_ctx->lambda_local,VECSEQ);CHKERRQ(ierr);
319   ierr = VecCreate(comm,&lambda_global);CHKERRQ(ierr);
320   ierr = VecSetSizes(lambda_global,PETSC_DECIDE,fetidpmat_ctx->n_lambda);CHKERRQ(ierr);
321   ierr = VecSetType(lambda_global,VECMPI);CHKERRQ(ierr);
322   ierr = ISCreateGeneral(comm,n_local_lambda,l2g_indices,PETSC_OWN_POINTER,&IS_l2g_lambda);CHKERRQ(ierr);
323   ierr = VecScatterCreate(fetidpmat_ctx->lambda_local,(IS)0,lambda_global,IS_l2g_lambda,&fetidpmat_ctx->l2g_lambda);CHKERRQ(ierr);
324   ierr = ISDestroy(&IS_l2g_lambda);CHKERRQ(ierr);
325 
326   /* Create local part of B_delta */
327   ierr = MatCreate(PETSC_COMM_SELF,&fetidpmat_ctx->B_delta);CHKERRQ(ierr);
328   ierr = MatSetSizes(fetidpmat_ctx->B_delta,n_local_lambda,pcis->n_B,n_local_lambda,pcis->n_B);CHKERRQ(ierr);
329   ierr = MatSetType(fetidpmat_ctx->B_delta,MATSEQAIJ);CHKERRQ(ierr);
330   ierr = MatSeqAIJSetPreallocation(fetidpmat_ctx->B_delta,1,NULL);CHKERRQ(ierr);
331   ierr = MatSetOption(fetidpmat_ctx->B_delta,MAT_IGNORE_ZERO_ENTRIES,PETSC_TRUE);CHKERRQ(ierr);
332   for (i=0;i<n_local_lambda;i++) {
333     ierr = MatSetValue(fetidpmat_ctx->B_delta,i,cols_B_delta[i],vals_B_delta[i],INSERT_VALUES);CHKERRQ(ierr);
334   }
335   ierr = PetscFree(vals_B_delta);CHKERRQ(ierr);
336   ierr = MatAssemblyBegin(fetidpmat_ctx->B_delta,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
337   ierr = MatAssemblyEnd  (fetidpmat_ctx->B_delta,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
338 
339   if (fully_redundant) {
340     ierr = MatCreate(PETSC_COMM_SELF,&ScalingMat);CHKERRQ(ierr);
341     ierr = MatSetSizes(ScalingMat,n_local_lambda,n_local_lambda,n_local_lambda,n_local_lambda);CHKERRQ(ierr);
342     ierr = MatSetType(ScalingMat,MATSEQAIJ);CHKERRQ(ierr);
343     ierr = MatSeqAIJSetPreallocation(ScalingMat,1,NULL);CHKERRQ(ierr);
344     for (i=0;i<n_local_lambda;i++) {
345       ierr = MatSetValue(ScalingMat,i,i,scaling_factors[i],INSERT_VALUES);CHKERRQ(ierr);
346     }
347     ierr = MatAssemblyBegin(ScalingMat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
348     ierr = MatAssemblyEnd  (ScalingMat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
349     ierr = MatMatMult(ScalingMat,fetidpmat_ctx->B_delta,MAT_INITIAL_MATRIX,PETSC_DEFAULT,&fetidpmat_ctx->B_Ddelta);CHKERRQ(ierr);
350     ierr = MatDestroy(&ScalingMat);CHKERRQ(ierr);
351   } else {
352     ierr = MatCreate(PETSC_COMM_SELF,&fetidpmat_ctx->B_Ddelta);CHKERRQ(ierr);
353     ierr = MatSetSizes(fetidpmat_ctx->B_Ddelta,n_local_lambda,pcis->n_B,n_local_lambda,pcis->n_B);CHKERRQ(ierr);
354     ierr = MatSetType(fetidpmat_ctx->B_Ddelta,MATSEQAIJ);CHKERRQ(ierr);
355     ierr = MatSeqAIJSetPreallocation(fetidpmat_ctx->B_Ddelta,1,NULL);CHKERRQ(ierr);
356     for (i=0;i<n_local_lambda;i++) {
357       ierr = MatSetValue(fetidpmat_ctx->B_Ddelta,i,cols_B_delta[i],scaling_factors[i],INSERT_VALUES);CHKERRQ(ierr);
358     }
359     ierr = MatAssemblyBegin(fetidpmat_ctx->B_Ddelta,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
360     ierr = MatAssemblyEnd  (fetidpmat_ctx->B_Ddelta,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
361   }
362   ierr = PetscFree(scaling_factors);CHKERRQ(ierr);
363   ierr = PetscFree(cols_B_delta);CHKERRQ(ierr);
364 
365   /* Create some vectors needed by fetidp */
366   ierr = VecDuplicate(pcis->vec1_B,&fetidpmat_ctx->temp_solution_B);CHKERRQ(ierr);
367   ierr = VecDuplicate(pcis->vec1_D,&fetidpmat_ctx->temp_solution_D);CHKERRQ(ierr);
368 
369   test_fetidp = PETSC_FALSE;
370   ierr = PetscOptionsGetBool(NULL,NULL,"-fetidp_check",&test_fetidp,NULL);CHKERRQ(ierr);
371 
372   if (test_fetidp && !pcbddc->use_deluxe_scaling) {
373 
374     PetscReal real_value;
375 
376     ierr = PetscViewerASCIIGetStdout(comm,&viewer);CHKERRQ(ierr);
377     ierr = PetscViewerASCIIPushSynchronized(viewer);CHKERRQ(ierr);
378     ierr = PetscViewerASCIIPrintf(viewer,"----------FETI_DP TESTS--------------\n");CHKERRQ(ierr);
379     ierr = PetscViewerASCIIPrintf(viewer,"All tests should return zero!\n");CHKERRQ(ierr);
380     ierr = PetscViewerASCIIPrintf(viewer,"FETIDP MAT context in the ");CHKERRQ(ierr);
381     if (fully_redundant) {
382       ierr = PetscViewerASCIIPrintf(viewer,"fully redundant case for lagrange multipliers.\n");CHKERRQ(ierr);
383     } else {
384       ierr = PetscViewerASCIIPrintf(viewer,"Non-fully redundant case for lagrange multiplier.\n");CHKERRQ(ierr);
385     }
386     ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
387 
388     /******************************************************************/
389     /* TEST A/B: Test numbering of global lambda dofs             */
390     /******************************************************************/
391 
392     ierr = VecDuplicate(fetidpmat_ctx->lambda_local,&test_vec);CHKERRQ(ierr);
393     ierr = VecSet(lambda_global,1.0);CHKERRQ(ierr);
394     ierr = VecSet(test_vec,1.0);CHKERRQ(ierr);
395     ierr = VecScatterBegin(fetidpmat_ctx->l2g_lambda,lambda_global,fetidpmat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
396     ierr = VecScatterEnd  (fetidpmat_ctx->l2g_lambda,lambda_global,fetidpmat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
397     scalar_value = -1.0;
398     ierr = VecAXPY(test_vec,scalar_value,fetidpmat_ctx->lambda_local);CHKERRQ(ierr);
399     ierr = VecNorm(test_vec,NORM_INFINITY,&real_value);CHKERRQ(ierr);
400     ierr = VecDestroy(&test_vec);CHKERRQ(ierr);
401     ierr = PetscViewerASCIISynchronizedPrintf(viewer,"A[%04d]: CHECK glob to loc: % 1.14e\n",rank,real_value);CHKERRQ(ierr);
402     ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
403     if (fully_redundant) {
404       ierr = VecSet(lambda_global,0.0);CHKERRQ(ierr);
405       ierr = VecSet(fetidpmat_ctx->lambda_local,0.5);CHKERRQ(ierr);
406       ierr = VecScatterBegin(fetidpmat_ctx->l2g_lambda,fetidpmat_ctx->lambda_local,lambda_global,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
407       ierr = VecScatterEnd  (fetidpmat_ctx->l2g_lambda,fetidpmat_ctx->lambda_local,lambda_global,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
408       ierr = VecSum(lambda_global,&scalar_value);CHKERRQ(ierr);
409       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"B[%04d]: CHECK loc to glob: % 1.14e\n",rank,PetscRealPart(scalar_value)-fetidpmat_ctx->n_lambda);CHKERRQ(ierr);
410       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
411     }
412 
413     /******************************************************************/
414     /* TEST C: It should holds B_delta*w=0, w\in\widehat{W}           */
415     /* This is the meaning of the B matrix                            */
416     /******************************************************************/
417 
418     ierr = VecSetRandom(pcis->vec1_N,NULL);CHKERRQ(ierr);
419     ierr = VecSet(pcis->vec1_global,0.0);CHKERRQ(ierr);
420     ierr = VecScatterBegin(matis->rctx,pcis->vec1_N,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
421     ierr = VecScatterEnd(matis->rctx,pcis->vec1_N,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
422     ierr = VecScatterBegin(matis->rctx,pcis->vec1_global,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
423     ierr = VecScatterEnd(matis->rctx,pcis->vec1_global,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
424     ierr = VecScatterBegin(pcis->N_to_B,pcis->vec1_N,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
425     ierr = VecScatterEnd  (pcis->N_to_B,pcis->vec1_N,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
426     /* Action of B_delta */
427     ierr = MatMult(fetidpmat_ctx->B_delta,pcis->vec1_B,fetidpmat_ctx->lambda_local);CHKERRQ(ierr);
428     ierr = VecSet(lambda_global,0.0);CHKERRQ(ierr);
429     ierr = VecScatterBegin(fetidpmat_ctx->l2g_lambda,fetidpmat_ctx->lambda_local,lambda_global,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
430     ierr = VecScatterEnd  (fetidpmat_ctx->l2g_lambda,fetidpmat_ctx->lambda_local,lambda_global,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
431     ierr = VecNorm(lambda_global,NORM_INFINITY,&real_value);CHKERRQ(ierr);
432     ierr = PetscViewerASCIIPrintf(viewer,"C[coll]: CHECK infty norm of B_delta*w (w continuous): % 1.14e\n",real_value);CHKERRQ(ierr);
433     ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
434 
435     /******************************************************************/
436     /* TEST D: It should holds E_Dw = w - P_Dw w\in\widetilde{W}     */
437     /* E_D = R_D^TR                                                   */
438     /* P_D = B_{D,delta}^T B_{delta}                                  */
439     /* eq.44 Mandel Tezaur and Dohrmann 2005                          */
440     /******************************************************************/
441 
442     /* compute a random vector in \widetilde{W} */
443     ierr = VecSetRandom(pcis->vec1_N,NULL);CHKERRQ(ierr);
444     scalar_value = 0.0;  /* set zero at vertices */
445     ierr = VecGetArray(pcis->vec1_N,&array);CHKERRQ(ierr);
446     for (i=0;i<n_vertices;i++) { array[vertex_indices[i]]=scalar_value; }
447     ierr = VecRestoreArray(pcis->vec1_N,&array);CHKERRQ(ierr);
448     /* store w for final comparison */
449     ierr = VecDuplicate(pcis->vec1_B,&test_vec);CHKERRQ(ierr);
450     ierr = VecScatterBegin(pcis->N_to_B,pcis->vec1_N,test_vec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
451     ierr = VecScatterEnd  (pcis->N_to_B,pcis->vec1_N,test_vec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
452 
453     /* Jump operator P_D : results stored in pcis->vec1_B */
454 
455     ierr = VecScatterBegin(pcis->N_to_B,pcis->vec1_N,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
456     ierr = VecScatterEnd  (pcis->N_to_B,pcis->vec1_N,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
457     /* Action of B_delta */
458     ierr = MatMult(fetidpmat_ctx->B_delta,pcis->vec1_B,fetidpmat_ctx->lambda_local);CHKERRQ(ierr);
459     ierr = VecSet(lambda_global,0.0);CHKERRQ(ierr);
460     ierr = VecScatterBegin(fetidpmat_ctx->l2g_lambda,fetidpmat_ctx->lambda_local,lambda_global,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
461     ierr = VecScatterEnd  (fetidpmat_ctx->l2g_lambda,fetidpmat_ctx->lambda_local,lambda_global,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
462     /* Action of B_Ddelta^T */
463     ierr = VecScatterBegin(fetidpmat_ctx->l2g_lambda,lambda_global,fetidpmat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
464     ierr = VecScatterEnd  (fetidpmat_ctx->l2g_lambda,lambda_global,fetidpmat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
465     ierr = MatMultTranspose(fetidpmat_ctx->B_Ddelta,fetidpmat_ctx->lambda_local,pcis->vec1_B);CHKERRQ(ierr);
466 
467     /* Average operator E_D : results stored in pcis->vec2_B */
468     ierr = VecScatterBegin(pcis->N_to_B,pcis->vec1_N,pcis->vec2_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
469     ierr = VecScatterEnd  (pcis->N_to_B,pcis->vec1_N,pcis->vec2_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
470     ierr = PCBDDCScalingExtension(fetidpmat_ctx->pc,pcis->vec2_B,pcis->vec1_global);CHKERRQ(ierr);
471     ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_global,pcis->vec2_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
472     ierr = VecScatterEnd  (pcis->global_to_B,pcis->vec1_global,pcis->vec2_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
473 
474     /* test E_D=I-P_D */
475     scalar_value = 1.0;
476     ierr = VecAXPY(pcis->vec1_B,scalar_value,pcis->vec2_B);CHKERRQ(ierr);
477     scalar_value = -1.0;
478     ierr = VecAXPY(pcis->vec1_B,scalar_value,test_vec);CHKERRQ(ierr);
479     ierr = VecNorm(pcis->vec1_B,NORM_INFINITY,&real_value);CHKERRQ(ierr);
480     ierr = VecDestroy(&test_vec);CHKERRQ(ierr);
481     ierr = PetscViewerASCIISynchronizedPrintf(viewer,"D[%04d] CHECK infty norm of E_D + P_D - I: % 1.14e\n",rank,real_value);CHKERRQ(ierr);
482     ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
483 
484     /******************************************************************/
485     /* TEST E: It should holds R_D^TP_Dw=0 w\in\widetilde{W}          */
486     /* eq.48 Mandel Tezaur and Dohrmann 2005                          */
487     /******************************************************************/
488 
489     ierr = VecSetRandom(pcis->vec1_N,NULL);CHKERRQ(ierr);
490     ierr = VecGetArray(pcis->vec1_N,&array);CHKERRQ(ierr);
491     scalar_value = 0.0;  /* set zero at vertices */
492     for (i=0;i<n_vertices;i++) { array[vertex_indices[i]]=scalar_value; }
493     ierr = VecRestoreArray(pcis->vec1_N,&array);CHKERRQ(ierr);
494 
495     /* Jump operator P_D : results stored in pcis->vec1_B */
496 
497     ierr = VecScatterBegin(pcis->N_to_B,pcis->vec1_N,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
498     ierr = VecScatterEnd  (pcis->N_to_B,pcis->vec1_N,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
499     /* Action of B_delta */
500     ierr = MatMult(fetidpmat_ctx->B_delta,pcis->vec1_B,fetidpmat_ctx->lambda_local);CHKERRQ(ierr);
501     ierr = VecSet(lambda_global,0.0);CHKERRQ(ierr);
502     ierr = VecScatterBegin(fetidpmat_ctx->l2g_lambda,fetidpmat_ctx->lambda_local,lambda_global,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
503     ierr = VecScatterEnd  (fetidpmat_ctx->l2g_lambda,fetidpmat_ctx->lambda_local,lambda_global,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
504     /* Action of B_Ddelta^T */
505     ierr = VecScatterBegin(fetidpmat_ctx->l2g_lambda,lambda_global,fetidpmat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
506     ierr = VecScatterEnd  (fetidpmat_ctx->l2g_lambda,lambda_global,fetidpmat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
507     ierr = MatMultTranspose(fetidpmat_ctx->B_Ddelta,fetidpmat_ctx->lambda_local,pcis->vec1_B);CHKERRQ(ierr);
508     /* scaling */
509     ierr = PCBDDCScalingExtension(fetidpmat_ctx->pc,pcis->vec1_B,pcis->vec1_global);CHKERRQ(ierr);
510     ierr = VecNorm(pcis->vec1_global,NORM_INFINITY,&real_value);CHKERRQ(ierr);
511     ierr = PetscViewerASCIIPrintf(viewer,"E[coll]: CHECK infty norm of R^T_D P_D: % 1.14e\n",real_value);CHKERRQ(ierr);
512     ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
513 
514     if (!fully_redundant) {
515       /******************************************************************/
516       /* TEST F: It should holds B_{delta}B^T_{D,delta}=I               */
517       /* Corollary thm 14 Mandel Tezaur and Dohrmann 2005               */
518       /******************************************************************/
519       ierr = VecDuplicate(lambda_global,&test_vec);CHKERRQ(ierr);
520       ierr = VecSetRandom(lambda_global,NULL);CHKERRQ(ierr);
521       /* Action of B_Ddelta^T */
522       ierr = VecScatterBegin(fetidpmat_ctx->l2g_lambda,lambda_global,fetidpmat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
523       ierr = VecScatterEnd  (fetidpmat_ctx->l2g_lambda,lambda_global,fetidpmat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
524       ierr = MatMultTranspose(fetidpmat_ctx->B_Ddelta,fetidpmat_ctx->lambda_local,pcis->vec1_B);CHKERRQ(ierr);
525       /* Action of B_delta */
526       ierr = MatMult(fetidpmat_ctx->B_delta,pcis->vec1_B,fetidpmat_ctx->lambda_local);CHKERRQ(ierr);
527       ierr = VecSet(test_vec,0.0);CHKERRQ(ierr);
528       ierr = VecScatterBegin(fetidpmat_ctx->l2g_lambda,fetidpmat_ctx->lambda_local,test_vec,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
529       ierr = VecScatterEnd  (fetidpmat_ctx->l2g_lambda,fetidpmat_ctx->lambda_local,test_vec,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
530       scalar_value = -1.0;
531       ierr = VecAXPY(lambda_global,scalar_value,test_vec);CHKERRQ(ierr);
532       ierr = VecNorm(lambda_global,NORM_INFINITY,&real_value);CHKERRQ(ierr);
533       ierr = PetscViewerASCIIPrintf(viewer,"E[coll]: CHECK infty norm of P^T_D - I: % 1.14e\n",real_value);CHKERRQ(ierr);
534       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
535       ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
536       ierr = VecDestroy(&test_vec);CHKERRQ(ierr);
537     }
538   }
539   /* final cleanup */
540   ierr = VecDestroy(&lambda_global);CHKERRQ(ierr);
541 
542   PetscFunctionReturn(0);
543 }
544 
545 #undef __FUNCT__
546 #define __FUNCT__ "PCBDDCSetupFETIDPPCContext"
547 PetscErrorCode PCBDDCSetupFETIDPPCContext(Mat fetimat, FETIDPPC_ctx fetidppc_ctx)
548 {
549   FETIDPMat_ctx  mat_ctx;
550   PC_IS          *pcis;
551   PetscBool      lumped = PETSC_FALSE;
552   PetscErrorCode ierr;
553 
554   PetscFunctionBegin;
555   ierr = MatShellGetContext(fetimat,(void**)&mat_ctx);CHKERRQ(ierr);
556   /* get references from objects created when setting up feti mat context */
557   ierr = PetscObjectReference((PetscObject)mat_ctx->lambda_local);CHKERRQ(ierr);
558   fetidppc_ctx->lambda_local = mat_ctx->lambda_local;
559   ierr = PetscObjectReference((PetscObject)mat_ctx->B_Ddelta);CHKERRQ(ierr);
560   fetidppc_ctx->B_Ddelta = mat_ctx->B_Ddelta;
561   ierr = PetscObjectReference((PetscObject)mat_ctx->l2g_lambda);CHKERRQ(ierr);
562   fetidppc_ctx->l2g_lambda = mat_ctx->l2g_lambda;
563   /* create preconditioner */
564   pcis = (PC_IS*)fetidppc_ctx->pc->data;
565   /* Dirichlet preconditioner */
566   ierr = PetscOptionsGetBool(NULL,NULL,"-fetidp_lumped",&lumped,NULL);CHKERRQ(ierr);
567   if (!lumped) {
568     ierr = MatCreateSchurComplement(pcis->A_II,pcis->A_II,pcis->A_IB,pcis->A_BI,pcis->A_BB,&fetidppc_ctx->S_j);CHKERRQ(ierr);
569     ierr = MatSchurComplementSetKSP(fetidppc_ctx->S_j,pcis->ksp_D);CHKERRQ(ierr);
570   } else {
571     ierr = PetscObjectReference((PetscObject)pcis->A_BB);CHKERRQ(ierr);
572     fetidppc_ctx->S_j = pcis->A_BB;
573   }
574   PetscFunctionReturn(0);
575 }
576 
577 #undef __FUNCT__
578 #define __FUNCT__ "FETIDPMatMult"
579 PetscErrorCode FETIDPMatMult(Mat fetimat, Vec x, Vec y)
580 {
581   FETIDPMat_ctx  mat_ctx;
582   PC_BDDC        *pcbddc;
583   PC_IS          *pcis;
584   PetscErrorCode ierr;
585 
586   PetscFunctionBegin;
587   ierr = MatShellGetContext(fetimat,(void**)&mat_ctx);CHKERRQ(ierr);
588   pcis = (PC_IS*)mat_ctx->pc->data;
589   pcbddc = (PC_BDDC*)mat_ctx->pc->data;
590   /* Application of B_delta^T */
591   ierr = VecScatterBegin(mat_ctx->l2g_lambda,x,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
592   ierr = VecScatterEnd(mat_ctx->l2g_lambda,x,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
593   ierr = MatMultTranspose(mat_ctx->B_delta,mat_ctx->lambda_local,pcis->vec1_B);CHKERRQ(ierr);
594   /* Application of \widetilde{S}^-1 */
595   ierr = VecSet(pcis->vec1_D,0.0);CHKERRQ(ierr);
596   ierr = PetscMemzero(pcbddc->benign_p0,pcbddc->benign_n*sizeof(PetscScalar));CHKERRQ(ierr);
597   ierr = PCBDDCApplyInterfacePreconditioner(mat_ctx->pc,PETSC_FALSE);CHKERRQ(ierr);
598   ierr = PetscMemzero(pcbddc->benign_p0,pcbddc->benign_n*sizeof(PetscScalar));CHKERRQ(ierr);
599   /* Application of B_delta */
600   ierr = MatMult(mat_ctx->B_delta,pcis->vec1_B,mat_ctx->lambda_local);CHKERRQ(ierr);
601   ierr = VecSet(y,0.0);CHKERRQ(ierr);
602   ierr = VecScatterBegin(mat_ctx->l2g_lambda,mat_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
603   ierr = VecScatterEnd(mat_ctx->l2g_lambda,mat_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
604   PetscFunctionReturn(0);
605 }
606 
607 #undef __FUNCT__
608 #define __FUNCT__ "FETIDPMatMultTranspose"
609 PetscErrorCode FETIDPMatMultTranspose(Mat fetimat, Vec x, Vec y)
610 {
611   FETIDPMat_ctx  mat_ctx;
612   PC_IS          *pcis;
613   PetscErrorCode ierr;
614 
615   PetscFunctionBegin;
616   ierr = MatShellGetContext(fetimat,(void**)&mat_ctx);CHKERRQ(ierr);
617   pcis = (PC_IS*)mat_ctx->pc->data;
618   /* Application of B_delta^T */
619   ierr = VecScatterBegin(mat_ctx->l2g_lambda,x,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
620   ierr = VecScatterEnd(mat_ctx->l2g_lambda,x,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
621   ierr = MatMultTranspose(mat_ctx->B_delta,mat_ctx->lambda_local,pcis->vec1_B);CHKERRQ(ierr);
622   /* Application of \widetilde{S}^-1 */
623   ierr = VecSet(pcis->vec1_D,0.0);CHKERRQ(ierr);
624   ierr = PCBDDCApplyInterfacePreconditioner(mat_ctx->pc,PETSC_TRUE);CHKERRQ(ierr);
625   /* Application of B_delta */
626   ierr = MatMult(mat_ctx->B_delta,pcis->vec1_B,mat_ctx->lambda_local);CHKERRQ(ierr);
627   ierr = VecSet(y,0.0);CHKERRQ(ierr);
628   ierr = VecScatterBegin(mat_ctx->l2g_lambda,mat_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
629   ierr = VecScatterEnd(mat_ctx->l2g_lambda,mat_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
630   PetscFunctionReturn(0);
631 }
632 
633 #undef __FUNCT__
634 #define __FUNCT__ "FETIDPPCApply"
635 PetscErrorCode FETIDPPCApply(PC fetipc, Vec x, Vec y)
636 {
637   FETIDPPC_ctx   pc_ctx;
638   PC_IS          *pcis;
639   PetscErrorCode ierr;
640 
641   PetscFunctionBegin;
642   ierr = PCShellGetContext(fetipc,(void**)&pc_ctx);CHKERRQ(ierr);
643   pcis = (PC_IS*)pc_ctx->pc->data;
644   /* Application of B_Ddelta^T */
645   ierr = VecScatterBegin(pc_ctx->l2g_lambda,x,pc_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
646   ierr = VecScatterEnd(pc_ctx->l2g_lambda,x,pc_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
647   ierr = VecSet(pcis->vec2_B,0.0);CHKERRQ(ierr);
648   ierr = MatMultTranspose(pc_ctx->B_Ddelta,pc_ctx->lambda_local,pcis->vec2_B);CHKERRQ(ierr);
649   /* Application of local Schur complement */
650   ierr = MatMult(pc_ctx->S_j,pcis->vec2_B,pcis->vec1_B);CHKERRQ(ierr);
651   /* Application of B_Ddelta */
652   ierr = MatMult(pc_ctx->B_Ddelta,pcis->vec1_B,pc_ctx->lambda_local);CHKERRQ(ierr);
653   ierr = VecSet(y,0.0);CHKERRQ(ierr);
654   ierr = VecScatterBegin(pc_ctx->l2g_lambda,pc_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
655   ierr = VecScatterEnd(pc_ctx->l2g_lambda,pc_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
656   PetscFunctionReturn(0);
657 }
658 
659 #undef __FUNCT__
660 #define __FUNCT__ "FETIDPPCApplyTranspose"
661 PetscErrorCode FETIDPPCApplyTranspose(PC fetipc, Vec x, Vec y)
662 {
663   FETIDPPC_ctx   pc_ctx;
664   PC_IS          *pcis;
665   PetscErrorCode ierr;
666 
667   PetscFunctionBegin;
668   ierr = PCShellGetContext(fetipc,(void**)&pc_ctx);CHKERRQ(ierr);
669   pcis = (PC_IS*)pc_ctx->pc->data;
670   /* Application of B_Ddelta^T */
671   ierr = VecScatterBegin(pc_ctx->l2g_lambda,x,pc_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
672   ierr = VecScatterEnd(pc_ctx->l2g_lambda,x,pc_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
673   ierr = VecSet(pcis->vec2_B,0.0);CHKERRQ(ierr);
674   ierr = MatMultTranspose(pc_ctx->B_Ddelta,pc_ctx->lambda_local,pcis->vec2_B);CHKERRQ(ierr);
675   /* Application of local Schur complement */
676   ierr = MatMultTranspose(pc_ctx->S_j,pcis->vec2_B,pcis->vec1_B);CHKERRQ(ierr);
677   /* Application of B_Ddelta */
678   ierr = MatMult(pc_ctx->B_Ddelta,pcis->vec1_B,pc_ctx->lambda_local);CHKERRQ(ierr);
679   ierr = VecSet(y,0.0);CHKERRQ(ierr);
680   ierr = VecScatterBegin(pc_ctx->l2g_lambda,pc_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
681   ierr = VecScatterEnd(pc_ctx->l2g_lambda,pc_ctx->lambda_local,y,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
682   PetscFunctionReturn(0);
683 }
684