xref: /petsc/src/ksp/pc/impls/bddc/bddcschurs.c (revision 06a4e24a4ea34074cd1dc021a3bf2cd6abf1fe12) 
1 #include <../src/ksp/pc/impls/bddc/bddc.h>
2 #include <../src/ksp/pc/impls/bddc/bddcprivate.h>
3 #include <petscblaslapack.h>
4 
5 PETSC_STATIC_INLINE PetscErrorCode PCBDDCAdjGetNextLayer_Private(PetscInt*,PetscInt,PetscBT,PetscInt*,PetscInt*,PetscInt*);
6 static PetscErrorCode PCBDDCComputeExplicitSchur(Mat,PetscBool,MatReuse,Mat*);
7 static PetscErrorCode PCBDDCMumpsInteriorSolve(PC,Vec,Vec);
8 static PetscErrorCode PCBDDCMumpsCorrectionSolve(PC,Vec,Vec);
9 
10 #undef __FUNCT__
11 #define __FUNCT__ "PCBDDCMumpsCorrectionSolve_Private"
12 static PetscErrorCode PCBDDCMumpsCorrectionSolve_Private(PC pc, Vec rhs, Vec sol, PetscBool transpose)
13 {
14   PCBDDCReuseMumps ctx;
15 #if defined(PETSC_HAVE_MUMPS)
16   PetscInt         ival;
17 #endif
18   PetscErrorCode   ierr;
19 
20   PetscFunctionBegin;
21   ierr = PCShellGetContext(pc,(void **)&ctx);CHKERRQ(ierr);
22 #if defined(PETSC_HAVE_MUMPS)
23   ierr = MatMumpsGetIcntl(ctx->F,26,&ival);CHKERRQ(ierr);
24   ierr = MatMumpsSetIcntl(ctx->F,26,-1);CHKERRQ(ierr);
25 #endif
26   if (transpose) {
27     ierr = MatSolveTranspose(ctx->F,rhs,sol);CHKERRQ(ierr);
28   } else {
29     ierr = MatSolve(ctx->F,rhs,sol);CHKERRQ(ierr);
30   }
31 #if defined(PETSC_HAVE_MUMPS)
32   ierr = MatMumpsSetIcntl(ctx->F,26,ival);CHKERRQ(ierr);
33 #endif
34   PetscFunctionReturn(0);
35 }
36 
37 #undef __FUNCT__
38 #define __FUNCT__ "PCBDDCMumpsCorrectionSolve"
39 static PetscErrorCode PCBDDCMumpsCorrectionSolve(PC pc, Vec rhs, Vec sol)
40 {
41   PetscErrorCode   ierr;
42 
43   PetscFunctionBegin;
44   ierr = PCBDDCMumpsCorrectionSolve_Private(pc,rhs,sol,PETSC_FALSE);CHKERRQ(ierr);
45   PetscFunctionReturn(0);
46 }
47 
48 #undef __FUNCT__
49 #define __FUNCT__ "PCBDDCMumpsCorrectionSolveTranspose"
50 static PetscErrorCode PCBDDCMumpsCorrectionSolveTranspose(PC pc, Vec rhs, Vec sol)
51 {
52   PetscErrorCode   ierr;
53 
54   PetscFunctionBegin;
55   ierr = PCBDDCMumpsCorrectionSolve_Private(pc,rhs,sol,PETSC_TRUE);CHKERRQ(ierr);
56   PetscFunctionReturn(0);
57 }
58 
59 #undef __FUNCT__
60 #define __FUNCT__ "PCBDDCReuseMumpsReset"
61 static PetscErrorCode PCBDDCReuseMumpsReset(PCBDDCReuseMumps reuse)
62 {
63   PetscErrorCode ierr;
64 
65   PetscFunctionBegin;
66   ierr = MatDestroy(&reuse->F);CHKERRQ(ierr);
67   ierr = VecDestroy(&reuse->sol);CHKERRQ(ierr);
68   ierr = VecDestroy(&reuse->rhs);CHKERRQ(ierr);
69   ierr = PCDestroy(&reuse->interior_solver);CHKERRQ(ierr);
70   ierr = PCDestroy(&reuse->correction_solver);CHKERRQ(ierr);
71   ierr = ISDestroy(&reuse->is_R);CHKERRQ(ierr);
72   ierr = ISDestroy(&reuse->is_B);CHKERRQ(ierr);
73   ierr = VecScatterDestroy(&reuse->correction_scatter_B);CHKERRQ(ierr);
74   ierr = VecDestroy(&reuse->sol_B);CHKERRQ(ierr);
75   ierr = VecDestroy(&reuse->rhs_B);CHKERRQ(ierr);
76   PetscFunctionReturn(0);
77 }
78 
79 #undef __FUNCT__
80 #define __FUNCT__ "PCBDDCMumpsInteriorSolve_Private"
81 static PetscErrorCode PCBDDCMumpsInteriorSolve_Private(PC pc, Vec rhs, Vec sol, PetscBool transpose)
82 {
83   PCBDDCReuseMumps ctx;
84   PetscScalar      *array,*array_mumps;
85 #if defined(PETSC_HAVE_MUMPS)
86   PetscInt         ival;
87 #endif
88   PetscErrorCode   ierr;
89 
90   PetscFunctionBegin;
91   ierr = PCShellGetContext(pc,(void **)&ctx);CHKERRQ(ierr);
92 #if defined(PETSC_HAVE_MUMPS)
93   ierr = MatMumpsGetIcntl(ctx->F,26,&ival);CHKERRQ(ierr);
94   ierr = MatMumpsSetIcntl(ctx->F,26,0);CHKERRQ(ierr);
95 #endif
96   /* copy rhs into factored matrix workspace (can it be avoided?, MatSolve_MUMPS has another copy b->x internally) */
97   ierr = VecGetArrayRead(rhs,(const PetscScalar**)&array);CHKERRQ(ierr);
98   ierr = VecGetArray(ctx->rhs,&array_mumps);CHKERRQ(ierr);
99   ierr = PetscMemcpy(array_mumps,array,ctx->n_I*sizeof(PetscScalar));CHKERRQ(ierr);
100   ierr = VecRestoreArray(ctx->rhs,&array_mumps);CHKERRQ(ierr);
101   ierr = VecRestoreArrayRead(rhs,(const PetscScalar**)&array);CHKERRQ(ierr);
102 
103   if (transpose) {
104     ierr = MatSolveTranspose(ctx->F,ctx->rhs,ctx->sol);CHKERRQ(ierr);
105   } else {
106     ierr = MatSolve(ctx->F,ctx->rhs,ctx->sol);CHKERRQ(ierr);
107   }
108 
109   /* get back data to caller worskpace */
110   ierr = VecGetArrayRead(ctx->sol,(const PetscScalar**)&array_mumps);CHKERRQ(ierr);
111   ierr = VecGetArray(sol,&array);CHKERRQ(ierr);
112   ierr = PetscMemcpy(array,array_mumps,ctx->n_I*sizeof(PetscScalar));CHKERRQ(ierr);
113   ierr = VecRestoreArray(sol,&array);CHKERRQ(ierr);
114   ierr = VecRestoreArrayRead(ctx->sol,(const PetscScalar**)&array_mumps);CHKERRQ(ierr);
115 #if defined(PETSC_HAVE_MUMPS)
116   ierr = MatMumpsSetIcntl(ctx->F,26,ival);CHKERRQ(ierr);
117 #endif
118   PetscFunctionReturn(0);
119 }
120 
121 #undef __FUNCT__
122 #define __FUNCT__ "PCBDDCMumpsInteriorSolve"
123 static PetscErrorCode PCBDDCMumpsInteriorSolve(PC pc, Vec rhs, Vec sol)
124 {
125   PetscErrorCode   ierr;
126 
127   PetscFunctionBegin;
128   ierr = PCBDDCMumpsInteriorSolve_Private(pc,rhs,sol,PETSC_FALSE);CHKERRQ(ierr);
129   PetscFunctionReturn(0);
130 }
131 
132 #undef __FUNCT__
133 #define __FUNCT__ "PCBDDCMumpsInteriorSolveTranspose"
134 static PetscErrorCode PCBDDCMumpsInteriorSolveTranspose(PC pc, Vec rhs, Vec sol)
135 {
136   PetscErrorCode   ierr;
137 
138   PetscFunctionBegin;
139   ierr = PCBDDCMumpsInteriorSolve_Private(pc,rhs,sol,PETSC_TRUE);CHKERRQ(ierr);
140   PetscFunctionReturn(0);
141 }
142 
143 #undef __FUNCT__
144 #define __FUNCT__ "PCBDDCComputeExplicitSchur"
145 static PetscErrorCode PCBDDCComputeExplicitSchur(Mat M, PetscBool issym, MatReuse reuse, Mat *S)
146 {
147   Mat            B, C, D, Bd, Cd, AinvBd;
148   KSP            ksp;
149   PC             pc;
150   PetscBool      isLU, isILU, isCHOL, Bdense, Cdense;
151   PetscReal      fill = 2.0;
152   PetscInt       n_I;
153   PetscMPIInt    size;
154   PetscErrorCode ierr;
155 
156   PetscFunctionBegin;
157   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)M),&size);CHKERRQ(ierr);
158   if (size != 1) {
159     SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Not for parallel matrices");
160   }
161   if (reuse == MAT_REUSE_MATRIX) {
162     PetscBool Sdense;
163 
164     ierr = PetscObjectTypeCompare((PetscObject)*S, MATSEQDENSE, &Sdense);CHKERRQ(ierr);
165     if (!Sdense) {
166       SETERRQ(PetscObjectComm((PetscObject)M),PETSC_ERR_SUP,"S should dense");
167     }
168   }
169   ierr = MatSchurComplementGetSubMatrices(M, NULL, NULL, &B, &C, &D);CHKERRQ(ierr);
170   ierr = MatSchurComplementGetKSP(M, &ksp);CHKERRQ(ierr);
171   ierr = KSPGetPC(ksp, &pc);CHKERRQ(ierr);
172   ierr = PetscObjectTypeCompare((PetscObject) pc, PCLU, &isLU);CHKERRQ(ierr);
173   ierr = PetscObjectTypeCompare((PetscObject) pc, PCILU, &isILU);CHKERRQ(ierr);
174   ierr = PetscObjectTypeCompare((PetscObject) pc, PCCHOLESKY, &isCHOL);CHKERRQ(ierr);
175   ierr = PetscObjectTypeCompare((PetscObject) B, MATSEQDENSE, &Bdense);CHKERRQ(ierr);
176   ierr = PetscObjectTypeCompare((PetscObject) C, MATSEQDENSE, &Cdense);CHKERRQ(ierr);
177   ierr = MatGetSize(B,&n_I,NULL);CHKERRQ(ierr);
178   if (n_I) {
179     if (!Bdense) {
180       ierr = MatConvert(B, MATSEQDENSE, MAT_INITIAL_MATRIX, &Bd);CHKERRQ(ierr);
181     } else {
182       Bd = B;
183     }
184 
185     if (isLU || isILU || isCHOL) {
186       Mat fact;
187       ierr = KSPSetUp(ksp);CHKERRQ(ierr);
188       ierr = PCFactorGetMatrix(pc, &fact);CHKERRQ(ierr);
189       ierr = MatDuplicate(Bd, MAT_DO_NOT_COPY_VALUES, &AinvBd);CHKERRQ(ierr);
190       ierr = MatMatSolve(fact, Bd, AinvBd);CHKERRQ(ierr);
191     } else {
192       PetscBool ex = PETSC_TRUE;
193 
194       if (ex) {
195         Mat Ainvd;
196 
197         ierr = PCComputeExplicitOperator(pc, &Ainvd);CHKERRQ(ierr);
198         ierr = MatMatMult(Ainvd, Bd, MAT_INITIAL_MATRIX, fill, &AinvBd);CHKERRQ(ierr);
199         ierr = MatDestroy(&Ainvd);CHKERRQ(ierr);
200       } else {
201         Vec         sol,rhs;
202         PetscScalar *arrayrhs,*arraysol;
203         PetscInt    i,nrhs,n;
204 
205         ierr = MatDuplicate(Bd, MAT_DO_NOT_COPY_VALUES, &AinvBd);CHKERRQ(ierr);
206         ierr = MatGetSize(Bd,&n,&nrhs);CHKERRQ(ierr);
207         ierr = MatDenseGetArray(Bd,&arrayrhs);CHKERRQ(ierr);
208         ierr = MatDenseGetArray(AinvBd,&arraysol);CHKERRQ(ierr);
209         ierr = KSPGetSolution(ksp,&sol);CHKERRQ(ierr);
210         ierr = KSPGetRhs(ksp,&rhs);CHKERRQ(ierr);
211         for (i=0;i<nrhs;i++) {
212           ierr = VecPlaceArray(rhs,arrayrhs+i*n);CHKERRQ(ierr);
213           ierr = VecPlaceArray(sol,arraysol+i*n);CHKERRQ(ierr);
214           ierr = KSPSolve(ksp,rhs,sol);CHKERRQ(ierr);
215           ierr = VecResetArray(rhs);CHKERRQ(ierr);
216           ierr = VecResetArray(sol);CHKERRQ(ierr);
217         }
218         ierr = MatDenseRestoreArray(Bd,&arrayrhs);CHKERRQ(ierr);
219         ierr = MatDenseRestoreArray(AinvBd,&arrayrhs);CHKERRQ(ierr);
220       }
221     }
222     if (!Bdense & !issym) {
223       ierr = MatDestroy(&Bd);CHKERRQ(ierr);
224     }
225 
226     if (!issym) {
227       if (!Cdense) {
228         ierr = MatConvert(C, MATSEQDENSE, MAT_INITIAL_MATRIX, &Cd);CHKERRQ(ierr);
229       } else {
230         Cd = C;
231       }
232       ierr = MatMatMult(Cd, AinvBd, reuse, fill, S);CHKERRQ(ierr);
233       if (!Cdense) {
234         ierr = MatDestroy(&Cd);CHKERRQ(ierr);
235       }
236     } else {
237       ierr = MatTransposeMatMult(Bd, AinvBd, reuse, fill, S);CHKERRQ(ierr);
238       if (!Bdense) {
239         ierr = MatDestroy(&Bd);CHKERRQ(ierr);
240       }
241     }
242     ierr = MatDestroy(&AinvBd);CHKERRQ(ierr);
243   }
244 
245   if (D) {
246     Mat       Dd;
247     PetscBool Ddense;
248 
249     ierr = PetscObjectTypeCompare((PetscObject)D,MATSEQDENSE,&Ddense);CHKERRQ(ierr);
250     if (!Ddense) {
251       ierr = MatConvert(D, MATSEQDENSE, MAT_INITIAL_MATRIX, &Dd);CHKERRQ(ierr);
252     } else {
253       Dd = D;
254     }
255     if (n_I) {
256       ierr = MatAYPX(*S,-1.0,Dd,SAME_NONZERO_PATTERN);CHKERRQ(ierr);
257     } else {
258       if (reuse == MAT_INITIAL_MATRIX) {
259         ierr = MatDuplicate(Dd,MAT_COPY_VALUES,S);CHKERRQ(ierr);
260       } else {
261         ierr = MatCopy(Dd,*S,SAME_NONZERO_PATTERN);CHKERRQ(ierr);
262       }
263     }
264     if (!Ddense) {
265       ierr = MatDestroy(&Dd);CHKERRQ(ierr);
266     }
267   } else {
268     ierr = MatScale(*S,-1.0);CHKERRQ(ierr);
269   }
270   PetscFunctionReturn(0);
271 }
272 
273 #undef __FUNCT__
274 #define __FUNCT__ "PCBDDCSubSchursSetUp"
275 PetscErrorCode PCBDDCSubSchursSetUp(PCBDDCSubSchurs sub_schurs, Mat Ain, Mat Sin, PetscInt xadj[], PetscInt adjncy[], PetscInt nlayers, PetscBool faster_deluxe, PetscBool compute_Stilda, PetscBool reuse_solvers, PetscBool benign_trick)
276 {
277   Mat                    F,A_II,A_IB,A_BI,A_BB,AE_II;
278   Mat                    S_all;
279   Mat                    global_schur_subsets,work_mat,*submats;
280   ISLocalToGlobalMapping l2gmap_subsets;
281   IS                     is_I,is_I_layer;
282   IS                     all_subsets,all_subsets_mult,all_subsets_n;
283   PetscInt               *nnz,*all_local_idx_N;
284   PetscInt               *auxnum1,*auxnum2;
285   PetscInt               i,subset_size,max_subset_size;
286   PetscInt               extra,local_size,global_size;
287   PetscBLASInt           B_N,B_ierr,B_lwork,*pivots;
288   PetscScalar            *Bwork;
289   PetscSubcomm           subcomm;
290   PetscMPIInt            color,rank;
291   MPI_Comm               comm_n;
292   PetscBool              use_getr = PETSC_FALSE;
293   PetscErrorCode         ierr;
294 
295   PetscFunctionBegin;
296   /* update info in sub_schurs */
297   ierr = MatDestroy(&sub_schurs->A);CHKERRQ(ierr);
298   ierr = MatDestroy(&sub_schurs->S);CHKERRQ(ierr);
299   sub_schurs->is_hermitian = PETSC_FALSE;
300   sub_schurs->is_posdef = PETSC_FALSE;
301   if (Ain) {
302     PetscBool isseqaij;
303     /* determine if we are dealing with hermitian positive definite problems */
304 #if !defined(PETSC_USE_COMPLEX)
305     if (Ain->symmetric_set) {
306       sub_schurs->is_hermitian = Ain->symmetric;
307     }
308 #else
309     if (Ain->hermitian_set) {
310       sub_schurs->is_hermitian = Ain->hermitian;
311     }
312 #endif
313     if (Ain->spd_set) {
314       sub_schurs->is_posdef = Ain->spd;
315     }
316 
317     /* check */
318     ierr = PetscObjectTypeCompare((PetscObject)Ain,MATSEQAIJ,&isseqaij);CHKERRQ(ierr);
319     if (compute_Stilda && (!Ain->hermitian_set || !Ain->spd_set)) {
320       PetscInt lsize;
321 
322       ierr = MatGetSize(Ain,&lsize,NULL);CHKERRQ(ierr);
323       if (lsize) {
324         PetscScalar val;
325         PetscReal   norm;
326         Vec         vec1,vec2,vec3;
327 
328         ierr = MatCreateVecs(Ain,&vec1,&vec2);CHKERRQ(ierr);
329         ierr = VecDuplicate(vec1,&vec3);CHKERRQ(ierr);
330         ierr = VecSetRandom(vec1,NULL);CHKERRQ(ierr);
331         ierr = MatMult(Ain,vec1,vec2);CHKERRQ(ierr);
332 #if !defined(PETSC_USE_COMPLEX)
333         ierr = MatMultTranspose(Ain,vec1,vec3);CHKERRQ(ierr);
334 #else
335         ierr = MatMultHermitianTranspose(Ain,vec1,vec3);CHKERRQ(ierr);
336 #endif
337         ierr = VecAXPY(vec3,-1.0,vec2);CHKERRQ(ierr);
338         ierr = VecNorm(vec3,NORM_INFINITY,&norm);CHKERRQ(ierr);
339         if (norm > PetscSqrtReal(PETSC_SMALL)) {
340           sub_schurs->is_hermitian = PETSC_FALSE;
341         } else {
342           sub_schurs->is_hermitian = PETSC_TRUE;
343         }
344         if (!Ain->spd_set) {
345           ierr = VecDot(vec1,vec2,&val);CHKERRQ(ierr);
346           if (PetscRealPart(val) > 0. && PetscAbsReal(PetscImaginaryPart(val)) < PETSC_SMALL) sub_schurs->is_posdef = PETSC_TRUE;
347         }
348         ierr = VecDestroy(&vec1);CHKERRQ(ierr);
349         ierr = VecDestroy(&vec2);CHKERRQ(ierr);
350         ierr = VecDestroy(&vec3);CHKERRQ(ierr);
351       } else {
352         sub_schurs->is_hermitian = PETSC_TRUE;
353         sub_schurs->is_posdef = PETSC_TRUE;
354       }
355     }
356     if (isseqaij) {
357       ierr = PetscObjectReference((PetscObject)Ain);CHKERRQ(ierr);
358       sub_schurs->A = Ain;
359     } else {
360       ierr = MatConvert(Ain,MATSEQAIJ,MAT_INITIAL_MATRIX,&sub_schurs->A);CHKERRQ(ierr);
361     }
362   }
363 
364   ierr = PetscObjectReference((PetscObject)Sin);CHKERRQ(ierr);
365   sub_schurs->S = Sin;
366   if (sub_schurs->use_mumps) {
367     sub_schurs->use_mumps = (PetscBool)(!!sub_schurs->A);
368   }
369 
370   /* preliminary checks */
371   if (!sub_schurs->use_mumps && compute_Stilda) {
372     SETERRQ(PetscObjectComm((PetscObject)sub_schurs->l2gmap),PETSC_ERR_SUP,"Adaptive selection of constraints requires MUMPS");
373   }
374 
375   /* restrict work on active processes */
376   color = 0;
377   if (!sub_schurs->n_subs) color = 1; /* this can happen if we are in a multilevel case or if the subdomain is disconnected */
378   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)sub_schurs->l2gmap),&rank);CHKERRQ(ierr);
379   ierr = PetscSubcommCreate(PetscObjectComm((PetscObject)sub_schurs->l2gmap),&subcomm);CHKERRQ(ierr);
380   ierr = PetscSubcommSetNumber(subcomm,2);CHKERRQ(ierr);
381   ierr = PetscSubcommSetTypeGeneral(subcomm,color,rank);CHKERRQ(ierr);
382   ierr = PetscCommDuplicate(PetscSubcommChild(subcomm),&comm_n,NULL);CHKERRQ(ierr);
383   ierr = PetscSubcommDestroy(&subcomm);CHKERRQ(ierr);
384   if (!sub_schurs->n_subs) {
385     ierr = PetscCommDestroy(&comm_n);CHKERRQ(ierr);
386     PetscFunctionReturn(0);
387   }
388   /* ierr = PetscCommDuplicate(PetscObjectComm((PetscObject)sub_schurs->l2gmap),&comm_n,NULL);CHKERRQ(ierr); */
389 
390   /* get Schur complement matrices */
391   if (!sub_schurs->use_mumps) {
392     Mat       tA_IB,tA_BI,tA_BB;
393     PetscBool isseqsbaij;
394     ierr = MatSchurComplementGetSubMatrices(sub_schurs->S,&A_II,NULL,&tA_IB,&tA_BI,&tA_BB);CHKERRQ(ierr);
395     ierr = PetscObjectTypeCompare((PetscObject)tA_BB,MATSEQSBAIJ,&isseqsbaij);CHKERRQ(ierr);
396     if (isseqsbaij) {
397       ierr = MatConvert(tA_BB,MATSEQAIJ,MAT_INITIAL_MATRIX,&A_BB);CHKERRQ(ierr);
398       ierr = MatConvert(tA_IB,MATSEQAIJ,MAT_INITIAL_MATRIX,&A_IB);CHKERRQ(ierr);
399       ierr = MatConvert(tA_BI,MATSEQAIJ,MAT_INITIAL_MATRIX,&A_BI);CHKERRQ(ierr);
400     } else {
401       ierr = PetscObjectReference((PetscObject)tA_BB);CHKERRQ(ierr);
402       A_BB = tA_BB;
403       ierr = PetscObjectReference((PetscObject)tA_IB);CHKERRQ(ierr);
404       A_IB = tA_IB;
405       ierr = PetscObjectReference((PetscObject)tA_BI);CHKERRQ(ierr);
406       A_BI = tA_BI;
407     }
408   } else {
409     A_II = NULL;
410     A_IB = NULL;
411     A_BI = NULL;
412     A_BB = NULL;
413   }
414   S_all = NULL;
415 
416   /* determine interior problems */
417   ierr = ISGetLocalSize(sub_schurs->is_I,&i);CHKERRQ(ierr);
418   if (nlayers >= 0 && i) { /* Interior problems can be different from the original one */
419     PetscBT                touched;
420     const PetscInt*        idx_B;
421     PetscInt               n_I,n_B,n_local_dofs,n_prev_added,j,layer,*local_numbering;
422 
423     if (xadj == NULL || adjncy == NULL) {
424       SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Cannot request layering without adjacency");
425     }
426     /* get sizes */
427     ierr = ISGetLocalSize(sub_schurs->is_I,&n_I);CHKERRQ(ierr);
428     ierr = ISGetLocalSize(sub_schurs->is_B,&n_B);CHKERRQ(ierr);
429 
430     ierr = PetscMalloc1(n_I+n_B,&local_numbering);CHKERRQ(ierr);
431     ierr = PetscBTCreate(n_I+n_B,&touched);CHKERRQ(ierr);
432     ierr = PetscBTMemzero(n_I+n_B,touched);CHKERRQ(ierr);
433 
434     /* all boundary dofs must be skipped when adding layers */
435     ierr = ISGetIndices(sub_schurs->is_B,&idx_B);CHKERRQ(ierr);
436     for (j=0;j<n_B;j++) {
437       ierr = PetscBTSet(touched,idx_B[j]);CHKERRQ(ierr);
438     }
439     ierr = PetscMemcpy(local_numbering,idx_B,n_B*sizeof(PetscInt));CHKERRQ(ierr);
440     ierr = ISRestoreIndices(sub_schurs->is_B,&idx_B);CHKERRQ(ierr);
441 
442     /* add prescribed number of layers of dofs */
443     n_local_dofs = n_B;
444     n_prev_added = n_B;
445     for (layer=0;layer<nlayers;layer++) {
446       PetscInt n_added;
447       if (n_local_dofs == n_I+n_B) break;
448       if (n_local_dofs > n_I+n_B) {
449         SETERRQ3(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Error querying layer %d. Out of bound access (%d > %d)",layer,n_local_dofs,n_I+n_B);
450       }
451       ierr = PCBDDCAdjGetNextLayer_Private(local_numbering+n_local_dofs,n_prev_added,touched,xadj,adjncy,&n_added);CHKERRQ(ierr);
452       n_prev_added = n_added;
453       n_local_dofs += n_added;
454       if (!n_added) break;
455     }
456     ierr = PetscBTDestroy(&touched);CHKERRQ(ierr);
457 
458     /* IS for I layer dofs in original numbering */
459     ierr = ISCreateGeneral(PetscObjectComm((PetscObject)sub_schurs->is_I),n_local_dofs-n_B,local_numbering+n_B,PETSC_COPY_VALUES,&is_I_layer);CHKERRQ(ierr);
460     ierr = PetscFree(local_numbering);CHKERRQ(ierr);
461     ierr = ISSort(is_I_layer);CHKERRQ(ierr);
462     /* IS for I layer dofs in I numbering */
463     if (!sub_schurs->use_mumps) {
464       ISLocalToGlobalMapping ItoNmap;
465       ierr = ISLocalToGlobalMappingCreateIS(sub_schurs->is_I,&ItoNmap);CHKERRQ(ierr);
466       ierr = ISGlobalToLocalMappingApplyIS(ItoNmap,IS_GTOLM_DROP,is_I_layer,&is_I);CHKERRQ(ierr);
467       ierr = ISLocalToGlobalMappingDestroy(&ItoNmap);CHKERRQ(ierr);
468 
469       /* II block */
470       ierr = MatGetSubMatrix(A_II,is_I,is_I,MAT_INITIAL_MATRIX,&AE_II);CHKERRQ(ierr);
471     }
472   } else {
473     PetscInt n_I;
474 
475     /* IS for I dofs in original numbering */
476     ierr = PetscObjectReference((PetscObject)sub_schurs->is_I);CHKERRQ(ierr);
477     is_I_layer = sub_schurs->is_I;
478 
479     /* IS for I dofs in I numbering (strided 1) */
480     if (!sub_schurs->use_mumps) {
481       ierr = ISGetSize(sub_schurs->is_I,&n_I);CHKERRQ(ierr);
482       ierr = ISCreateStride(PetscObjectComm((PetscObject)sub_schurs->is_I),n_I,0,1,&is_I);CHKERRQ(ierr);
483 
484       /* II block is the same */
485       ierr = PetscObjectReference((PetscObject)A_II);CHKERRQ(ierr);
486       AE_II = A_II;
487     }
488   }
489 
490   /* Get info on subset sizes and sum of all subsets sizes */
491   max_subset_size = 0;
492   local_size = 0;
493   for (i=0;i<sub_schurs->n_subs;i++) {
494     ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr);
495     max_subset_size = PetscMax(subset_size,max_subset_size);
496     local_size += subset_size;
497   }
498 
499   /* Work arrays for local indices */
500   extra = 0;
501   if (sub_schurs->use_mumps && is_I_layer) {
502     ierr = ISGetLocalSize(is_I_layer,&extra);CHKERRQ(ierr);
503   }
504   ierr = PetscMalloc1(local_size+extra,&all_local_idx_N);CHKERRQ(ierr);
505   if (extra) {
506     const PetscInt *idxs;
507     ierr = ISGetIndices(is_I_layer,&idxs);CHKERRQ(ierr);
508     ierr = PetscMemcpy(all_local_idx_N,idxs,extra*sizeof(PetscInt));CHKERRQ(ierr);
509     ierr = ISRestoreIndices(is_I_layer,&idxs);CHKERRQ(ierr);
510   }
511   ierr = PetscMalloc1(local_size,&nnz);CHKERRQ(ierr);
512   ierr = PetscMalloc1(sub_schurs->n_subs,&auxnum1);CHKERRQ(ierr);
513   ierr = PetscMalloc1(sub_schurs->n_subs,&auxnum2);CHKERRQ(ierr);
514 
515   /* Get local indices in local numbering */
516   local_size = 0;
517   for (i=0;i<sub_schurs->n_subs;i++) {
518     PetscInt j;
519     const    PetscInt *idxs;
520 
521     ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr);
522     ierr = ISGetIndices(sub_schurs->is_subs[i],&idxs);CHKERRQ(ierr);
523     /* start (smallest in global ordering) and multiplicity */
524     auxnum1[i] = idxs[0];
525     auxnum2[i] = subset_size;
526     /* subset indices in local numbering */
527     ierr = PetscMemcpy(all_local_idx_N+local_size+extra,idxs,subset_size*sizeof(PetscInt));CHKERRQ(ierr);
528     ierr = ISRestoreIndices(sub_schurs->is_subs[i],&idxs);CHKERRQ(ierr);
529     for (j=0;j<subset_size;j++) nnz[local_size+j] = subset_size;
530     local_size += subset_size;
531   }
532 
533   /* allocate extra workspace needed only for GETRI */
534   Bwork = NULL;
535   pivots = NULL;
536   if (local_size && !benign_trick && (!sub_schurs->is_hermitian || !sub_schurs->is_posdef)) {
537     PetscScalar lwork;
538 
539     use_getr = PETSC_TRUE;
540     B_lwork = -1;
541     ierr = PetscBLASIntCast(local_size,&B_N);CHKERRQ(ierr);
542     ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
543     PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,Bwork,&B_N,pivots,&lwork,&B_lwork,&B_ierr));
544     ierr = PetscFPTrapPop();CHKERRQ(ierr);
545     if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in query to GETRI Lapack routine %d",(int)B_ierr);
546     ierr = PetscBLASIntCast((PetscInt)PetscRealPart(lwork),&B_lwork);CHKERRQ(ierr);
547     ierr = PetscMalloc2(B_lwork,&Bwork,B_N,&pivots);CHKERRQ(ierr);
548   }
549 
550   /* prepare parallel matrices for summing up properly schurs on subsets */
551   ierr = ISCreateGeneral(comm_n,sub_schurs->n_subs,auxnum1,PETSC_OWN_POINTER,&all_subsets_n);CHKERRQ(ierr);
552   ierr = ISLocalToGlobalMappingApplyIS(sub_schurs->l2gmap,all_subsets_n,&all_subsets);CHKERRQ(ierr);
553   ierr = ISDestroy(&all_subsets_n);CHKERRQ(ierr);
554   ierr = ISCreateGeneral(comm_n,sub_schurs->n_subs,auxnum2,PETSC_OWN_POINTER,&all_subsets_mult);CHKERRQ(ierr);
555   ierr = PCBDDCSubsetNumbering(all_subsets,all_subsets_mult,&global_size,&all_subsets_n);CHKERRQ(ierr);
556   ierr = ISDestroy(&all_subsets);CHKERRQ(ierr);
557   ierr = ISDestroy(&all_subsets_mult);CHKERRQ(ierr);
558   ierr = ISGetLocalSize(all_subsets_n,&i);CHKERRQ(ierr);
559   if (i != local_size) {
560     SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Invalid size of new subset! %d != %d",i,local_size);
561   }
562   ierr = ISLocalToGlobalMappingCreateIS(all_subsets_n,&l2gmap_subsets);CHKERRQ(ierr);
563   ierr = MatCreateIS(comm_n,1,PETSC_DECIDE,PETSC_DECIDE,global_size,global_size,l2gmap_subsets,NULL,&work_mat);CHKERRQ(ierr);
564   ierr = ISLocalToGlobalMappingDestroy(&l2gmap_subsets);CHKERRQ(ierr);
565   ierr = MatCreate(PetscObjectComm((PetscObject)work_mat),&global_schur_subsets);CHKERRQ(ierr);
566   ierr = MatSetSizes(global_schur_subsets,PETSC_DECIDE,PETSC_DECIDE,global_size,global_size);CHKERRQ(ierr);
567   ierr = MatSetType(global_schur_subsets,MATMPIAIJ);CHKERRQ(ierr);
568 
569   /* subset indices in local boundary numbering */
570   if (!sub_schurs->is_Ej_all) {
571     PetscInt *all_local_idx_B;
572 
573     ierr = PetscMalloc1(local_size,&all_local_idx_B);CHKERRQ(ierr);
574     ierr = ISGlobalToLocalMappingApply(sub_schurs->BtoNmap,IS_GTOLM_DROP,local_size,all_local_idx_N+extra,&subset_size,all_local_idx_B);CHKERRQ(ierr);
575     if (subset_size != local_size) {
576       SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Error in sub_schurs serial (BtoNmap)! %d != %d\n",subset_size,local_size);
577     }
578     ierr = ISCreateGeneral(PETSC_COMM_SELF,local_size,all_local_idx_B,PETSC_OWN_POINTER,&sub_schurs->is_Ej_all);CHKERRQ(ierr);
579   }
580 
581   /* Local matrix of all local Schur on subsets (transposed) */
582   if (!sub_schurs->S_Ej_all) {
583     ierr = MatCreate(PETSC_COMM_SELF,&sub_schurs->S_Ej_all);CHKERRQ(ierr);
584     ierr = MatSetSizes(sub_schurs->S_Ej_all,PETSC_DECIDE,PETSC_DECIDE,local_size,local_size);CHKERRQ(ierr);
585     ierr = MatSetType(sub_schurs->S_Ej_all,MATAIJ);CHKERRQ(ierr);
586     ierr = MatSeqAIJSetPreallocation(sub_schurs->S_Ej_all,0,nnz);CHKERRQ(ierr);
587   }
588 
589   /* Compute Schur complements explicitly */
590   F = NULL;
591   if (!sub_schurs->use_mumps) {
592     Mat         S_Ej_expl;
593     PetscScalar *work;
594     PetscInt    j,*dummy_idx;
595     PetscBool   Sdense;
596 
597     ierr = PetscMalloc2(max_subset_size,&dummy_idx,max_subset_size*max_subset_size,&work);CHKERRQ(ierr);
598     local_size = 0;
599     for (i=0;i<sub_schurs->n_subs;i++) {
600       IS  is_subset_B;
601       Mat AE_EE,AE_IE,AE_EI,S_Ej;
602 
603       /* subsets in original and boundary numbering */
604       ierr = ISGlobalToLocalMappingApplyIS(sub_schurs->BtoNmap,IS_GTOLM_DROP,sub_schurs->is_subs[i],&is_subset_B);CHKERRQ(ierr);
605       /* EE block */
606       ierr = MatGetSubMatrix(A_BB,is_subset_B,is_subset_B,MAT_INITIAL_MATRIX,&AE_EE);CHKERRQ(ierr);
607       /* IE block */
608       ierr = MatGetSubMatrix(A_IB,is_I,is_subset_B,MAT_INITIAL_MATRIX,&AE_IE);CHKERRQ(ierr);
609       /* EI block */
610       if (sub_schurs->is_hermitian) {
611         ierr = MatCreateTranspose(AE_IE,&AE_EI);CHKERRQ(ierr);
612       } else {
613         ierr = MatGetSubMatrix(A_BI,is_subset_B,is_I,MAT_INITIAL_MATRIX,&AE_EI);CHKERRQ(ierr);
614       }
615       ierr = ISDestroy(&is_subset_B);CHKERRQ(ierr);
616       ierr = MatCreateSchurComplement(AE_II,AE_II,AE_IE,AE_EI,AE_EE,&S_Ej);CHKERRQ(ierr);
617       ierr = MatDestroy(&AE_EE);CHKERRQ(ierr);
618       ierr = MatDestroy(&AE_IE);CHKERRQ(ierr);
619       ierr = MatDestroy(&AE_EI);CHKERRQ(ierr);
620       if (AE_II == A_II) { /* we can reuse the same ksp */
621         KSP ksp;
622         ierr = MatSchurComplementGetKSP(sub_schurs->S,&ksp);CHKERRQ(ierr);
623         ierr = MatSchurComplementSetKSP(S_Ej,ksp);CHKERRQ(ierr);
624       } else { /* build new ksp object which inherits ksp and pc types from the original one */
625         KSP       origksp,schurksp;
626         PC        origpc,schurpc;
627         KSPType   ksp_type;
628         PetscInt  n_internal;
629         PetscBool ispcnone;
630 
631         ierr = MatSchurComplementGetKSP(sub_schurs->S,&origksp);CHKERRQ(ierr);
632         ierr = MatSchurComplementGetKSP(S_Ej,&schurksp);CHKERRQ(ierr);
633         ierr = KSPGetType(origksp,&ksp_type);CHKERRQ(ierr);
634         ierr = KSPSetType(schurksp,ksp_type);CHKERRQ(ierr);
635         ierr = KSPGetPC(schurksp,&schurpc);CHKERRQ(ierr);
636         ierr = KSPGetPC(origksp,&origpc);CHKERRQ(ierr);
637         ierr = PetscObjectTypeCompare((PetscObject)origpc,PCNONE,&ispcnone);CHKERRQ(ierr);
638         if (!ispcnone) {
639           PCType pc_type;
640           ierr = PCGetType(origpc,&pc_type);CHKERRQ(ierr);
641           ierr = PCSetType(schurpc,pc_type);CHKERRQ(ierr);
642         } else {
643           ierr = PCSetType(schurpc,PCLU);CHKERRQ(ierr);
644         }
645         ierr = ISGetSize(is_I,&n_internal);CHKERRQ(ierr);
646         if (n_internal) { /* UMFPACK gives error with 0 sized problems */
647           MatSolverPackage solver=NULL;
648           ierr = PCFactorGetMatSolverPackage(origpc,(const MatSolverPackage*)&solver);CHKERRQ(ierr);
649           if (solver) {
650             ierr = PCFactorSetMatSolverPackage(schurpc,solver);CHKERRQ(ierr);
651           }
652         }
653         ierr = KSPSetUp(schurksp);CHKERRQ(ierr);
654       }
655       ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr);
656       ierr = MatCreateSeqDense(PETSC_COMM_SELF,subset_size,subset_size,work,&S_Ej_expl);CHKERRQ(ierr);
657       ierr = PCBDDCComputeExplicitSchur(S_Ej,sub_schurs->is_hermitian,MAT_REUSE_MATRIX,&S_Ej_expl);CHKERRQ(ierr);
658       ierr = PetscObjectTypeCompare((PetscObject)S_Ej_expl,MATSEQDENSE,&Sdense);CHKERRQ(ierr);
659       if (Sdense) {
660         for (j=0;j<subset_size;j++) {
661           dummy_idx[j]=local_size+j;
662         }
663         ierr = MatSetValues(sub_schurs->S_Ej_all,subset_size,dummy_idx,subset_size,dummy_idx,work,INSERT_VALUES);CHKERRQ(ierr);
664       } else {
665         SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Not yet implemented for sparse matrices");
666       }
667       ierr = MatDestroy(&S_Ej);CHKERRQ(ierr);
668       ierr = MatDestroy(&S_Ej_expl);CHKERRQ(ierr);
669       local_size += subset_size;
670     }
671     ierr = PetscFree2(dummy_idx,work);CHKERRQ(ierr);
672     /* free */
673     ierr = ISDestroy(&is_I);CHKERRQ(ierr);
674     ierr = MatDestroy(&AE_II);CHKERRQ(ierr);
675     ierr = PetscFree(all_local_idx_N);CHKERRQ(ierr);
676   } else {
677     Mat         A;
678     IS          is_A_all;
679     PetscScalar *work,*S_data;
680     PetscInt    *idxs_schur,n_I,n_I_all,*dummy_idx,size_schur,size_active_schur,cum,cum2;
681     PetscBool   mumps_S,S_upper_triangular = PETSC_FALSE;
682 
683     /* get working mat */
684     n_I = 0;
685     if (is_I_layer) {
686       ierr = ISGetLocalSize(is_I_layer,&n_I);CHKERRQ(ierr);
687     }
688     if (!sub_schurs->is_dir) {
689       ierr = ISCreateGeneral(PETSC_COMM_SELF,local_size+n_I,all_local_idx_N,PETSC_COPY_VALUES,&is_A_all);CHKERRQ(ierr);
690       size_schur = local_size;
691     } else {
692       IS list[2];
693 
694       ierr = ISCreateGeneral(PETSC_COMM_SELF,local_size+n_I,all_local_idx_N,PETSC_COPY_VALUES,&list[0]);CHKERRQ(ierr);
695       list[1] = sub_schurs->is_dir;
696       ierr = ISConcatenate(PETSC_COMM_SELF,2,list,&is_A_all);CHKERRQ(ierr);
697       ierr = ISDestroy(&list[0]);CHKERRQ(ierr);
698       ierr = ISGetLocalSize(sub_schurs->is_dir,&size_schur);CHKERRQ(ierr);
699       size_schur += local_size;
700     }
701     ierr = PetscFree(all_local_idx_N);CHKERRQ(ierr);
702     size_active_schur = local_size; /* size active schurs does not count any dirichlet dof on the interface */
703     ierr = MatGetSubMatrix(sub_schurs->A,is_A_all,is_A_all,MAT_INITIAL_MATRIX,&A);CHKERRQ(ierr);
704     ierr = MatSetOptionsPrefix(A,"sub_schurs_");CHKERRQ(ierr);
705     ierr = MatSetOption(A,MAT_SYMMETRIC,sub_schurs->is_hermitian);CHKERRQ(ierr);
706     ierr = MatSetOption(A,MAT_HERMITIAN,sub_schurs->is_hermitian);CHKERRQ(ierr);
707     ierr = MatSetOption(A,MAT_SPD,sub_schurs->is_posdef);CHKERRQ(ierr);
708 
709     if (n_I) {
710       if (sub_schurs->is_hermitian && sub_schurs->is_posdef) {
711         ierr = MatGetFactor(A,MATSOLVERMUMPS,MAT_FACTOR_CHOLESKY,&F);CHKERRQ(ierr);
712       } else {
713         ierr = MatGetFactor(A,MATSOLVERMUMPS,MAT_FACTOR_LU,&F);CHKERRQ(ierr);
714       }
715       /* subsets ordered last */
716       ierr = PetscMalloc1(size_schur,&idxs_schur);CHKERRQ(ierr);
717       for (i=0;i<size_schur;i++) {
718         idxs_schur[i] = n_I+i+1;
719       }
720 #if defined(PETSC_HAVE_MUMPS)
721       ierr = MatMumpsSetSchurIndices(F,size_schur,idxs_schur);CHKERRQ(ierr);
722 #endif
723       ierr = PetscFree(idxs_schur);CHKERRQ(ierr);
724 
725       /* factorization step */
726       if (sub_schurs->is_hermitian && sub_schurs->is_posdef) {
727         ierr = MatCholeskyFactorSymbolic(F,A,NULL,NULL);CHKERRQ(ierr);
728 #if defined(PETSC_HAVE_MUMPS) /* be sure that icntl 19 is not set by command line */
729         ierr = MatMumpsSetIcntl(F,19,2);CHKERRQ(ierr);
730 #endif
731         ierr = MatCholeskyFactorNumeric(F,A,NULL);CHKERRQ(ierr);
732         S_upper_triangular = PETSC_TRUE;
733       } else {
734         ierr = MatLUFactorSymbolic(F,A,NULL,NULL,NULL);CHKERRQ(ierr);
735 #if defined(PETSC_HAVE_MUMPS) /* be sure that icntl 19 is not set by command line */
736         ierr = MatMumpsSetIcntl(F,19,3);CHKERRQ(ierr);
737 #endif
738         ierr = MatLUFactorNumeric(F,A,NULL);CHKERRQ(ierr);
739       }
740 
741       /* get explicit Schur Complement computed during numeric factorization */
742 #if defined(PETSC_HAVE_MUMPS)
743       ierr = MatMumpsGetSchurComplement(F,&S_all);CHKERRQ(ierr);
744 #endif
745 
746       /* we can reuse the solvers if we are not using the economic version */
747       ierr = ISGetLocalSize(sub_schurs->is_I,&n_I_all);CHKERRQ(ierr);
748       reuse_solvers = (PetscBool)(reuse_solvers && (n_I == n_I_all));
749       mumps_S = PETSC_TRUE;
750     } else { /* we can't use MUMPS when size_schur == size_of_the_problem */
751       ierr = MatConvert(A,MATSEQDENSE,MAT_INITIAL_MATRIX,&S_all);CHKERRQ(ierr);
752       reuse_solvers = PETSC_FALSE;
753       mumps_S = PETSC_FALSE;
754     }
755 
756     /* when using te benign subspace trick, the local Schur complements are SPD */
757     if (benign_trick) sub_schurs->is_posdef = PETSC_TRUE;
758 
759     if (reuse_solvers) {
760       Mat              A_II;
761       Vec              vec1_B;
762       PCBDDCReuseMumps msolv_ctx;
763 
764       if (sub_schurs->reuse_mumps) {
765         ierr = PCBDDCReuseMumpsReset(sub_schurs->reuse_mumps);CHKERRQ(ierr);
766       } else {
767         ierr = PetscNew(&sub_schurs->reuse_mumps);CHKERRQ(ierr);
768       }
769       msolv_ctx = sub_schurs->reuse_mumps;
770       ierr = MatSchurComplementGetSubMatrices(sub_schurs->S,&A_II,NULL,NULL,NULL,NULL);CHKERRQ(ierr);
771       ierr = MatGetSize(A_II,&msolv_ctx->n_I,NULL);CHKERRQ(ierr);
772       ierr = PetscObjectReference((PetscObject)F);CHKERRQ(ierr);
773       msolv_ctx->F = F;
774       ierr = MatCreateVecs(F,&msolv_ctx->sol,&msolv_ctx->rhs);CHKERRQ(ierr);
775 
776       /* interior solver */
777       ierr = PCCreate(PETSC_COMM_SELF,&msolv_ctx->interior_solver);CHKERRQ(ierr);
778       ierr = PCSetOperators(msolv_ctx->interior_solver,A_II,A_II);CHKERRQ(ierr);
779       ierr = PCSetType(msolv_ctx->interior_solver,PCSHELL);CHKERRQ(ierr);
780       ierr = PCShellSetContext(msolv_ctx->interior_solver,msolv_ctx);CHKERRQ(ierr);
781       ierr = PCShellSetApply(msolv_ctx->interior_solver,PCBDDCMumpsInteriorSolve);CHKERRQ(ierr);
782       ierr = PCShellSetApplyTranspose(msolv_ctx->interior_solver,PCBDDCMumpsInteriorSolveTranspose);CHKERRQ(ierr);
783 
784       /* correction solver */
785       ierr = PCCreate(PETSC_COMM_SELF,&msolv_ctx->correction_solver);CHKERRQ(ierr);
786       ierr = PCSetOperators(msolv_ctx->correction_solver,A,A);CHKERRQ(ierr);
787       ierr = PCSetType(msolv_ctx->correction_solver,PCSHELL);CHKERRQ(ierr);
788       ierr = PCShellSetContext(msolv_ctx->correction_solver,msolv_ctx);CHKERRQ(ierr);
789       ierr = PCShellSetApply(msolv_ctx->correction_solver,PCBDDCMumpsCorrectionSolve);CHKERRQ(ierr);
790       ierr = PCShellSetApplyTranspose(msolv_ctx->correction_solver,PCBDDCMumpsCorrectionSolveTranspose);CHKERRQ(ierr);
791 
792       /* scatter and vecs for Schur complement solver */
793       ierr = MatCreateVecs(S_all,&msolv_ctx->sol_B,&msolv_ctx->rhs_B);CHKERRQ(ierr);
794       ierr = MatCreateVecs(sub_schurs->S,&vec1_B,NULL);CHKERRQ(ierr);
795       ierr = ISGlobalToLocalMappingApplyIS(sub_schurs->BtoNmap,IS_GTOLM_DROP,is_A_all,&msolv_ctx->is_B);CHKERRQ(ierr);
796       ierr = VecScatterCreate(vec1_B,msolv_ctx->is_B,msolv_ctx->sol_B,NULL,&msolv_ctx->correction_scatter_B);CHKERRQ(ierr);
797       ierr = VecDestroy(&vec1_B);CHKERRQ(ierr);
798       ierr = PetscObjectReference((PetscObject)is_A_all);CHKERRQ(ierr);
799       msolv_ctx->is_R = is_A_all;
800     }
801     ierr = MatDestroy(&A);CHKERRQ(ierr);
802     ierr = ISDestroy(&is_A_all);CHKERRQ(ierr);
803 
804     /* Work arrays */
805     ierr = PetscMalloc2(max_subset_size,&dummy_idx,max_subset_size*max_subset_size,&work);CHKERRQ(ierr);
806 
807     /* matrices for adaptive selection */
808     if (compute_Stilda) {
809       if (!sub_schurs->sum_S_Ej_tilda_all) {
810         ierr = MatCreate(PETSC_COMM_SELF,&sub_schurs->sum_S_Ej_tilda_all);CHKERRQ(ierr);
811         ierr = MatSetSizes(sub_schurs->sum_S_Ej_tilda_all,PETSC_DECIDE,PETSC_DECIDE,size_active_schur,size_active_schur);CHKERRQ(ierr);
812         ierr = MatSetType(sub_schurs->sum_S_Ej_tilda_all,MATAIJ);CHKERRQ(ierr);
813         ierr = MatSeqAIJSetPreallocation(sub_schurs->sum_S_Ej_tilda_all,0,nnz);CHKERRQ(ierr);
814       }
815       if (!sub_schurs->sum_S_Ej_inv_all) {
816         ierr = MatCreate(PETSC_COMM_SELF,&sub_schurs->sum_S_Ej_inv_all);CHKERRQ(ierr);
817         ierr = MatSetSizes(sub_schurs->sum_S_Ej_inv_all,PETSC_DECIDE,PETSC_DECIDE,size_active_schur,size_active_schur);CHKERRQ(ierr);
818         ierr = MatSetType(sub_schurs->sum_S_Ej_inv_all,MATAIJ);CHKERRQ(ierr);
819         ierr = MatSeqAIJSetPreallocation(sub_schurs->sum_S_Ej_inv_all,0,nnz);CHKERRQ(ierr);
820       }
821     }
822 
823     /* S_Ej_all */
824     cum = cum2 = 0;
825     ierr = MatDenseGetArray(S_all,&S_data);CHKERRQ(ierr);
826     for (i=0;i<sub_schurs->n_subs;i++) {
827       PetscInt j;
828 
829       /* get S_E */
830       ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr);
831       if (mumps_S && S_upper_triangular) { /* I need to expand the upper triangular data (column oriented) */
832         PetscInt k;
833         for (k=0;k<subset_size;k++) {
834           for (j=k;j<subset_size;j++) {
835             work[k*subset_size+j] = S_data[cum2+k*size_schur+j];
836             work[j*subset_size+k] = S_data[cum2+k*size_schur+j];
837           }
838         }
839       } else { /* just copy to workspace */
840         PetscInt k;
841         for (k=0;k<subset_size;k++) {
842           for (j=0;j<subset_size;j++) {
843             work[k*subset_size+j] = S_data[cum2+k*size_schur+j];
844           }
845         }
846       }
847       /* insert S_E values */
848       for (j=0;j<subset_size;j++) dummy_idx[j] = cum+j;
849       ierr = MatSetValues(sub_schurs->S_Ej_all,subset_size,dummy_idx,subset_size,dummy_idx,work,INSERT_VALUES);CHKERRQ(ierr);
850 
851       /* if adaptivity is requested, invert S_E block */
852       if (compute_Stilda) {
853         ierr = PetscBLASIntCast(subset_size,&B_N);CHKERRQ(ierr);
854         ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
855         if (!use_getr) { /* TODO add sytrf/i for symmetric non hermitian */
856           PetscStackCallBLAS("LAPACKpotrf",LAPACKpotrf_("L",&B_N,work,&B_N,&B_ierr));
857           if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRF Lapack routine %d",(int)B_ierr);
858           PetscStackCallBLAS("LAPACKpotri",LAPACKpotri_("L",&B_N,work,&B_N,&B_ierr));
859           if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRI Lapack routine %d",(int)B_ierr);
860         } else {
861           PetscStackCallBLAS("LAPACKgetrf",LAPACKgetrf_(&B_N,&B_N,work,&B_N,pivots,&B_ierr));
862           if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRF Lapack routine %d",(int)B_ierr);
863           PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,work,&B_N,pivots,Bwork,&B_lwork,&B_ierr));
864           if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRI Lapack routine %d",(int)B_ierr);
865         }
866         ierr = PetscFPTrapPop();CHKERRQ(ierr);
867         ierr = MatSetValues(sub_schurs->sum_S_Ej_inv_all,subset_size,dummy_idx,subset_size,dummy_idx,work,INSERT_VALUES);CHKERRQ(ierr);
868       }
869       cum += subset_size;
870       cum2 += subset_size*(size_schur + 1);
871     }
872     ierr = MatDenseRestoreArray(S_all,&S_data);CHKERRQ(ierr);
873 
874 #if defined(PETSC_HAVE_MUMPS)
875     if (mumps_S) {
876       ierr = MatMumpsRestoreSchurComplement(F,&S_all);CHKERRQ(ierr);
877     }
878 #endif
879 
880     if (compute_Stilda && size_active_schur) {
881       if (sub_schurs->n_subs == 1 && size_schur == size_active_schur) { /* we already computed the inverse */
882         PetscInt j;
883         for (j=0;j<size_schur;j++) dummy_idx[j] = j;
884         ierr = MatSetValues(sub_schurs->sum_S_Ej_tilda_all,size_schur,dummy_idx,size_schur,dummy_idx,work,INSERT_VALUES);CHKERRQ(ierr);
885       } else {
886         if (mumps_S) { /* use MatMumps calls to invert S */
887 #if defined(PETSC_HAVE_MUMPS)
888           ierr = MatMumpsInvertSchurComplement(F);CHKERRQ(ierr);
889           ierr = MatMumpsGetSchurComplement(F,&S_all);CHKERRQ(ierr);
890 #endif
891         } else { /* we need to invert explicitly since we are not using MUMPS for S */
892           ierr = MatDenseGetArray(S_all,&S_data);CHKERRQ(ierr);
893           ierr = PetscBLASIntCast(size_schur,&B_N);CHKERRQ(ierr);
894           ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
895           if (!use_getr) { /* TODO add sytrf/i for symmetric non hermitian */
896             PetscStackCallBLAS("LAPACKpotrf",LAPACKpotrf_("L",&B_N,S_data,&B_N,&B_ierr));
897             if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRF Lapack routine %d",(int)B_ierr);
898             PetscStackCallBLAS("LAPACKpotri",LAPACKpotri_("L",&B_N,S_data,&B_N,&B_ierr));
899             if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRI Lapack routine %d",(int)B_ierr);
900           } else {
901             PetscStackCallBLAS("LAPACKgetrf",LAPACKgetrf_(&B_N,&B_N,S_data,&B_N,pivots,&B_ierr));
902             if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRF Lapack routine %d",(int)B_ierr);
903             PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,S_data,&B_N,pivots,Bwork,&B_lwork,&B_ierr));
904             if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRI Lapack routine %d",(int)B_ierr);
905           }
906           ierr = PetscFPTrapPop();CHKERRQ(ierr);
907           ierr = MatDenseRestoreArray(S_all,&S_data);CHKERRQ(ierr);
908         }
909         /* S_Ej_tilda_all */
910         cum = cum2 = 0;
911         ierr = MatDenseGetArray(S_all,&S_data);CHKERRQ(ierr);
912         for (i=0;i<sub_schurs->n_subs;i++) {
913           PetscInt j;
914 
915           ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr);
916           /* get (St^-1)_E */
917           /* Here I don't need to expand to upper triangular since St^-1
918              will be properly accessed later during adaptive selection */
919           if (S_upper_triangular) {
920             PetscInt k;
921             for (k=0;k<subset_size;k++) {
922               for (j=k;j<subset_size;j++) {
923                 work[k*subset_size+j] = S_data[cum2+k*size_schur+j];
924               }
925             }
926           } else { /* copy to workspace */
927             PetscInt k;
928             for (k=0;k<subset_size;k++) {
929               for (j=0;j<subset_size;j++) {
930                 work[k*subset_size+j] = S_data[cum2+k*size_schur+j];
931               }
932             }
933           }
934           for (j=0;j<subset_size;j++) dummy_idx[j] = cum+j;
935           ierr = MatSetValues(sub_schurs->sum_S_Ej_tilda_all,subset_size,dummy_idx,subset_size,dummy_idx,work,INSERT_VALUES);CHKERRQ(ierr);
936           cum += subset_size;
937           cum2 += subset_size*(size_schur + 1);
938         }
939         ierr = MatDenseRestoreArray(S_all,&S_data);CHKERRQ(ierr);
940 #if defined(PETSC_HAVE_MUMPS)
941         if (mumps_S) {
942           ierr = MatMumpsRestoreSchurComplement(F,&S_all);CHKERRQ(ierr);
943         }
944 #endif
945       }
946     }
947     ierr = PetscFree2(dummy_idx,work);CHKERRQ(ierr);
948   }
949   ierr = PetscFree(nnz);CHKERRQ(ierr);
950   ierr = MatDestroy(&F);CHKERRQ(ierr);
951   ierr = ISDestroy(&is_I_layer);CHKERRQ(ierr);
952   ierr = MatDestroy(&S_all);CHKERRQ(ierr);
953   ierr = MatDestroy(&A_BB);CHKERRQ(ierr);
954   ierr = MatDestroy(&A_IB);CHKERRQ(ierr);
955   ierr = MatDestroy(&A_BI);CHKERRQ(ierr);
956   ierr = MatAssemblyBegin(sub_schurs->S_Ej_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
957   ierr = MatAssemblyEnd(sub_schurs->S_Ej_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
958   if (compute_Stilda) {
959     ierr = MatAssemblyBegin(sub_schurs->sum_S_Ej_tilda_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
960     ierr = MatAssemblyEnd(sub_schurs->sum_S_Ej_tilda_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
961     ierr = MatAssemblyBegin(sub_schurs->sum_S_Ej_inv_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
962     ierr = MatAssemblyEnd(sub_schurs->sum_S_Ej_inv_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
963   }
964 
965   /* Global matrix of all assembled Schur on subsets */
966   ierr = MatISSetLocalMat(work_mat,sub_schurs->S_Ej_all);CHKERRQ(ierr);
967   ierr = MatISSetMPIXAIJPreallocation_Private(work_mat,global_schur_subsets,PETSC_TRUE);CHKERRQ(ierr);
968   ierr = MatISGetMPIXAIJ(work_mat,MAT_REUSE_MATRIX,&global_schur_subsets);CHKERRQ(ierr);
969 
970   /* Get local part of (\sum_j S_Ej) */
971   if (!sub_schurs->sum_S_Ej_all) {
972     ierr = MatGetSubMatrices(global_schur_subsets,1,&all_subsets_n,&all_subsets_n,MAT_INITIAL_MATRIX,&submats);CHKERRQ(ierr);
973     sub_schurs->sum_S_Ej_all = submats[0];
974   } else {
975     ierr = PetscMalloc1(1,&submats);CHKERRQ(ierr);
976     submats[0] = sub_schurs->sum_S_Ej_all;
977     ierr = MatGetSubMatrices(global_schur_subsets,1,&all_subsets_n,&all_subsets_n,MAT_REUSE_MATRIX,&submats);CHKERRQ(ierr);
978   }
979 
980   /* Compute explicitly (\sum_j S_Ej)^-1 (faster scaling during PCApply, needs extra work when doing setup) */
981   if (faster_deluxe) {
982     Mat         tmpmat;
983     PetscScalar *array;
984     PetscInt    cum;
985 
986     ierr = MatSeqAIJGetArray(sub_schurs->sum_S_Ej_all,&array);CHKERRQ(ierr);
987     cum = 0;
988     for (i=0;i<sub_schurs->n_subs;i++) {
989       ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr);
990       ierr = PetscBLASIntCast(subset_size,&B_N);CHKERRQ(ierr);
991       ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
992       if (!use_getr) {
993         PetscInt j,k;
994 
995         PetscStackCallBLAS("LAPACKpotrf",LAPACKpotrf_("L",&B_N,array+cum,&B_N,&B_ierr));
996         if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRF Lapack routine %d",(int)B_ierr);
997         PetscStackCallBLAS("LAPACKpotri",LAPACKpotri_("L",&B_N,array+cum,&B_N,&B_ierr));
998         if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRI Lapack routine %d",(int)B_ierr);
999         for (j=0;j<B_N;j++) {
1000           for (k=j+1;k<B_N;k++) {
1001             array[k*B_N+j+cum] = array[j*B_N+k+cum];
1002           }
1003         }
1004       } else {
1005         PetscStackCallBLAS("LAPACKgetrf",LAPACKgetrf_(&B_N,&B_N,array+cum,&B_N,pivots,&B_ierr));
1006         if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRF Lapack routine %d",(int)B_ierr);
1007         PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,array+cum,&B_N,pivots,Bwork,&B_lwork,&B_ierr));
1008         if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRI Lapack routine %d",(int)B_ierr);
1009       }
1010       ierr = PetscFPTrapPop();CHKERRQ(ierr);
1011       cum += subset_size*subset_size;
1012     }
1013     ierr = MatSeqAIJRestoreArray(sub_schurs->sum_S_Ej_all,&array);CHKERRQ(ierr);
1014     ierr = MatMatMult(sub_schurs->S_Ej_all,sub_schurs->sum_S_Ej_all,MAT_INITIAL_MATRIX,1.0,&tmpmat);CHKERRQ(ierr);
1015     ierr = MatDestroy(&sub_schurs->S_Ej_all);CHKERRQ(ierr);
1016     ierr = MatDestroy(&sub_schurs->sum_S_Ej_all);CHKERRQ(ierr);
1017     sub_schurs->S_Ej_all = tmpmat;
1018   }
1019 
1020   /* Get local part of (\sum_j S^-1_Ej) (\sum_j St^-1_Ej) */
1021   if (compute_Stilda) {
1022     ierr = MatISSetLocalMat(work_mat,sub_schurs->sum_S_Ej_tilda_all);CHKERRQ(ierr);
1023     ierr = MatISGetMPIXAIJ(work_mat,MAT_REUSE_MATRIX,&global_schur_subsets);CHKERRQ(ierr);
1024     submats[0] = sub_schurs->sum_S_Ej_tilda_all;
1025     ierr = MatGetSubMatrices(global_schur_subsets,1,&all_subsets_n,&all_subsets_n,MAT_REUSE_MATRIX,&submats);CHKERRQ(ierr);
1026     ierr = MatISSetLocalMat(work_mat,sub_schurs->sum_S_Ej_inv_all);CHKERRQ(ierr);
1027     ierr = MatISGetMPIXAIJ(work_mat,MAT_REUSE_MATRIX,&global_schur_subsets);CHKERRQ(ierr);
1028     submats[0] = sub_schurs->sum_S_Ej_inv_all;
1029     ierr = MatGetSubMatrices(global_schur_subsets,1,&all_subsets_n,&all_subsets_n,MAT_REUSE_MATRIX,&submats);CHKERRQ(ierr);
1030   }
1031 
1032   /* free workspace */
1033   ierr = PetscFree(submats);CHKERRQ(ierr);
1034   ierr = PetscFree2(Bwork,pivots);CHKERRQ(ierr);
1035   ierr = MatDestroy(&global_schur_subsets);CHKERRQ(ierr);
1036   ierr = MatDestroy(&work_mat);CHKERRQ(ierr);
1037   ierr = ISDestroy(&all_subsets_n);CHKERRQ(ierr);
1038   ierr = PetscCommDestroy(&comm_n);CHKERRQ(ierr);
1039   PetscFunctionReturn(0);
1040 }
1041 
1042 #undef __FUNCT__
1043 #define __FUNCT__ "PCBDDCSubSchursInit"
1044 PetscErrorCode PCBDDCSubSchursInit(PCBDDCSubSchurs sub_schurs, IS is_I, IS is_B, PCBDDCGraph graph, ISLocalToGlobalMapping BtoNmap)
1045 {
1046   IS              *faces,*edges,*all_cc,vertices;
1047   PetscInt        i,n_faces,n_edges,n_all_cc;
1048   PetscBool       is_sorted;
1049   PetscErrorCode  ierr;
1050 
1051   PetscFunctionBegin;
1052   ierr = ISSorted(is_I,&is_sorted);CHKERRQ(ierr);
1053   if (!is_sorted) {
1054     SETERRQ(PetscObjectComm((PetscObject)is_I),PETSC_ERR_PLIB,"IS for I dofs should be shorted");
1055   }
1056   ierr = ISSorted(is_B,&is_sorted);CHKERRQ(ierr);
1057   if (!is_sorted) {
1058     SETERRQ(PetscObjectComm((PetscObject)is_B),PETSC_ERR_PLIB,"IS for B dofs should be shorted");
1059   }
1060 
1061   /* reset any previous data */
1062   ierr = PCBDDCSubSchursReset(sub_schurs);CHKERRQ(ierr);
1063 
1064   /* get index sets for faces and edges (already sorted by global ordering) */
1065   ierr = PCBDDCGraphGetCandidatesIS(graph,&n_faces,&faces,&n_edges,&edges,&vertices);CHKERRQ(ierr);
1066   n_all_cc = n_faces+n_edges;
1067   ierr = PetscBTCreate(n_all_cc,&sub_schurs->is_edge);CHKERRQ(ierr);
1068   ierr = PetscMalloc1(n_all_cc,&all_cc);CHKERRQ(ierr);
1069   for (i=0;i<n_faces;i++) {
1070     all_cc[i] = faces[i];
1071   }
1072   for (i=0;i<n_edges;i++) {
1073     all_cc[n_faces+i] = edges[i];
1074     ierr = PetscBTSet(sub_schurs->is_edge,n_faces+i);CHKERRQ(ierr);
1075   }
1076   ierr = PetscFree(faces);CHKERRQ(ierr);
1077   ierr = PetscFree(edges);CHKERRQ(ierr);
1078   sub_schurs->is_dir = NULL;
1079   ierr = PCBDDCGraphGetDirichletDofsB(graph,&sub_schurs->is_dir);CHKERRQ(ierr);
1080 
1081   /* Determine if MUMPS can be used */
1082   sub_schurs->use_mumps = PETSC_FALSE;
1083 #if defined(PETSC_HAVE_MUMPS)
1084   sub_schurs->use_mumps = PETSC_TRUE;
1085 #endif
1086 
1087   ierr = PetscObjectReference((PetscObject)is_I);CHKERRQ(ierr);
1088   sub_schurs->is_I = is_I;
1089   ierr = PetscObjectReference((PetscObject)is_B);CHKERRQ(ierr);
1090   sub_schurs->is_B = is_B;
1091   ierr = PetscObjectReference((PetscObject)graph->l2gmap);CHKERRQ(ierr);
1092   sub_schurs->l2gmap = graph->l2gmap;
1093   ierr = PetscObjectReference((PetscObject)BtoNmap);CHKERRQ(ierr);
1094   sub_schurs->BtoNmap = BtoNmap;
1095   sub_schurs->n_subs = n_all_cc;
1096   sub_schurs->is_subs = all_cc;
1097   if (!sub_schurs->use_mumps) { /* sort by local ordering mumps is not present */
1098     for (i=0;i<sub_schurs->n_subs;i++) {
1099       ierr = ISSort(sub_schurs->is_subs[i]);CHKERRQ(ierr);
1100     }
1101   }
1102   sub_schurs->is_vertices = vertices;
1103   sub_schurs->S_Ej_all = NULL;
1104   sub_schurs->sum_S_Ej_all = NULL;
1105   sub_schurs->sum_S_Ej_inv_all = NULL;
1106   sub_schurs->sum_S_Ej_tilda_all = NULL;
1107   sub_schurs->is_Ej_all = NULL;
1108   PetscFunctionReturn(0);
1109 }
1110 
1111 #undef __FUNCT__
1112 #define __FUNCT__ "PCBDDCSubSchursCreate"
1113 PetscErrorCode PCBDDCSubSchursCreate(PCBDDCSubSchurs *sub_schurs)
1114 {
1115   PCBDDCSubSchurs schurs_ctx;
1116   PetscErrorCode  ierr;
1117 
1118   PetscFunctionBegin;
1119   ierr = PetscNew(&schurs_ctx);CHKERRQ(ierr);
1120   schurs_ctx->n_subs = 0;
1121   *sub_schurs = schurs_ctx;
1122   PetscFunctionReturn(0);
1123 }
1124 
1125 #undef __FUNCT__
1126 #define __FUNCT__ "PCBDDCSubSchursDestroy"
1127 PetscErrorCode PCBDDCSubSchursDestroy(PCBDDCSubSchurs *sub_schurs)
1128 {
1129   PetscErrorCode ierr;
1130 
1131   PetscFunctionBegin;
1132   ierr = PCBDDCSubSchursReset(*sub_schurs);CHKERRQ(ierr);
1133   ierr = PetscFree(*sub_schurs);CHKERRQ(ierr);
1134   PetscFunctionReturn(0);
1135 }
1136 
1137 #undef __FUNCT__
1138 #define __FUNCT__ "PCBDDCSubSchursReset"
1139 PetscErrorCode PCBDDCSubSchursReset(PCBDDCSubSchurs sub_schurs)
1140 {
1141   PetscInt       i;
1142   PetscErrorCode ierr;
1143 
1144   PetscFunctionBegin;
1145   ierr = MatDestroy(&sub_schurs->A);CHKERRQ(ierr);
1146   ierr = MatDestroy(&sub_schurs->S);CHKERRQ(ierr);
1147   ierr = ISDestroy(&sub_schurs->is_I);CHKERRQ(ierr);
1148   ierr = ISDestroy(&sub_schurs->is_B);CHKERRQ(ierr);
1149   ierr = ISLocalToGlobalMappingDestroy(&sub_schurs->l2gmap);CHKERRQ(ierr);
1150   ierr = ISLocalToGlobalMappingDestroy(&sub_schurs->BtoNmap);CHKERRQ(ierr);
1151   ierr = MatDestroy(&sub_schurs->S_Ej_all);CHKERRQ(ierr);
1152   ierr = MatDestroy(&sub_schurs->sum_S_Ej_all);CHKERRQ(ierr);
1153   ierr = MatDestroy(&sub_schurs->sum_S_Ej_inv_all);CHKERRQ(ierr);
1154   ierr = MatDestroy(&sub_schurs->sum_S_Ej_tilda_all);CHKERRQ(ierr);
1155   ierr = ISDestroy(&sub_schurs->is_Ej_all);CHKERRQ(ierr);
1156   ierr = ISDestroy(&sub_schurs->is_vertices);CHKERRQ(ierr);
1157   ierr = ISDestroy(&sub_schurs->is_dir);CHKERRQ(ierr);
1158   ierr = PetscBTDestroy(&sub_schurs->is_edge);CHKERRQ(ierr);
1159   for (i=0;i<sub_schurs->n_subs;i++) {
1160     ierr = ISDestroy(&sub_schurs->is_subs[i]);CHKERRQ(ierr);
1161   }
1162   if (sub_schurs->n_subs) {
1163     ierr = PetscFree(sub_schurs->is_subs);CHKERRQ(ierr);
1164   }
1165   if (sub_schurs->reuse_mumps) {
1166     ierr = PCBDDCReuseMumpsReset(sub_schurs->reuse_mumps);CHKERRQ(ierr);
1167   }
1168   ierr = PetscFree(sub_schurs->reuse_mumps);CHKERRQ(ierr);
1169   sub_schurs->n_subs = 0;
1170   PetscFunctionReturn(0);
1171 }
1172 
1173 #undef __FUNCT__
1174 #define __FUNCT__ "PCBDDCAdjGetNextLayer_Private"
1175 PETSC_STATIC_INLINE PetscErrorCode PCBDDCAdjGetNextLayer_Private(PetscInt* queue_tip,PetscInt n_prev,PetscBT touched,PetscInt* xadj,PetscInt* adjncy,PetscInt* n_added)
1176 {
1177   PetscInt       i,j,n;
1178   PetscErrorCode ierr;
1179 
1180   PetscFunctionBegin;
1181   n = 0;
1182   for (i=-n_prev;i<0;i++) {
1183     PetscInt start_dof = queue_tip[i];
1184     for (j=xadj[start_dof];j<xadj[start_dof+1];j++) {
1185       PetscInt dof = adjncy[j];
1186       if (!PetscBTLookup(touched,dof)) {
1187         ierr = PetscBTSet(touched,dof);CHKERRQ(ierr);
1188         queue_tip[n] = dof;
1189         n++;
1190       }
1191     }
1192   }
1193   *n_added = n;
1194   PetscFunctionReturn(0);
1195 }
1196