xref: /petsc/src/ksp/pc/impls/bddc/bddc.c (revision 09f581a4bf7fef37dff6a76de51e4a28400a704a)
1 /* TODOLIST
2 
3    Solvers
4    - Add support for cholesky for coarse solver (similar to local solvers)
5    - Propagate ksp prefixes for solvers to mat objects?
6 
7    User interface
8    - ** DM attached to pc?
9 
10    Debugging output
11    - * Better management of verbosity levels of debugging output
12 
13    Extra
14    - *** Is it possible to work with PCBDDCGraph on boundary indices only (less memory consumed)?
15    - BDDC with MG framework?
16 
17    FETIDP
18    - Move FETIDP code to its own classes
19 
20    MATIS related operations contained in BDDC code
21    - Provide general case for subassembling
22 
23 */
24 
25 #include <../src/ksp/pc/impls/bddc/bddc.h> /*I "petscpc.h" I*/  /* includes for fortran wrappers */
26 #include <../src/ksp/pc/impls/bddc/bddcprivate.h>
27 #include <petscblaslapack.h>
28 
29 /* temporarily declare it */
30 PetscErrorCode PCApply_BDDC(PC,Vec,Vec);
31 
32 /* -------------------------------------------------------------------------- */
33 #undef __FUNCT__
34 #define __FUNCT__ "PCSetFromOptions_BDDC"
35 PetscErrorCode PCSetFromOptions_BDDC(PetscOptions *PetscOptionsObject,PC pc)
36 {
37   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
38   PetscErrorCode ierr;
39 
40   PetscFunctionBegin;
41   ierr = PetscOptionsHead(PetscOptionsObject,"BDDC options");CHKERRQ(ierr);
42   /* Verbose debugging */
43   ierr = PetscOptionsInt("-pc_bddc_check_level","Verbose output for PCBDDC (intended for debug)","none",pcbddc->dbg_flag,&pcbddc->dbg_flag,NULL);CHKERRQ(ierr);
44   /* Primal space cumstomization */
45   ierr = PetscOptionsBool("-pc_bddc_use_local_mat_graph","Use or not adjacency graph of local mat for interface analysis","none",pcbddc->use_local_adj,&pcbddc->use_local_adj,NULL);CHKERRQ(ierr);
46   ierr = PetscOptionsBool("-pc_bddc_use_vertices","Use or not corner dofs in coarse space","none",pcbddc->use_vertices,&pcbddc->use_vertices,NULL);CHKERRQ(ierr);
47   ierr = PetscOptionsBool("-pc_bddc_use_edges","Use or not edge constraints in coarse space","none",pcbddc->use_edges,&pcbddc->use_edges,NULL);CHKERRQ(ierr);
48   ierr = PetscOptionsBool("-pc_bddc_use_faces","Use or not face constraints in coarse space","none",pcbddc->use_faces,&pcbddc->use_faces,NULL);CHKERRQ(ierr);
49   ierr = PetscOptionsBool("-pc_bddc_use_true_nnsp","Use near null space attached to the matrix without modifications","none",pcbddc->use_nnsp_true,&pcbddc->use_nnsp_true,NULL);CHKERRQ(ierr);
50   ierr = PetscOptionsBool("-pc_bddc_use_qr_single","Use QR factorization for single constraints on cc (QR is used when multiple constraints are present)","none",pcbddc->use_qr_single,&pcbddc->use_qr_single,NULL);CHKERRQ(ierr);
51   /* Change of basis */
52   ierr = PetscOptionsBool("-pc_bddc_use_change_of_basis","Use or not internal change of basis on local edge nodes","none",pcbddc->use_change_of_basis,&pcbddc->use_change_of_basis,NULL);CHKERRQ(ierr);
53   ierr = PetscOptionsBool("-pc_bddc_use_change_on_faces","Use or not internal change of basis on local face nodes","none",pcbddc->use_change_on_faces,&pcbddc->use_change_on_faces,NULL);CHKERRQ(ierr);
54   if (!pcbddc->use_change_of_basis) {
55     pcbddc->use_change_on_faces = PETSC_FALSE;
56   }
57   /* Switch between M_2 (default) and M_3 preconditioners (as defined by C. Dohrmann in the ref. article) */
58   ierr = PetscOptionsBool("-pc_bddc_switch_static","Switch on static condensation ops around the interface preconditioner","none",pcbddc->switch_static,&pcbddc->switch_static,NULL);CHKERRQ(ierr);
59   ierr = PetscOptionsInt("-pc_bddc_coarse_redistribute","Number of procs where to redistribute coarse problem","none",pcbddc->redistribute_coarse,&pcbddc->redistribute_coarse,NULL);CHKERRQ(ierr);
60   ierr = PetscOptionsInt("-pc_bddc_coarsening_ratio","Set coarsening ratio used in multilevel coarsening","none",pcbddc->coarsening_ratio,&pcbddc->coarsening_ratio,NULL);CHKERRQ(ierr);
61   ierr = PetscOptionsInt("-pc_bddc_levels","Set maximum number of levels for multilevel","none",pcbddc->max_levels,&pcbddc->max_levels,NULL);CHKERRQ(ierr);
62   ierr = PetscOptionsBool("-pc_bddc_use_coarse_estimates","Use estimated eigenvalues for coarse problem","none",pcbddc->use_coarse_estimates,&pcbddc->use_coarse_estimates,NULL);CHKERRQ(ierr);
63   ierr = PetscOptionsBool("-pc_bddc_use_deluxe_scaling","Use deluxe scaling for BDDC","none",pcbddc->use_deluxe_scaling,&pcbddc->use_deluxe_scaling,NULL);CHKERRQ(ierr);
64   ierr = PetscOptionsBool("-pc_bddc_schur_rebuild","Whether or not the interface graph for Schur principal minors has to be rebuilt (i.e. define the interface without any adjacency)","none",pcbddc->sub_schurs_rebuild,&pcbddc->sub_schurs_rebuild,NULL);CHKERRQ(ierr);
65   ierr = PetscOptionsInt("-pc_bddc_schur_layers","Number of dofs' layers for the computation of principal minors (i.e. -1 uses all dofs)","none",pcbddc->sub_schurs_layers,&pcbddc->sub_schurs_layers,NULL);CHKERRQ(ierr);
66   ierr = PetscOptionsBool("-pc_bddc_schur_use_useradj","Whether or not the CSR graph specified by the user should be used for computing successive layers (default is to use adj of local mat)","none",pcbddc->sub_schurs_use_useradj,&pcbddc->sub_schurs_use_useradj,NULL);CHKERRQ(ierr);
67   ierr = PetscOptionsBool("-pc_bddc_deluxe_faster","Faster application of deluxe scaling (requires extra work during setup)","none",pcbddc->faster_deluxe,&pcbddc->faster_deluxe,NULL);CHKERRQ(ierr);
68   ierr = PetscOptionsReal("-pc_bddc_adaptive_threshold","Threshold to be used for adaptive selection of constraints","none",pcbddc->adaptive_threshold,&pcbddc->adaptive_threshold,NULL);CHKERRQ(ierr);
69   ierr = PetscOptionsInt("-pc_bddc_adaptive_nmin","Minimum number of constraints per connected components","none",pcbddc->adaptive_nmin,&pcbddc->adaptive_nmin,NULL);CHKERRQ(ierr);
70   ierr = PetscOptionsInt("-pc_bddc_adaptive_nmax","Maximum number of constraints per connected components","none",pcbddc->adaptive_nmax,&pcbddc->adaptive_nmax,NULL);CHKERRQ(ierr);
71   ierr = PetscOptionsBool("-pc_bddc_symmetric","Symmetric computation of primal basis functions","none",pcbddc->symmetric_primal,&pcbddc->symmetric_primal,NULL);CHKERRQ(ierr);
72   ierr = PetscOptionsInt("-pc_bddc_coarse_adj","Number of processors where to map the coarse adjacency list","none",pcbddc->coarse_adj_red,&pcbddc->coarse_adj_red,NULL);CHKERRQ(ierr);
73   ierr = PetscOptionsBool("-pc_bddc_benign_trick","Apply the benign subspace trick to a class of saddle point problems","none",pcbddc->benign_saddle_point,&pcbddc->benign_saddle_point,NULL);CHKERRQ(ierr);
74   ierr = PetscOptionsTail();CHKERRQ(ierr);
75   PetscFunctionReturn(0);
76 }
77 /* -------------------------------------------------------------------------- */
78 #undef __FUNCT__
79 #define __FUNCT__ "PCBDDCSetChangeOfBasisMat_BDDC"
80 static PetscErrorCode PCBDDCSetChangeOfBasisMat_BDDC(PC pc, Mat change)
81 {
82   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
83   PetscErrorCode ierr;
84 
85   PetscFunctionBegin;
86   ierr = MatDestroy(&pcbddc->user_ChangeOfBasisMatrix);CHKERRQ(ierr);
87   ierr = PetscObjectReference((PetscObject)change);CHKERRQ(ierr);
88   pcbddc->user_ChangeOfBasisMatrix = change;
89   PetscFunctionReturn(0);
90 }
91 #undef __FUNCT__
92 #define __FUNCT__ "PCBDDCSetChangeOfBasisMat"
93 /*@
94  PCBDDCSetChangeOfBasisMat - Set user defined change of basis for dofs
95 
96    Collective on PC
97 
98    Input Parameters:
99 +  pc - the preconditioning context
100 -  change - the change of basis matrix
101 
102    Level: intermediate
103 
104    Notes:
105 
106 .seealso: PCBDDC
107 @*/
108 PetscErrorCode PCBDDCSetChangeOfBasisMat(PC pc, Mat change)
109 {
110   PetscErrorCode ierr;
111 
112   PetscFunctionBegin;
113   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
114   PetscValidHeaderSpecific(change,MAT_CLASSID,2);
115   PetscCheckSameComm(pc,1,change,2);
116   if (pc->mat) {
117     PetscInt rows_c,cols_c,rows,cols;
118     ierr = MatGetSize(pc->mat,&rows,&cols);CHKERRQ(ierr);
119     ierr = MatGetSize(change,&rows_c,&cols_c);CHKERRQ(ierr);
120     if (rows_c != rows) {
121       SETERRQ2(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Invalid number of rows for change of basis matrix! %d != %d",rows_c,rows);
122     }
123     if (cols_c != cols) {
124       SETERRQ2(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Invalid number of columns for change of basis matrix! %d != %d",cols_c,cols);
125     }
126     ierr = MatGetLocalSize(pc->mat,&rows,&cols);CHKERRQ(ierr);
127     ierr = MatGetLocalSize(change,&rows_c,&cols_c);CHKERRQ(ierr);
128     if (rows_c != rows) {
129       SETERRQ2(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Invalid number of local rows for change of basis matrix! %d != %d",rows_c,rows);
130     }
131     if (cols_c != cols) {
132       SETERRQ2(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Invalid number of local columns for change of basis matrix! %d != %d",cols_c,cols);
133     }
134   }
135   ierr = PetscTryMethod(pc,"PCBDDCSetChangeOfBasisMat_C",(PC,Mat),(pc,change));CHKERRQ(ierr);
136   PetscFunctionReturn(0);
137 }
138 /* -------------------------------------------------------------------------- */
139 #undef __FUNCT__
140 #define __FUNCT__ "PCBDDCSetPrimalVerticesLocalIS_BDDC"
141 static PetscErrorCode PCBDDCSetPrimalVerticesLocalIS_BDDC(PC pc, IS PrimalVertices)
142 {
143   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
144   PetscErrorCode ierr;
145 
146   PetscFunctionBegin;
147   ierr = ISDestroy(&pcbddc->user_primal_vertices);CHKERRQ(ierr);
148   ierr = PetscObjectReference((PetscObject)PrimalVertices);CHKERRQ(ierr);
149   pcbddc->user_primal_vertices = PrimalVertices;
150   PetscFunctionReturn(0);
151 }
152 #undef __FUNCT__
153 #define __FUNCT__ "PCBDDCSetPrimalVerticesLocalIS"
154 /*@
155  PCBDDCSetPrimalVerticesLocalIS - Set additional user defined primal vertices in PCBDDC
156 
157    Collective
158 
159    Input Parameters:
160 +  pc - the preconditioning context
161 -  PrimalVertices - index set of primal vertices in local numbering (can be empty)
162 
163    Level: intermediate
164 
165    Notes:
166 
167 .seealso: PCBDDC
168 @*/
169 PetscErrorCode PCBDDCSetPrimalVerticesLocalIS(PC pc, IS PrimalVertices)
170 {
171   PetscErrorCode ierr;
172 
173   PetscFunctionBegin;
174   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
175   PetscValidHeaderSpecific(PrimalVertices,IS_CLASSID,2);
176   PetscCheckSameComm(pc,1,PrimalVertices,2);
177   ierr = PetscTryMethod(pc,"PCBDDCSetPrimalVerticesLocalIS_C",(PC,IS),(pc,PrimalVertices));CHKERRQ(ierr);
178   PetscFunctionReturn(0);
179 }
180 /* -------------------------------------------------------------------------- */
181 #undef __FUNCT__
182 #define __FUNCT__ "PCBDDCSetCoarseningRatio_BDDC"
183 static PetscErrorCode PCBDDCSetCoarseningRatio_BDDC(PC pc,PetscInt k)
184 {
185   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
186 
187   PetscFunctionBegin;
188   pcbddc->coarsening_ratio = k;
189   PetscFunctionReturn(0);
190 }
191 
192 #undef __FUNCT__
193 #define __FUNCT__ "PCBDDCSetCoarseningRatio"
194 /*@
195  PCBDDCSetCoarseningRatio - Set coarsening ratio used in multilevel
196 
197    Logically collective on PC
198 
199    Input Parameters:
200 +  pc - the preconditioning context
201 -  k - coarsening ratio (H/h at the coarser level)
202 
203    Options Database Keys:
204 .    -pc_bddc_coarsening_ratio
205 
206    Level: intermediate
207 
208    Notes:
209      Approximatively k subdomains at the finer level will be aggregated into a single subdomain at the coarser level
210 
211 .seealso: PCBDDC, PCBDDCSetLevels()
212 @*/
213 PetscErrorCode PCBDDCSetCoarseningRatio(PC pc,PetscInt k)
214 {
215   PetscErrorCode ierr;
216 
217   PetscFunctionBegin;
218   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
219   PetscValidLogicalCollectiveInt(pc,k,2);
220   ierr = PetscTryMethod(pc,"PCBDDCSetCoarseningRatio_C",(PC,PetscInt),(pc,k));CHKERRQ(ierr);
221   PetscFunctionReturn(0);
222 }
223 
224 /* The following functions (PCBDDCSetUseExactDirichlet PCBDDCSetLevel) are not public */
225 #undef __FUNCT__
226 #define __FUNCT__ "PCBDDCSetUseExactDirichlet_BDDC"
227 static PetscErrorCode PCBDDCSetUseExactDirichlet_BDDC(PC pc,PetscBool flg)
228 {
229   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
230 
231   PetscFunctionBegin;
232   pcbddc->use_exact_dirichlet_trick = flg;
233   PetscFunctionReturn(0);
234 }
235 
236 #undef __FUNCT__
237 #define __FUNCT__ "PCBDDCSetUseExactDirichlet"
238 PetscErrorCode PCBDDCSetUseExactDirichlet(PC pc,PetscBool flg)
239 {
240   PetscErrorCode ierr;
241 
242   PetscFunctionBegin;
243   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
244   PetscValidLogicalCollectiveBool(pc,flg,2);
245   ierr = PetscTryMethod(pc,"PCBDDCSetUseExactDirichlet_C",(PC,PetscBool),(pc,flg));CHKERRQ(ierr);
246   PetscFunctionReturn(0);
247 }
248 
249 #undef __FUNCT__
250 #define __FUNCT__ "PCBDDCSetLevel_BDDC"
251 static PetscErrorCode PCBDDCSetLevel_BDDC(PC pc,PetscInt level)
252 {
253   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
254 
255   PetscFunctionBegin;
256   pcbddc->current_level = level;
257   PetscFunctionReturn(0);
258 }
259 
260 #undef __FUNCT__
261 #define __FUNCT__ "PCBDDCSetLevel"
262 PetscErrorCode PCBDDCSetLevel(PC pc,PetscInt level)
263 {
264   PetscErrorCode ierr;
265 
266   PetscFunctionBegin;
267   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
268   PetscValidLogicalCollectiveInt(pc,level,2);
269   ierr = PetscTryMethod(pc,"PCBDDCSetLevel_C",(PC,PetscInt),(pc,level));CHKERRQ(ierr);
270   PetscFunctionReturn(0);
271 }
272 
273 #undef __FUNCT__
274 #define __FUNCT__ "PCBDDCSetLevels_BDDC"
275 static PetscErrorCode PCBDDCSetLevels_BDDC(PC pc,PetscInt levels)
276 {
277   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
278 
279   PetscFunctionBegin;
280   pcbddc->max_levels = levels;
281   PetscFunctionReturn(0);
282 }
283 
284 #undef __FUNCT__
285 #define __FUNCT__ "PCBDDCSetLevels"
286 /*@
287  PCBDDCSetLevels - Sets the maximum number of levels for multilevel
288 
289    Logically collective on PC
290 
291    Input Parameters:
292 +  pc - the preconditioning context
293 -  levels - the maximum number of levels (max 9)
294 
295    Options Database Keys:
296 .    -pc_bddc_levels
297 
298    Level: intermediate
299 
300    Notes:
301      Default value is 0, i.e. traditional one-level BDDC
302 
303 .seealso: PCBDDC, PCBDDCSetCoarseningRatio()
304 @*/
305 PetscErrorCode PCBDDCSetLevels(PC pc,PetscInt levels)
306 {
307   PetscErrorCode ierr;
308 
309   PetscFunctionBegin;
310   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
311   PetscValidLogicalCollectiveInt(pc,levels,2);
312   if (levels > 99) SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Maximum number of levels for bddc is 99\n");
313   ierr = PetscTryMethod(pc,"PCBDDCSetLevels_C",(PC,PetscInt),(pc,levels));CHKERRQ(ierr);
314   PetscFunctionReturn(0);
315 }
316 /* -------------------------------------------------------------------------- */
317 
318 #undef __FUNCT__
319 #define __FUNCT__ "PCBDDCSetNullSpace_BDDC"
320 static PetscErrorCode PCBDDCSetNullSpace_BDDC(PC pc,MatNullSpace NullSpace)
321 {
322   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
323   PetscErrorCode ierr;
324 
325   PetscFunctionBegin;
326   ierr = PetscObjectReference((PetscObject)NullSpace);CHKERRQ(ierr);
327   ierr = MatNullSpaceDestroy(&pcbddc->NullSpace);CHKERRQ(ierr);
328   pcbddc->NullSpace = NullSpace;
329   PetscFunctionReturn(0);
330 }
331 
332 #undef __FUNCT__
333 #define __FUNCT__ "PCBDDCSetNullSpace"
334 /*@
335  PCBDDCSetNullSpace - Set nullspace for BDDC operator
336 
337    Logically collective on PC and MatNullSpace
338 
339    Input Parameters:
340 +  pc - the preconditioning context
341 -  NullSpace - Null space of the linear operator to be preconditioned (Pmat)
342 
343    Level: intermediate
344 
345    Notes:
346 
347 .seealso: PCBDDC
348 @*/
349 PetscErrorCode PCBDDCSetNullSpace(PC pc,MatNullSpace NullSpace)
350 {
351   PetscErrorCode ierr;
352 
353   PetscFunctionBegin;
354   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
355   PetscValidHeaderSpecific(NullSpace,MAT_NULLSPACE_CLASSID,2);
356   PetscCheckSameComm(pc,1,NullSpace,2);
357   ierr = PetscTryMethod(pc,"PCBDDCSetNullSpace_C",(PC,MatNullSpace),(pc,NullSpace));CHKERRQ(ierr);
358   PetscFunctionReturn(0);
359 }
360 /* -------------------------------------------------------------------------- */
361 
362 #undef __FUNCT__
363 #define __FUNCT__ "PCBDDCSetDirichletBoundaries_BDDC"
364 static PetscErrorCode PCBDDCSetDirichletBoundaries_BDDC(PC pc,IS DirichletBoundaries)
365 {
366   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
367   PetscErrorCode ierr;
368 
369   PetscFunctionBegin;
370   /* last user setting takes precendence -> destroy any other customization */
371   ierr = ISDestroy(&pcbddc->DirichletBoundariesLocal);CHKERRQ(ierr);
372   ierr = ISDestroy(&pcbddc->DirichletBoundaries);CHKERRQ(ierr);
373   ierr = PetscObjectReference((PetscObject)DirichletBoundaries);CHKERRQ(ierr);
374   pcbddc->DirichletBoundaries = DirichletBoundaries;
375   pcbddc->recompute_topography = PETSC_TRUE;
376   PetscFunctionReturn(0);
377 }
378 
379 #undef __FUNCT__
380 #define __FUNCT__ "PCBDDCSetDirichletBoundaries"
381 /*@
382  PCBDDCSetDirichletBoundaries - Set IS defining Dirichlet boundaries for the global problem.
383 
384    Collective
385 
386    Input Parameters:
387 +  pc - the preconditioning context
388 -  DirichletBoundaries - parallel IS defining the Dirichlet boundaries
389 
390    Level: intermediate
391 
392    Notes:
393      Provide the information if you used MatZeroRows/Columns routines. Any process can list any global node
394 
395 .seealso: PCBDDC, PCBDDCSetDirichletBoundariesLocal(), MatZeroRows(), MatZeroRowsColumns()
396 @*/
397 PetscErrorCode PCBDDCSetDirichletBoundaries(PC pc,IS DirichletBoundaries)
398 {
399   PetscErrorCode ierr;
400 
401   PetscFunctionBegin;
402   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
403   PetscValidHeaderSpecific(DirichletBoundaries,IS_CLASSID,2);
404   PetscCheckSameComm(pc,1,DirichletBoundaries,2);
405   ierr = PetscTryMethod(pc,"PCBDDCSetDirichletBoundaries_C",(PC,IS),(pc,DirichletBoundaries));CHKERRQ(ierr);
406   PetscFunctionReturn(0);
407 }
408 /* -------------------------------------------------------------------------- */
409 
410 #undef __FUNCT__
411 #define __FUNCT__ "PCBDDCSetDirichletBoundariesLocal_BDDC"
412 static PetscErrorCode PCBDDCSetDirichletBoundariesLocal_BDDC(PC pc,IS DirichletBoundaries)
413 {
414   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
415   PetscErrorCode ierr;
416 
417   PetscFunctionBegin;
418   /* last user setting takes precendence -> destroy any other customization */
419   ierr = ISDestroy(&pcbddc->DirichletBoundariesLocal);CHKERRQ(ierr);
420   ierr = ISDestroy(&pcbddc->DirichletBoundaries);CHKERRQ(ierr);
421   ierr = PetscObjectReference((PetscObject)DirichletBoundaries);CHKERRQ(ierr);
422   pcbddc->DirichletBoundariesLocal = DirichletBoundaries;
423   pcbddc->recompute_topography = PETSC_TRUE;
424   PetscFunctionReturn(0);
425 }
426 
427 #undef __FUNCT__
428 #define __FUNCT__ "PCBDDCSetDirichletBoundariesLocal"
429 /*@
430  PCBDDCSetDirichletBoundariesLocal - Set IS defining Dirichlet boundaries for the global problem in local ordering.
431 
432    Collective
433 
434    Input Parameters:
435 +  pc - the preconditioning context
436 -  DirichletBoundaries - parallel IS defining the Dirichlet boundaries (in local ordering)
437 
438    Level: intermediate
439 
440    Notes:
441 
442 .seealso: PCBDDC, PCBDDCSetDirichletBoundaries(), MatZeroRows(), MatZeroRowsColumns()
443 @*/
444 PetscErrorCode PCBDDCSetDirichletBoundariesLocal(PC pc,IS DirichletBoundaries)
445 {
446   PetscErrorCode ierr;
447 
448   PetscFunctionBegin;
449   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
450   PetscValidHeaderSpecific(DirichletBoundaries,IS_CLASSID,2);
451   PetscCheckSameComm(pc,1,DirichletBoundaries,2);
452   ierr = PetscTryMethod(pc,"PCBDDCSetDirichletBoundariesLocal_C",(PC,IS),(pc,DirichletBoundaries));CHKERRQ(ierr);
453   PetscFunctionReturn(0);
454 }
455 /* -------------------------------------------------------------------------- */
456 
457 #undef __FUNCT__
458 #define __FUNCT__ "PCBDDCSetNeumannBoundaries_BDDC"
459 static PetscErrorCode PCBDDCSetNeumannBoundaries_BDDC(PC pc,IS NeumannBoundaries)
460 {
461   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
462   PetscErrorCode ierr;
463 
464   PetscFunctionBegin;
465   /* last user setting takes precendence -> destroy any other customization */
466   ierr = ISDestroy(&pcbddc->NeumannBoundariesLocal);CHKERRQ(ierr);
467   ierr = ISDestroy(&pcbddc->NeumannBoundaries);CHKERRQ(ierr);
468   ierr = PetscObjectReference((PetscObject)NeumannBoundaries);CHKERRQ(ierr);
469   pcbddc->NeumannBoundaries = NeumannBoundaries;
470   pcbddc->recompute_topography = PETSC_TRUE;
471   PetscFunctionReturn(0);
472 }
473 
474 #undef __FUNCT__
475 #define __FUNCT__ "PCBDDCSetNeumannBoundaries"
476 /*@
477  PCBDDCSetNeumannBoundaries - Set IS defining Neumann boundaries for the global problem.
478 
479    Collective
480 
481    Input Parameters:
482 +  pc - the preconditioning context
483 -  NeumannBoundaries - parallel IS defining the Neumann boundaries
484 
485    Level: intermediate
486 
487    Notes:
488      Any process can list any global node
489 
490 .seealso: PCBDDC, PCBDDCSetNeumannBoundariesLocal()
491 @*/
492 PetscErrorCode PCBDDCSetNeumannBoundaries(PC pc,IS NeumannBoundaries)
493 {
494   PetscErrorCode ierr;
495 
496   PetscFunctionBegin;
497   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
498   PetscValidHeaderSpecific(NeumannBoundaries,IS_CLASSID,2);
499   PetscCheckSameComm(pc,1,NeumannBoundaries,2);
500   ierr = PetscTryMethod(pc,"PCBDDCSetNeumannBoundaries_C",(PC,IS),(pc,NeumannBoundaries));CHKERRQ(ierr);
501   PetscFunctionReturn(0);
502 }
503 /* -------------------------------------------------------------------------- */
504 
505 #undef __FUNCT__
506 #define __FUNCT__ "PCBDDCSetNeumannBoundariesLocal_BDDC"
507 static PetscErrorCode PCBDDCSetNeumannBoundariesLocal_BDDC(PC pc,IS NeumannBoundaries)
508 {
509   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
510   PetscErrorCode ierr;
511 
512   PetscFunctionBegin;
513   /* last user setting takes precendence -> destroy any other customization */
514   ierr = ISDestroy(&pcbddc->NeumannBoundariesLocal);CHKERRQ(ierr);
515   ierr = ISDestroy(&pcbddc->NeumannBoundaries);CHKERRQ(ierr);
516   ierr = PetscObjectReference((PetscObject)NeumannBoundaries);CHKERRQ(ierr);
517   pcbddc->NeumannBoundariesLocal = NeumannBoundaries;
518   pcbddc->recompute_topography = PETSC_TRUE;
519   PetscFunctionReturn(0);
520 }
521 
522 #undef __FUNCT__
523 #define __FUNCT__ "PCBDDCSetNeumannBoundariesLocal"
524 /*@
525  PCBDDCSetNeumannBoundariesLocal - Set IS defining Neumann boundaries for the global problem in local ordering.
526 
527    Collective
528 
529    Input Parameters:
530 +  pc - the preconditioning context
531 -  NeumannBoundaries - parallel IS defining the subdomain part of Neumann boundaries (in local ordering)
532 
533    Level: intermediate
534 
535    Notes:
536 
537 .seealso: PCBDDC, PCBDDCSetNeumannBoundaries()
538 @*/
539 PetscErrorCode PCBDDCSetNeumannBoundariesLocal(PC pc,IS NeumannBoundaries)
540 {
541   PetscErrorCode ierr;
542 
543   PetscFunctionBegin;
544   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
545   PetscValidHeaderSpecific(NeumannBoundaries,IS_CLASSID,2);
546   PetscCheckSameComm(pc,1,NeumannBoundaries,2);
547   ierr = PetscTryMethod(pc,"PCBDDCSetNeumannBoundariesLocal_C",(PC,IS),(pc,NeumannBoundaries));CHKERRQ(ierr);
548   PetscFunctionReturn(0);
549 }
550 /* -------------------------------------------------------------------------- */
551 
552 #undef __FUNCT__
553 #define __FUNCT__ "PCBDDCGetDirichletBoundaries_BDDC"
554 static PetscErrorCode PCBDDCGetDirichletBoundaries_BDDC(PC pc,IS *DirichletBoundaries)
555 {
556   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
557 
558   PetscFunctionBegin;
559   *DirichletBoundaries = pcbddc->DirichletBoundaries;
560   PetscFunctionReturn(0);
561 }
562 
563 #undef __FUNCT__
564 #define __FUNCT__ "PCBDDCGetDirichletBoundaries"
565 /*@
566  PCBDDCGetDirichletBoundaries - Get parallel IS for Dirichlet boundaries
567 
568    Collective
569 
570    Input Parameters:
571 .  pc - the preconditioning context
572 
573    Output Parameters:
574 .  DirichletBoundaries - index set defining the Dirichlet boundaries
575 
576    Level: intermediate
577 
578    Notes:
579      The IS returned (if any) is the same passed in earlier by the user with PCBDDCSetDirichletBoundaries
580 
581 .seealso: PCBDDC
582 @*/
583 PetscErrorCode PCBDDCGetDirichletBoundaries(PC pc,IS *DirichletBoundaries)
584 {
585   PetscErrorCode ierr;
586 
587   PetscFunctionBegin;
588   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
589   ierr = PetscUseMethod(pc,"PCBDDCGetDirichletBoundaries_C",(PC,IS*),(pc,DirichletBoundaries));CHKERRQ(ierr);
590   PetscFunctionReturn(0);
591 }
592 /* -------------------------------------------------------------------------- */
593 
594 #undef __FUNCT__
595 #define __FUNCT__ "PCBDDCGetDirichletBoundariesLocal_BDDC"
596 static PetscErrorCode PCBDDCGetDirichletBoundariesLocal_BDDC(PC pc,IS *DirichletBoundaries)
597 {
598   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
599 
600   PetscFunctionBegin;
601   *DirichletBoundaries = pcbddc->DirichletBoundariesLocal;
602   PetscFunctionReturn(0);
603 }
604 
605 #undef __FUNCT__
606 #define __FUNCT__ "PCBDDCGetDirichletBoundariesLocal"
607 /*@
608  PCBDDCGetDirichletBoundariesLocal - Get parallel IS for Dirichlet boundaries (in local ordering)
609 
610    Collective
611 
612    Input Parameters:
613 .  pc - the preconditioning context
614 
615    Output Parameters:
616 .  DirichletBoundaries - index set defining the subdomain part of Dirichlet boundaries
617 
618    Level: intermediate
619 
620    Notes:
621      The IS returned could be the same passed in earlier by the user (if provided with PCBDDCSetDirichletBoundariesLocal) or a global-to-local map of the global IS (if provided with PCBDDCSetDirichletBoundaries).
622           In the latter case, the IS will be available after PCSetUp.
623 
624 .seealso: PCBDDC
625 @*/
626 PetscErrorCode PCBDDCGetDirichletBoundariesLocal(PC pc,IS *DirichletBoundaries)
627 {
628   PetscErrorCode ierr;
629 
630   PetscFunctionBegin;
631   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
632   ierr = PetscUseMethod(pc,"PCBDDCGetDirichletBoundariesLocal_C",(PC,IS*),(pc,DirichletBoundaries));CHKERRQ(ierr);
633   PetscFunctionReturn(0);
634 }
635 /* -------------------------------------------------------------------------- */
636 
637 #undef __FUNCT__
638 #define __FUNCT__ "PCBDDCGetNeumannBoundaries_BDDC"
639 static PetscErrorCode PCBDDCGetNeumannBoundaries_BDDC(PC pc,IS *NeumannBoundaries)
640 {
641   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
642 
643   PetscFunctionBegin;
644   *NeumannBoundaries = pcbddc->NeumannBoundaries;
645   PetscFunctionReturn(0);
646 }
647 
648 #undef __FUNCT__
649 #define __FUNCT__ "PCBDDCGetNeumannBoundaries"
650 /*@
651  PCBDDCGetNeumannBoundaries - Get parallel IS for Neumann boundaries
652 
653    Collective
654 
655    Input Parameters:
656 .  pc - the preconditioning context
657 
658    Output Parameters:
659 .  NeumannBoundaries - index set defining the Neumann boundaries
660 
661    Level: intermediate
662 
663    Notes:
664      The IS returned (if any) is the same passed in earlier by the user with PCBDDCSetNeumannBoundaries
665 
666 .seealso: PCBDDC
667 @*/
668 PetscErrorCode PCBDDCGetNeumannBoundaries(PC pc,IS *NeumannBoundaries)
669 {
670   PetscErrorCode ierr;
671 
672   PetscFunctionBegin;
673   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
674   ierr = PetscUseMethod(pc,"PCBDDCGetNeumannBoundaries_C",(PC,IS*),(pc,NeumannBoundaries));CHKERRQ(ierr);
675   PetscFunctionReturn(0);
676 }
677 /* -------------------------------------------------------------------------- */
678 
679 #undef __FUNCT__
680 #define __FUNCT__ "PCBDDCGetNeumannBoundariesLocal_BDDC"
681 static PetscErrorCode PCBDDCGetNeumannBoundariesLocal_BDDC(PC pc,IS *NeumannBoundaries)
682 {
683   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
684 
685   PetscFunctionBegin;
686   *NeumannBoundaries = pcbddc->NeumannBoundariesLocal;
687   PetscFunctionReturn(0);
688 }
689 
690 #undef __FUNCT__
691 #define __FUNCT__ "PCBDDCGetNeumannBoundariesLocal"
692 /*@
693  PCBDDCGetNeumannBoundariesLocal - Get parallel IS for Neumann boundaries (in local ordering)
694 
695    Collective
696 
697    Input Parameters:
698 .  pc - the preconditioning context
699 
700    Output Parameters:
701 .  NeumannBoundaries - index set defining the subdomain part of Neumann boundaries
702 
703    Level: intermediate
704 
705    Notes:
706      The IS returned could be the same passed in earlier by the user (if provided with PCBDDCSetNeumannBoundariesLocal) or a global-to-local map of the global IS (if provided with PCBDDCSetNeumannBoundaries).
707           In the latter case, the IS will be available after PCSetUp.
708 
709 .seealso: PCBDDC
710 @*/
711 PetscErrorCode PCBDDCGetNeumannBoundariesLocal(PC pc,IS *NeumannBoundaries)
712 {
713   PetscErrorCode ierr;
714 
715   PetscFunctionBegin;
716   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
717   ierr = PetscUseMethod(pc,"PCBDDCGetNeumannBoundariesLocal_C",(PC,IS*),(pc,NeumannBoundaries));CHKERRQ(ierr);
718   PetscFunctionReturn(0);
719 }
720 /* -------------------------------------------------------------------------- */
721 
722 #undef __FUNCT__
723 #define __FUNCT__ "PCBDDCSetLocalAdjacencyGraph_BDDC"
724 static PetscErrorCode PCBDDCSetLocalAdjacencyGraph_BDDC(PC pc, PetscInt nvtxs,const PetscInt xadj[],const PetscInt adjncy[], PetscCopyMode copymode)
725 {
726   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
727   PCBDDCGraph    mat_graph = pcbddc->mat_graph;
728   PetscErrorCode ierr;
729 
730   PetscFunctionBegin;
731   /* free old CSR */
732   ierr = PCBDDCGraphResetCSR(mat_graph);CHKERRQ(ierr);
733   /* TODO: PCBDDCGraphSetAdjacency */
734   /* get CSR into graph structure */
735   if (copymode == PETSC_COPY_VALUES) {
736     ierr = PetscMalloc1(nvtxs+1,&mat_graph->xadj);CHKERRQ(ierr);
737     ierr = PetscMalloc1(xadj[nvtxs],&mat_graph->adjncy);CHKERRQ(ierr);
738     ierr = PetscMemcpy(mat_graph->xadj,xadj,(nvtxs+1)*sizeof(PetscInt));CHKERRQ(ierr);
739     ierr = PetscMemcpy(mat_graph->adjncy,adjncy,xadj[nvtxs]*sizeof(PetscInt));CHKERRQ(ierr);
740   } else if (copymode == PETSC_OWN_POINTER) {
741     mat_graph->xadj = (PetscInt*)xadj;
742     mat_graph->adjncy = (PetscInt*)adjncy;
743   }
744   mat_graph->nvtxs_csr = nvtxs;
745   PetscFunctionReturn(0);
746 }
747 
748 #undef __FUNCT__
749 #define __FUNCT__ "PCBDDCSetLocalAdjacencyGraph"
750 /*@
751  PCBDDCSetLocalAdjacencyGraph - Set adjacency structure (CSR graph) of the local matrix
752 
753    Not collective
754 
755    Input Parameters:
756 +  pc - the preconditioning context
757 .  nvtxs - number of local vertices of the graph (i.e., the size of the local problem)
758 .  xadj, adjncy - the CSR graph
759 -  copymode - either PETSC_COPY_VALUES or PETSC_OWN_POINTER.
760 
761    Level: intermediate
762 
763    Notes:
764 
765 .seealso: PCBDDC,PetscCopyMode
766 @*/
767 PetscErrorCode PCBDDCSetLocalAdjacencyGraph(PC pc,PetscInt nvtxs,const PetscInt xadj[],const PetscInt adjncy[], PetscCopyMode copymode)
768 {
769   void (*f)(void) = 0;
770   PetscErrorCode ierr;
771 
772   PetscFunctionBegin;
773   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
774   PetscValidIntPointer(xadj,3);
775   PetscValidIntPointer(adjncy,4);
776   if (copymode != PETSC_COPY_VALUES && copymode != PETSC_OWN_POINTER) {
777     SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_SUP,"Unsupported copy mode %d in %s\n",copymode,__FUNCT__);
778   }
779   ierr = PetscTryMethod(pc,"PCBDDCSetLocalAdjacencyGraph_C",(PC,PetscInt,const PetscInt[],const PetscInt[],PetscCopyMode),(pc,nvtxs,xadj,adjncy,copymode));CHKERRQ(ierr);
780   /* free arrays if PCBDDC is not the PC type */
781   ierr = PetscObjectQueryFunction((PetscObject)pc,"PCBDDCSetLocalAdjacencyGraph_C",&f);CHKERRQ(ierr);
782   if (!f && copymode == PETSC_OWN_POINTER) {
783     ierr = PetscFree(xadj);CHKERRQ(ierr);
784     ierr = PetscFree(adjncy);CHKERRQ(ierr);
785   }
786   PetscFunctionReturn(0);
787 }
788 /* -------------------------------------------------------------------------- */
789 
790 #undef __FUNCT__
791 #define __FUNCT__ "PCBDDCSetDofsSplittingLocal_BDDC"
792 static PetscErrorCode PCBDDCSetDofsSplittingLocal_BDDC(PC pc,PetscInt n_is, IS ISForDofs[])
793 {
794   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
795   PetscInt i;
796   PetscErrorCode ierr;
797 
798   PetscFunctionBegin;
799   /* Destroy ISes if they were already set */
800   for (i=0;i<pcbddc->n_ISForDofsLocal;i++) {
801     ierr = ISDestroy(&pcbddc->ISForDofsLocal[i]);CHKERRQ(ierr);
802   }
803   ierr = PetscFree(pcbddc->ISForDofsLocal);CHKERRQ(ierr);
804   /* last user setting takes precendence -> destroy any other customization */
805   for (i=0;i<pcbddc->n_ISForDofs;i++) {
806     ierr = ISDestroy(&pcbddc->ISForDofs[i]);CHKERRQ(ierr);
807   }
808   ierr = PetscFree(pcbddc->ISForDofs);CHKERRQ(ierr);
809   pcbddc->n_ISForDofs = 0;
810   /* allocate space then set */
811   if (n_is) {
812     ierr = PetscMalloc1(n_is,&pcbddc->ISForDofsLocal);CHKERRQ(ierr);
813   }
814   for (i=0;i<n_is;i++) {
815     ierr = PetscObjectReference((PetscObject)ISForDofs[i]);CHKERRQ(ierr);
816     pcbddc->ISForDofsLocal[i]=ISForDofs[i];
817   }
818   pcbddc->n_ISForDofsLocal=n_is;
819   if (n_is) pcbddc->user_provided_isfordofs = PETSC_TRUE;
820   pcbddc->recompute_topography = PETSC_TRUE;
821   PetscFunctionReturn(0);
822 }
823 
824 #undef __FUNCT__
825 #define __FUNCT__ "PCBDDCSetDofsSplittingLocal"
826 /*@
827  PCBDDCSetDofsSplittingLocal - Set index sets defining fields of the local subdomain matrix
828 
829    Collective
830 
831    Input Parameters:
832 +  pc - the preconditioning context
833 .  n_is - number of index sets defining the fields
834 -  ISForDofs - array of IS describing the fields in local ordering
835 
836    Level: intermediate
837 
838    Notes:
839      n_is should be the same among processes. Not all nodes need to be listed: unlisted nodes will belong to the complement field.
840 
841 .seealso: PCBDDC
842 @*/
843 PetscErrorCode PCBDDCSetDofsSplittingLocal(PC pc,PetscInt n_is, IS ISForDofs[])
844 {
845   PetscInt       i;
846   PetscErrorCode ierr;
847 
848   PetscFunctionBegin;
849   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
850   PetscValidLogicalCollectiveInt(pc,n_is,2);
851   for (i=0;i<n_is;i++) {
852     PetscCheckSameComm(pc,1,ISForDofs[i],3);
853     PetscValidHeaderSpecific(ISForDofs[i],IS_CLASSID,3);
854   }
855   ierr = PetscTryMethod(pc,"PCBDDCSetDofsSplittingLocal_C",(PC,PetscInt,IS[]),(pc,n_is,ISForDofs));CHKERRQ(ierr);
856   PetscFunctionReturn(0);
857 }
858 /* -------------------------------------------------------------------------- */
859 
860 #undef __FUNCT__
861 #define __FUNCT__ "PCBDDCSetDofsSplitting_BDDC"
862 static PetscErrorCode PCBDDCSetDofsSplitting_BDDC(PC pc,PetscInt n_is, IS ISForDofs[])
863 {
864   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
865   PetscInt i;
866   PetscErrorCode ierr;
867 
868   PetscFunctionBegin;
869   /* Destroy ISes if they were already set */
870   for (i=0;i<pcbddc->n_ISForDofs;i++) {
871     ierr = ISDestroy(&pcbddc->ISForDofs[i]);CHKERRQ(ierr);
872   }
873   ierr = PetscFree(pcbddc->ISForDofs);CHKERRQ(ierr);
874   /* last user setting takes precendence -> destroy any other customization */
875   for (i=0;i<pcbddc->n_ISForDofsLocal;i++) {
876     ierr = ISDestroy(&pcbddc->ISForDofsLocal[i]);CHKERRQ(ierr);
877   }
878   ierr = PetscFree(pcbddc->ISForDofsLocal);CHKERRQ(ierr);
879   pcbddc->n_ISForDofsLocal = 0;
880   /* allocate space then set */
881   if (n_is) {
882     ierr = PetscMalloc1(n_is,&pcbddc->ISForDofs);CHKERRQ(ierr);
883   }
884   for (i=0;i<n_is;i++) {
885     ierr = PetscObjectReference((PetscObject)ISForDofs[i]);CHKERRQ(ierr);
886     pcbddc->ISForDofs[i]=ISForDofs[i];
887   }
888   pcbddc->n_ISForDofs=n_is;
889   if (n_is) pcbddc->user_provided_isfordofs = PETSC_TRUE;
890   pcbddc->recompute_topography = PETSC_TRUE;
891   PetscFunctionReturn(0);
892 }
893 
894 #undef __FUNCT__
895 #define __FUNCT__ "PCBDDCSetDofsSplitting"
896 /*@
897  PCBDDCSetDofsSplitting - Set index sets defining fields of the global matrix
898 
899    Collective
900 
901    Input Parameters:
902 +  pc - the preconditioning context
903 .  n_is - number of index sets defining the fields
904 -  ISForDofs - array of IS describing the fields in global ordering
905 
906    Level: intermediate
907 
908    Notes:
909      Any process can list any global node. Not all nodes need to be listed: unlisted nodes will belong to the complement field.
910 
911 .seealso: PCBDDC
912 @*/
913 PetscErrorCode PCBDDCSetDofsSplitting(PC pc,PetscInt n_is, IS ISForDofs[])
914 {
915   PetscInt       i;
916   PetscErrorCode ierr;
917 
918   PetscFunctionBegin;
919   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
920   PetscValidLogicalCollectiveInt(pc,n_is,2);
921   for (i=0;i<n_is;i++) {
922     PetscCheckSameComm(pc,1,ISForDofs[i],3);
923     PetscValidHeaderSpecific(ISForDofs[i],IS_CLASSID,3);
924   }
925   ierr = PetscTryMethod(pc,"PCBDDCSetDofsSplitting_C",(PC,PetscInt,IS[]),(pc,n_is,ISForDofs));CHKERRQ(ierr);
926   PetscFunctionReturn(0);
927 }
928 
929 /* -------------------------------------------------------------------------- */
930 #undef __FUNCT__
931 #define __FUNCT__ "PCPreSolve_BDDC"
932 /* -------------------------------------------------------------------------- */
933 /*
934    PCPreSolve_BDDC - Changes the right hand side and (if necessary) the initial
935                      guess if a transformation of basis approach has been selected.
936 
937    Input Parameter:
938 +  pc - the preconditioner contex
939 
940    Application Interface Routine: PCPreSolve()
941 
942    Notes:
943      The interface routine PCPreSolve() is not usually called directly by
944    the user, but instead is called by KSPSolve().
945 */
946 static PetscErrorCode PCPreSolve_BDDC(PC pc, KSP ksp, Vec rhs, Vec x)
947 {
948   PetscErrorCode ierr;
949   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
950   PC_IS          *pcis = (PC_IS*)(pc->data);
951   Vec            used_vec;
952   PetscBool      copy_rhs = PETSC_TRUE;
953 
954   PetscFunctionBegin;
955   /* if we are working with cg, one dirichlet solve can be avoided during Krylov iterations */
956   if (ksp) {
957     PetscBool iscg;
958     ierr = PetscObjectTypeCompare((PetscObject)ksp,KSPCG,&iscg);CHKERRQ(ierr);
959     if (!iscg) {
960       ierr = PCBDDCSetUseExactDirichlet(pc,PETSC_FALSE);CHKERRQ(ierr);
961     }
962   }
963   /* Creates parallel work vectors used in presolve */
964   if (!pcbddc->original_rhs) {
965     ierr = VecDuplicate(pcis->vec1_global,&pcbddc->original_rhs);CHKERRQ(ierr);
966   }
967   if (!pcbddc->temp_solution) {
968     ierr = VecDuplicate(pcis->vec1_global,&pcbddc->temp_solution);CHKERRQ(ierr);
969   }
970 
971   if (x) {
972     ierr = PetscObjectReference((PetscObject)x);CHKERRQ(ierr);
973     used_vec = x;
974   } else { /* it can only happen when calling PCBDDCMatFETIDPGetRHS */
975     ierr = PetscObjectReference((PetscObject)pcbddc->temp_solution);CHKERRQ(ierr);
976     used_vec = pcbddc->temp_solution;
977     ierr = VecSet(used_vec,0.0);CHKERRQ(ierr);
978   }
979 
980   /* hack into ksp data structure since PCPreSolve comes earlier than setting to zero the guess in src/ksp/ksp/interface/itfunc.c */
981   if (ksp) {
982     /* store the flag for the initial guess since it will be restored back during PCPostSolve_BDDC */
983     ierr = KSPGetInitialGuessNonzero(ksp,&pcbddc->ksp_guess_nonzero);CHKERRQ(ierr);
984     if (!pcbddc->ksp_guess_nonzero) {
985       ierr = VecSet(used_vec,0.0);CHKERRQ(ierr);
986     }
987   }
988 
989   pcbddc->rhs_change = PETSC_FALSE;
990   /* Take into account zeroed rows -> change rhs and store solution removed */
991   if (rhs) {
992     IS dirIS = NULL;
993 
994     /* DirichletBoundariesLocal may not be consistent among neighbours; gets a dirichlet dofs IS from graph (may be cached) */
995     ierr = PCBDDCGraphGetDirichletDofs(pcbddc->mat_graph,&dirIS);CHKERRQ(ierr);
996     if (dirIS) {
997       Mat_IS            *matis = (Mat_IS*)pc->pmat->data;
998       PetscInt          dirsize,i,*is_indices;
999       PetscScalar       *array_x;
1000       const PetscScalar *array_diagonal;
1001 
1002       ierr = MatGetDiagonal(pc->pmat,pcis->vec1_global);CHKERRQ(ierr);
1003       ierr = VecPointwiseDivide(pcis->vec1_global,rhs,pcis->vec1_global);CHKERRQ(ierr);
1004       ierr = VecScatterBegin(matis->rctx,pcis->vec1_global,pcis->vec2_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1005       ierr = VecScatterEnd(matis->rctx,pcis->vec1_global,pcis->vec2_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1006       ierr = VecScatterBegin(matis->rctx,used_vec,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1007       ierr = VecScatterEnd(matis->rctx,used_vec,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1008       ierr = ISGetLocalSize(dirIS,&dirsize);CHKERRQ(ierr);
1009       ierr = VecGetArray(pcis->vec1_N,&array_x);CHKERRQ(ierr);
1010       ierr = VecGetArrayRead(pcis->vec2_N,&array_diagonal);CHKERRQ(ierr);
1011       ierr = ISGetIndices(dirIS,(const PetscInt**)&is_indices);CHKERRQ(ierr);
1012       for (i=0; i<dirsize; i++) array_x[is_indices[i]] = array_diagonal[is_indices[i]];
1013       ierr = ISRestoreIndices(dirIS,(const PetscInt**)&is_indices);CHKERRQ(ierr);
1014       ierr = VecRestoreArrayRead(pcis->vec2_N,&array_diagonal);CHKERRQ(ierr);
1015       ierr = VecRestoreArray(pcis->vec1_N,&array_x);CHKERRQ(ierr);
1016       ierr = VecScatterBegin(matis->rctx,pcis->vec1_N,used_vec,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1017       ierr = VecScatterEnd(matis->rctx,pcis->vec1_N,used_vec,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1018       pcbddc->rhs_change = PETSC_TRUE;
1019       ierr = ISDestroy(&dirIS);CHKERRQ(ierr);
1020     }
1021   }
1022 
1023   /* remove the computed solution or the initial guess from the rhs */
1024   if (pcbddc->rhs_change || (ksp && pcbddc->ksp_guess_nonzero) ) {
1025     /* store the original rhs */
1026     if (copy_rhs) {
1027       ierr = VecCopy(rhs,pcbddc->original_rhs);CHKERRQ(ierr);
1028       copy_rhs = PETSC_FALSE;
1029     }
1030     pcbddc->rhs_change = PETSC_TRUE;
1031     ierr = VecScale(used_vec,-1.0);CHKERRQ(ierr);
1032     ierr = MatMultAdd(pc->mat,used_vec,rhs,rhs);CHKERRQ(ierr);
1033     ierr = VecScale(used_vec,-1.0);CHKERRQ(ierr);
1034     ierr = VecCopy(used_vec,pcbddc->temp_solution);CHKERRQ(ierr);
1035     if (ksp) {
1036       ierr = KSPSetInitialGuessNonzero(ksp,PETSC_FALSE);CHKERRQ(ierr);
1037     }
1038   }
1039   ierr = VecDestroy(&used_vec);CHKERRQ(ierr);
1040 
1041   /* When using the benign trick: (TODO: what about FETI-DP?)
1042      - change rhs on pressures (iteration matrix is surely of type MATIS)
1043      - compute initial vector in benign space
1044   */
1045   if (rhs && pcbddc->benign_saddle_point) {
1046     Mat_IS *matis = (Mat_IS*)(pc->mat->data);
1047 
1048     /* store the original rhs */
1049     if (copy_rhs) {
1050       ierr = VecCopy(rhs,pcbddc->original_rhs);CHKERRQ(ierr);
1051       copy_rhs = PETSC_FALSE;
1052     }
1053 
1054     /* now change (locally) the basis */
1055     ierr = VecScatterBegin(matis->rctx,rhs,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1056     ierr = VecScatterEnd(matis->rctx,rhs,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1057     if (pcbddc->benign_change) {
1058       ierr = MatMultTranspose(pcbddc->benign_change,pcis->vec1_N,pcis->vec2_N);CHKERRQ(ierr);
1059       ierr = VecScatterBegin(matis->rctx,pcis->vec2_N,rhs,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1060       ierr = VecScatterEnd(matis->rctx,pcis->vec2_N,rhs,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1061       /* change local iteration matrix */
1062       ierr = MatPtAP(matis->A,pcbddc->benign_change,MAT_REUSE_MATRIX,2.0,&pcbddc->local_mat);CHKERRQ(ierr);
1063       ierr = MatDestroy(&pcbddc->benign_original_mat);CHKERRQ(ierr);
1064       ierr = PetscObjectReference((PetscObject)matis->A);CHKERRQ(ierr);
1065       pcbddc->benign_original_mat = matis->A;
1066       ierr = MatDestroy(&matis->A);CHKERRQ(ierr);
1067       ierr = PetscObjectReference((PetscObject)pcbddc->local_mat);CHKERRQ(ierr);
1068       matis->A = pcbddc->local_mat;
1069       ierr = MatDestroy(&pcbddc->local_mat);CHKERRQ(ierr);
1070     } else {
1071       ierr = VecScatterBegin(matis->rctx,pcis->vec1_N,rhs,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1072       ierr = VecScatterEnd(matis->rctx,pcis->vec1_N,rhs,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1073     }
1074     pcbddc->rhs_change = PETSC_TRUE;
1075 
1076     /* compute u^*_h as in Xuemin Tu's thesis (see Section 4.8.1) */
1077     /* TODO: what about Stokes? */
1078     if (!pcbddc->benign_vec) {
1079       ierr = VecDuplicate(rhs,&pcbddc->benign_vec);CHKERRQ(ierr);
1080     }
1081     ierr = VecSet(pcis->vec1_global,0.);CHKERRQ(ierr);
1082     pcbddc->benign_p0 = 0.;
1083     if (pcbddc->benign_p0_lidx >= 0) {
1084       const PetscScalar *array;
1085 
1086       ierr = VecGetArrayRead(pcis->vec2_N,&array);CHKERRQ(ierr);
1087       pcbddc->benign_p0 = array[pcbddc->benign_p0_lidx];
1088       ierr = VecRestoreArrayRead(pcis->vec2_N,&array);CHKERRQ(ierr);
1089     }
1090     ierr = PCBDDCBenignGetOrSetP0(pc,pcis->vec1_global,PETSC_FALSE);CHKERRQ(ierr);
1091     ierr = PCApply_BDDC(pc,pcis->vec1_global,pcbddc->benign_vec);CHKERRQ(ierr);
1092     pcbddc->benign_p0 = 0.;
1093     ierr = PCBDDCBenignGetOrSetP0(pc,pcbddc->benign_vec,PETSC_FALSE);CHKERRQ(ierr);
1094     if (pcbddc->benign_saddle_point) {
1095       Mat_IS* matis = (Mat_IS*)(pc->mat->data);
1096       ierr = VecScatterBegin(matis->rctx,pcbddc->benign_vec,matis->x,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1097       ierr = VecScatterEnd(matis->rctx,pcbddc->benign_vec,matis->x,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1098     }
1099   }
1100 
1101   /* change rhs and iteration matrix if using the change of basis */
1102   if (pcbddc->ChangeOfBasisMatrix) {
1103     PCBDDCChange_ctx change_ctx;
1104 
1105     /* get change ctx */
1106     ierr = MatShellGetContext(pcbddc->new_global_mat,&change_ctx);CHKERRQ(ierr);
1107 
1108     /* set current iteration matrix inside change context (change of basis has been already set into the ctx during PCSetUp) */
1109     ierr = MatDestroy(&change_ctx->original_mat);CHKERRQ(ierr);
1110     ierr = PetscObjectReference((PetscObject)pc->mat);CHKERRQ(ierr);
1111     change_ctx->original_mat = pc->mat;
1112 
1113     /* change iteration matrix */
1114     ierr = MatDestroy(&pc->mat);CHKERRQ(ierr);
1115     ierr = PetscObjectReference((PetscObject)pcbddc->new_global_mat);CHKERRQ(ierr);
1116     pc->mat = pcbddc->new_global_mat;
1117 
1118     /* store the original rhs */
1119     if (copy_rhs) {
1120       ierr = VecCopy(rhs,pcbddc->original_rhs);CHKERRQ(ierr);
1121       copy_rhs = PETSC_FALSE;
1122     }
1123 
1124     /* change rhs */
1125     ierr = MatMultTranspose(change_ctx->global_change,rhs,pcis->vec1_global);CHKERRQ(ierr);
1126     ierr = VecCopy(pcis->vec1_global,rhs);CHKERRQ(ierr);
1127     pcbddc->rhs_change = PETSC_TRUE;
1128   }
1129 
1130   /* remove non-benign solution from the rhs */
1131   if (pcbddc->benign_saddle_point) {
1132     /* store the original rhs */
1133     if (copy_rhs) {
1134       ierr = VecCopy(rhs,pcbddc->original_rhs);CHKERRQ(ierr);
1135       copy_rhs = PETSC_FALSE;
1136     }
1137     ierr = VecScale(pcbddc->benign_vec,-1.0);CHKERRQ(ierr);
1138     ierr = MatMultAdd(pc->mat,pcbddc->benign_vec,rhs,rhs);CHKERRQ(ierr);
1139     pcbddc->rhs_change = PETSC_TRUE;
1140   }
1141 
1142   /* set initial guess if using PCG */
1143   if (x && pcbddc->use_exact_dirichlet_trick) {
1144     ierr = VecSet(x,0.0);CHKERRQ(ierr);
1145     ierr = VecScatterBegin(pcis->global_to_D,rhs,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1146     ierr = VecScatterEnd(pcis->global_to_D,rhs,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1147     ierr = KSPSolve(pcbddc->ksp_D,pcis->vec1_D,pcis->vec2_D);CHKERRQ(ierr);
1148     ierr = VecScatterBegin(pcis->global_to_D,pcis->vec2_D,x,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1149     ierr = VecScatterEnd(pcis->global_to_D,pcis->vec2_D,x,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1150     if (ksp) {
1151       ierr = KSPSetInitialGuessNonzero(ksp,PETSC_TRUE);CHKERRQ(ierr);
1152     }
1153   }
1154 
1155   /* remove nullspace if present */
1156   if (ksp && x && pcbddc->NullSpace) {
1157     ierr = MatNullSpaceRemove(pcbddc->NullSpace,x);CHKERRQ(ierr);
1158     /* store the original rhs */
1159     if (copy_rhs) {
1160       ierr = VecCopy(rhs,pcbddc->original_rhs);CHKERRQ(ierr);
1161       copy_rhs = PETSC_FALSE;
1162     }
1163     pcbddc->rhs_change = PETSC_TRUE;
1164     ierr = MatNullSpaceRemove(pcbddc->NullSpace,rhs);CHKERRQ(ierr);
1165   }
1166   PetscFunctionReturn(0);
1167 }
1168 
1169 /* -------------------------------------------------------------------------- */
1170 #undef __FUNCT__
1171 #define __FUNCT__ "PCPostSolve_BDDC"
1172 /* -------------------------------------------------------------------------- */
1173 /*
1174    PCPostSolve_BDDC - Changes the computed solution if a transformation of basis
1175                      approach has been selected. Also, restores rhs to its original state.
1176 
1177    Input Parameter:
1178 +  pc - the preconditioner contex
1179 
1180    Application Interface Routine: PCPostSolve()
1181 
1182    Notes:
1183      The interface routine PCPostSolve() is not usually called directly by
1184      the user, but instead is called by KSPSolve().
1185 */
1186 static PetscErrorCode PCPostSolve_BDDC(PC pc, KSP ksp, Vec rhs, Vec x)
1187 {
1188   PetscErrorCode ierr;
1189   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
1190 
1191   PetscFunctionBegin;
1192   if (pcbddc->ChangeOfBasisMatrix) {
1193     PCBDDCChange_ctx change_ctx;
1194 
1195     /* get change ctx */
1196     ierr = MatShellGetContext(pcbddc->new_global_mat,&change_ctx);CHKERRQ(ierr);
1197 
1198     /* restore iteration matrix */
1199     ierr = MatDestroy(&pc->mat);CHKERRQ(ierr);
1200     ierr = PetscObjectReference((PetscObject)change_ctx->original_mat);CHKERRQ(ierr);
1201     pc->mat = change_ctx->original_mat;
1202 
1203     /* need to restore the local matrices */
1204     if (pcbddc->benign_saddle_point && pcbddc->benign_change) {
1205       Mat_IS *matis = (Mat_IS*)pc->mat->data;
1206 
1207       ierr = MatDestroy(&matis->A);CHKERRQ(ierr);
1208       ierr = PetscObjectReference((PetscObject)pcbddc->benign_original_mat);CHKERRQ(ierr);
1209       matis->A = pcbddc->benign_original_mat;
1210       ierr = MatDestroy(&pcbddc->benign_original_mat);CHKERRQ(ierr);
1211     }
1212 
1213     /* get solution in original basis */
1214     if (x) {
1215       PC_IS *pcis = (PC_IS*)(pc->data);
1216 
1217 
1218       /* restore solution on pressures */
1219       if (pcbddc->benign_saddle_point) {
1220         Mat_IS *matis = (Mat_IS*)pc->mat->data;
1221 
1222         /* add non-benign solution */
1223         ierr = VecAXPY(x,-1.0,pcbddc->benign_vec);CHKERRQ(ierr);
1224 
1225         /* change basis on pressures for x */
1226         ierr = VecScatterBegin(matis->rctx,x,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1227         ierr = VecScatterEnd(matis->rctx,x,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1228         if (pcbddc->benign_change) {
1229 
1230           ierr = MatMult(pcbddc->benign_change,pcis->vec1_N,pcis->vec2_N);CHKERRQ(ierr);
1231           ierr = VecScatterBegin(matis->rctx,pcis->vec2_N,x,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1232           ierr = VecScatterEnd(matis->rctx,pcis->vec2_N,x,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1233         } else {
1234           ierr = VecScatterBegin(matis->rctx,pcis->vec1_N,x,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1235           ierr = VecScatterEnd(matis->rctx,pcis->vec1_N,x,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1236         }
1237       }
1238       /* change basis on x */
1239       ierr = MatMult(change_ctx->global_change,x,pcis->vec1_global);CHKERRQ(ierr);
1240       ierr = VecCopy(pcis->vec1_global,x);CHKERRQ(ierr);
1241     }
1242   }
1243 
1244   /* add solution removed in presolve */
1245   if (x && pcbddc->rhs_change) {
1246     ierr = VecAXPY(x,1.0,pcbddc->temp_solution);CHKERRQ(ierr);
1247   }
1248 
1249   /* restore rhs to its original state */
1250   if (rhs && pcbddc->rhs_change) {
1251     ierr = VecCopy(pcbddc->original_rhs,rhs);CHKERRQ(ierr);
1252   }
1253   pcbddc->rhs_change = PETSC_FALSE;
1254 
1255   /* restore ksp guess state */
1256   if (ksp) {
1257     ierr = KSPSetInitialGuessNonzero(ksp,pcbddc->ksp_guess_nonzero);CHKERRQ(ierr);
1258   }
1259   PetscFunctionReturn(0);
1260 }
1261 /* -------------------------------------------------------------------------- */
1262 #undef __FUNCT__
1263 #define __FUNCT__ "PCSetUp_BDDC"
1264 /* -------------------------------------------------------------------------- */
1265 /*
1266    PCSetUp_BDDC - Prepares for the use of the BDDC preconditioner
1267                   by setting data structures and options.
1268 
1269    Input Parameter:
1270 +  pc - the preconditioner context
1271 
1272    Application Interface Routine: PCSetUp()
1273 
1274    Notes:
1275      The interface routine PCSetUp() is not usually called directly by
1276      the user, but instead is called by PCApply() if necessary.
1277 */
1278 PetscErrorCode PCSetUp_BDDC(PC pc)
1279 {
1280   PetscErrorCode ierr;
1281   PC_BDDC*       pcbddc = (PC_BDDC*)pc->data;
1282   Mat_IS*        matis;
1283   MatNullSpace   nearnullspace;
1284   IS             zerodiag = NULL;
1285   PetscInt       nrows,ncols;
1286   PetscBool      computetopography,computesolvers,computesubschurs;
1287   PetscBool      computeconstraintsmatrix;
1288   PetscBool      new_nearnullspace_provided,ismatis;
1289 
1290   PetscFunctionBegin;
1291   ierr = PetscObjectTypeCompare((PetscObject)pc->pmat,MATIS,&ismatis);CHKERRQ(ierr);
1292   if (!ismatis) {
1293     SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_ARG_WRONG,"PCBDDC preconditioner requires matrix of type MATIS");
1294   }
1295   ierr = MatGetSize(pc->pmat,&nrows,&ncols);CHKERRQ(ierr);
1296   if (nrows != ncols) {
1297     SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"PCBDDC preconditioner requires a square preconditioning matrix");
1298   }
1299   matis = (Mat_IS*)pc->pmat->data;
1300   /* the following lines of code should be replaced by a better logic between PCIS, PCNN, PCBDDC and other future nonoverlapping preconditioners */
1301   /* For BDDC we need to define a local "Neumann" problem different to that defined in PCISSetup
1302      Also, BDDC directly build the Dirichlet problem */
1303   /* split work */
1304   if (pc->setupcalled) {
1305     if (pc->flag == SAME_NONZERO_PATTERN) {
1306       computetopography = PETSC_FALSE;
1307       computesolvers = PETSC_TRUE;
1308     } else { /* DIFFERENT_NONZERO_PATTERN */
1309       computetopography = PETSC_TRUE;
1310       computesolvers = PETSC_TRUE;
1311     }
1312   } else {
1313     computetopography = PETSC_TRUE;
1314     computesolvers = PETSC_TRUE;
1315   }
1316   if (pcbddc->recompute_topography) {
1317     computetopography = PETSC_TRUE;
1318   }
1319   computeconstraintsmatrix = PETSC_FALSE;
1320 
1321   /* check parameters' compatibility */
1322   if (pcbddc->adaptive_threshold > 0.0 && !pcbddc->use_deluxe_scaling) {
1323     SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Cannot compute adaptive constraints without deluxe scaling. Rerun with -pc_bddc_use_deluxe_scaling");
1324   }
1325   pcbddc->adaptive_selection = (PetscBool)(pcbddc->adaptive_threshold > 0.0 && pcbddc->use_deluxe_scaling);
1326   if (pcbddc->adaptive_selection) pcbddc->use_faces = PETSC_TRUE;
1327 
1328   computesubschurs = (PetscBool)(pcbddc->adaptive_selection || pcbddc->use_deluxe_scaling);
1329   if (pcbddc->faster_deluxe && pcbddc->adaptive_selection && pcbddc->use_change_of_basis) {
1330     SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Cannot compute faster deluxe if adaptivity and change of basis are both requested. Rerun with -pc_bddc_deluxe_faster false");
1331   }
1332 
1333   /* check if the iteration matrix is of type MATIS in case the benign trick has been requested */
1334   ierr = PetscObjectTypeCompare((PetscObject)pc->mat,MATIS,&ismatis);CHKERRQ(ierr);
1335   if (pcbddc->benign_saddle_point && !ismatis) {
1336     SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_ARG_WRONG,"PCBDDC preconditioner with benign subspace trick requires the iteration matrix to be of type MATIS");
1337   }
1338 
1339   /* Get stdout for dbg */
1340   if (pcbddc->dbg_flag) {
1341     if (!pcbddc->dbg_viewer) {
1342       pcbddc->dbg_viewer = PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)pc));
1343       ierr = PetscViewerASCIISynchronizedAllow(pcbddc->dbg_viewer,PETSC_TRUE);CHKERRQ(ierr);
1344     }
1345     ierr = PetscViewerASCIIAddTab(pcbddc->dbg_viewer,2*pcbddc->current_level);CHKERRQ(ierr);
1346   }
1347 
1348   if (pcbddc->user_ChangeOfBasisMatrix) {
1349     /* use_change_of_basis flag is used to automatically compute a change of basis from constraints */
1350     pcbddc->use_change_of_basis = PETSC_FALSE;
1351     ierr = PCBDDCComputeLocalMatrix(pc,pcbddc->user_ChangeOfBasisMatrix);CHKERRQ(ierr);
1352   } else {
1353     ierr = MatDestroy(&pcbddc->local_mat);CHKERRQ(ierr);
1354     ierr = PetscObjectReference((PetscObject)matis->A);CHKERRQ(ierr);
1355     pcbddc->local_mat = matis->A;
1356   }
1357 
1358   /* change basis on local pressures (aka zerodiag dofs) */
1359   if (pcbddc->benign_saddle_point) {
1360     /* detect local saddle point and change the basis in pcbddc->local_mat */
1361     ierr = PCBDDCBenignDetectSaddlePoint(pc,&zerodiag);CHKERRQ(ierr);
1362     /* pop B0 mat from pcbddc->local_mat */
1363     ierr = PCBDDCBenignPopOrPushB0(pc,PETSC_TRUE);CHKERRQ(ierr);
1364   }
1365 
1366   /* propagate relevant information */
1367   /* workaround for reals */
1368 #if !defined(PETSC_USE_COMPLEX)
1369   if (matis->A->symmetric_set) {
1370     ierr = MatSetOption(pcbddc->local_mat,MAT_HERMITIAN,matis->A->symmetric);CHKERRQ(ierr);
1371   }
1372 #endif
1373   if (matis->A->symmetric_set) {
1374     ierr = MatSetOption(pcbddc->local_mat,MAT_SYMMETRIC,matis->A->symmetric);CHKERRQ(ierr);
1375   }
1376   if (matis->A->spd_set) {
1377     ierr = MatSetOption(pcbddc->local_mat,MAT_SPD,matis->A->spd);CHKERRQ(ierr);
1378   }
1379 
1380   /* Set up all the "iterative substructuring" common block without computing solvers */
1381   {
1382     Mat temp_mat;
1383 
1384     temp_mat = matis->A;
1385     matis->A = pcbddc->local_mat;
1386     ierr = PCISSetUp(pc,PETSC_FALSE);CHKERRQ(ierr);
1387     pcbddc->local_mat = matis->A;
1388     matis->A = temp_mat;
1389   }
1390 
1391   /* Analyze interface */
1392   if (computetopography) {
1393     ierr = PCBDDCAnalyzeInterface(pc);CHKERRQ(ierr);
1394     computeconstraintsmatrix = PETSC_TRUE;
1395   }
1396 
1397   /* check existence of a divergence free extension, i.e.
1398      b(v_I,p_0) = 0 for all v_I (raise error if not).
1399      Also, check that PCBDDCBenignGetOrSetP0 works */
1400 #if defined(PETSC_USE_DEBUG)
1401   if (pcbddc->benign_saddle_point) {
1402     ierr = PCBDDCBenignCheck(pc,zerodiag);CHKERRQ(ierr);
1403   }
1404 #endif
1405 
1406   /* Setup local dirichlet solver ksp_D and sub_schurs solvers */
1407   if (computesolvers) {
1408     PCBDDCSubSchurs sub_schurs=pcbddc->sub_schurs;
1409 
1410     if (computesubschurs && computetopography) {
1411       ierr = PCBDDCInitSubSchurs(pc);CHKERRQ(ierr);
1412     }
1413     if (sub_schurs->use_mumps) {
1414       if (computesubschurs) {
1415         ierr = PCBDDCSetUpSubSchurs(pc);CHKERRQ(ierr);
1416       }
1417       ierr = PCBDDCSetUpLocalSolvers(pc,PETSC_TRUE,PETSC_FALSE);CHKERRQ(ierr);
1418     } else {
1419       ierr = PCBDDCSetUpLocalSolvers(pc,PETSC_TRUE,PETSC_FALSE);CHKERRQ(ierr);
1420       if (computesubschurs) {
1421         ierr = PCBDDCSetUpSubSchurs(pc);CHKERRQ(ierr);
1422       }
1423     }
1424     if (pcbddc->adaptive_selection) {
1425       ierr = PCBDDCAdaptiveSelection(pc);CHKERRQ(ierr);
1426       computeconstraintsmatrix = PETSC_TRUE;
1427     }
1428   }
1429 
1430   /* infer if NullSpace object attached to Mat via MatSetNearNullSpace has changed */
1431   new_nearnullspace_provided = PETSC_FALSE;
1432   ierr = MatGetNearNullSpace(pc->pmat,&nearnullspace);CHKERRQ(ierr);
1433   if (pcbddc->onearnullspace) { /* already used nearnullspace */
1434     if (!nearnullspace) { /* near null space attached to mat has been destroyed */
1435       new_nearnullspace_provided = PETSC_TRUE;
1436     } else {
1437       /* determine if the two nullspaces are different (should be lightweight) */
1438       if (nearnullspace != pcbddc->onearnullspace) {
1439         new_nearnullspace_provided = PETSC_TRUE;
1440       } else { /* maybe the user has changed the content of the nearnullspace so check vectors ObjectStateId */
1441         PetscInt         i;
1442         const Vec        *nearnullvecs;
1443         PetscObjectState state;
1444         PetscInt         nnsp_size;
1445         ierr = MatNullSpaceGetVecs(nearnullspace,NULL,&nnsp_size,&nearnullvecs);CHKERRQ(ierr);
1446         for (i=0;i<nnsp_size;i++) {
1447           ierr = PetscObjectStateGet((PetscObject)nearnullvecs[i],&state);CHKERRQ(ierr);
1448           if (pcbddc->onearnullvecs_state[i] != state) {
1449             new_nearnullspace_provided = PETSC_TRUE;
1450             break;
1451           }
1452         }
1453       }
1454     }
1455   } else {
1456     if (!nearnullspace) { /* both nearnullspaces are null */
1457       new_nearnullspace_provided = PETSC_FALSE;
1458     } else { /* nearnullspace attached later */
1459       new_nearnullspace_provided = PETSC_TRUE;
1460     }
1461   }
1462 
1463   /* Setup constraints and related work vectors */
1464   /* reset primal space flags */
1465   pcbddc->new_primal_space = PETSC_FALSE;
1466   pcbddc->new_primal_space_local = PETSC_FALSE;
1467   if (computeconstraintsmatrix || new_nearnullspace_provided) {
1468     /* It also sets the primal space flags */
1469     ierr = PCBDDCConstraintsSetUp(pc);CHKERRQ(ierr);
1470     /* Allocate needed local vectors (which depends on quantities defined during ConstraintsSetUp) */
1471     ierr = PCBDDCSetUpLocalWorkVectors(pc);CHKERRQ(ierr);
1472   }
1473 
1474   if (computesolvers || pcbddc->new_primal_space) {
1475     if (pcbddc->use_change_of_basis) {
1476       PC_IS *pcis = (PC_IS*)(pc->data);
1477       Mat   temp_mat = NULL;
1478 
1479       if (zerodiag) {
1480         /* insert B0 in pcbddc->local_mat */
1481         ierr = PCBDDCBenignPopOrPushB0(pc,PETSC_FALSE);CHKERRQ(ierr);
1482         /* swap local matrices */
1483         ierr = MatISGetLocalMat(pc->pmat,&temp_mat);CHKERRQ(ierr);
1484         ierr = PetscObjectReference((PetscObject)temp_mat);CHKERRQ(ierr);
1485         ierr = MatISSetLocalMat(pc->pmat,pcbddc->local_mat);CHKERRQ(ierr);
1486         ierr = MatDestroy(&pcbddc->local_mat);CHKERRQ(ierr);
1487       }
1488       ierr = PCBDDCComputeLocalMatrix(pc,pcbddc->ChangeOfBasisMatrix);CHKERRQ(ierr);
1489       if (zerodiag) {
1490         /* restore original matrix */
1491         ierr = MatISSetLocalMat(pc->pmat,temp_mat);CHKERRQ(ierr);
1492         ierr = PetscObjectDereference((PetscObject)temp_mat);CHKERRQ(ierr);
1493         /* pop B0 from pcbddc->local_mat */
1494         ierr = PCBDDCBenignPopOrPushB0(pc,PETSC_TRUE);CHKERRQ(ierr);
1495       }
1496       /* get submatrices */
1497       ierr = MatDestroy(&pcis->A_IB);CHKERRQ(ierr);
1498       ierr = MatDestroy(&pcis->A_BI);CHKERRQ(ierr);
1499       ierr = MatDestroy(&pcis->A_BB);CHKERRQ(ierr);
1500       ierr = MatGetSubMatrix(pcbddc->local_mat,pcis->is_B_local,pcis->is_B_local,MAT_INITIAL_MATRIX,&pcis->A_BB);CHKERRQ(ierr);
1501       ierr = MatGetSubMatrix(pcbddc->local_mat,pcis->is_I_local,pcis->is_B_local,MAT_INITIAL_MATRIX,&pcis->A_IB);CHKERRQ(ierr);
1502       ierr = MatGetSubMatrix(pcbddc->local_mat,pcis->is_B_local,pcis->is_I_local,MAT_INITIAL_MATRIX,&pcis->A_BI);CHKERRQ(ierr);
1503       /* set flag in pcis to not reuse submatrices during PCISCreate */
1504       pcis->reusesubmatrices = PETSC_FALSE;
1505     } else if (!pcbddc->user_ChangeOfBasisMatrix) {
1506       ierr = MatDestroy(&pcbddc->local_mat);CHKERRQ(ierr);
1507       ierr = PetscObjectReference((PetscObject)matis->A);CHKERRQ(ierr);
1508       pcbddc->local_mat = matis->A;
1509     }
1510     /* SetUp coarse and local Neumann solvers */
1511     ierr = PCBDDCSetUpSolvers(pc);CHKERRQ(ierr);
1512     /* SetUp Scaling operator */
1513     ierr = PCBDDCScalingSetUp(pc);CHKERRQ(ierr);
1514   }
1515 
1516   /* check BDDC operator */
1517   if (pcbddc->dbg_flag && (pcbddc->n_vertices == pcbddc->local_primal_size) ) {
1518     PC_IS          *pcis = (PC_IS*)(pc->data);
1519     Mat            S_j,B0=NULL,B0_B=NULL;
1520     Vec            dummy_vec=NULL,vec_check_B,vec_scale_P;
1521     PetscScalar    norm,p0_check,*array,*array2;
1522     PetscInt       i;
1523 
1524     /* B0 and B0_B */
1525     if (zerodiag) {
1526       IS       dummy;
1527       PetscInt ii[2];
1528 
1529       ii[0] = 0;
1530       ii[1] = pcbddc->B0_ncol;
1531       ierr = MatCreateSeqAIJWithArrays(PETSC_COMM_SELF,1,pcis->n,ii,pcbddc->B0_cols,pcbddc->B0_vals,&B0);CHKERRQ(ierr);
1532       ierr = ISCreateStride(PETSC_COMM_SELF,1,0,1,&dummy);CHKERRQ(ierr);
1533       ierr = MatGetSubMatrix(B0,dummy,pcis->is_B_local,MAT_INITIAL_MATRIX,&B0_B);CHKERRQ(ierr);
1534       ierr = MatCreateVecs(B0_B,NULL,&dummy_vec);CHKERRQ(ierr);
1535       ierr = ISDestroy(&dummy);CHKERRQ(ierr);
1536     }
1537     /* I need a primal vector to scale primal nodes since BDDC sums contibutions */
1538     ierr = VecDuplicate(pcbddc->vec1_P,&vec_scale_P);CHKERRQ(ierr);
1539     ierr = VecSet(pcbddc->vec1_P,1.0);CHKERRQ(ierr);
1540     ierr = VecScatterBegin(pcbddc->coarse_loc_to_glob,pcbddc->vec1_P,pcbddc->coarse_vec,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1541     ierr = VecScatterEnd(pcbddc->coarse_loc_to_glob,pcbddc->vec1_P,pcbddc->coarse_vec,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1542     ierr = VecScatterBegin(pcbddc->coarse_loc_to_glob,pcbddc->coarse_vec,vec_scale_P,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1543     ierr = VecScatterEnd(pcbddc->coarse_loc_to_glob,pcbddc->coarse_vec,vec_scale_P,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1544     ierr = VecReciprocal(vec_scale_P);CHKERRQ(ierr);
1545     /* S_j */
1546     ierr = MatCreateSchurComplement(pcis->A_II,pcis->A_II,pcis->A_IB,pcis->A_BI,pcis->A_BB,&S_j);CHKERRQ(ierr);
1547     ierr = MatSchurComplementSetKSP(S_j,pcbddc->ksp_D);CHKERRQ(ierr);
1548 
1549     /* mimic vector in \widetilde{W}_\Gamma */
1550     ierr = VecSetRandom(pcis->vec1_N,NULL);CHKERRQ(ierr);
1551     /* continuous in primal space */
1552     ierr = VecSetRandom(pcbddc->coarse_vec,NULL);CHKERRQ(ierr);
1553     ierr = VecScatterBegin(pcbddc->coarse_loc_to_glob,pcbddc->coarse_vec,pcbddc->vec1_P,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1554     ierr = VecScatterEnd(pcbddc->coarse_loc_to_glob,pcbddc->coarse_vec,pcbddc->vec1_P,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1555     ierr = VecGetArray(pcbddc->vec1_P,&array);CHKERRQ(ierr);
1556     if (zerodiag) {
1557       p0_check = array[pcbddc->local_primal_size-1];
1558     } else {
1559       p0_check = 0;
1560     }
1561     ierr = VecSetValues(pcis->vec1_N,pcbddc->local_primal_size,pcbddc->local_primal_ref_node,array,INSERT_VALUES);CHKERRQ(ierr);
1562     ierr = VecRestoreArray(pcbddc->vec1_P,&array);CHKERRQ(ierr);
1563     ierr = VecAssemblyBegin(pcis->vec1_N);CHKERRQ(ierr);
1564     ierr = VecAssemblyEnd(pcis->vec1_N);CHKERRQ(ierr);
1565     ierr = VecScatterBegin(pcis->N_to_B,pcis->vec1_N,pcis->vec2_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1566     ierr = VecScatterEnd(pcis->N_to_B,pcis->vec1_N,pcis->vec2_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1567     ierr = VecDuplicate(pcis->vec2_B,&vec_check_B);CHKERRQ(ierr);
1568     ierr = VecCopy(pcis->vec2_B,vec_check_B);CHKERRQ(ierr);
1569 
1570     /* assemble rhs for coarse problem */
1571     /* widetilde{S}_\Gamma w_\Gamma + \widetilde{B0}^T_B p0 */
1572     /* local with Schur */
1573     ierr = MatMult(S_j,pcis->vec2_B,pcis->vec1_B);CHKERRQ(ierr);
1574     if (zerodiag) {
1575       ierr = VecGetArray(dummy_vec,&array);CHKERRQ(ierr);
1576       array[0] = p0_check;
1577       ierr = VecRestoreArray(dummy_vec,&array);CHKERRQ(ierr);
1578       ierr = MatMultTransposeAdd(B0_B,dummy_vec,pcis->vec1_B,pcis->vec1_B);CHKERRQ(ierr);
1579     }
1580     /* sum on primal nodes the local contributions */
1581     ierr = VecScatterBegin(pcis->N_to_B,pcis->vec1_B,pcis->vec1_N,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1582     ierr = VecScatterEnd(pcis->N_to_B,pcis->vec1_B,pcis->vec1_N,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1583     ierr = VecGetArray(pcis->vec1_N,&array);CHKERRQ(ierr);
1584     ierr = VecGetArray(pcbddc->vec1_P,&array2);CHKERRQ(ierr);
1585     for (i=0;i<pcbddc->local_primal_size;i++) array2[i] = array[pcbddc->local_primal_ref_node[i]];
1586     ierr = VecRestoreArray(pcbddc->vec1_P,&array2);CHKERRQ(ierr);
1587     ierr = VecRestoreArray(pcis->vec1_N,&array);CHKERRQ(ierr);
1588     ierr = VecSet(pcbddc->coarse_vec,0.);CHKERRQ(ierr);
1589     ierr = VecScatterBegin(pcbddc->coarse_loc_to_glob,pcbddc->vec1_P,pcbddc->coarse_vec,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1590     ierr = VecScatterEnd(pcbddc->coarse_loc_to_glob,pcbddc->vec1_P,pcbddc->coarse_vec,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1591     ierr = VecScatterBegin(pcbddc->coarse_loc_to_glob,pcbddc->coarse_vec,pcbddc->vec1_P,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1592     ierr = VecScatterEnd(pcbddc->coarse_loc_to_glob,pcbddc->coarse_vec,pcbddc->vec1_P,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1593     ierr = VecGetArray(pcbddc->vec1_P,&array);CHKERRQ(ierr);
1594     /* scale primal nodes (BDDC sums contibutions) */
1595     ierr = VecPointwiseMult(pcbddc->vec1_P,vec_scale_P,pcbddc->vec1_P);CHKERRQ(ierr);
1596     ierr = VecSetValues(pcis->vec1_N,pcbddc->local_primal_size,pcbddc->local_primal_ref_node,array,INSERT_VALUES);CHKERRQ(ierr);
1597     ierr = VecRestoreArray(pcbddc->vec1_P,&array);CHKERRQ(ierr);
1598     ierr = VecAssemblyBegin(pcis->vec1_N);CHKERRQ(ierr);
1599     ierr = VecAssemblyEnd(pcis->vec1_N);CHKERRQ(ierr);
1600     ierr = VecScatterBegin(pcis->N_to_B,pcis->vec1_N,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1601     ierr = VecScatterEnd(pcis->N_to_B,pcis->vec1_N,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1602     /* global: \widetilde{B0}_B w_\Gamma */
1603     if (zerodiag) {
1604       ierr = MatMult(B0_B,pcis->vec2_B,dummy_vec);CHKERRQ(ierr);
1605       ierr = VecGetArray(dummy_vec,&array);CHKERRQ(ierr);
1606       pcbddc->benign_p0 = array[0];
1607       ierr = VecRestoreArray(dummy_vec,&array);CHKERRQ(ierr);
1608     } else {
1609       pcbddc->benign_p0 = 0.;
1610     }
1611     /* BDDC */
1612     ierr = VecSet(pcis->vec1_D,0.);CHKERRQ(ierr);
1613     ierr = PCBDDCApplyInterfacePreconditioner(pc,PETSC_FALSE);CHKERRQ(ierr);
1614 
1615     ierr = VecCopy(pcis->vec1_B,pcis->vec2_B);CHKERRQ(ierr);
1616     ierr = VecAXPY(pcis->vec1_B,-1.0,vec_check_B);CHKERRQ(ierr);
1617     ierr = VecNorm(pcis->vec1_B,NORM_INFINITY,&norm);CHKERRQ(ierr);
1618     PetscPrintf(PETSC_COMM_SELF,"[%d] BDDC local error is %1.4e\n",PetscGlobalRank,norm);
1619     if (pcbddc->benign_p0_lidx >= 0) {
1620       PetscPrintf(PETSC_COMM_SELF,"[%d] BDDC p0 error is %1.4e\n",PetscGlobalRank,PetscAbsScalar(pcbddc->benign_p0-p0_check));
1621     }
1622 
1623     ierr = VecDestroy(&vec_scale_P);CHKERRQ(ierr);
1624     ierr = VecDestroy(&vec_check_B);CHKERRQ(ierr);
1625     ierr = VecDestroy(&dummy_vec);CHKERRQ(ierr);
1626     ierr = MatDestroy(&S_j);CHKERRQ(ierr);
1627     ierr = MatDestroy(&B0);CHKERRQ(ierr);
1628     ierr = MatDestroy(&B0_B);CHKERRQ(ierr);
1629   }
1630   ierr = ISDestroy(&zerodiag);CHKERRQ(ierr);
1631 
1632   if (pcbddc->dbg_flag) {
1633     ierr = PetscViewerASCIISubtractTab(pcbddc->dbg_viewer,2*pcbddc->current_level);CHKERRQ(ierr);
1634   }
1635   PetscFunctionReturn(0);
1636 }
1637 
1638 /* -------------------------------------------------------------------------- */
1639 /*
1640    PCApply_BDDC - Applies the BDDC operator to a vector.
1641 
1642    Input Parameters:
1643 +  pc - the preconditioner context
1644 -  r - input vector (global)
1645 
1646    Output Parameter:
1647 .  z - output vector (global)
1648 
1649    Application Interface Routine: PCApply()
1650  */
1651 #undef __FUNCT__
1652 #define __FUNCT__ "PCApply_BDDC"
1653 PetscErrorCode PCApply_BDDC(PC pc,Vec r,Vec z)
1654 {
1655   PC_IS             *pcis = (PC_IS*)(pc->data);
1656   PC_BDDC           *pcbddc = (PC_BDDC*)(pc->data);
1657   PetscInt          n_B = pcis->n_B, n_D = pcis->n - n_B;
1658   PetscErrorCode    ierr;
1659   const PetscScalar one = 1.0;
1660   const PetscScalar m_one = -1.0;
1661   const PetscScalar zero = 0.0;
1662 
1663 /* This code is similar to that provided in nn.c for PCNN
1664    NN interface preconditioner changed to BDDC
1665    Added support for M_3 preconditioner in the reference article (code is active if pcbddc->switch_static == PETSC_TRUE) */
1666 
1667   PetscFunctionBegin;
1668   if (pcbddc->benign_saddle_point) { /* get p0 from r */
1669     ierr = PCBDDCBenignGetOrSetP0(pc,r,PETSC_TRUE);CHKERRQ(ierr);
1670   }
1671   if (!pcbddc->use_exact_dirichlet_trick) {
1672     ierr = VecCopy(r,z);CHKERRQ(ierr);
1673     /* First Dirichlet solve */
1674     ierr = VecScatterBegin(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1675     ierr = VecScatterEnd(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1676     /*
1677       Assembling right hand side for BDDC operator
1678       - pcis->vec1_D for the Dirichlet part (if needed, i.e. pcbddc->switch_static == PETSC_TRUE)
1679       - pcis->vec1_B the interface part of the global vector z
1680     */
1681     if (n_D) {
1682       ierr = KSPSolve(pcbddc->ksp_D,pcis->vec1_D,pcis->vec2_D);CHKERRQ(ierr);
1683       ierr = VecScale(pcis->vec2_D,m_one);CHKERRQ(ierr);
1684       if (pcbddc->switch_static) { ierr = MatMultAdd(pcis->A_II,pcis->vec2_D,pcis->vec1_D,pcis->vec1_D);CHKERRQ(ierr); }
1685       ierr = MatMult(pcis->A_BI,pcis->vec2_D,pcis->vec1_B);CHKERRQ(ierr);
1686     } else {
1687       ierr = VecSet(pcis->vec1_B,zero);CHKERRQ(ierr);
1688     }
1689     ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1690     ierr = VecScatterEnd(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1691     ierr = PCBDDCScalingRestriction(pc,z,pcis->vec1_B);CHKERRQ(ierr);
1692   } else {
1693     if (pcbddc->switch_static) {
1694       ierr = VecSet(pcis->vec1_D,zero);CHKERRQ(ierr);
1695     }
1696     ierr = PCBDDCScalingRestriction(pc,r,pcis->vec1_B);CHKERRQ(ierr);
1697   }
1698 
1699   /* Apply interface preconditioner
1700      input/output vecs: pcis->vec1_B and pcis->vec1_D */
1701   ierr = PCBDDCApplyInterfacePreconditioner(pc,PETSC_FALSE);CHKERRQ(ierr);
1702 
1703   /* Apply transpose of partition of unity operator */
1704   ierr = PCBDDCScalingExtension(pc,pcis->vec1_B,z);CHKERRQ(ierr);
1705 
1706   /* Second Dirichlet solve and assembling of output */
1707   ierr = VecScatterBegin(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1708   ierr = VecScatterEnd(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1709   if (n_B) {
1710     ierr = MatMult(pcis->A_IB,pcis->vec1_B,pcis->vec3_D);CHKERRQ(ierr);
1711     if (pcbddc->switch_static) { ierr = MatMultAdd(pcis->A_II,pcis->vec1_D,pcis->vec3_D,pcis->vec3_D);CHKERRQ(ierr); }
1712   } else if (pcbddc->switch_static) {
1713     ierr = MatMult(pcis->A_II,pcis->vec1_D,pcis->vec3_D);CHKERRQ(ierr);
1714   }
1715   ierr = KSPSolve(pcbddc->ksp_D,pcis->vec3_D,pcis->vec4_D);CHKERRQ(ierr);
1716 
1717   if (!pcbddc->use_exact_dirichlet_trick) {
1718     if (pcbddc->switch_static) {
1719       ierr = VecAXPBYPCZ(pcis->vec2_D,m_one,one,m_one,pcis->vec4_D,pcis->vec1_D);CHKERRQ(ierr);
1720     } else {
1721       ierr = VecAXPBY(pcis->vec2_D,m_one,m_one,pcis->vec4_D);CHKERRQ(ierr);
1722     }
1723     ierr = VecScatterBegin(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1724     ierr = VecScatterEnd(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1725   } else {
1726     if (pcbddc->switch_static) {
1727       ierr = VecAXPBY(pcis->vec4_D,one,m_one,pcis->vec1_D);CHKERRQ(ierr);
1728     } else {
1729       ierr = VecScale(pcis->vec4_D,m_one);CHKERRQ(ierr);
1730     }
1731     ierr = VecScatterBegin(pcis->global_to_D,pcis->vec4_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1732     ierr = VecScatterEnd(pcis->global_to_D,pcis->vec4_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1733   }
1734 
1735   if (pcbddc->benign_saddle_point) { /* set p0 (computed in PCBDDCApplyInterface) */
1736     ierr = PCBDDCBenignGetOrSetP0(pc,z,PETSC_FALSE);CHKERRQ(ierr);
1737   }
1738   PetscFunctionReturn(0);
1739 }
1740 
1741 /* -------------------------------------------------------------------------- */
1742 /*
1743    PCApplyTranspose_BDDC - Applies the transpose of the BDDC operator to a vector.
1744 
1745    Input Parameters:
1746 +  pc - the preconditioner context
1747 -  r - input vector (global)
1748 
1749    Output Parameter:
1750 .  z - output vector (global)
1751 
1752    Application Interface Routine: PCApplyTranspose()
1753  */
1754 #undef __FUNCT__
1755 #define __FUNCT__ "PCApplyTranspose_BDDC"
1756 PetscErrorCode PCApplyTranspose_BDDC(PC pc,Vec r,Vec z)
1757 {
1758   PC_IS             *pcis = (PC_IS*)(pc->data);
1759   PC_BDDC           *pcbddc = (PC_BDDC*)(pc->data);
1760   PetscInt          n_B = pcis->n_B, n_D = pcis->n - n_B;
1761   PetscErrorCode    ierr;
1762   const PetscScalar one = 1.0;
1763   const PetscScalar m_one = -1.0;
1764   const PetscScalar zero = 0.0;
1765 
1766   PetscFunctionBegin;
1767   if (!pcbddc->use_exact_dirichlet_trick) {
1768     ierr = VecCopy(r,z);CHKERRQ(ierr);
1769     /* First Dirichlet solve */
1770     ierr = VecScatterBegin(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1771     ierr = VecScatterEnd(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1772     /*
1773       Assembling right hand side for BDDC operator
1774       - pcis->vec1_D for the Dirichlet part (if needed, i.e. pcbddc->switch_static == PETSC_TRUE)
1775       - pcis->vec1_B the interface part of the global vector z
1776     */
1777     if (n_D) {
1778       ierr = KSPSolveTranspose(pcbddc->ksp_D,pcis->vec1_D,pcis->vec2_D);CHKERRQ(ierr);
1779       ierr = VecScale(pcis->vec2_D,m_one);CHKERRQ(ierr);
1780       if (pcbddc->switch_static) { ierr = MatMultTransposeAdd(pcis->A_II,pcis->vec2_D,pcis->vec1_D,pcis->vec1_D);CHKERRQ(ierr); }
1781       ierr = MatMultTranspose(pcis->A_IB,pcis->vec2_D,pcis->vec1_B);CHKERRQ(ierr);
1782     } else {
1783       ierr = VecSet(pcis->vec1_B,zero);CHKERRQ(ierr);
1784     }
1785     ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1786     ierr = VecScatterEnd(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1787     ierr = PCBDDCScalingRestriction(pc,z,pcis->vec1_B);CHKERRQ(ierr);
1788   } else {
1789     if (pcbddc->switch_static) {
1790       ierr = VecSet(pcis->vec1_D,zero);CHKERRQ(ierr);
1791     }
1792     ierr = PCBDDCScalingRestriction(pc,r,pcis->vec1_B);CHKERRQ(ierr);
1793   }
1794 
1795   /* Apply interface preconditioner
1796      input/output vecs: pcis->vec1_B and pcis->vec1_D */
1797   ierr = PCBDDCApplyInterfacePreconditioner(pc,PETSC_TRUE);CHKERRQ(ierr);
1798 
1799   /* Apply transpose of partition of unity operator */
1800   ierr = PCBDDCScalingExtension(pc,pcis->vec1_B,z);CHKERRQ(ierr);
1801 
1802   /* Second Dirichlet solve and assembling of output */
1803   ierr = VecScatterBegin(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1804   ierr = VecScatterEnd(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1805   if (n_B) {
1806     ierr = MatMultTranspose(pcis->A_BI,pcis->vec1_B,pcis->vec3_D);CHKERRQ(ierr);
1807     if (pcbddc->switch_static) { ierr = MatMultTransposeAdd(pcis->A_II,pcis->vec1_D,pcis->vec3_D,pcis->vec3_D);CHKERRQ(ierr); }
1808   } else if (pcbddc->switch_static) {
1809     ierr = MatMultTranspose(pcis->A_II,pcis->vec1_D,pcis->vec3_D);CHKERRQ(ierr);
1810   }
1811   ierr = KSPSolveTranspose(pcbddc->ksp_D,pcis->vec3_D,pcis->vec4_D);CHKERRQ(ierr);
1812   if (!pcbddc->use_exact_dirichlet_trick) {
1813     if (pcbddc->switch_static) {
1814       ierr = VecAXPBYPCZ(pcis->vec2_D,m_one,one,m_one,pcis->vec4_D,pcis->vec1_D);CHKERRQ(ierr);
1815     } else {
1816       ierr = VecAXPBY(pcis->vec2_D,m_one,m_one,pcis->vec4_D);CHKERRQ(ierr);
1817     }
1818     ierr = VecScatterBegin(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1819     ierr = VecScatterEnd(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1820   } else {
1821     if (pcbddc->switch_static) {
1822       ierr = VecAXPBY(pcis->vec4_D,one,m_one,pcis->vec1_D);CHKERRQ(ierr);
1823     } else {
1824       ierr = VecScale(pcis->vec4_D,m_one);CHKERRQ(ierr);
1825     }
1826     ierr = VecScatterBegin(pcis->global_to_D,pcis->vec4_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1827     ierr = VecScatterEnd(pcis->global_to_D,pcis->vec4_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1828   }
1829   PetscFunctionReturn(0);
1830 }
1831 /* -------------------------------------------------------------------------- */
1832 
1833 #undef __FUNCT__
1834 #define __FUNCT__ "PCDestroy_BDDC"
1835 PetscErrorCode PCDestroy_BDDC(PC pc)
1836 {
1837   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
1838   PetscErrorCode ierr;
1839 
1840   PetscFunctionBegin;
1841   /* free data created by PCIS */
1842   ierr = PCISDestroy(pc);CHKERRQ(ierr);
1843   /* free BDDC custom data  */
1844   ierr = PCBDDCResetCustomization(pc);CHKERRQ(ierr);
1845   /* destroy objects related to topography */
1846   ierr = PCBDDCResetTopography(pc);CHKERRQ(ierr);
1847   /* free allocated graph structure */
1848   ierr = PetscFree(pcbddc->mat_graph);CHKERRQ(ierr);
1849   /* free allocated sub schurs structure */
1850   ierr = PetscFree(pcbddc->sub_schurs);CHKERRQ(ierr);
1851   /* destroy objects for scaling operator */
1852   ierr = PCBDDCScalingDestroy(pc);CHKERRQ(ierr);
1853   ierr = PetscFree(pcbddc->deluxe_ctx);CHKERRQ(ierr);
1854   /* free solvers stuff */
1855   ierr = PCBDDCResetSolvers(pc);CHKERRQ(ierr);
1856   /* free global vectors needed in presolve */
1857   ierr = VecDestroy(&pcbddc->temp_solution);CHKERRQ(ierr);
1858   ierr = VecDestroy(&pcbddc->original_rhs);CHKERRQ(ierr);
1859   /* free stuff for change of basis hooks */
1860   if (pcbddc->new_global_mat) {
1861     PCBDDCChange_ctx change_ctx;
1862     ierr = MatShellGetContext(pcbddc->new_global_mat,&change_ctx);CHKERRQ(ierr);
1863     ierr = MatDestroy(&change_ctx->original_mat);CHKERRQ(ierr);
1864     ierr = MatDestroy(&change_ctx->global_change);CHKERRQ(ierr);
1865     ierr = VecDestroyVecs(2,&change_ctx->work);CHKERRQ(ierr);
1866     ierr = PetscFree(change_ctx);CHKERRQ(ierr);
1867   }
1868   ierr = MatDestroy(&pcbddc->new_global_mat);CHKERRQ(ierr);
1869   /* remove functions */
1870   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetChangeOfBasisMat_C",NULL);CHKERRQ(ierr);
1871   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetPrimalVerticesLocalIS_C",NULL);CHKERRQ(ierr);
1872   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetCoarseningRatio_C",NULL);CHKERRQ(ierr);
1873   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevel_C",NULL);CHKERRQ(ierr);
1874   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetUseExactDirichlet_C",NULL);CHKERRQ(ierr);
1875   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevels_C",NULL);CHKERRQ(ierr);
1876   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNullSpace_C",NULL);CHKERRQ(ierr);
1877   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundaries_C",NULL);CHKERRQ(ierr);
1878   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundariesLocal_C",NULL);CHKERRQ(ierr);
1879   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundaries_C",NULL);CHKERRQ(ierr);
1880   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundariesLocal_C",NULL);CHKERRQ(ierr);
1881   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundaries_C",NULL);CHKERRQ(ierr);
1882   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundariesLocal_C",NULL);CHKERRQ(ierr);
1883   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundaries_C",NULL);CHKERRQ(ierr);
1884   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundariesLocal_C",NULL);CHKERRQ(ierr);
1885   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplitting_C",NULL);CHKERRQ(ierr);
1886   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplittingLocal_C",NULL);CHKERRQ(ierr);
1887   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLocalAdjacencyGraph_C",NULL);CHKERRQ(ierr);
1888   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCCreateFETIDPOperators_C",NULL);CHKERRQ(ierr);
1889   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetRHS_C",NULL);CHKERRQ(ierr);
1890   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetSolution_C",NULL);CHKERRQ(ierr);
1891   /* Free the private data structure */
1892   ierr = PetscFree(pc->data);CHKERRQ(ierr);
1893   PetscFunctionReturn(0);
1894 }
1895 /* -------------------------------------------------------------------------- */
1896 
1897 #undef __FUNCT__
1898 #define __FUNCT__ "PCBDDCMatFETIDPGetRHS_BDDC"
1899 static PetscErrorCode PCBDDCMatFETIDPGetRHS_BDDC(Mat fetidp_mat, Vec standard_rhs, Vec fetidp_flux_rhs)
1900 {
1901   FETIDPMat_ctx  mat_ctx;
1902   Vec            copy_standard_rhs;
1903   PC_IS*         pcis;
1904   PC_BDDC*       pcbddc;
1905   PetscErrorCode ierr;
1906 
1907   PetscFunctionBegin;
1908   ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr);
1909   pcis = (PC_IS*)mat_ctx->pc->data;
1910   pcbddc = (PC_BDDC*)mat_ctx->pc->data;
1911 
1912   /*
1913      change of basis for physical rhs if needed
1914      It also changes the rhs in case of dirichlet boundaries
1915      TODO: better management when FETIDP will have its own class
1916   */
1917   ierr = VecDuplicate(standard_rhs,&copy_standard_rhs);CHKERRQ(ierr);
1918   ierr = VecCopy(standard_rhs,copy_standard_rhs);CHKERRQ(ierr);
1919   ierr = PCPreSolve_BDDC(mat_ctx->pc,NULL,copy_standard_rhs,NULL);CHKERRQ(ierr);
1920   /* store vectors for computation of fetidp final solution */
1921   ierr = VecScatterBegin(pcis->global_to_D,copy_standard_rhs,mat_ctx->temp_solution_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1922   ierr = VecScatterEnd(pcis->global_to_D,copy_standard_rhs,mat_ctx->temp_solution_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1923   /* scale rhs since it should be unassembled */
1924   /* TODO use counter scaling? (also below) */
1925   ierr = VecScatterBegin(pcis->global_to_B,copy_standard_rhs,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1926   ierr = VecScatterEnd(pcis->global_to_B,copy_standard_rhs,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1927   /* Apply partition of unity */
1928   ierr = VecPointwiseMult(mat_ctx->temp_solution_B,pcis->D,mat_ctx->temp_solution_B);CHKERRQ(ierr);
1929   /* ierr = PCBDDCScalingRestriction(mat_ctx->pc,copy_standard_rhs,mat_ctx->temp_solution_B);CHKERRQ(ierr); */
1930   if (!pcbddc->switch_static) {
1931     /* compute partially subassembled Schur complement right-hand side */
1932     ierr = KSPSolve(pcbddc->ksp_D,mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr);
1933     ierr = MatMult(pcis->A_BI,pcis->vec1_D,pcis->vec1_B);CHKERRQ(ierr);
1934     ierr = VecAXPY(mat_ctx->temp_solution_B,-1.0,pcis->vec1_B);CHKERRQ(ierr);
1935     ierr = VecSet(copy_standard_rhs,0.0);CHKERRQ(ierr);
1936     ierr = VecScatterBegin(pcis->global_to_B,mat_ctx->temp_solution_B,copy_standard_rhs,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1937     ierr = VecScatterEnd(pcis->global_to_B,mat_ctx->temp_solution_B,copy_standard_rhs,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1938     /* ierr = PCBDDCScalingRestriction(mat_ctx->pc,copy_standard_rhs,mat_ctx->temp_solution_B);CHKERRQ(ierr); */
1939     ierr = VecScatterBegin(pcis->global_to_B,copy_standard_rhs,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1940     ierr = VecScatterEnd(pcis->global_to_B,copy_standard_rhs,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1941     ierr = VecPointwiseMult(mat_ctx->temp_solution_B,pcis->D,mat_ctx->temp_solution_B);CHKERRQ(ierr);
1942   }
1943   ierr = VecDestroy(&copy_standard_rhs);CHKERRQ(ierr);
1944   /* BDDC rhs */
1945   ierr = VecCopy(mat_ctx->temp_solution_B,pcis->vec1_B);CHKERRQ(ierr);
1946   if (pcbddc->switch_static) {
1947     ierr = VecCopy(mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr);
1948   }
1949   /* apply BDDC */
1950   ierr = PCBDDCApplyInterfacePreconditioner(mat_ctx->pc,PETSC_FALSE);CHKERRQ(ierr);
1951   /* Application of B_delta and assembling of rhs for fetidp fluxes */
1952   ierr = VecSet(fetidp_flux_rhs,0.0);CHKERRQ(ierr);
1953   ierr = MatMult(mat_ctx->B_delta,pcis->vec1_B,mat_ctx->lambda_local);CHKERRQ(ierr);
1954   ierr = VecScatterBegin(mat_ctx->l2g_lambda,mat_ctx->lambda_local,fetidp_flux_rhs,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1955   ierr = VecScatterEnd(mat_ctx->l2g_lambda,mat_ctx->lambda_local,fetidp_flux_rhs,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1956   PetscFunctionReturn(0);
1957 }
1958 
1959 #undef __FUNCT__
1960 #define __FUNCT__ "PCBDDCMatFETIDPGetRHS"
1961 /*@
1962  PCBDDCMatFETIDPGetRHS - Compute the right-hand side for FETI-DP linear system using the physical right-hand side
1963 
1964    Collective
1965 
1966    Input Parameters:
1967 +  fetidp_mat      - the FETI-DP matrix object obtained by a call to PCBDDCCreateFETIDPOperators
1968 -  standard_rhs    - the right-hand side of the original linear system
1969 
1970    Output Parameters:
1971 .  fetidp_flux_rhs - the right-hand side for the FETI-DP linear system
1972 
1973    Level: developer
1974 
1975    Notes:
1976 
1977 .seealso: PCBDDC, PCBDDCCreateFETIDPOperators, PCBDDCMatFETIDPGetSolution
1978 @*/
1979 PetscErrorCode PCBDDCMatFETIDPGetRHS(Mat fetidp_mat, Vec standard_rhs, Vec fetidp_flux_rhs)
1980 {
1981   FETIDPMat_ctx  mat_ctx;
1982   PetscErrorCode ierr;
1983 
1984   PetscFunctionBegin;
1985   ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr);
1986   ierr = PetscTryMethod(mat_ctx->pc,"PCBDDCMatFETIDPGetRHS_C",(Mat,Vec,Vec),(fetidp_mat,standard_rhs,fetidp_flux_rhs));CHKERRQ(ierr);
1987   PetscFunctionReturn(0);
1988 }
1989 /* -------------------------------------------------------------------------- */
1990 
1991 #undef __FUNCT__
1992 #define __FUNCT__ "PCBDDCMatFETIDPGetSolution_BDDC"
1993 static PetscErrorCode PCBDDCMatFETIDPGetSolution_BDDC(Mat fetidp_mat, Vec fetidp_flux_sol, Vec standard_sol)
1994 {
1995   FETIDPMat_ctx  mat_ctx;
1996   PC_IS*         pcis;
1997   PC_BDDC*       pcbddc;
1998   PetscErrorCode ierr;
1999 
2000   PetscFunctionBegin;
2001   ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr);
2002   pcis = (PC_IS*)mat_ctx->pc->data;
2003   pcbddc = (PC_BDDC*)mat_ctx->pc->data;
2004 
2005   /* apply B_delta^T */
2006   ierr = VecScatterBegin(mat_ctx->l2g_lambda,fetidp_flux_sol,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2007   ierr = VecScatterEnd  (mat_ctx->l2g_lambda,fetidp_flux_sol,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2008   ierr = MatMultTranspose(mat_ctx->B_delta,mat_ctx->lambda_local,pcis->vec1_B);CHKERRQ(ierr);
2009   /* compute rhs for BDDC application */
2010   ierr = VecAYPX(pcis->vec1_B,-1.0,mat_ctx->temp_solution_B);CHKERRQ(ierr);
2011   if (pcbddc->switch_static) {
2012     ierr = VecCopy(mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr);
2013   }
2014   /* apply BDDC */
2015   ierr = PCBDDCApplyInterfacePreconditioner(mat_ctx->pc,PETSC_FALSE);CHKERRQ(ierr);
2016   /* put values into standard global vector */
2017   ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_B,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2018   ierr = VecScatterEnd  (pcis->global_to_B,pcis->vec1_B,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2019   if (!pcbddc->switch_static) {
2020     /* compute values into the interior if solved for the partially subassembled Schur complement */
2021     ierr = MatMult(pcis->A_IB,pcis->vec1_B,pcis->vec1_D);CHKERRQ(ierr);
2022     ierr = VecAXPY(mat_ctx->temp_solution_D,-1.0,pcis->vec1_D);CHKERRQ(ierr);
2023     ierr = KSPSolve(pcbddc->ksp_D,mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr);
2024   }
2025   ierr = VecScatterBegin(pcis->global_to_D,pcis->vec1_D,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2026   ierr = VecScatterEnd  (pcis->global_to_D,pcis->vec1_D,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2027   /* final change of basis if needed
2028      Is also sums the dirichlet part removed during RHS assembling */
2029   ierr = PCPostSolve_BDDC(mat_ctx->pc,NULL,NULL,standard_sol);CHKERRQ(ierr);
2030   PetscFunctionReturn(0);
2031 }
2032 
2033 #undef __FUNCT__
2034 #define __FUNCT__ "PCBDDCMatFETIDPGetSolution"
2035 /*@
2036  PCBDDCMatFETIDPGetSolution - Compute the physical solution using the solution of the FETI-DP linear system
2037 
2038    Collective
2039 
2040    Input Parameters:
2041 +  fetidp_mat      - the FETI-DP matrix obtained by a call to PCBDDCCreateFETIDPOperators
2042 -  fetidp_flux_sol - the solution of the FETI-DP linear system
2043 
2044    Output Parameters:
2045 .  standard_sol    - the solution defined on the physical domain
2046 
2047    Level: developer
2048 
2049    Notes:
2050 
2051 .seealso: PCBDDC, PCBDDCCreateFETIDPOperators, PCBDDCMatFETIDPGetRHS
2052 @*/
2053 PetscErrorCode PCBDDCMatFETIDPGetSolution(Mat fetidp_mat, Vec fetidp_flux_sol, Vec standard_sol)
2054 {
2055   FETIDPMat_ctx  mat_ctx;
2056   PetscErrorCode ierr;
2057 
2058   PetscFunctionBegin;
2059   ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr);
2060   ierr = PetscTryMethod(mat_ctx->pc,"PCBDDCMatFETIDPGetSolution_C",(Mat,Vec,Vec),(fetidp_mat,fetidp_flux_sol,standard_sol));CHKERRQ(ierr);
2061   PetscFunctionReturn(0);
2062 }
2063 /* -------------------------------------------------------------------------- */
2064 
2065 extern PetscErrorCode FETIDPMatMult(Mat,Vec,Vec);
2066 extern PetscErrorCode FETIDPMatMultTranspose(Mat,Vec,Vec);
2067 extern PetscErrorCode PCBDDCDestroyFETIDPMat(Mat);
2068 extern PetscErrorCode FETIDPPCApply(PC,Vec,Vec);
2069 extern PetscErrorCode FETIDPPCApplyTranspose(PC,Vec,Vec);
2070 extern PetscErrorCode PCBDDCDestroyFETIDPPC(PC);
2071 
2072 #undef __FUNCT__
2073 #define __FUNCT__ "PCBDDCCreateFETIDPOperators_BDDC"
2074 static PetscErrorCode PCBDDCCreateFETIDPOperators_BDDC(PC pc, Mat *fetidp_mat, PC *fetidp_pc)
2075 {
2076 
2077   FETIDPMat_ctx  fetidpmat_ctx;
2078   Mat            newmat;
2079   FETIDPPC_ctx   fetidppc_ctx;
2080   PC             newpc;
2081   MPI_Comm       comm;
2082   PetscErrorCode ierr;
2083 
2084   PetscFunctionBegin;
2085   ierr = PetscObjectGetComm((PetscObject)pc,&comm);CHKERRQ(ierr);
2086   /* FETIDP linear matrix */
2087   ierr = PCBDDCCreateFETIDPMatContext(pc,&fetidpmat_ctx);CHKERRQ(ierr);
2088   ierr = PCBDDCSetupFETIDPMatContext(fetidpmat_ctx);CHKERRQ(ierr);
2089   ierr = MatCreateShell(comm,PETSC_DECIDE,PETSC_DECIDE,fetidpmat_ctx->n_lambda,fetidpmat_ctx->n_lambda,fetidpmat_ctx,&newmat);CHKERRQ(ierr);
2090   ierr = MatShellSetOperation(newmat,MATOP_MULT,(void (*)(void))FETIDPMatMult);CHKERRQ(ierr);
2091   ierr = MatShellSetOperation(newmat,MATOP_MULT_TRANSPOSE,(void (*)(void))FETIDPMatMultTranspose);CHKERRQ(ierr);
2092   ierr = MatShellSetOperation(newmat,MATOP_DESTROY,(void (*)(void))PCBDDCDestroyFETIDPMat);CHKERRQ(ierr);
2093   ierr = MatSetUp(newmat);CHKERRQ(ierr);
2094   /* FETIDP preconditioner */
2095   ierr = PCBDDCCreateFETIDPPCContext(pc,&fetidppc_ctx);CHKERRQ(ierr);
2096   ierr = PCBDDCSetupFETIDPPCContext(newmat,fetidppc_ctx);CHKERRQ(ierr);
2097   ierr = PCCreate(comm,&newpc);CHKERRQ(ierr);
2098   ierr = PCSetType(newpc,PCSHELL);CHKERRQ(ierr);
2099   ierr = PCShellSetContext(newpc,fetidppc_ctx);CHKERRQ(ierr);
2100   ierr = PCShellSetApply(newpc,FETIDPPCApply);CHKERRQ(ierr);
2101   ierr = PCShellSetApplyTranspose(newpc,FETIDPPCApplyTranspose);CHKERRQ(ierr);
2102   ierr = PCShellSetDestroy(newpc,PCBDDCDestroyFETIDPPC);CHKERRQ(ierr);
2103   ierr = PCSetOperators(newpc,newmat,newmat);CHKERRQ(ierr);
2104   ierr = PCSetUp(newpc);CHKERRQ(ierr);
2105   /* return pointers for objects created */
2106   *fetidp_mat=newmat;
2107   *fetidp_pc=newpc;
2108   PetscFunctionReturn(0);
2109 }
2110 
2111 #undef __FUNCT__
2112 #define __FUNCT__ "PCBDDCCreateFETIDPOperators"
2113 /*@
2114  PCBDDCCreateFETIDPOperators - Create FETI-DP operators
2115 
2116    Collective
2117 
2118    Input Parameters:
2119 .  pc - the BDDC preconditioning context (setup should have been called before)
2120 
2121    Output Parameters:
2122 +  fetidp_mat - shell FETI-DP matrix object
2123 -  fetidp_pc  - shell Dirichlet preconditioner for FETI-DP matrix
2124 
2125    Options Database Keys:
2126 .    -fetidp_fullyredundant <false> - use or not a fully redundant set of Lagrange multipliers
2127 
2128    Level: developer
2129 
2130    Notes:
2131      Currently the only operations provided for FETI-DP matrix are MatMult and MatMultTranspose
2132 
2133 .seealso: PCBDDC, PCBDDCMatFETIDPGetRHS, PCBDDCMatFETIDPGetSolution
2134 @*/
2135 PetscErrorCode PCBDDCCreateFETIDPOperators(PC pc, Mat *fetidp_mat, PC *fetidp_pc)
2136 {
2137   PetscErrorCode ierr;
2138 
2139   PetscFunctionBegin;
2140   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
2141   if (pc->setupcalled) {
2142     ierr = PetscUseMethod(pc,"PCBDDCCreateFETIDPOperators_C",(PC,Mat*,PC*),(pc,fetidp_mat,fetidp_pc));CHKERRQ(ierr);
2143   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"You must call PCSetup_BDDC() first \n");
2144   PetscFunctionReturn(0);
2145 }
2146 /* -------------------------------------------------------------------------- */
2147 /*MC
2148    PCBDDC - Balancing Domain Decomposition by Constraints.
2149 
2150    An implementation of the BDDC preconditioner based on
2151 
2152 .vb
2153    [1] C. R. Dohrmann. "An approximate BDDC preconditioner", Numerical Linear Algebra with Applications Volume 14, Issue 2, pages 149-168, March 2007
2154    [2] A. Klawonn and O. B. Widlund. "Dual-Primal FETI Methods for Linear Elasticity", http://cs.nyu.edu/csweb/Research/TechReports/TR2004-855/TR2004-855.pdf
2155    [3] J. Mandel, B. Sousedik, C. R. Dohrmann. "Multispace and Multilevel BDDC", http://arxiv.org/abs/0712.3977
2156    [4] C. Pechstein and C. R. Dohrmann. "Modern domain decomposition methods BDDC, deluxe scaling, and an algebraic approach", Seminar talk, Linz, December 2013, http://people.ricam.oeaw.ac.at/c.pechstein/pechstein-bddc2013.pdf
2157 .ve
2158 
2159    The matrix to be preconditioned (Pmat) must be of type MATIS.
2160 
2161    Currently works with MATIS matrices with local matrices of type MATSEQAIJ, MATSEQBAIJ or MATSEQSBAIJ, either with real or complex numbers.
2162 
2163    It also works with unsymmetric and indefinite problems.
2164 
2165    Unlike 'conventional' interface preconditioners, PCBDDC iterates over all degrees of freedom, not just those on the interface. This allows the use of approximate solvers on the subdomains.
2166 
2167    Approximate local solvers are automatically adapted for singular linear problems (see [1]) if the user has provided the nullspace using PCBDDCSetNullSpace()
2168 
2169    Boundary nodes are split in vertices, edges and faces classes using information from the local to global mapping of dofs and the local connectivity graph of nodes. The latter can be customized by using PCBDDCSetLocalAdjacencyGraph()
2170    Additional information on dofs can be provided by using PCBDDCSetDofsSplitting(), PCBDDCSetDirichletBoundaries(), PCBDDCSetNeumannBoundaries(), and PCBDDCSetPrimalVerticesLocalIS()
2171 
2172    Constraints can be customized by attaching a MatNullSpace object to the MATIS matrix via MatSetNearNullSpace(). Non-singular modes are retained via SVD.
2173 
2174    Change of basis is performed similarly to [2] when requested. When more than one constraint is present on a single connected component (i.e. an edge or a face), a robust method based on local QR factorizations is used.
2175    User defined change of basis can be passed to PCBDDC by using PCBDDCSetChangeOfBasisMat()
2176 
2177    The PETSc implementation also supports multilevel BDDC [3]. Coarse grids are partitioned using a MatPartitioning object.
2178 
2179    Adaptive selection of primal constraints [4] is supported for SPD systems with high-contrast in the coefficients if MUMPS is present. Future versions of the code will also consider using MKL_PARDISO or PASTIX.
2180 
2181    An experimental interface to the FETI-DP method is available. FETI-DP operators could be created using PCBDDCCreateFETIDPOperators(). A stand-alone class for the FETI-DP method will be provided in the next releases.
2182    Deluxe scaling is not supported yet for FETI-DP.
2183 
2184    Options Database Keys (some of them, run with -h for a complete list):
2185 
2186 .    -pc_bddc_use_vertices <true> - use or not vertices in primal space
2187 .    -pc_bddc_use_edges <true> - use or not edges in primal space
2188 .    -pc_bddc_use_faces <false> - use or not faces in primal space
2189 .    -pc_bddc_symmetric <true> - symmetric computation of primal basis functions. Specify false for unsymmetric problems
2190 .    -pc_bddc_use_change_of_basis <false> - use change of basis approach (on edges only)
2191 .    -pc_bddc_use_change_on_faces <false> - use change of basis approach on faces if change of basis has been requested
2192 .    -pc_bddc_switch_static <false> - switches from M_2 (default) to M_3 operator (see reference article [1])
2193 .    -pc_bddc_levels <0> - maximum number of levels for multilevel
2194 .    -pc_bddc_coarsening_ratio <8> - number of subdomains which will be aggregated together at the coarser level (e.g. H/h ratio at the coarser level, significative only in the multilevel case)
2195 .    -pc_bddc_redistribute <0> - size of a subset of processors where the coarse problem will be remapped (the value is ignored if not at the coarsest level)
2196 .    -pc_bddc_use_deluxe_scaling <false> - use deluxe scaling
2197 .    -pc_bddc_schur_layers <-1> - select the economic version of deluxe scaling by specifying the number of layers (-1 corresponds to the original deluxe scaling)
2198 .    -pc_bddc_adaptive_threshold <0.0> - when a value greater than one is specified, adaptive selection of constraints is performed on edges and faces (requires deluxe scaling and MUMPS installed)
2199 -    -pc_bddc_check_level <0> - set verbosity level of debugging output
2200 
2201    Options for Dirichlet, Neumann or coarse solver can be set with
2202 .vb
2203       -pc_bddc_dirichlet_
2204       -pc_bddc_neumann_
2205       -pc_bddc_coarse_
2206 .ve
2207    e.g -pc_bddc_dirichlet_ksp_type richardson -pc_bddc_dirichlet_pc_type gamg. PCBDDC uses by default KPSPREONLY and PCLU.
2208 
2209    When using a multilevel approach, solvers' options at the N-th level (N > 1) can be specified as
2210 .vb
2211       -pc_bddc_dirichlet_lN_
2212       -pc_bddc_neumann_lN_
2213       -pc_bddc_coarse_lN_
2214 .ve
2215    Note that level number ranges from the finest (0) to the coarsest (N).
2216    In order to specify options for the BDDC operators at the coarser levels (and not for the solvers), prepend -pc_bddc_coarse_ or -pc_bddc_coarse_l to the option, e.g.
2217 .vb
2218      -pc_bddc_coarse_pc_bddc_adaptive_threshold 5 -pc_bddc_coarse_l1_pc_bddc_redistribute 3
2219 .ve
2220    will use a threshold of 5 for constraints' selection at the first coarse level and will redistribute the coarse problem of the first coarse level on 3 processors
2221 
2222    Level: intermediate
2223 
2224    Developer notes:
2225 
2226    Contributed by Stefano Zampini
2227 
2228 .seealso:  PCCreate(), PCSetType(), PCType (for list of available types), PC,  MATIS
2229 M*/
2230 
2231 #undef __FUNCT__
2232 #define __FUNCT__ "PCCreate_BDDC"
2233 PETSC_EXTERN PetscErrorCode PCCreate_BDDC(PC pc)
2234 {
2235   PetscErrorCode      ierr;
2236   PC_BDDC             *pcbddc;
2237 
2238   PetscFunctionBegin;
2239   /* Creates the private data structure for this preconditioner and attach it to the PC object. */
2240   ierr      = PetscNewLog(pc,&pcbddc);CHKERRQ(ierr);
2241   pc->data  = (void*)pcbddc;
2242 
2243   /* create PCIS data structure */
2244   ierr = PCISCreate(pc);CHKERRQ(ierr);
2245 
2246   /* BDDC customization */
2247   pcbddc->use_local_adj       = PETSC_TRUE;
2248   pcbddc->use_vertices        = PETSC_TRUE;
2249   pcbddc->use_edges           = PETSC_TRUE;
2250   pcbddc->use_faces           = PETSC_FALSE;
2251   pcbddc->use_change_of_basis = PETSC_FALSE;
2252   pcbddc->use_change_on_faces = PETSC_FALSE;
2253   pcbddc->switch_static       = PETSC_FALSE;
2254   pcbddc->use_nnsp_true       = PETSC_FALSE;
2255   pcbddc->use_qr_single       = PETSC_FALSE;
2256   pcbddc->symmetric_primal    = PETSC_TRUE;
2257   pcbddc->benign_saddle_point = PETSC_FALSE;
2258   pcbddc->dbg_flag            = 0;
2259   /* private */
2260   pcbddc->local_primal_size          = 0;
2261   pcbddc->local_primal_size_cc       = 0;
2262   pcbddc->local_primal_ref_node      = 0;
2263   pcbddc->local_primal_ref_mult      = 0;
2264   pcbddc->n_vertices                 = 0;
2265   pcbddc->primal_indices_local_idxs  = 0;
2266   pcbddc->recompute_topography       = PETSC_FALSE;
2267   pcbddc->coarse_size                = -1;
2268   pcbddc->new_primal_space           = PETSC_FALSE;
2269   pcbddc->new_primal_space_local     = PETSC_FALSE;
2270   pcbddc->global_primal_indices      = 0;
2271   pcbddc->onearnullspace             = 0;
2272   pcbddc->onearnullvecs_state        = 0;
2273   pcbddc->user_primal_vertices       = 0;
2274   pcbddc->NullSpace                  = 0;
2275   pcbddc->temp_solution              = 0;
2276   pcbddc->original_rhs               = 0;
2277   pcbddc->local_mat                  = 0;
2278   pcbddc->ChangeOfBasisMatrix        = 0;
2279   pcbddc->user_ChangeOfBasisMatrix   = 0;
2280   pcbddc->new_global_mat             = 0;
2281   pcbddc->coarse_vec                 = 0;
2282   pcbddc->coarse_ksp                 = 0;
2283   pcbddc->coarse_phi_B               = 0;
2284   pcbddc->coarse_phi_D               = 0;
2285   pcbddc->coarse_psi_B               = 0;
2286   pcbddc->coarse_psi_D               = 0;
2287   pcbddc->vec1_P                     = 0;
2288   pcbddc->vec1_R                     = 0;
2289   pcbddc->vec2_R                     = 0;
2290   pcbddc->local_auxmat1              = 0;
2291   pcbddc->local_auxmat2              = 0;
2292   pcbddc->R_to_B                     = 0;
2293   pcbddc->R_to_D                     = 0;
2294   pcbddc->ksp_D                      = 0;
2295   pcbddc->ksp_R                      = 0;
2296   pcbddc->NeumannBoundaries          = 0;
2297   pcbddc->NeumannBoundariesLocal     = 0;
2298   pcbddc->DirichletBoundaries        = 0;
2299   pcbddc->DirichletBoundariesLocal   = 0;
2300   pcbddc->user_provided_isfordofs    = PETSC_FALSE;
2301   pcbddc->n_ISForDofs                = 0;
2302   pcbddc->n_ISForDofsLocal           = 0;
2303   pcbddc->ISForDofs                  = 0;
2304   pcbddc->ISForDofsLocal             = 0;
2305   pcbddc->ConstraintMatrix           = 0;
2306   pcbddc->use_exact_dirichlet_trick  = PETSC_TRUE;
2307   pcbddc->coarse_loc_to_glob         = 0;
2308   pcbddc->coarsening_ratio           = 8;
2309   pcbddc->coarse_adj_red             = 0;
2310   pcbddc->current_level              = 0;
2311   pcbddc->max_levels                 = 0;
2312   pcbddc->use_coarse_estimates       = PETSC_FALSE;
2313   pcbddc->redistribute_coarse        = 0;
2314   pcbddc->coarse_subassembling       = 0;
2315   pcbddc->coarse_subassembling_init  = 0;
2316 
2317   /* benign subspace trick */
2318   pcbddc->B0_ncol                    = 0;
2319   pcbddc->B0_cols                    = NULL;
2320   pcbddc->B0_vals                    = NULL;
2321   pcbddc->benign_change              = 0;
2322   pcbddc->benign_vec                 = 0;
2323   pcbddc->benign_original_mat        = 0;
2324   pcbddc->benign_sf                  = 0;
2325   pcbddc->benign_p0_lidx             = -1;
2326   pcbddc->benign_p0_gidx             = -1;
2327 
2328   /* create local graph structure */
2329   ierr = PCBDDCGraphCreate(&pcbddc->mat_graph);CHKERRQ(ierr);
2330 
2331   /* scaling */
2332   pcbddc->work_scaling          = 0;
2333   pcbddc->use_deluxe_scaling    = PETSC_FALSE;
2334   pcbddc->faster_deluxe         = PETSC_FALSE;
2335 
2336   /* create sub schurs structure */
2337   ierr = PCBDDCSubSchursCreate(&pcbddc->sub_schurs);CHKERRQ(ierr);
2338   pcbddc->sub_schurs_rebuild     = PETSC_FALSE;
2339   pcbddc->sub_schurs_layers      = -1;
2340   pcbddc->sub_schurs_use_useradj = PETSC_FALSE;
2341 
2342   pcbddc->computed_rowadj = PETSC_FALSE;
2343 
2344   /* adaptivity */
2345   pcbddc->adaptive_threshold      = 0.0;
2346   pcbddc->adaptive_nmax           = 0;
2347   pcbddc->adaptive_nmin           = 0;
2348 
2349   /* function pointers */
2350   pc->ops->apply               = PCApply_BDDC;
2351   pc->ops->applytranspose      = PCApplyTranspose_BDDC;
2352   pc->ops->setup               = PCSetUp_BDDC;
2353   pc->ops->destroy             = PCDestroy_BDDC;
2354   pc->ops->setfromoptions      = PCSetFromOptions_BDDC;
2355   pc->ops->view                = 0;
2356   pc->ops->applyrichardson     = 0;
2357   pc->ops->applysymmetricleft  = 0;
2358   pc->ops->applysymmetricright = 0;
2359   pc->ops->presolve            = PCPreSolve_BDDC;
2360   pc->ops->postsolve           = PCPostSolve_BDDC;
2361 
2362   /* composing function */
2363   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetChangeOfBasisMat_C",PCBDDCSetChangeOfBasisMat_BDDC);CHKERRQ(ierr);
2364   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetPrimalVerticesLocalIS_C",PCBDDCSetPrimalVerticesLocalIS_BDDC);CHKERRQ(ierr);
2365   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetCoarseningRatio_C",PCBDDCSetCoarseningRatio_BDDC);CHKERRQ(ierr);
2366   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevel_C",PCBDDCSetLevel_BDDC);CHKERRQ(ierr);
2367   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetUseExactDirichlet_C",PCBDDCSetUseExactDirichlet_BDDC);CHKERRQ(ierr);
2368   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevels_C",PCBDDCSetLevels_BDDC);CHKERRQ(ierr);
2369   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNullSpace_C",PCBDDCSetNullSpace_BDDC);CHKERRQ(ierr);
2370   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundaries_C",PCBDDCSetDirichletBoundaries_BDDC);CHKERRQ(ierr);
2371   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundariesLocal_C",PCBDDCSetDirichletBoundariesLocal_BDDC);CHKERRQ(ierr);
2372   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundaries_C",PCBDDCSetNeumannBoundaries_BDDC);CHKERRQ(ierr);
2373   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundariesLocal_C",PCBDDCSetNeumannBoundariesLocal_BDDC);CHKERRQ(ierr);
2374   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundaries_C",PCBDDCGetDirichletBoundaries_BDDC);CHKERRQ(ierr);
2375   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundariesLocal_C",PCBDDCGetDirichletBoundariesLocal_BDDC);CHKERRQ(ierr);
2376   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundaries_C",PCBDDCGetNeumannBoundaries_BDDC);CHKERRQ(ierr);
2377   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundariesLocal_C",PCBDDCGetNeumannBoundariesLocal_BDDC);CHKERRQ(ierr);
2378   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplitting_C",PCBDDCSetDofsSplitting_BDDC);CHKERRQ(ierr);
2379   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplittingLocal_C",PCBDDCSetDofsSplittingLocal_BDDC);CHKERRQ(ierr);
2380   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLocalAdjacencyGraph_C",PCBDDCSetLocalAdjacencyGraph_BDDC);CHKERRQ(ierr);
2381   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCCreateFETIDPOperators_C",PCBDDCCreateFETIDPOperators_BDDC);CHKERRQ(ierr);
2382   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetRHS_C",PCBDDCMatFETIDPGetRHS_BDDC);CHKERRQ(ierr);
2383   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetSolution_C",PCBDDCMatFETIDPGetSolution_BDDC);CHKERRQ(ierr);
2384   PetscFunctionReturn(0);
2385 }
2386 
2387