xref: /petsc/src/ksp/pc/impls/bddc/bddc.c (revision d5574798c8464fdb92aede3bf97f4457bb71bbdc)
1 /* TODOLIST
2 
3    ConstraintsSetup
4    - tolerances for constraints as an option (take care of single precision!)
5 
6    Solvers
7    - Add support for cholesky for coarse solver (similar to local solvers)
8    - Propagate ksp prefixes for solvers to mat objects?
9    - Propagate nearnullspace info among levels
10 
11    User interface
12    - ** DofSplitting and DM attached to pc?
13 
14    Debugging output
15    - * Better management of verbosity levels of debugging output
16 
17    Build
18    - make runexe59
19 
20    Extra
21    - *** Is it possible to work with PCBDDCGraph on boundary indices only (less memory consumed)?
22    - Change of basis approach does not work with my nonlinear mechanics example. why? (seems not an issue with l2gmap)
23    - BDDC with MG framework?
24 
25    FETIDP
26    - Move FETIDP code to its own classes
27 
28    MATIS related operations contained in BDDC code
29    - Provide general case for subassembling
30    - *** Preallocation routines in MatISGetMPIAXAIJ
31 
32 */
33 
34 /* ----------------------------------------------------------------------------------------------------------------------------------------------
35    Implementation of BDDC preconditioner based on:
36    C. Dohrmann "An approximate BDDC preconditioner", Numerical Linear Algebra with Applications Volume 14, Issue 2, pages 149-168, March 2007
37    ---------------------------------------------------------------------------------------------------------------------------------------------- */
38 
39 #include <../src/ksp/pc/impls/bddc/bddc.h> /*I "petscpc.h" I*/  /* includes for fortran wrappers */
40 #include <../src/ksp/pc/impls/bddc/bddcprivate.h>
41 #include <petscblaslapack.h>
42 
43 /* -------------------------------------------------------------------------- */
44 #undef __FUNCT__
45 #define __FUNCT__ "PCSetFromOptions_BDDC"
46 PetscErrorCode PCSetFromOptions_BDDC(PetscOptions *PetscOptionsObject,PC pc)
47 {
48   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
49   PetscErrorCode ierr;
50 
51   PetscFunctionBegin;
52   ierr = PetscOptionsHead(PetscOptionsObject,"BDDC options");CHKERRQ(ierr);
53   /* Verbose debugging */
54   ierr = PetscOptionsInt("-pc_bddc_check_level","Verbose output for PCBDDC (intended for debug)","none",pcbddc->dbg_flag,&pcbddc->dbg_flag,NULL);CHKERRQ(ierr);
55   /* Primal space cumstomization */
56   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);
57   ierr = PetscOptionsBool("-pc_bddc_use_vertices","Use or not corner dofs in coarse space","none",pcbddc->use_vertices,&pcbddc->use_vertices,NULL);CHKERRQ(ierr);
58   ierr = PetscOptionsBool("-pc_bddc_use_edges","Use or not edge constraints in coarse space","none",pcbddc->use_edges,&pcbddc->use_edges,NULL);CHKERRQ(ierr);
59   ierr = PetscOptionsBool("-pc_bddc_use_faces","Use or not face constraints in coarse space","none",pcbddc->use_faces,&pcbddc->use_faces,NULL);CHKERRQ(ierr);
60   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);
61   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);
62   /* Change of basis */
63   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);
64   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);
65   if (!pcbddc->use_change_of_basis) {
66     pcbddc->use_change_on_faces = PETSC_FALSE;
67   }
68   /* Switch between M_2 (default) and M_3 preconditioners (as defined by C. Dohrmann in the ref. article) */
69   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);
70   ierr = PetscOptionsInt("-pc_bddc_coarse_redistribute","Number of procs where to redistribute coarse problem","none",pcbddc->redistribute_coarse,&pcbddc->redistribute_coarse,NULL);CHKERRQ(ierr);
71   ierr = PetscOptionsInt("-pc_bddc_coarsening_ratio","Set coarsening ratio used in multilevel coarsening","none",pcbddc->coarsening_ratio,&pcbddc->coarsening_ratio,NULL);CHKERRQ(ierr);
72   ierr = PetscOptionsInt("-pc_bddc_levels","Set maximum number of levels for multilevel","none",pcbddc->max_levels,&pcbddc->max_levels,NULL);CHKERRQ(ierr);
73   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);
74   ierr = PetscOptionsBool("-pc_bddc_use_deluxe_scaling","Use deluxe scaling for BDDC","none",pcbddc->use_deluxe_scaling,&pcbddc->use_deluxe_scaling,NULL);CHKERRQ(ierr);
75   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);
76   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);
77   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);
78   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);
79   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);
80   ierr = PetscOptionsInt("-pc_bddc_adaptive_nmin","Minimum number of constraints per connected components","none",pcbddc->adaptive_nmin,&pcbddc->adaptive_nmin,NULL);CHKERRQ(ierr);
81   ierr = PetscOptionsInt("-pc_bddc_adaptive_nmax","Maximum number of constraints per connected components","none",pcbddc->adaptive_nmax,&pcbddc->adaptive_nmax,NULL);CHKERRQ(ierr);
82   ierr = PetscOptionsBool("-pc_bddc_adaptive_invert_stildas","Whether or not to invert the Stildas matrices","none",pcbddc->adaptive_invert_Stildas,&pcbddc->adaptive_invert_Stildas,NULL);CHKERRQ(ierr);
83   ierr = PetscOptionsTail();CHKERRQ(ierr);
84   PetscFunctionReturn(0);
85 }
86 /* -------------------------------------------------------------------------- */
87 #undef __FUNCT__
88 #define __FUNCT__ "PCBDDCSetChangeOfBasisMat_BDDC"
89 static PetscErrorCode PCBDDCSetChangeOfBasisMat_BDDC(PC pc, Mat change)
90 {
91   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
92   PetscErrorCode ierr;
93 
94   PetscFunctionBegin;
95   ierr = MatDestroy(&pcbddc->user_ChangeOfBasisMatrix);CHKERRQ(ierr);
96   ierr = PetscObjectReference((PetscObject)change);CHKERRQ(ierr);
97   pcbddc->user_ChangeOfBasisMatrix = change;
98   PetscFunctionReturn(0);
99 }
100 #undef __FUNCT__
101 #define __FUNCT__ "PCBDDCSetChangeOfBasisMat"
102 /*@
103  PCBDDCSetChangeOfBasisMat - Set user defined change of basis for dofs
104 
105    Collective on PC
106 
107    Input Parameters:
108 +  pc - the preconditioning context
109 -  change - the change of basis matrix
110 
111    Level: intermediate
112 
113    Notes:
114 
115 .seealso: PCBDDC
116 @*/
117 PetscErrorCode PCBDDCSetChangeOfBasisMat(PC pc, Mat change)
118 {
119   PetscErrorCode ierr;
120 
121   PetscFunctionBegin;
122   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
123   PetscValidHeaderSpecific(change,MAT_CLASSID,2);
124   PetscCheckSameComm(pc,1,change,2);
125   if (pc->mat) {
126     PetscInt rows_c,cols_c,rows,cols;
127     ierr = MatGetSize(pc->mat,&rows,&cols);CHKERRQ(ierr);
128     ierr = MatGetSize(change,&rows_c,&cols_c);CHKERRQ(ierr);
129     if (rows_c != rows) {
130       SETERRQ2(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Invalid number of rows for change of basis matrix! %d != %d",rows_c,rows);
131     }
132     if (cols_c != cols) {
133       SETERRQ2(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Invalid number of columns for change of basis matrix! %d != %d",cols_c,cols);
134     }
135     ierr = MatGetLocalSize(pc->mat,&rows,&cols);CHKERRQ(ierr);
136     ierr = MatGetLocalSize(change,&rows_c,&cols_c);CHKERRQ(ierr);
137     if (rows_c != rows) {
138       SETERRQ2(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Invalid number of local rows for change of basis matrix! %d != %d",rows_c,rows);
139     }
140     if (cols_c != cols) {
141       SETERRQ2(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Invalid number of local columns for change of basis matrix! %d != %d",cols_c,cols);
142     }
143   }
144   ierr = PetscTryMethod(pc,"PCBDDCSetChangeOfBasisMat_C",(PC,Mat),(pc,change));CHKERRQ(ierr);
145   PetscFunctionReturn(0);
146 }
147 /* -------------------------------------------------------------------------- */
148 #undef __FUNCT__
149 #define __FUNCT__ "PCBDDCSetPrimalVerticesLocalIS_BDDC"
150 static PetscErrorCode PCBDDCSetPrimalVerticesLocalIS_BDDC(PC pc, IS PrimalVertices)
151 {
152   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
153   PetscErrorCode ierr;
154 
155   PetscFunctionBegin;
156   ierr = ISDestroy(&pcbddc->user_primal_vertices);CHKERRQ(ierr);
157   ierr = PetscObjectReference((PetscObject)PrimalVertices);CHKERRQ(ierr);
158   pcbddc->user_primal_vertices = PrimalVertices;
159   PetscFunctionReturn(0);
160 }
161 #undef __FUNCT__
162 #define __FUNCT__ "PCBDDCSetPrimalVerticesLocalIS"
163 /*@
164  PCBDDCSetPrimalVerticesLocalIS - Set additional user defined primal vertices in PCBDDC
165 
166    Not collective
167 
168    Input Parameters:
169 +  pc - the preconditioning context
170 -  PrimalVertices - index set of primal vertices in local numbering
171 
172    Level: intermediate
173 
174    Notes:
175 
176 .seealso: PCBDDC
177 @*/
178 PetscErrorCode PCBDDCSetPrimalVerticesLocalIS(PC pc, IS PrimalVertices)
179 {
180   PetscErrorCode ierr;
181 
182   PetscFunctionBegin;
183   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
184   PetscValidHeaderSpecific(PrimalVertices,IS_CLASSID,2);
185   ierr = PetscTryMethod(pc,"PCBDDCSetPrimalVerticesLocalIS_C",(PC,IS),(pc,PrimalVertices));CHKERRQ(ierr);
186   PetscFunctionReturn(0);
187 }
188 /* -------------------------------------------------------------------------- */
189 #undef __FUNCT__
190 #define __FUNCT__ "PCBDDCSetCoarseningRatio_BDDC"
191 static PetscErrorCode PCBDDCSetCoarseningRatio_BDDC(PC pc,PetscInt k)
192 {
193   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
194 
195   PetscFunctionBegin;
196   pcbddc->coarsening_ratio = k;
197   PetscFunctionReturn(0);
198 }
199 
200 #undef __FUNCT__
201 #define __FUNCT__ "PCBDDCSetCoarseningRatio"
202 /*@
203  PCBDDCSetCoarseningRatio - Set coarsening ratio used in multilevel
204 
205    Logically collective on PC
206 
207    Input Parameters:
208 +  pc - the preconditioning context
209 -  k - coarsening ratio (H/h at the coarser level)
210 
211    Approximatively k subdomains at the finer level will be aggregated into a single subdomain at the coarser level
212 
213    Level: intermediate
214 
215    Notes:
216 
217 .seealso: PCBDDC
218 @*/
219 PetscErrorCode PCBDDCSetCoarseningRatio(PC pc,PetscInt k)
220 {
221   PetscErrorCode ierr;
222 
223   PetscFunctionBegin;
224   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
225   PetscValidLogicalCollectiveInt(pc,k,2);
226   ierr = PetscTryMethod(pc,"PCBDDCSetCoarseningRatio_C",(PC,PetscInt),(pc,k));CHKERRQ(ierr);
227   PetscFunctionReturn(0);
228 }
229 
230 /* The following functions (PCBDDCSetUseExactDirichlet PCBDDCSetLevel) are not public */
231 #undef __FUNCT__
232 #define __FUNCT__ "PCBDDCSetUseExactDirichlet_BDDC"
233 static PetscErrorCode PCBDDCSetUseExactDirichlet_BDDC(PC pc,PetscBool flg)
234 {
235   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
236 
237   PetscFunctionBegin;
238   pcbddc->use_exact_dirichlet_trick = flg;
239   PetscFunctionReturn(0);
240 }
241 
242 #undef __FUNCT__
243 #define __FUNCT__ "PCBDDCSetUseExactDirichlet"
244 PetscErrorCode PCBDDCSetUseExactDirichlet(PC pc,PetscBool flg)
245 {
246   PetscErrorCode ierr;
247 
248   PetscFunctionBegin;
249   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
250   PetscValidLogicalCollectiveBool(pc,flg,2);
251   ierr = PetscTryMethod(pc,"PCBDDCSetUseExactDirichlet_C",(PC,PetscBool),(pc,flg));CHKERRQ(ierr);
252   PetscFunctionReturn(0);
253 }
254 
255 #undef __FUNCT__
256 #define __FUNCT__ "PCBDDCSetLevel_BDDC"
257 static PetscErrorCode PCBDDCSetLevel_BDDC(PC pc,PetscInt level)
258 {
259   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
260 
261   PetscFunctionBegin;
262   pcbddc->current_level = level;
263   PetscFunctionReturn(0);
264 }
265 
266 #undef __FUNCT__
267 #define __FUNCT__ "PCBDDCSetLevel"
268 PetscErrorCode PCBDDCSetLevel(PC pc,PetscInt level)
269 {
270   PetscErrorCode ierr;
271 
272   PetscFunctionBegin;
273   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
274   PetscValidLogicalCollectiveInt(pc,level,2);
275   ierr = PetscTryMethod(pc,"PCBDDCSetLevel_C",(PC,PetscInt),(pc,level));CHKERRQ(ierr);
276   PetscFunctionReturn(0);
277 }
278 
279 #undef __FUNCT__
280 #define __FUNCT__ "PCBDDCSetLevels_BDDC"
281 static PetscErrorCode PCBDDCSetLevels_BDDC(PC pc,PetscInt levels)
282 {
283   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
284 
285   PetscFunctionBegin;
286   pcbddc->max_levels = levels;
287   PetscFunctionReturn(0);
288 }
289 
290 #undef __FUNCT__
291 #define __FUNCT__ "PCBDDCSetLevels"
292 /*@
293  PCBDDCSetLevels - Sets the maximum number of levels for multilevel
294 
295    Logically collective on PC
296 
297    Input Parameters:
298 +  pc - the preconditioning context
299 -  levels - the maximum number of levels (max 9)
300 
301    Default value is 0, i.e. traditional one-level BDDC
302 
303    Level: intermediate
304 
305    Notes:
306 
307 .seealso: PCBDDC
308 @*/
309 PetscErrorCode PCBDDCSetLevels(PC pc,PetscInt levels)
310 {
311   PetscErrorCode ierr;
312 
313   PetscFunctionBegin;
314   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
315   PetscValidLogicalCollectiveInt(pc,levels,2);
316   if (levels > 99) SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Maximum number of levels for bddc is 99\n");
317   ierr = PetscTryMethod(pc,"PCBDDCSetLevels_C",(PC,PetscInt),(pc,levels));CHKERRQ(ierr);
318   PetscFunctionReturn(0);
319 }
320 /* -------------------------------------------------------------------------- */
321 
322 #undef __FUNCT__
323 #define __FUNCT__ "PCBDDCSetNullSpace_BDDC"
324 static PetscErrorCode PCBDDCSetNullSpace_BDDC(PC pc,MatNullSpace NullSpace)
325 {
326   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
327   PetscErrorCode ierr;
328 
329   PetscFunctionBegin;
330   ierr = PetscObjectReference((PetscObject)NullSpace);CHKERRQ(ierr);
331   ierr = MatNullSpaceDestroy(&pcbddc->NullSpace);CHKERRQ(ierr);
332   pcbddc->NullSpace = NullSpace;
333   PetscFunctionReturn(0);
334 }
335 
336 #undef __FUNCT__
337 #define __FUNCT__ "PCBDDCSetNullSpace"
338 /*@
339  PCBDDCSetNullSpace - Set nullspace for BDDC operator
340 
341    Logically collective on PC and MatNullSpace
342 
343    Input Parameters:
344 +  pc - the preconditioning context
345 -  NullSpace - Null space of the linear operator to be preconditioned (Pmat)
346 
347    Level: intermediate
348 
349    Notes:
350 
351 .seealso: PCBDDC
352 @*/
353 PetscErrorCode PCBDDCSetNullSpace(PC pc,MatNullSpace NullSpace)
354 {
355   PetscErrorCode ierr;
356 
357   PetscFunctionBegin;
358   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
359   PetscValidHeaderSpecific(NullSpace,MAT_NULLSPACE_CLASSID,2);
360   PetscCheckSameComm(pc,1,NullSpace,2);
361   ierr = PetscTryMethod(pc,"PCBDDCSetNullSpace_C",(PC,MatNullSpace),(pc,NullSpace));CHKERRQ(ierr);
362   PetscFunctionReturn(0);
363 }
364 /* -------------------------------------------------------------------------- */
365 
366 #undef __FUNCT__
367 #define __FUNCT__ "PCBDDCSetDirichletBoundaries_BDDC"
368 static PetscErrorCode PCBDDCSetDirichletBoundaries_BDDC(PC pc,IS DirichletBoundaries)
369 {
370   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
371   PetscErrorCode ierr;
372 
373   PetscFunctionBegin;
374   /* last user setting takes precendence -> destroy any other customization */
375   ierr = ISDestroy(&pcbddc->DirichletBoundariesLocal);CHKERRQ(ierr);
376   ierr = ISDestroy(&pcbddc->DirichletBoundaries);CHKERRQ(ierr);
377   ierr = PetscObjectReference((PetscObject)DirichletBoundaries);CHKERRQ(ierr);
378   pcbddc->DirichletBoundaries = DirichletBoundaries;
379   pcbddc->recompute_topography = PETSC_TRUE;
380   PetscFunctionReturn(0);
381 }
382 
383 #undef __FUNCT__
384 #define __FUNCT__ "PCBDDCSetDirichletBoundaries"
385 /*@
386  PCBDDCSetDirichletBoundaries - Set IS defining Dirichlet boundaries for the global problem.
387 
388    Collective
389 
390    Input Parameters:
391 +  pc - the preconditioning context
392 -  DirichletBoundaries - parallel IS defining the Dirichlet boundaries
393 
394    Level: intermediate
395 
396    Notes: Any process can list any global node
397 
398 .seealso: PCBDDC
399 @*/
400 PetscErrorCode PCBDDCSetDirichletBoundaries(PC pc,IS DirichletBoundaries)
401 {
402   PetscErrorCode ierr;
403 
404   PetscFunctionBegin;
405   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
406   PetscValidHeaderSpecific(DirichletBoundaries,IS_CLASSID,2);
407   PetscCheckSameComm(pc,1,DirichletBoundaries,2);
408   ierr = PetscTryMethod(pc,"PCBDDCSetDirichletBoundaries_C",(PC,IS),(pc,DirichletBoundaries));CHKERRQ(ierr);
409   PetscFunctionReturn(0);
410 }
411 /* -------------------------------------------------------------------------- */
412 
413 #undef __FUNCT__
414 #define __FUNCT__ "PCBDDCSetDirichletBoundariesLocal_BDDC"
415 static PetscErrorCode PCBDDCSetDirichletBoundariesLocal_BDDC(PC pc,IS DirichletBoundaries)
416 {
417   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
418   PetscErrorCode ierr;
419 
420   PetscFunctionBegin;
421   /* last user setting takes precendence -> destroy any other customization */
422   ierr = ISDestroy(&pcbddc->DirichletBoundariesLocal);CHKERRQ(ierr);
423   ierr = ISDestroy(&pcbddc->DirichletBoundaries);CHKERRQ(ierr);
424   ierr = PetscObjectReference((PetscObject)DirichletBoundaries);CHKERRQ(ierr);
425   pcbddc->DirichletBoundariesLocal = DirichletBoundaries;
426   pcbddc->recompute_topography = PETSC_TRUE;
427   PetscFunctionReturn(0);
428 }
429 
430 #undef __FUNCT__
431 #define __FUNCT__ "PCBDDCSetDirichletBoundariesLocal"
432 /*@
433  PCBDDCSetDirichletBoundariesLocal - Set IS defining Dirichlet boundaries for the global problem in local ordering.
434 
435    Collective
436 
437    Input Parameters:
438 +  pc - the preconditioning context
439 -  DirichletBoundaries - parallel IS defining the Dirichlet boundaries (in local ordering)
440 
441    Level: intermediate
442 
443    Notes:
444 
445 .seealso: PCBDDC
446 @*/
447 PetscErrorCode PCBDDCSetDirichletBoundariesLocal(PC pc,IS DirichletBoundaries)
448 {
449   PetscErrorCode ierr;
450 
451   PetscFunctionBegin;
452   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
453   PetscValidHeaderSpecific(DirichletBoundaries,IS_CLASSID,2);
454   PetscCheckSameComm(pc,1,DirichletBoundaries,2);
455   ierr = PetscTryMethod(pc,"PCBDDCSetDirichletBoundariesLocal_C",(PC,IS),(pc,DirichletBoundaries));CHKERRQ(ierr);
456   PetscFunctionReturn(0);
457 }
458 /* -------------------------------------------------------------------------- */
459 
460 #undef __FUNCT__
461 #define __FUNCT__ "PCBDDCSetNeumannBoundaries_BDDC"
462 static PetscErrorCode PCBDDCSetNeumannBoundaries_BDDC(PC pc,IS NeumannBoundaries)
463 {
464   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
465   PetscErrorCode ierr;
466 
467   PetscFunctionBegin;
468   /* last user setting takes precendence -> destroy any other customization */
469   ierr = ISDestroy(&pcbddc->NeumannBoundariesLocal);CHKERRQ(ierr);
470   ierr = ISDestroy(&pcbddc->NeumannBoundaries);CHKERRQ(ierr);
471   ierr = PetscObjectReference((PetscObject)NeumannBoundaries);CHKERRQ(ierr);
472   pcbddc->NeumannBoundaries = NeumannBoundaries;
473   pcbddc->recompute_topography = PETSC_TRUE;
474   PetscFunctionReturn(0);
475 }
476 
477 #undef __FUNCT__
478 #define __FUNCT__ "PCBDDCSetNeumannBoundaries"
479 /*@
480  PCBDDCSetNeumannBoundaries - Set IS defining Neumann boundaries for the global problem.
481 
482    Collective
483 
484    Input Parameters:
485 +  pc - the preconditioning context
486 -  NeumannBoundaries - parallel IS defining the Neumann boundaries
487 
488    Level: intermediate
489 
490    Notes: Any process can list any global node
491 
492 .seealso: PCBDDC
493 @*/
494 PetscErrorCode PCBDDCSetNeumannBoundaries(PC pc,IS NeumannBoundaries)
495 {
496   PetscErrorCode ierr;
497 
498   PetscFunctionBegin;
499   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
500   PetscValidHeaderSpecific(NeumannBoundaries,IS_CLASSID,2);
501   PetscCheckSameComm(pc,1,NeumannBoundaries,2);
502   ierr = PetscTryMethod(pc,"PCBDDCSetNeumannBoundaries_C",(PC,IS),(pc,NeumannBoundaries));CHKERRQ(ierr);
503   PetscFunctionReturn(0);
504 }
505 /* -------------------------------------------------------------------------- */
506 
507 #undef __FUNCT__
508 #define __FUNCT__ "PCBDDCSetNeumannBoundariesLocal_BDDC"
509 static PetscErrorCode PCBDDCSetNeumannBoundariesLocal_BDDC(PC pc,IS NeumannBoundaries)
510 {
511   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
512   PetscErrorCode ierr;
513 
514   PetscFunctionBegin;
515   /* last user setting takes precendence -> destroy any other customization */
516   ierr = ISDestroy(&pcbddc->NeumannBoundariesLocal);CHKERRQ(ierr);
517   ierr = ISDestroy(&pcbddc->NeumannBoundaries);CHKERRQ(ierr);
518   ierr = PetscObjectReference((PetscObject)NeumannBoundaries);CHKERRQ(ierr);
519   pcbddc->NeumannBoundariesLocal = NeumannBoundaries;
520   pcbddc->recompute_topography = PETSC_TRUE;
521   PetscFunctionReturn(0);
522 }
523 
524 #undef __FUNCT__
525 #define __FUNCT__ "PCBDDCSetNeumannBoundariesLocal"
526 /*@
527  PCBDDCSetNeumannBoundariesLocal - Set IS defining Neumann boundaries for the global problem in local ordering.
528 
529    Collective
530 
531    Input Parameters:
532 +  pc - the preconditioning context
533 -  NeumannBoundaries - parallel IS defining the subdomain part of Neumann boundaries (in local ordering)
534 
535    Level: intermediate
536 
537    Notes:
538 
539 .seealso: PCBDDC
540 @*/
541 PetscErrorCode PCBDDCSetNeumannBoundariesLocal(PC pc,IS NeumannBoundaries)
542 {
543   PetscErrorCode ierr;
544 
545   PetscFunctionBegin;
546   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
547   PetscValidHeaderSpecific(NeumannBoundaries,IS_CLASSID,2);
548   PetscCheckSameComm(pc,1,NeumannBoundaries,2);
549   ierr = PetscTryMethod(pc,"PCBDDCSetNeumannBoundariesLocal_C",(PC,IS),(pc,NeumannBoundaries));CHKERRQ(ierr);
550   PetscFunctionReturn(0);
551 }
552 /* -------------------------------------------------------------------------- */
553 
554 #undef __FUNCT__
555 #define __FUNCT__ "PCBDDCGetDirichletBoundaries_BDDC"
556 static PetscErrorCode PCBDDCGetDirichletBoundaries_BDDC(PC pc,IS *DirichletBoundaries)
557 {
558   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
559 
560   PetscFunctionBegin;
561   *DirichletBoundaries = pcbddc->DirichletBoundaries;
562   PetscFunctionReturn(0);
563 }
564 
565 #undef __FUNCT__
566 #define __FUNCT__ "PCBDDCGetDirichletBoundaries"
567 /*@
568  PCBDDCGetDirichletBoundaries - Get parallel IS for Dirichlet boundaries
569 
570    Collective
571 
572    Input Parameters:
573 .  pc - the preconditioning context
574 
575    Output Parameters:
576 .  DirichletBoundaries - index set defining the Dirichlet boundaries
577 
578    Level: intermediate
579 
580    Notes: The IS returned (if any) is the same passed in earlier by the user with PCBDDCSetDirichletBoundaries
581 
582 .seealso: PCBDDC
583 @*/
584 PetscErrorCode PCBDDCGetDirichletBoundaries(PC pc,IS *DirichletBoundaries)
585 {
586   PetscErrorCode ierr;
587 
588   PetscFunctionBegin;
589   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
590   ierr = PetscUseMethod(pc,"PCBDDCGetDirichletBoundaries_C",(PC,IS*),(pc,DirichletBoundaries));CHKERRQ(ierr);
591   PetscFunctionReturn(0);
592 }
593 /* -------------------------------------------------------------------------- */
594 
595 #undef __FUNCT__
596 #define __FUNCT__ "PCBDDCGetDirichletBoundariesLocal_BDDC"
597 static PetscErrorCode PCBDDCGetDirichletBoundariesLocal_BDDC(PC pc,IS *DirichletBoundaries)
598 {
599   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
600 
601   PetscFunctionBegin;
602   *DirichletBoundaries = pcbddc->DirichletBoundariesLocal;
603   PetscFunctionReturn(0);
604 }
605 
606 #undef __FUNCT__
607 #define __FUNCT__ "PCBDDCGetDirichletBoundariesLocal"
608 /*@
609  PCBDDCGetDirichletBoundariesLocal - Get parallel IS for Dirichlet boundaries (in local ordering)
610 
611    Collective
612 
613    Input Parameters:
614 .  pc - the preconditioning context
615 
616    Output Parameters:
617 .  DirichletBoundaries - index set defining the subdomain part of Dirichlet boundaries
618 
619    Level: intermediate
620 
621    Notes:
622 
623 .seealso: PCBDDC
624 @*/
625 PetscErrorCode PCBDDCGetDirichletBoundariesLocal(PC pc,IS *DirichletBoundaries)
626 {
627   PetscErrorCode ierr;
628 
629   PetscFunctionBegin;
630   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
631   ierr = PetscUseMethod(pc,"PCBDDCGetDirichletBoundariesLocal_C",(PC,IS*),(pc,DirichletBoundaries));CHKERRQ(ierr);
632   PetscFunctionReturn(0);
633 }
634 /* -------------------------------------------------------------------------- */
635 
636 #undef __FUNCT__
637 #define __FUNCT__ "PCBDDCGetNeumannBoundaries_BDDC"
638 static PetscErrorCode PCBDDCGetNeumannBoundaries_BDDC(PC pc,IS *NeumannBoundaries)
639 {
640   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
641 
642   PetscFunctionBegin;
643   *NeumannBoundaries = pcbddc->NeumannBoundaries;
644   PetscFunctionReturn(0);
645 }
646 
647 #undef __FUNCT__
648 #define __FUNCT__ "PCBDDCGetNeumannBoundaries"
649 /*@
650  PCBDDCGetNeumannBoundaries - Get parallel IS for Neumann boundaries
651 
652    Collective
653 
654    Input Parameters:
655 .  pc - the preconditioning context
656 
657    Output Parameters:
658 .  NeumannBoundaries - index set defining the Neumann boundaries
659 
660    Level: intermediate
661 
662    Notes: The IS returned (if any) is the same passed in earlier by the user with PCBDDCSetNeumannBoundaries
663 
664 .seealso: PCBDDC
665 @*/
666 PetscErrorCode PCBDDCGetNeumannBoundaries(PC pc,IS *NeumannBoundaries)
667 {
668   PetscErrorCode ierr;
669 
670   PetscFunctionBegin;
671   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
672   ierr = PetscUseMethod(pc,"PCBDDCGetNeumannBoundaries_C",(PC,IS*),(pc,NeumannBoundaries));CHKERRQ(ierr);
673   PetscFunctionReturn(0);
674 }
675 /* -------------------------------------------------------------------------- */
676 
677 #undef __FUNCT__
678 #define __FUNCT__ "PCBDDCGetNeumannBoundariesLocal_BDDC"
679 static PetscErrorCode PCBDDCGetNeumannBoundariesLocal_BDDC(PC pc,IS *NeumannBoundaries)
680 {
681   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
682 
683   PetscFunctionBegin;
684   *NeumannBoundaries = pcbddc->NeumannBoundariesLocal;
685   PetscFunctionReturn(0);
686 }
687 
688 #undef __FUNCT__
689 #define __FUNCT__ "PCBDDCGetNeumannBoundariesLocal"
690 /*@
691  PCBDDCGetNeumannBoundariesLocal - Get parallel IS for Neumann boundaries (in local ordering)
692 
693    Collective
694 
695    Input Parameters:
696 .  pc - the preconditioning context
697 
698    Output Parameters:
699 .  NeumannBoundaries - index set defining the subdomain part of Neumann boundaries
700 
701    Level: intermediate
702 
703    Notes:
704 
705 .seealso: PCBDDC
706 @*/
707 PetscErrorCode PCBDDCGetNeumannBoundariesLocal(PC pc,IS *NeumannBoundaries)
708 {
709   PetscErrorCode ierr;
710 
711   PetscFunctionBegin;
712   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
713   ierr = PetscUseMethod(pc,"PCBDDCGetNeumannBoundariesLocal_C",(PC,IS*),(pc,NeumannBoundaries));CHKERRQ(ierr);
714   PetscFunctionReturn(0);
715 }
716 /* -------------------------------------------------------------------------- */
717 
718 #undef __FUNCT__
719 #define __FUNCT__ "PCBDDCSetLocalAdjacencyGraph_BDDC"
720 static PetscErrorCode PCBDDCSetLocalAdjacencyGraph_BDDC(PC pc, PetscInt nvtxs,const PetscInt xadj[],const PetscInt adjncy[], PetscCopyMode copymode)
721 {
722   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
723   PCBDDCGraph    mat_graph = pcbddc->mat_graph;
724   PetscErrorCode ierr;
725 
726   PetscFunctionBegin;
727   /* free old CSR */
728   ierr = PCBDDCGraphResetCSR(mat_graph);CHKERRQ(ierr);
729   /* TODO: PCBDDCGraphSetAdjacency */
730   /* get CSR into graph structure */
731   if (copymode == PETSC_COPY_VALUES) {
732     ierr = PetscMalloc1(nvtxs+1,&mat_graph->xadj);CHKERRQ(ierr);
733     ierr = PetscMalloc1(xadj[nvtxs],&mat_graph->adjncy);CHKERRQ(ierr);
734     ierr = PetscMemcpy(mat_graph->xadj,xadj,(nvtxs+1)*sizeof(PetscInt));CHKERRQ(ierr);
735     ierr = PetscMemcpy(mat_graph->adjncy,adjncy,xadj[nvtxs]*sizeof(PetscInt));CHKERRQ(ierr);
736   } else if (copymode == PETSC_OWN_POINTER) {
737     mat_graph->xadj = (PetscInt*)xadj;
738     mat_graph->adjncy = (PetscInt*)adjncy;
739   }
740   mat_graph->nvtxs_csr = nvtxs;
741   PetscFunctionReturn(0);
742 }
743 
744 #undef __FUNCT__
745 #define __FUNCT__ "PCBDDCSetLocalAdjacencyGraph"
746 /*@
747  PCBDDCSetLocalAdjacencyGraph - Set adjacency structure (CSR graph) of the local Neumann matrix
748 
749    Not collective
750 
751    Input Parameters:
752 +  pc - the preconditioning context
753 .  nvtxs - number of local vertices of the graph (i.e., the local size of your problem)
754 .  xadj, adjncy - the CSR graph
755 -  copymode - either PETSC_COPY_VALUES or PETSC_OWN_POINTER.
756 
757    Level: intermediate
758 
759    Notes:
760 
761 .seealso: PCBDDC,PetscCopyMode
762 @*/
763 PetscErrorCode PCBDDCSetLocalAdjacencyGraph(PC pc,PetscInt nvtxs,const PetscInt xadj[],const PetscInt adjncy[], PetscCopyMode copymode)
764 {
765   void (*f)(void) = 0;
766   PetscErrorCode ierr;
767 
768   PetscFunctionBegin;
769   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
770   PetscValidIntPointer(xadj,3);
771   PetscValidIntPointer(adjncy,4);
772   if (copymode != PETSC_COPY_VALUES && copymode != PETSC_OWN_POINTER) {
773     SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_SUP,"Unsupported copy mode %d in %s\n",copymode,__FUNCT__);
774   }
775   ierr = PetscTryMethod(pc,"PCBDDCSetLocalAdjacencyGraph_C",(PC,PetscInt,const PetscInt[],const PetscInt[],PetscCopyMode),(pc,nvtxs,xadj,adjncy,copymode));CHKERRQ(ierr);
776   /* free arrays if PCBDDC is not the PC type */
777   ierr = PetscObjectQueryFunction((PetscObject)pc,"PCBDDCSetLocalAdjacencyGraph_C",&f);CHKERRQ(ierr);
778   if (!f && copymode == PETSC_OWN_POINTER) {
779     ierr = PetscFree(xadj);CHKERRQ(ierr);
780     ierr = PetscFree(adjncy);CHKERRQ(ierr);
781   }
782   PetscFunctionReturn(0);
783 }
784 /* -------------------------------------------------------------------------- */
785 
786 #undef __FUNCT__
787 #define __FUNCT__ "PCBDDCSetDofsSplittingLocal_BDDC"
788 static PetscErrorCode PCBDDCSetDofsSplittingLocal_BDDC(PC pc,PetscInt n_is, IS ISForDofs[])
789 {
790   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
791   PetscInt i;
792   PetscErrorCode ierr;
793 
794   PetscFunctionBegin;
795   /* Destroy ISes if they were already set */
796   for (i=0;i<pcbddc->n_ISForDofsLocal;i++) {
797     ierr = ISDestroy(&pcbddc->ISForDofsLocal[i]);CHKERRQ(ierr);
798   }
799   ierr = PetscFree(pcbddc->ISForDofsLocal);CHKERRQ(ierr);
800   /* last user setting takes precendence -> destroy any other customization */
801   for (i=0;i<pcbddc->n_ISForDofs;i++) {
802     ierr = ISDestroy(&pcbddc->ISForDofs[i]);CHKERRQ(ierr);
803   }
804   ierr = PetscFree(pcbddc->ISForDofs);CHKERRQ(ierr);
805   pcbddc->n_ISForDofs = 0;
806   /* allocate space then set */
807   if (n_is) {
808     ierr = PetscMalloc1(n_is,&pcbddc->ISForDofsLocal);CHKERRQ(ierr);
809   }
810   for (i=0;i<n_is;i++) {
811     ierr = PetscObjectReference((PetscObject)ISForDofs[i]);CHKERRQ(ierr);
812     pcbddc->ISForDofsLocal[i]=ISForDofs[i];
813   }
814   pcbddc->n_ISForDofsLocal=n_is;
815   if (n_is) pcbddc->user_provided_isfordofs = PETSC_TRUE;
816   pcbddc->recompute_topography = PETSC_TRUE;
817   PetscFunctionReturn(0);
818 }
819 
820 #undef __FUNCT__
821 #define __FUNCT__ "PCBDDCSetDofsSplittingLocal"
822 /*@
823  PCBDDCSetDofsSplittingLocal - Set index sets defining fields of the local subdomain matrix
824 
825    Collective
826 
827    Input Parameters:
828 +  pc - the preconditioning context
829 -  n_is - number of index sets defining the fields
830 .  ISForDofs - array of IS describing the fields in local ordering
831 
832    Level: intermediate
833 
834    Notes: n_is should be the same among processes. Not all nodes need to be listed: unlisted nodes will belong to a different field.
835 
836 .seealso: PCBDDC
837 @*/
838 PetscErrorCode PCBDDCSetDofsSplittingLocal(PC pc,PetscInt n_is, IS ISForDofs[])
839 {
840   PetscInt       i;
841   PetscErrorCode ierr;
842 
843   PetscFunctionBegin;
844   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
845   PetscValidLogicalCollectiveInt(pc,n_is,2);
846   for (i=0;i<n_is;i++) {
847     PetscCheckSameComm(pc,1,ISForDofs[i],3);
848     PetscValidHeaderSpecific(ISForDofs[i],IS_CLASSID,3);
849   }
850   ierr = PetscTryMethod(pc,"PCBDDCSetDofsSplittingLocal_C",(PC,PetscInt,IS[]),(pc,n_is,ISForDofs));CHKERRQ(ierr);
851   PetscFunctionReturn(0);
852 }
853 /* -------------------------------------------------------------------------- */
854 
855 #undef __FUNCT__
856 #define __FUNCT__ "PCBDDCSetDofsSplitting_BDDC"
857 static PetscErrorCode PCBDDCSetDofsSplitting_BDDC(PC pc,PetscInt n_is, IS ISForDofs[])
858 {
859   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
860   PetscInt i;
861   PetscErrorCode ierr;
862 
863   PetscFunctionBegin;
864   /* Destroy ISes if they were already set */
865   for (i=0;i<pcbddc->n_ISForDofs;i++) {
866     ierr = ISDestroy(&pcbddc->ISForDofs[i]);CHKERRQ(ierr);
867   }
868   ierr = PetscFree(pcbddc->ISForDofs);CHKERRQ(ierr);
869   /* last user setting takes precendence -> destroy any other customization */
870   for (i=0;i<pcbddc->n_ISForDofsLocal;i++) {
871     ierr = ISDestroy(&pcbddc->ISForDofsLocal[i]);CHKERRQ(ierr);
872   }
873   ierr = PetscFree(pcbddc->ISForDofsLocal);CHKERRQ(ierr);
874   pcbddc->n_ISForDofsLocal = 0;
875   /* allocate space then set */
876   if (n_is) {
877     ierr = PetscMalloc1(n_is,&pcbddc->ISForDofs);CHKERRQ(ierr);
878   }
879   for (i=0;i<n_is;i++) {
880     ierr = PetscObjectReference((PetscObject)ISForDofs[i]);CHKERRQ(ierr);
881     pcbddc->ISForDofs[i]=ISForDofs[i];
882   }
883   pcbddc->n_ISForDofs=n_is;
884   if (n_is) pcbddc->user_provided_isfordofs = PETSC_TRUE;
885   pcbddc->recompute_topography = PETSC_TRUE;
886   PetscFunctionReturn(0);
887 }
888 
889 #undef __FUNCT__
890 #define __FUNCT__ "PCBDDCSetDofsSplitting"
891 /*@
892  PCBDDCSetDofsSplitting - Set index sets defining fields of the global matrix
893 
894    Collective
895 
896    Input Parameters:
897 +  pc - the preconditioning context
898 -  n_is - number of index sets defining the fields
899 .  ISForDofs - array of IS describing the fields in global ordering
900 
901    Level: intermediate
902 
903    Notes: Any process can list any global node. Not all nodes need to be listed: unlisted nodes will belong to a different field.
904 
905 .seealso: PCBDDC
906 @*/
907 PetscErrorCode PCBDDCSetDofsSplitting(PC pc,PetscInt n_is, IS ISForDofs[])
908 {
909   PetscInt       i;
910   PetscErrorCode ierr;
911 
912   PetscFunctionBegin;
913   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
914   PetscValidLogicalCollectiveInt(pc,n_is,2);
915   for (i=0;i<n_is;i++) {
916     PetscCheckSameComm(pc,1,ISForDofs[i],3);
917     PetscValidHeaderSpecific(ISForDofs[i],IS_CLASSID,3);
918   }
919   ierr = PetscTryMethod(pc,"PCBDDCSetDofsSplitting_C",(PC,PetscInt,IS[]),(pc,n_is,ISForDofs));CHKERRQ(ierr);
920   PetscFunctionReturn(0);
921 }
922 
923 /* -------------------------------------------------------------------------- */
924 #undef __FUNCT__
925 #define __FUNCT__ "PCPreSolve_BDDC"
926 /* -------------------------------------------------------------------------- */
927 /*
928    PCPreSolve_BDDC - Changes the right hand side and (if necessary) the initial
929                      guess if a transformation of basis approach has been selected.
930 
931    Input Parameter:
932 +  pc - the preconditioner contex
933 
934    Application Interface Routine: PCPreSolve()
935 
936    Notes:
937    The interface routine PCPreSolve() is not usually called directly by
938    the user, but instead is called by KSPSolve().
939 */
940 static PetscErrorCode PCPreSolve_BDDC(PC pc, KSP ksp, Vec rhs, Vec x)
941 {
942   PetscErrorCode ierr;
943   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
944   PC_IS          *pcis = (PC_IS*)(pc->data);
945   Vec            used_vec;
946   PetscBool      copy_rhs = PETSC_TRUE;
947 
948   PetscFunctionBegin;
949   /* if we are working with cg, one dirichlet solve can be avoided during Krylov iterations */
950   if (ksp) {
951     PetscBool iscg;
952     ierr = PetscObjectTypeCompare((PetscObject)ksp,KSPCG,&iscg);CHKERRQ(ierr);
953     if (!iscg) {
954       ierr = PCBDDCSetUseExactDirichlet(pc,PETSC_FALSE);CHKERRQ(ierr);
955     }
956   }
957   /* Creates parallel work vectors used in presolve */
958   if (!pcbddc->original_rhs) {
959     ierr = VecDuplicate(pcis->vec1_global,&pcbddc->original_rhs);CHKERRQ(ierr);
960   }
961   if (!pcbddc->temp_solution) {
962     ierr = VecDuplicate(pcis->vec1_global,&pcbddc->temp_solution);CHKERRQ(ierr);
963   }
964 
965   if (x) {
966     ierr = PetscObjectReference((PetscObject)x);CHKERRQ(ierr);
967     used_vec = x;
968   } else { /* it can only happen when calling PCBDDCMatFETIDPGetRHS */
969     ierr = PetscObjectReference((PetscObject)pcbddc->temp_solution);CHKERRQ(ierr);
970     used_vec = pcbddc->temp_solution;
971     ierr = VecSet(used_vec,0.0);CHKERRQ(ierr);
972   }
973 
974   /* hack into ksp data structure since PCPreSolve comes earlier than setting to zero the guess in src/ksp/ksp/interface/itfunc.c */
975   if (ksp) {
976     /* store the flag for the initial guess since it will be restored back during PCPostSolve_BDDC */
977     ierr = KSPGetInitialGuessNonzero(ksp,&pcbddc->ksp_guess_nonzero);CHKERRQ(ierr);
978     if (!pcbddc->ksp_guess_nonzero) {
979       ierr = VecSet(used_vec,0.0);CHKERRQ(ierr);
980     }
981   }
982 
983   pcbddc->rhs_change = PETSC_FALSE;
984 
985   /* Take into account zeroed rows -> change rhs and store solution removed */
986   if (rhs && pcbddc->DirichletBoundariesLocal) {
987     IS dirIS = NULL;
988 
989     /* DirichletBoundariesLocal may not be consistent among neighbours */
990     ierr = PCBDDCGraphGetDirichletDofs(pcbddc->mat_graph,&dirIS);CHKERRQ(ierr);
991     if (dirIS) {
992       Mat_IS            *matis = (Mat_IS*)pc->pmat->data;
993       PetscInt          dirsize,i,*is_indices;
994       PetscScalar       *array_x;
995       const PetscScalar *array_diagonal;
996 
997       ierr = MatGetDiagonal(pc->pmat,pcis->vec1_global);CHKERRQ(ierr);
998       ierr = VecPointwiseDivide(pcis->vec1_global,rhs,pcis->vec1_global);CHKERRQ(ierr);
999       ierr = VecScatterBegin(matis->ctx,pcis->vec1_global,pcis->vec2_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1000       ierr = VecScatterEnd(matis->ctx,pcis->vec1_global,pcis->vec2_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1001       ierr = VecScatterBegin(matis->ctx,used_vec,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1002       ierr = VecScatterEnd(matis->ctx,used_vec,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1003       ierr = ISGetLocalSize(dirIS,&dirsize);CHKERRQ(ierr);
1004       ierr = VecGetArray(pcis->vec1_N,&array_x);CHKERRQ(ierr);
1005       ierr = VecGetArrayRead(pcis->vec2_N,&array_diagonal);CHKERRQ(ierr);
1006       ierr = ISGetIndices(dirIS,(const PetscInt**)&is_indices);CHKERRQ(ierr);
1007       for (i=0; i<dirsize; i++) array_x[is_indices[i]] = array_diagonal[is_indices[i]];
1008       ierr = ISRestoreIndices(dirIS,(const PetscInt**)&is_indices);CHKERRQ(ierr);
1009       ierr = VecRestoreArrayRead(pcis->vec2_N,&array_diagonal);CHKERRQ(ierr);
1010       ierr = VecRestoreArray(pcis->vec1_N,&array_x);CHKERRQ(ierr);
1011       ierr = VecScatterBegin(matis->ctx,pcis->vec1_N,used_vec,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1012       ierr = VecScatterEnd(matis->ctx,pcis->vec1_N,used_vec,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1013       pcbddc->rhs_change = PETSC_TRUE;
1014     }
1015     ierr = ISDestroy(&dirIS);CHKERRQ(ierr);
1016   }
1017 
1018   /* remove the computed solution or the initial guess from the rhs */
1019   if (pcbddc->rhs_change || (ksp && pcbddc->ksp_guess_nonzero) ) {
1020     /* store the original rhs */
1021     if (copy_rhs) {
1022       ierr = VecCopy(rhs,pcbddc->original_rhs);CHKERRQ(ierr);
1023       copy_rhs = PETSC_FALSE;
1024     }
1025     pcbddc->rhs_change = PETSC_TRUE;
1026     ierr = VecScale(used_vec,-1.0);CHKERRQ(ierr);
1027     ierr = MatMultAdd(pc->pmat,used_vec,rhs,rhs);CHKERRQ(ierr);
1028     ierr = VecScale(used_vec,-1.0);CHKERRQ(ierr);
1029     ierr = VecCopy(used_vec,pcbddc->temp_solution);CHKERRQ(ierr);
1030     if (ksp) {
1031       ierr = KSPSetInitialGuessNonzero(ksp,PETSC_FALSE);CHKERRQ(ierr);
1032     }
1033   }
1034   ierr = VecDestroy(&used_vec);CHKERRQ(ierr);
1035 
1036   /* store partially computed solution and set initial guess */
1037   if (x && pcbddc->use_exact_dirichlet_trick) {
1038     ierr = VecSet(x,0.0);CHKERRQ(ierr);
1039     ierr = VecScatterBegin(pcis->global_to_D,rhs,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1040     ierr = VecScatterEnd(pcis->global_to_D,rhs,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1041     ierr = KSPSolve(pcbddc->ksp_D,pcis->vec1_D,pcis->vec2_D);CHKERRQ(ierr);
1042     ierr = VecScatterBegin(pcis->global_to_D,pcis->vec2_D,x,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1043     ierr = VecScatterEnd(pcis->global_to_D,pcis->vec2_D,x,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1044     if (ksp) {
1045       ierr = KSPSetInitialGuessNonzero(ksp,PETSC_TRUE);CHKERRQ(ierr);
1046     }
1047   }
1048 
1049   if (pcbddc->ChangeOfBasisMatrix) {
1050     PCBDDCChange_ctx change_ctx;
1051 
1052     /* get change ctx */
1053     ierr = MatShellGetContext(pcbddc->new_global_mat,&change_ctx);CHKERRQ(ierr);
1054 
1055     /* set current iteration matrix inside change context (change of basis has been already set into the ctx during PCSetUp) */
1056     ierr = MatDestroy(&change_ctx->original_mat);CHKERRQ(ierr);
1057     ierr = PetscObjectReference((PetscObject)pc->mat);CHKERRQ(ierr);
1058     change_ctx->original_mat = pc->mat;
1059 
1060     /* change iteration matrix */
1061     ierr = MatDestroy(&pc->mat);CHKERRQ(ierr);
1062     ierr = PetscObjectReference((PetscObject)pcbddc->new_global_mat);CHKERRQ(ierr);
1063     pc->mat = pcbddc->new_global_mat;
1064 
1065     /* store the original rhs */
1066     if (copy_rhs) {
1067       ierr = VecCopy(rhs,pcbddc->original_rhs);CHKERRQ(ierr);
1068       copy_rhs = PETSC_FALSE;
1069     }
1070 
1071     /* change rhs */
1072     ierr = MatMultTranspose(change_ctx->global_change,rhs,pcis->vec1_global);CHKERRQ(ierr);
1073     ierr = VecCopy(pcis->vec1_global,rhs);CHKERRQ(ierr);
1074     pcbddc->rhs_change = PETSC_TRUE;
1075   }
1076 
1077   /* remove nullspace if present */
1078   if (ksp && x && pcbddc->NullSpace) {
1079     ierr = MatNullSpaceRemove(pcbddc->NullSpace,x);CHKERRQ(ierr);
1080     /* store the original rhs */
1081     if (copy_rhs) {
1082       ierr = VecCopy(rhs,pcbddc->original_rhs);CHKERRQ(ierr);
1083       copy_rhs = PETSC_FALSE;
1084     }
1085     pcbddc->rhs_change = PETSC_TRUE;
1086     ierr = MatNullSpaceRemove(pcbddc->NullSpace,rhs);CHKERRQ(ierr);
1087   }
1088   PetscFunctionReturn(0);
1089 }
1090 
1091 /* -------------------------------------------------------------------------- */
1092 #undef __FUNCT__
1093 #define __FUNCT__ "PCPostSolve_BDDC"
1094 /* -------------------------------------------------------------------------- */
1095 /*
1096    PCPostSolve_BDDC - Changes the computed solution if a transformation of basis
1097                      approach has been selected. Also, restores rhs to its original state.
1098 
1099    Input Parameter:
1100 +  pc - the preconditioner contex
1101 
1102    Application Interface Routine: PCPostSolve()
1103 
1104    Notes:
1105    The interface routine PCPostSolve() is not usually called directly by
1106    the user, but instead is called by KSPSolve().
1107 */
1108 static PetscErrorCode PCPostSolve_BDDC(PC pc, KSP ksp, Vec rhs, Vec x)
1109 {
1110   PetscErrorCode ierr;
1111   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
1112 
1113   PetscFunctionBegin;
1114   if (pcbddc->ChangeOfBasisMatrix) {
1115     PCBDDCChange_ctx change_ctx;
1116 
1117     /* get change ctx */
1118     ierr = MatShellGetContext(pcbddc->new_global_mat,&change_ctx);CHKERRQ(ierr);
1119 
1120     /* restore iteration matrix */
1121     ierr = MatDestroy(&pc->mat);CHKERRQ(ierr);
1122     ierr = PetscObjectReference((PetscObject)change_ctx->original_mat);CHKERRQ(ierr);
1123     pc->mat = change_ctx->original_mat;
1124 
1125     /* get solution in original basis */
1126     if (x) {
1127       PC_IS *pcis = (PC_IS*)(pc->data);
1128       ierr = MatMult(change_ctx->global_change,x,pcis->vec1_global);CHKERRQ(ierr);
1129       ierr = VecCopy(pcis->vec1_global,x);CHKERRQ(ierr);
1130     }
1131   }
1132 
1133   /* add solution removed in presolve */
1134   if (x && pcbddc->rhs_change) {
1135     ierr = VecAXPY(x,1.0,pcbddc->temp_solution);CHKERRQ(ierr);
1136   }
1137 
1138   /* restore rhs to its original state */
1139   if (rhs && pcbddc->rhs_change) {
1140     ierr = VecCopy(pcbddc->original_rhs,rhs);CHKERRQ(ierr);
1141   }
1142   pcbddc->rhs_change = PETSC_FALSE;
1143 
1144   /* restore ksp guess state */
1145   if (ksp) {
1146     ierr = KSPSetInitialGuessNonzero(ksp,pcbddc->ksp_guess_nonzero);CHKERRQ(ierr);
1147   }
1148   PetscFunctionReturn(0);
1149 }
1150 /* -------------------------------------------------------------------------- */
1151 #undef __FUNCT__
1152 #define __FUNCT__ "PCSetUp_BDDC"
1153 /* -------------------------------------------------------------------------- */
1154 /*
1155    PCSetUp_BDDC - Prepares for the use of the BDDC preconditioner
1156                   by setting data structures and options.
1157 
1158    Input Parameter:
1159 +  pc - the preconditioner context
1160 
1161    Application Interface Routine: PCSetUp()
1162 
1163    Notes:
1164    The interface routine PCSetUp() is not usually called directly by
1165    the user, but instead is called by PCApply() if necessary.
1166 */
1167 PetscErrorCode PCSetUp_BDDC(PC pc)
1168 {
1169   PetscErrorCode ierr;
1170   PC_BDDC*       pcbddc = (PC_BDDC*)pc->data;
1171   Mat_IS*        matis;
1172   MatNullSpace   nearnullspace;
1173   PetscBool      computetopography,computesolvers,computesubschurs;
1174   PetscBool      computeconstraintsmatrix;
1175   PetscBool      new_nearnullspace_provided,ismatis;
1176 
1177   PetscFunctionBegin;
1178   ierr = PetscObjectTypeCompare((PetscObject)pc->pmat,MATIS,&ismatis);CHKERRQ(ierr);
1179   if (!ismatis) {
1180     SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_ARG_WRONG,"PCBDDC preconditioner requires matrix of type MATIS");
1181   }
1182   matis = (Mat_IS*)pc->pmat->data;
1183   /* the following lines of code should be replaced by a better logic between PCIS, PCNN, PCBDDC and other future nonoverlapping preconditioners */
1184   /* For BDDC we need to define a local "Neumann" problem different to that defined in PCISSetup
1185      Also, BDDC directly build the Dirichlet problem */
1186   /* split work */
1187   if (pc->setupcalled) {
1188     if (pc->flag == SAME_NONZERO_PATTERN) {
1189       computetopography = PETSC_FALSE;
1190       computesolvers = PETSC_TRUE;
1191     } else { /* DIFFERENT_NONZERO_PATTERN */
1192       computetopography = PETSC_TRUE;
1193       computesolvers = PETSC_TRUE;
1194     }
1195   } else {
1196     computetopography = PETSC_TRUE;
1197     computesolvers = PETSC_TRUE;
1198   }
1199   if (pcbddc->recompute_topography) {
1200     computetopography = PETSC_TRUE;
1201   }
1202   computeconstraintsmatrix = PETSC_FALSE;
1203   if (pcbddc->adaptive_threshold > 0.0 && !pcbddc->use_deluxe_scaling) {
1204     SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Cannot compute adaptive constraints without deluxe scaling. Rerun with -pc_bddc_use_deluxe_scaling");
1205   }
1206   pcbddc->adaptive_selection = (PetscBool)(pcbddc->adaptive_threshold > 0.0 && pcbddc->use_deluxe_scaling);
1207   computesubschurs = (PetscBool)(pcbddc->adaptive_selection || pcbddc->use_deluxe_scaling);
1208 
1209   /* Get stdout for dbg */
1210   if (pcbddc->dbg_flag) {
1211     if (!pcbddc->dbg_viewer) {
1212       pcbddc->dbg_viewer = PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)pc));
1213       ierr = PetscViewerASCIISynchronizedAllow(pcbddc->dbg_viewer,PETSC_TRUE);CHKERRQ(ierr);
1214     }
1215     ierr = PetscViewerASCIIAddTab(pcbddc->dbg_viewer,2*pcbddc->current_level);CHKERRQ(ierr);
1216   }
1217 
1218   /*ierr = MatIsSymmetric(pc->pmat,0.,&pcbddc->issym);CHKERRQ(ierr);*/
1219   { /* this is a temporary workaround since seqbaij matrices does not have support for symmetry checking */
1220     PetscBool setsym;
1221     ierr = MatIsSymmetricKnown(pc->pmat,&setsym,&pcbddc->issym);CHKERRQ(ierr);
1222     if (!setsym) pcbddc->issym = PETSC_FALSE;
1223   }
1224 
1225   if (pcbddc->user_ChangeOfBasisMatrix) {
1226     /* use_change_of_basis flag is used to automatically compute a change of basis from constraints */
1227     pcbddc->use_change_of_basis = PETSC_FALSE;
1228     ierr = PCBDDCComputeLocalMatrix(pc,pcbddc->user_ChangeOfBasisMatrix);CHKERRQ(ierr);
1229   } else {
1230     ierr = MatDestroy(&pcbddc->local_mat);CHKERRQ(ierr);
1231     ierr = PetscObjectReference((PetscObject)matis->A);CHKERRQ(ierr);
1232     pcbddc->local_mat = matis->A;
1233   }
1234 
1235   /* workaround for reals */
1236 #if !defined(PETSC_USE_COMPLEX)
1237   ierr = MatSetOption(pcbddc->local_mat,MAT_HERMITIAN,pcbddc->issym);CHKERRQ(ierr);
1238 #endif
1239 
1240   /* Set up all the "iterative substructuring" common block without computing solvers */
1241   {
1242     Mat temp_mat;
1243 
1244     temp_mat = matis->A;
1245     matis->A = pcbddc->local_mat;
1246     ierr = PCISSetUp(pc,PETSC_FALSE);CHKERRQ(ierr);
1247     pcbddc->local_mat = matis->A;
1248     matis->A = temp_mat;
1249   }
1250 
1251   /* Analyze interface and setup sub_schurs data */
1252   if (computetopography) {
1253     ierr = PCBDDCAnalyzeInterface(pc);CHKERRQ(ierr);
1254     computeconstraintsmatrix = PETSC_TRUE;
1255   }
1256 
1257   /* Setup local dirichlet solver ksp_D and sub_schurs solvers */
1258   if (computesolvers) {
1259     PCBDDCSubSchurs sub_schurs=pcbddc->sub_schurs;
1260 
1261     if (computesubschurs && computetopography) {
1262       ierr = PCBDDCInitSubSchurs(pc);CHKERRQ(ierr);
1263     }
1264     if (sub_schurs->use_mumps) {
1265       ierr = PCBDDCSetUpSubSchurs(pc);CHKERRQ(ierr);
1266       ierr = PCBDDCSetUpLocalSolvers(pc,PETSC_TRUE,PETSC_FALSE);CHKERRQ(ierr);
1267     } else {
1268       ierr = PCBDDCSetUpLocalSolvers(pc,PETSC_TRUE,PETSC_FALSE);CHKERRQ(ierr);
1269       ierr = PCBDDCSetUpSubSchurs(pc);CHKERRQ(ierr);
1270     }
1271     if (pcbddc->adaptive_selection) {
1272       ierr = PCBDDCAdaptiveSelection(pc);CHKERRQ(ierr);
1273       computeconstraintsmatrix = PETSC_TRUE;
1274     }
1275   }
1276 
1277   /* infer if NullSpace object attached to Mat via MatSetNearNullSpace has changed */
1278   new_nearnullspace_provided = PETSC_FALSE;
1279   ierr = MatGetNearNullSpace(pc->pmat,&nearnullspace);CHKERRQ(ierr);
1280   if (pcbddc->onearnullspace) { /* already used nearnullspace */
1281     if (!nearnullspace) { /* near null space attached to mat has been destroyed */
1282       new_nearnullspace_provided = PETSC_TRUE;
1283     } else {
1284       /* determine if the two nullspaces are different (should be lightweight) */
1285       if (nearnullspace != pcbddc->onearnullspace) {
1286         new_nearnullspace_provided = PETSC_TRUE;
1287       } else { /* maybe the user has changed the content of the nearnullspace so check vectors ObjectStateId */
1288         PetscInt         i;
1289         const Vec        *nearnullvecs;
1290         PetscObjectState state;
1291         PetscInt         nnsp_size;
1292         ierr = MatNullSpaceGetVecs(nearnullspace,NULL,&nnsp_size,&nearnullvecs);CHKERRQ(ierr);
1293         for (i=0;i<nnsp_size;i++) {
1294           ierr = PetscObjectStateGet((PetscObject)nearnullvecs[i],&state);CHKERRQ(ierr);
1295           if (pcbddc->onearnullvecs_state[i] != state) {
1296             new_nearnullspace_provided = PETSC_TRUE;
1297             break;
1298           }
1299         }
1300       }
1301     }
1302   } else {
1303     if (!nearnullspace) { /* both nearnullspaces are null */
1304       new_nearnullspace_provided = PETSC_FALSE;
1305     } else { /* nearnullspace attached later */
1306       new_nearnullspace_provided = PETSC_TRUE;
1307     }
1308   }
1309 
1310   /* Setup constraints and related work vectors */
1311   /* reset primal space flags */
1312   pcbddc->new_primal_space = PETSC_FALSE;
1313   pcbddc->new_primal_space_local = PETSC_FALSE;
1314   if (computeconstraintsmatrix || new_nearnullspace_provided) {
1315     /* It also sets the primal space flags */
1316     ierr = PCBDDCConstraintsSetUp(pc);CHKERRQ(ierr);
1317     /* Allocate needed local vectors (which depends on quantities defined during ConstraintsSetUp) */
1318     ierr = PCBDDCSetUpLocalWorkVectors(pc);CHKERRQ(ierr);
1319   }
1320 
1321   if (computesolvers || pcbddc->new_primal_space) {
1322     if (pcbddc->use_change_of_basis) {
1323       PC_IS *pcis = (PC_IS*)(pc->data);
1324 
1325       ierr = PCBDDCComputeLocalMatrix(pc,pcbddc->ChangeOfBasisMatrix);CHKERRQ(ierr);
1326       /* get submatrices */
1327       ierr = MatDestroy(&pcis->A_IB);CHKERRQ(ierr);
1328       ierr = MatDestroy(&pcis->A_BI);CHKERRQ(ierr);
1329       ierr = MatDestroy(&pcis->A_BB);CHKERRQ(ierr);
1330       ierr = MatGetSubMatrix(pcbddc->local_mat,pcis->is_B_local,pcis->is_B_local,MAT_INITIAL_MATRIX,&pcis->A_BB);CHKERRQ(ierr);
1331       ierr = MatGetSubMatrix(pcbddc->local_mat,pcis->is_I_local,pcis->is_B_local,MAT_INITIAL_MATRIX,&pcis->A_IB);CHKERRQ(ierr);
1332       ierr = MatGetSubMatrix(pcbddc->local_mat,pcis->is_B_local,pcis->is_I_local,MAT_INITIAL_MATRIX,&pcis->A_BI);CHKERRQ(ierr);
1333       /* set flag in pcis to not reuse submatrices during PCISCreate */
1334       pcis->reusesubmatrices = PETSC_FALSE;
1335     } else if (!pcbddc->user_ChangeOfBasisMatrix) {
1336       ierr = MatDestroy(&pcbddc->local_mat);CHKERRQ(ierr);
1337       ierr = PetscObjectReference((PetscObject)matis->A);CHKERRQ(ierr);
1338       pcbddc->local_mat = matis->A;
1339     }
1340     /* SetUp coarse and local Neumann solvers */
1341     ierr = PCBDDCSetUpSolvers(pc);CHKERRQ(ierr);
1342     /* SetUp Scaling operator */
1343     ierr = PCBDDCScalingSetUp(pc);CHKERRQ(ierr);
1344   }
1345 
1346   if (pcbddc->dbg_flag) {
1347     ierr = PetscViewerASCIISubtractTab(pcbddc->dbg_viewer,2*pcbddc->current_level);CHKERRQ(ierr);
1348   }
1349   PetscFunctionReturn(0);
1350 }
1351 
1352 /* -------------------------------------------------------------------------- */
1353 /*
1354    PCApply_BDDC - Applies the BDDC operator to a vector.
1355 
1356    Input Parameters:
1357 .  pc - the preconditioner context
1358 .  r - input vector (global)
1359 
1360    Output Parameter:
1361 .  z - output vector (global)
1362 
1363    Application Interface Routine: PCApply()
1364  */
1365 #undef __FUNCT__
1366 #define __FUNCT__ "PCApply_BDDC"
1367 PetscErrorCode PCApply_BDDC(PC pc,Vec r,Vec z)
1368 {
1369   PC_IS             *pcis = (PC_IS*)(pc->data);
1370   PC_BDDC           *pcbddc = (PC_BDDC*)(pc->data);
1371   PetscInt          n_B = pcis->n_B, n_D = pcis->n - n_B;
1372   PetscErrorCode    ierr;
1373   const PetscScalar one = 1.0;
1374   const PetscScalar m_one = -1.0;
1375   const PetscScalar zero = 0.0;
1376 
1377 /* This code is similar to that provided in nn.c for PCNN
1378    NN interface preconditioner changed to BDDC
1379    Added support for M_3 preconditioner in the reference article (code is active if pcbddc->switch_static == PETSC_TRUE) */
1380 
1381   PetscFunctionBegin;
1382   if (!pcbddc->use_exact_dirichlet_trick) {
1383     ierr = VecCopy(r,z);CHKERRQ(ierr);
1384     /* First Dirichlet solve */
1385     ierr = VecScatterBegin(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1386     ierr = VecScatterEnd(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1387     /*
1388       Assembling right hand side for BDDC operator
1389       - pcis->vec1_D for the Dirichlet part (if needed, i.e. pcbddc->switch_static == PETSC_TRUE)
1390       - pcis->vec1_B the interface part of the global vector z
1391     */
1392     if (n_D) {
1393       ierr = KSPSolve(pcbddc->ksp_D,pcis->vec1_D,pcis->vec2_D);CHKERRQ(ierr);
1394       ierr = VecScale(pcis->vec2_D,m_one);CHKERRQ(ierr);
1395       if (pcbddc->switch_static) { ierr = MatMultAdd(pcis->A_II,pcis->vec2_D,pcis->vec1_D,pcis->vec1_D);CHKERRQ(ierr); }
1396       ierr = MatMult(pcis->A_BI,pcis->vec2_D,pcis->vec1_B);CHKERRQ(ierr);
1397     } else {
1398       ierr = VecSet(pcis->vec1_B,zero);CHKERRQ(ierr);
1399     }
1400     ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1401     ierr = VecScatterEnd(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1402     ierr = PCBDDCScalingRestriction(pc,z,pcis->vec1_B);CHKERRQ(ierr);
1403   } else {
1404     if (pcbddc->switch_static) {
1405       ierr = VecSet(pcis->vec1_D,zero);CHKERRQ(ierr);
1406     }
1407     ierr = PCBDDCScalingRestriction(pc,r,pcis->vec1_B);CHKERRQ(ierr);
1408   }
1409 
1410   /* Apply interface preconditioner
1411      input/output vecs: pcis->vec1_B and pcis->vec1_D */
1412   ierr = PCBDDCApplyInterfacePreconditioner(pc,PETSC_FALSE);CHKERRQ(ierr);
1413 
1414   /* Apply transpose of partition of unity operator */
1415   ierr = PCBDDCScalingExtension(pc,pcis->vec1_B,z);CHKERRQ(ierr);
1416 
1417   /* Second Dirichlet solve and assembling of output */
1418   ierr = VecScatterBegin(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1419   ierr = VecScatterEnd(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1420   if (n_B) {
1421     ierr = MatMult(pcis->A_IB,pcis->vec1_B,pcis->vec3_D);CHKERRQ(ierr);
1422     if (pcbddc->switch_static) { ierr = MatMultAdd(pcis->A_II,pcis->vec1_D,pcis->vec3_D,pcis->vec3_D);CHKERRQ(ierr); }
1423   } else if (pcbddc->switch_static) {
1424     ierr = MatMult(pcis->A_II,pcis->vec1_D,pcis->vec3_D);CHKERRQ(ierr);
1425   }
1426   ierr = KSPSolve(pcbddc->ksp_D,pcis->vec3_D,pcis->vec4_D);CHKERRQ(ierr);
1427   if (!pcbddc->use_exact_dirichlet_trick) {
1428     if (pcbddc->switch_static) {
1429       ierr = VecAXPBYPCZ(pcis->vec2_D,m_one,one,m_one,pcis->vec4_D,pcis->vec1_D);CHKERRQ(ierr);
1430     } else {
1431       ierr = VecAXPBY(pcis->vec2_D,m_one,m_one,pcis->vec4_D);CHKERRQ(ierr);
1432     }
1433     ierr = VecScatterBegin(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1434     ierr = VecScatterEnd(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1435   } else {
1436     if (pcbddc->switch_static) {
1437       ierr = VecAXPBY(pcis->vec4_D,one,m_one,pcis->vec1_D);CHKERRQ(ierr);
1438     } else {
1439       ierr = VecScale(pcis->vec4_D,m_one);CHKERRQ(ierr);
1440     }
1441     ierr = VecScatterBegin(pcis->global_to_D,pcis->vec4_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1442     ierr = VecScatterEnd(pcis->global_to_D,pcis->vec4_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1443   }
1444   PetscFunctionReturn(0);
1445 }
1446 
1447 /* -------------------------------------------------------------------------- */
1448 /*
1449    PCApplyTranspose_BDDC - Applies the transpose of the BDDC operator to a vector.
1450 
1451    Input Parameters:
1452 .  pc - the preconditioner context
1453 .  r - input vector (global)
1454 
1455    Output Parameter:
1456 .  z - output vector (global)
1457 
1458    Application Interface Routine: PCApplyTranspose()
1459  */
1460 #undef __FUNCT__
1461 #define __FUNCT__ "PCApplyTranspose_BDDC"
1462 PetscErrorCode PCApplyTranspose_BDDC(PC pc,Vec r,Vec z)
1463 {
1464   PC_IS             *pcis = (PC_IS*)(pc->data);
1465   PC_BDDC           *pcbddc = (PC_BDDC*)(pc->data);
1466   PetscInt          n_B = pcis->n_B, n_D = pcis->n - n_B;
1467   PetscErrorCode    ierr;
1468   const PetscScalar one = 1.0;
1469   const PetscScalar m_one = -1.0;
1470   const PetscScalar zero = 0.0;
1471 
1472   PetscFunctionBegin;
1473   if (!pcbddc->use_exact_dirichlet_trick) {
1474     ierr = VecCopy(r,z);CHKERRQ(ierr);
1475     /* First Dirichlet solve */
1476     ierr = VecScatterBegin(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1477     ierr = VecScatterEnd(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1478     /*
1479       Assembling right hand side for BDDC operator
1480       - pcis->vec1_D for the Dirichlet part (if needed, i.e. pcbddc->switch_static == PETSC_TRUE)
1481       - pcis->vec1_B the interface part of the global vector z
1482     */
1483     if (n_D) {
1484       ierr = KSPSolveTranspose(pcbddc->ksp_D,pcis->vec1_D,pcis->vec2_D);CHKERRQ(ierr);
1485       ierr = VecScale(pcis->vec2_D,m_one);CHKERRQ(ierr);
1486       if (pcbddc->switch_static) { ierr = MatMultTransposeAdd(pcis->A_II,pcis->vec2_D,pcis->vec1_D,pcis->vec1_D);CHKERRQ(ierr); }
1487       ierr = MatMultTranspose(pcis->A_IB,pcis->vec2_D,pcis->vec1_B);CHKERRQ(ierr);
1488     } else {
1489       ierr = VecSet(pcis->vec1_B,zero);CHKERRQ(ierr);
1490     }
1491     ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1492     ierr = VecScatterEnd(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1493     ierr = PCBDDCScalingRestriction(pc,z,pcis->vec1_B);CHKERRQ(ierr);
1494   } else {
1495     if (pcbddc->switch_static) {
1496       ierr = VecSet(pcis->vec1_D,zero);CHKERRQ(ierr);
1497     }
1498     ierr = PCBDDCScalingRestriction(pc,r,pcis->vec1_B);CHKERRQ(ierr);
1499   }
1500 
1501   /* Apply interface preconditioner
1502      input/output vecs: pcis->vec1_B and pcis->vec1_D */
1503   ierr = PCBDDCApplyInterfacePreconditioner(pc,PETSC_TRUE);CHKERRQ(ierr);
1504 
1505   /* Apply transpose of partition of unity operator */
1506   ierr = PCBDDCScalingExtension(pc,pcis->vec1_B,z);CHKERRQ(ierr);
1507 
1508   /* Second Dirichlet solve and assembling of output */
1509   ierr = VecScatterBegin(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1510   ierr = VecScatterEnd(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1511   if (n_B) {
1512     ierr = MatMultTranspose(pcis->A_BI,pcis->vec1_B,pcis->vec3_D);CHKERRQ(ierr);
1513     if (pcbddc->switch_static) { ierr = MatMultTransposeAdd(pcis->A_II,pcis->vec1_D,pcis->vec3_D,pcis->vec3_D);CHKERRQ(ierr); }
1514   } else if (pcbddc->switch_static) {
1515     ierr = MatMultTranspose(pcis->A_II,pcis->vec1_D,pcis->vec3_D);CHKERRQ(ierr);
1516   }
1517   ierr = KSPSolveTranspose(pcbddc->ksp_D,pcis->vec3_D,pcis->vec4_D);CHKERRQ(ierr);
1518   if (!pcbddc->use_exact_dirichlet_trick) {
1519     if (pcbddc->switch_static) {
1520       ierr = VecAXPBYPCZ(pcis->vec2_D,m_one,one,m_one,pcis->vec4_D,pcis->vec1_D);CHKERRQ(ierr);
1521     } else {
1522       ierr = VecAXPBY(pcis->vec2_D,m_one,m_one,pcis->vec4_D);CHKERRQ(ierr);
1523     }
1524     ierr = VecScatterBegin(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1525     ierr = VecScatterEnd(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1526   } else {
1527     if (pcbddc->switch_static) {
1528       ierr = VecAXPBY(pcis->vec4_D,one,m_one,pcis->vec1_D);CHKERRQ(ierr);
1529     } else {
1530       ierr = VecScale(pcis->vec4_D,m_one);CHKERRQ(ierr);
1531     }
1532     ierr = VecScatterBegin(pcis->global_to_D,pcis->vec4_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1533     ierr = VecScatterEnd(pcis->global_to_D,pcis->vec4_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1534   }
1535   PetscFunctionReturn(0);
1536 }
1537 /* -------------------------------------------------------------------------- */
1538 
1539 #undef __FUNCT__
1540 #define __FUNCT__ "PCDestroy_BDDC"
1541 PetscErrorCode PCDestroy_BDDC(PC pc)
1542 {
1543   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
1544   PetscErrorCode ierr;
1545 
1546   PetscFunctionBegin;
1547   /* free data created by PCIS */
1548   ierr = PCISDestroy(pc);CHKERRQ(ierr);
1549   /* free BDDC custom data  */
1550   ierr = PCBDDCResetCustomization(pc);CHKERRQ(ierr);
1551   /* destroy objects related to topography */
1552   ierr = PCBDDCResetTopography(pc);CHKERRQ(ierr);
1553   /* free allocated graph structure */
1554   ierr = PetscFree(pcbddc->mat_graph);CHKERRQ(ierr);
1555   /* free allocated sub schurs structure */
1556   ierr = PetscFree(pcbddc->sub_schurs);CHKERRQ(ierr);
1557   /* destroy objects for scaling operator */
1558   ierr = PCBDDCScalingDestroy(pc);CHKERRQ(ierr);
1559   ierr = PetscFree(pcbddc->deluxe_ctx);CHKERRQ(ierr);
1560   /* free solvers stuff */
1561   ierr = PCBDDCResetSolvers(pc);CHKERRQ(ierr);
1562   /* free global vectors needed in presolve */
1563   ierr = VecDestroy(&pcbddc->temp_solution);CHKERRQ(ierr);
1564   ierr = VecDestroy(&pcbddc->original_rhs);CHKERRQ(ierr);
1565   /* free stuff for change of basis hooks */
1566   if (pcbddc->new_global_mat) {
1567     PCBDDCChange_ctx change_ctx;
1568     ierr = MatShellGetContext(pcbddc->new_global_mat,&change_ctx);CHKERRQ(ierr);
1569     ierr = MatDestroy(&change_ctx->original_mat);CHKERRQ(ierr);
1570     ierr = MatDestroy(&change_ctx->global_change);CHKERRQ(ierr);
1571     ierr = VecDestroyVecs(2,&change_ctx->work);CHKERRQ(ierr);
1572     ierr = PetscFree(change_ctx);CHKERRQ(ierr);
1573   }
1574   ierr = MatDestroy(&pcbddc->new_global_mat);CHKERRQ(ierr);
1575   /* remove functions */
1576   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetChangeOfBasisMat_C",NULL);CHKERRQ(ierr);
1577   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetPrimalVerticesLocalIS_C",NULL);CHKERRQ(ierr);
1578   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetCoarseningRatio_C",NULL);CHKERRQ(ierr);
1579   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevel_C",NULL);CHKERRQ(ierr);
1580   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetUseExactDirichlet_C",NULL);CHKERRQ(ierr);
1581   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevels_C",NULL);CHKERRQ(ierr);
1582   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNullSpace_C",NULL);CHKERRQ(ierr);
1583   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundaries_C",NULL);CHKERRQ(ierr);
1584   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundariesLocal_C",NULL);CHKERRQ(ierr);
1585   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundaries_C",NULL);CHKERRQ(ierr);
1586   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundariesLocal_C",NULL);CHKERRQ(ierr);
1587   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundaries_C",NULL);CHKERRQ(ierr);
1588   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundariesLocal_C",NULL);CHKERRQ(ierr);
1589   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundaries_C",NULL);CHKERRQ(ierr);
1590   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundariesLocal_C",NULL);CHKERRQ(ierr);
1591   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplitting_C",NULL);CHKERRQ(ierr);
1592   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplittingLocal_C",NULL);CHKERRQ(ierr);
1593   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLocalAdjacencyGraph_C",NULL);CHKERRQ(ierr);
1594   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCCreateFETIDPOperators_C",NULL);CHKERRQ(ierr);
1595   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetRHS_C",NULL);CHKERRQ(ierr);
1596   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetSolution_C",NULL);CHKERRQ(ierr);
1597   /* Free the private data structure */
1598   ierr = PetscFree(pc->data);CHKERRQ(ierr);
1599   PetscFunctionReturn(0);
1600 }
1601 /* -------------------------------------------------------------------------- */
1602 
1603 #undef __FUNCT__
1604 #define __FUNCT__ "PCBDDCMatFETIDPGetRHS_BDDC"
1605 static PetscErrorCode PCBDDCMatFETIDPGetRHS_BDDC(Mat fetidp_mat, Vec standard_rhs, Vec fetidp_flux_rhs)
1606 {
1607   FETIDPMat_ctx  mat_ctx;
1608   Vec            copy_standard_rhs;
1609   PC_IS*         pcis;
1610   PC_BDDC*       pcbddc;
1611   PetscErrorCode ierr;
1612 
1613   PetscFunctionBegin;
1614   ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr);
1615   pcis = (PC_IS*)mat_ctx->pc->data;
1616   pcbddc = (PC_BDDC*)mat_ctx->pc->data;
1617 
1618   /*
1619      change of basis for physical rhs if needed
1620      It also changes the rhs in case of dirichlet boundaries
1621      TODO: better management when FETIDP will have its own class
1622   */
1623   ierr = VecDuplicate(standard_rhs,&copy_standard_rhs);CHKERRQ(ierr);
1624   ierr = VecCopy(standard_rhs,copy_standard_rhs);CHKERRQ(ierr);
1625   ierr = PCPreSolve_BDDC(mat_ctx->pc,NULL,copy_standard_rhs,NULL);CHKERRQ(ierr);
1626   /* store vectors for computation of fetidp final solution */
1627   ierr = VecScatterBegin(pcis->global_to_D,copy_standard_rhs,mat_ctx->temp_solution_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1628   ierr = VecScatterEnd(pcis->global_to_D,copy_standard_rhs,mat_ctx->temp_solution_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1629   /* scale rhs since it should be unassembled */
1630   /* TODO use counter scaling? (also below) */
1631   ierr = VecScatterBegin(pcis->global_to_B,copy_standard_rhs,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1632   ierr = VecScatterEnd(pcis->global_to_B,copy_standard_rhs,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1633   /* Apply partition of unity */
1634   ierr = VecPointwiseMult(mat_ctx->temp_solution_B,pcis->D,mat_ctx->temp_solution_B);CHKERRQ(ierr);
1635   /* ierr = PCBDDCScalingRestriction(mat_ctx->pc,copy_standard_rhs,mat_ctx->temp_solution_B);CHKERRQ(ierr); */
1636   if (!pcbddc->switch_static) {
1637     /* compute partially subassembled Schur complement right-hand side */
1638     ierr = KSPSolve(pcbddc->ksp_D,mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr);
1639     ierr = MatMult(pcis->A_BI,pcis->vec1_D,pcis->vec1_B);CHKERRQ(ierr);
1640     ierr = VecAXPY(mat_ctx->temp_solution_B,-1.0,pcis->vec1_B);CHKERRQ(ierr);
1641     ierr = VecSet(copy_standard_rhs,0.0);CHKERRQ(ierr);
1642     ierr = VecScatterBegin(pcis->global_to_B,mat_ctx->temp_solution_B,copy_standard_rhs,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1643     ierr = VecScatterEnd(pcis->global_to_B,mat_ctx->temp_solution_B,copy_standard_rhs,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1644     /* ierr = PCBDDCScalingRestriction(mat_ctx->pc,copy_standard_rhs,mat_ctx->temp_solution_B);CHKERRQ(ierr); */
1645     ierr = VecScatterBegin(pcis->global_to_B,copy_standard_rhs,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1646     ierr = VecScatterEnd(pcis->global_to_B,copy_standard_rhs,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1647     ierr = VecPointwiseMult(mat_ctx->temp_solution_B,pcis->D,mat_ctx->temp_solution_B);CHKERRQ(ierr);
1648   }
1649   ierr = VecDestroy(&copy_standard_rhs);CHKERRQ(ierr);
1650   /* BDDC rhs */
1651   ierr = VecCopy(mat_ctx->temp_solution_B,pcis->vec1_B);CHKERRQ(ierr);
1652   if (pcbddc->switch_static) {
1653     ierr = VecCopy(mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr);
1654   }
1655   /* apply BDDC */
1656   ierr = PCBDDCApplyInterfacePreconditioner(mat_ctx->pc,PETSC_FALSE);CHKERRQ(ierr);
1657   /* Application of B_delta and assembling of rhs for fetidp fluxes */
1658   ierr = VecSet(fetidp_flux_rhs,0.0);CHKERRQ(ierr);
1659   ierr = MatMult(mat_ctx->B_delta,pcis->vec1_B,mat_ctx->lambda_local);CHKERRQ(ierr);
1660   ierr = VecScatterBegin(mat_ctx->l2g_lambda,mat_ctx->lambda_local,fetidp_flux_rhs,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1661   ierr = VecScatterEnd(mat_ctx->l2g_lambda,mat_ctx->lambda_local,fetidp_flux_rhs,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1662   PetscFunctionReturn(0);
1663 }
1664 
1665 #undef __FUNCT__
1666 #define __FUNCT__ "PCBDDCMatFETIDPGetRHS"
1667 /*@
1668  PCBDDCMatFETIDPGetRHS - Compute the right-hand side for FETIDP linear system
1669 
1670    Collective
1671 
1672    Input Parameters:
1673 +  fetidp_mat   - the FETIDP matrix object obtained by calling PCBDDCCreateFETIDPOperators
1674 .  standard_rhs - the right-hand side for your linear system
1675 
1676    Output Parameters:
1677 -  fetidp_flux_rhs   - the right-hand side for the FETIDP linear system
1678 
1679    Level: developer
1680 
1681    Notes:
1682 
1683 .seealso: PCBDDC,PCBDDCCreateFETIDPOperators
1684 @*/
1685 PetscErrorCode PCBDDCMatFETIDPGetRHS(Mat fetidp_mat, Vec standard_rhs, Vec fetidp_flux_rhs)
1686 {
1687   FETIDPMat_ctx  mat_ctx;
1688   PetscErrorCode ierr;
1689 
1690   PetscFunctionBegin;
1691   ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr);
1692   ierr = PetscTryMethod(mat_ctx->pc,"PCBDDCMatFETIDPGetRHS_C",(Mat,Vec,Vec),(fetidp_mat,standard_rhs,fetidp_flux_rhs));CHKERRQ(ierr);
1693   PetscFunctionReturn(0);
1694 }
1695 /* -------------------------------------------------------------------------- */
1696 
1697 #undef __FUNCT__
1698 #define __FUNCT__ "PCBDDCMatFETIDPGetSolution_BDDC"
1699 static PetscErrorCode PCBDDCMatFETIDPGetSolution_BDDC(Mat fetidp_mat, Vec fetidp_flux_sol, Vec standard_sol)
1700 {
1701   FETIDPMat_ctx  mat_ctx;
1702   PC_IS*         pcis;
1703   PC_BDDC*       pcbddc;
1704   PetscErrorCode ierr;
1705 
1706   PetscFunctionBegin;
1707   ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr);
1708   pcis = (PC_IS*)mat_ctx->pc->data;
1709   pcbddc = (PC_BDDC*)mat_ctx->pc->data;
1710 
1711   /* apply B_delta^T */
1712   ierr = VecScatterBegin(mat_ctx->l2g_lambda,fetidp_flux_sol,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1713   ierr = VecScatterEnd  (mat_ctx->l2g_lambda,fetidp_flux_sol,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1714   ierr = MatMultTranspose(mat_ctx->B_delta,mat_ctx->lambda_local,pcis->vec1_B);CHKERRQ(ierr);
1715   /* compute rhs for BDDC application */
1716   ierr = VecAYPX(pcis->vec1_B,-1.0,mat_ctx->temp_solution_B);CHKERRQ(ierr);
1717   if (pcbddc->switch_static) {
1718     ierr = VecCopy(mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr);
1719   }
1720   /* apply BDDC */
1721   ierr = PCBDDCApplyInterfacePreconditioner(mat_ctx->pc,PETSC_FALSE);CHKERRQ(ierr);
1722   /* put values into standard global vector */
1723   ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_B,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1724   ierr = VecScatterEnd  (pcis->global_to_B,pcis->vec1_B,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1725   if (!pcbddc->switch_static) {
1726     /* compute values into the interior if solved for the partially subassembled Schur complement */
1727     ierr = MatMult(pcis->A_IB,pcis->vec1_B,pcis->vec1_D);CHKERRQ(ierr);
1728     ierr = VecAXPY(mat_ctx->temp_solution_D,-1.0,pcis->vec1_D);CHKERRQ(ierr);
1729     ierr = KSPSolve(pcbddc->ksp_D,mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr);
1730   }
1731   ierr = VecScatterBegin(pcis->global_to_D,pcis->vec1_D,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1732   ierr = VecScatterEnd  (pcis->global_to_D,pcis->vec1_D,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1733   /* final change of basis if needed
1734      Is also sums the dirichlet part removed during RHS assembling */
1735   ierr = PCPostSolve_BDDC(mat_ctx->pc,NULL,NULL,standard_sol);CHKERRQ(ierr);
1736   PetscFunctionReturn(0);
1737 }
1738 
1739 #undef __FUNCT__
1740 #define __FUNCT__ "PCBDDCMatFETIDPGetSolution"
1741 /*@
1742  PCBDDCMatFETIDPGetSolution - Compute the physical solution from the solution of the FETIDP linear system
1743 
1744    Collective
1745 
1746    Input Parameters:
1747 +  fetidp_mat        - the FETIDP matrix obtained by calling PCBDDCCreateFETIDPOperators
1748 .  fetidp_flux_sol - the solution of the FETIDP linear system
1749 
1750    Output Parameters:
1751 -  standard_sol      - the solution defined on the physical domain
1752 
1753    Level: developer
1754 
1755    Notes:
1756 
1757 .seealso: PCBDDC,PCBDDCCreateFETIDPOperators
1758 @*/
1759 PetscErrorCode PCBDDCMatFETIDPGetSolution(Mat fetidp_mat, Vec fetidp_flux_sol, Vec standard_sol)
1760 {
1761   FETIDPMat_ctx  mat_ctx;
1762   PetscErrorCode ierr;
1763 
1764   PetscFunctionBegin;
1765   ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr);
1766   ierr = PetscTryMethod(mat_ctx->pc,"PCBDDCMatFETIDPGetSolution_C",(Mat,Vec,Vec),(fetidp_mat,fetidp_flux_sol,standard_sol));CHKERRQ(ierr);
1767   PetscFunctionReturn(0);
1768 }
1769 /* -------------------------------------------------------------------------- */
1770 
1771 extern PetscErrorCode FETIDPMatMult(Mat,Vec,Vec);
1772 extern PetscErrorCode FETIDPMatMultTranspose(Mat,Vec,Vec);
1773 extern PetscErrorCode PCBDDCDestroyFETIDPMat(Mat);
1774 extern PetscErrorCode FETIDPPCApply(PC,Vec,Vec);
1775 extern PetscErrorCode FETIDPPCApplyTranspose(PC,Vec,Vec);
1776 extern PetscErrorCode PCBDDCDestroyFETIDPPC(PC);
1777 
1778 #undef __FUNCT__
1779 #define __FUNCT__ "PCBDDCCreateFETIDPOperators_BDDC"
1780 static PetscErrorCode PCBDDCCreateFETIDPOperators_BDDC(PC pc, Mat *fetidp_mat, PC *fetidp_pc)
1781 {
1782 
1783   FETIDPMat_ctx  fetidpmat_ctx;
1784   Mat            newmat;
1785   FETIDPPC_ctx   fetidppc_ctx;
1786   PC             newpc;
1787   MPI_Comm       comm;
1788   PetscErrorCode ierr;
1789 
1790   PetscFunctionBegin;
1791   ierr = PetscObjectGetComm((PetscObject)pc,&comm);CHKERRQ(ierr);
1792   /* FETIDP linear matrix */
1793   ierr = PCBDDCCreateFETIDPMatContext(pc,&fetidpmat_ctx);CHKERRQ(ierr);
1794   ierr = PCBDDCSetupFETIDPMatContext(fetidpmat_ctx);CHKERRQ(ierr);
1795   ierr = MatCreateShell(comm,PETSC_DECIDE,PETSC_DECIDE,fetidpmat_ctx->n_lambda,fetidpmat_ctx->n_lambda,fetidpmat_ctx,&newmat);CHKERRQ(ierr);
1796   ierr = MatShellSetOperation(newmat,MATOP_MULT,(void (*)(void))FETIDPMatMult);CHKERRQ(ierr);
1797   ierr = MatShellSetOperation(newmat,MATOP_MULT_TRANSPOSE,(void (*)(void))FETIDPMatMultTranspose);CHKERRQ(ierr);
1798   ierr = MatShellSetOperation(newmat,MATOP_DESTROY,(void (*)(void))PCBDDCDestroyFETIDPMat);CHKERRQ(ierr);
1799   ierr = MatSetUp(newmat);CHKERRQ(ierr);
1800   /* FETIDP preconditioner */
1801   ierr = PCBDDCCreateFETIDPPCContext(pc,&fetidppc_ctx);CHKERRQ(ierr);
1802   ierr = PCBDDCSetupFETIDPPCContext(newmat,fetidppc_ctx);CHKERRQ(ierr);
1803   ierr = PCCreate(comm,&newpc);CHKERRQ(ierr);
1804   ierr = PCSetType(newpc,PCSHELL);CHKERRQ(ierr);
1805   ierr = PCShellSetContext(newpc,fetidppc_ctx);CHKERRQ(ierr);
1806   ierr = PCShellSetApply(newpc,FETIDPPCApply);CHKERRQ(ierr);
1807   ierr = PCShellSetApplyTranspose(newpc,FETIDPPCApplyTranspose);CHKERRQ(ierr);
1808   ierr = PCShellSetDestroy(newpc,PCBDDCDestroyFETIDPPC);CHKERRQ(ierr);
1809   ierr = PCSetOperators(newpc,newmat,newmat);CHKERRQ(ierr);
1810   ierr = PCSetUp(newpc);CHKERRQ(ierr);
1811   /* return pointers for objects created */
1812   *fetidp_mat=newmat;
1813   *fetidp_pc=newpc;
1814   PetscFunctionReturn(0);
1815 }
1816 
1817 #undef __FUNCT__
1818 #define __FUNCT__ "PCBDDCCreateFETIDPOperators"
1819 /*@
1820  PCBDDCCreateFETIDPOperators - Create operators for FETIDP
1821 
1822    Collective
1823 
1824    Input Parameters:
1825 +  pc - the BDDC preconditioning context already setup
1826 
1827    Output Parameters:
1828 .  fetidp_mat - shell FETIDP matrix object
1829 .  fetidp_pc  - shell Dirichlet preconditioner for FETIDP matrix
1830 
1831    Options Database Keys:
1832 -    -fetidp_fullyredundant: use or not a fully redundant set of Lagrange multipliers
1833 
1834    Level: developer
1835 
1836    Notes:
1837      Currently the only operation provided for FETIDP matrix is MatMult
1838 
1839 .seealso: PCBDDC
1840 @*/
1841 PetscErrorCode PCBDDCCreateFETIDPOperators(PC pc, Mat *fetidp_mat, PC *fetidp_pc)
1842 {
1843   PetscErrorCode ierr;
1844 
1845   PetscFunctionBegin;
1846   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
1847   if (pc->setupcalled) {
1848     ierr = PetscUseMethod(pc,"PCBDDCCreateFETIDPOperators_C",(PC,Mat*,PC*),(pc,fetidp_mat,fetidp_pc));CHKERRQ(ierr);
1849   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"You must call PCSetup_BDDC() first \n");
1850   PetscFunctionReturn(0);
1851 }
1852 /* -------------------------------------------------------------------------- */
1853 /*MC
1854    PCBDDC - Balancing Domain Decomposition by Constraints.
1855 
1856    An implementation of the BDDC preconditioner based on
1857 
1858 .vb
1859    [1] C. R. Dohrmann. "An approximate BDDC preconditioner", Numerical Linear Algebra with Applications Volume 14, Issue 2, pages 149-168, March 2007
1860    [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
1861    [3] J. Mandel, B. Sousedik, C. R. Dohrmann. "Multispace and Multilevel BDDC", http://arxiv.org/abs/0712.3977
1862 .ve
1863 
1864    The matrix to be preconditioned (Pmat) must be of type MATIS.
1865 
1866    Currently works with MATIS matrices with local Neumann matrices of type MATSEQAIJ, MATSEQBAIJ or MATSEQSBAIJ, either with real or complex numbers.
1867 
1868    It also works with unsymmetric and indefinite problems.
1869 
1870    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.
1871 
1872    Approximate local solvers are automatically adapted for singular linear problems (see [1]) if the user has provided the nullspace using PCBDDCSetNullSpace
1873 
1874    Boundary nodes are split in vertices, edges and faces 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()
1875 
1876    Constraints can be customized by attaching a MatNullSpace object to the MATIS matrix via MatSetNearNullSpace().
1877 
1878    Change of basis is performed similarly to [2] when requested. When more the 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.
1879 
1880    The PETSc implementation also supports multilevel BDDC [3]. Coarse grids are partitioned using MatPartitioning object.
1881 
1882    Options Database Keys:
1883 
1884 .    -pc_bddc_use_vertices <1> - use or not vertices in primal space
1885 .    -pc_bddc_use_edges <1> - use or not edges in primal space
1886 .    -pc_bddc_use_faces <0> - use or not faces in primal space
1887 .    -pc_bddc_use_change_of_basis <0> - use change of basis approach (on edges only)
1888 .    -pc_bddc_use_change_on_faces <0> - use change of basis approach on faces if change of basis has been requested
1889 .    -pc_bddc_switch_static <0> - switches from M_2 to M_3 operator (see reference article [1])
1890 .    -pc_bddc_levels <0> - maximum number of levels for multilevel
1891 .    -pc_bddc_coarsening_ratio - H/h ratio at the coarser level
1892 -    -pc_bddc_check_level <0> - set verbosity level of debugging output
1893 
1894    Options for Dirichlet, Neumann or coarse solver can be set with
1895 .vb
1896       -pc_bddc_dirichlet_
1897       -pc_bddc_neumann_
1898       -pc_bddc_coarse_
1899 .ve
1900    e.g -pc_bddc_dirichlet_ksp_type richardson -pc_bddc_dirichlet_pc_type gamg
1901 
1902    When using a multilevel approach, solvers' options at the N-th level can be specified as
1903 .vb
1904       -pc_bddc_dirichlet_lN_
1905       -pc_bddc_neumann_lN_
1906       -pc_bddc_coarse_lN_
1907 .ve
1908    Note that level number ranges from the finest 0 to the coarsest N.
1909 
1910    Level: intermediate
1911 
1912    Developer notes:
1913 
1914    New deluxe scaling operator will be available soon.
1915 
1916    Contributed by Stefano Zampini
1917 
1918 .seealso:  PCCreate(), PCSetType(), PCType (for list of available types), PC,  MATIS
1919 M*/
1920 
1921 #undef __FUNCT__
1922 #define __FUNCT__ "PCCreate_BDDC"
1923 PETSC_EXTERN PetscErrorCode PCCreate_BDDC(PC pc)
1924 {
1925   PetscErrorCode      ierr;
1926   PC_BDDC             *pcbddc;
1927 
1928   PetscFunctionBegin;
1929   /* Creates the private data structure for this preconditioner and attach it to the PC object. */
1930   ierr      = PetscNewLog(pc,&pcbddc);CHKERRQ(ierr);
1931   pc->data  = (void*)pcbddc;
1932 
1933   /* create PCIS data structure */
1934   ierr = PCISCreate(pc);CHKERRQ(ierr);
1935 
1936   /* BDDC customization */
1937   pcbddc->use_local_adj       = PETSC_TRUE;
1938   pcbddc->use_vertices        = PETSC_TRUE;
1939   pcbddc->use_edges           = PETSC_TRUE;
1940   pcbddc->use_faces           = PETSC_FALSE;
1941   pcbddc->use_change_of_basis = PETSC_FALSE;
1942   pcbddc->use_change_on_faces = PETSC_FALSE;
1943   pcbddc->switch_static       = PETSC_FALSE;
1944   pcbddc->use_nnsp_true       = PETSC_FALSE;
1945   pcbddc->use_qr_single       = PETSC_FALSE;
1946   pcbddc->dbg_flag            = 0;
1947   /* private */
1948   pcbddc->issym                      = PETSC_FALSE;
1949   pcbddc->local_primal_size          = 0;
1950   pcbddc->n_vertices                 = 0;
1951   pcbddc->n_actual_vertices          = 0;
1952   pcbddc->n_constraints              = 0;
1953   pcbddc->primal_indices_local_idxs  = 0;
1954   pcbddc->recompute_topography       = PETSC_FALSE;
1955   pcbddc->coarse_size                = -1;
1956   pcbddc->new_primal_space           = PETSC_FALSE;
1957   pcbddc->new_primal_space_local     = PETSC_FALSE;
1958   pcbddc->global_primal_indices      = 0;
1959   pcbddc->onearnullspace             = 0;
1960   pcbddc->onearnullvecs_state        = 0;
1961   pcbddc->user_primal_vertices       = 0;
1962   pcbddc->NullSpace                  = 0;
1963   pcbddc->temp_solution              = 0;
1964   pcbddc->original_rhs               = 0;
1965   pcbddc->local_mat                  = 0;
1966   pcbddc->ChangeOfBasisMatrix        = 0;
1967   pcbddc->user_ChangeOfBasisMatrix   = 0;
1968   pcbddc->new_global_mat             = 0;
1969   pcbddc->coarse_vec                 = 0;
1970   pcbddc->coarse_ksp                 = 0;
1971   pcbddc->coarse_phi_B               = 0;
1972   pcbddc->coarse_phi_D               = 0;
1973   pcbddc->coarse_psi_B               = 0;
1974   pcbddc->coarse_psi_D               = 0;
1975   pcbddc->vec1_P                     = 0;
1976   pcbddc->vec1_R                     = 0;
1977   pcbddc->vec2_R                     = 0;
1978   pcbddc->local_auxmat1              = 0;
1979   pcbddc->local_auxmat2              = 0;
1980   pcbddc->R_to_B                     = 0;
1981   pcbddc->R_to_D                     = 0;
1982   pcbddc->ksp_D                      = 0;
1983   pcbddc->ksp_R                      = 0;
1984   pcbddc->NeumannBoundaries          = 0;
1985   pcbddc->NeumannBoundariesLocal     = 0;
1986   pcbddc->DirichletBoundaries        = 0;
1987   pcbddc->DirichletBoundariesLocal   = 0;
1988   pcbddc->user_provided_isfordofs    = PETSC_FALSE;
1989   pcbddc->n_ISForDofs                = 0;
1990   pcbddc->n_ISForDofsLocal           = 0;
1991   pcbddc->ISForDofs                  = 0;
1992   pcbddc->ISForDofsLocal             = 0;
1993   pcbddc->ConstraintMatrix           = 0;
1994   pcbddc->use_exact_dirichlet_trick  = PETSC_TRUE;
1995   pcbddc->coarse_loc_to_glob         = 0;
1996   pcbddc->coarsening_ratio           = 8;
1997   pcbddc->current_level              = 0;
1998   pcbddc->max_levels                 = 0;
1999   pcbddc->use_coarse_estimates       = PETSC_FALSE;
2000   pcbddc->redistribute_coarse        = 0;
2001   pcbddc->coarse_subassembling       = 0;
2002   pcbddc->coarse_subassembling_init  = 0;
2003 
2004   /* create local graph structure */
2005   ierr = PCBDDCGraphCreate(&pcbddc->mat_graph);CHKERRQ(ierr);
2006 
2007   /* scaling */
2008   pcbddc->work_scaling          = 0;
2009   pcbddc->use_deluxe_scaling    = PETSC_FALSE;
2010   pcbddc->faster_deluxe         = PETSC_FALSE;
2011 
2012   /* create sub schurs structure */
2013   ierr = PCBDDCSubSchursCreate(&pcbddc->sub_schurs);CHKERRQ(ierr);
2014   pcbddc->sub_schurs_rebuild     = PETSC_FALSE;
2015   pcbddc->sub_schurs_layers      = -1;
2016   pcbddc->sub_schurs_use_useradj = PETSC_FALSE;
2017 
2018   pcbddc->computed_rowadj = PETSC_FALSE;
2019 
2020   /* adaptivity */
2021   pcbddc->adaptive_threshold      = -1.0;
2022   pcbddc->adaptive_invert_Stildas = PETSC_TRUE;
2023   pcbddc->adaptive_nmax           = 0;
2024   pcbddc->adaptive_nmin           = -1;
2025 
2026   /* function pointers */
2027   pc->ops->apply               = PCApply_BDDC;
2028   pc->ops->applytranspose      = PCApplyTranspose_BDDC;
2029   pc->ops->setup               = PCSetUp_BDDC;
2030   pc->ops->destroy             = PCDestroy_BDDC;
2031   pc->ops->setfromoptions      = PCSetFromOptions_BDDC;
2032   pc->ops->view                = 0;
2033   pc->ops->applyrichardson     = 0;
2034   pc->ops->applysymmetricleft  = 0;
2035   pc->ops->applysymmetricright = 0;
2036   pc->ops->presolve            = PCPreSolve_BDDC;
2037   pc->ops->postsolve           = PCPostSolve_BDDC;
2038 
2039   /* composing function */
2040   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetChangeOfBasisMat_C",PCBDDCSetChangeOfBasisMat_BDDC);CHKERRQ(ierr);
2041   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetPrimalVerticesLocalIS_C",PCBDDCSetPrimalVerticesLocalIS_BDDC);CHKERRQ(ierr);
2042   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetCoarseningRatio_C",PCBDDCSetCoarseningRatio_BDDC);CHKERRQ(ierr);
2043   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevel_C",PCBDDCSetLevel_BDDC);CHKERRQ(ierr);
2044   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetUseExactDirichlet_C",PCBDDCSetUseExactDirichlet_BDDC);CHKERRQ(ierr);
2045   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevels_C",PCBDDCSetLevels_BDDC);CHKERRQ(ierr);
2046   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNullSpace_C",PCBDDCSetNullSpace_BDDC);CHKERRQ(ierr);
2047   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundaries_C",PCBDDCSetDirichletBoundaries_BDDC);CHKERRQ(ierr);
2048   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundariesLocal_C",PCBDDCSetDirichletBoundariesLocal_BDDC);CHKERRQ(ierr);
2049   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundaries_C",PCBDDCSetNeumannBoundaries_BDDC);CHKERRQ(ierr);
2050   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundariesLocal_C",PCBDDCSetNeumannBoundariesLocal_BDDC);CHKERRQ(ierr);
2051   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundaries_C",PCBDDCGetDirichletBoundaries_BDDC);CHKERRQ(ierr);
2052   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundariesLocal_C",PCBDDCGetDirichletBoundariesLocal_BDDC);CHKERRQ(ierr);
2053   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundaries_C",PCBDDCGetNeumannBoundaries_BDDC);CHKERRQ(ierr);
2054   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundariesLocal_C",PCBDDCGetNeumannBoundariesLocal_BDDC);CHKERRQ(ierr);
2055   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplitting_C",PCBDDCSetDofsSplitting_BDDC);CHKERRQ(ierr);
2056   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplittingLocal_C",PCBDDCSetDofsSplittingLocal_BDDC);CHKERRQ(ierr);
2057   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLocalAdjacencyGraph_C",PCBDDCSetLocalAdjacencyGraph_BDDC);CHKERRQ(ierr);
2058   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCCreateFETIDPOperators_C",PCBDDCCreateFETIDPOperators_BDDC);CHKERRQ(ierr);
2059   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetRHS_C",PCBDDCMatFETIDPGetRHS_BDDC);CHKERRQ(ierr);
2060   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetSolution_C",PCBDDCMatFETIDPGetSolution_BDDC);CHKERRQ(ierr);
2061   PetscFunctionReturn(0);
2062 }
2063 
2064