xref: /petsc/src/ksp/pc/impls/bddc/bddc.c (revision 2b095fd868400130684ee72a1c39d4c0d6f4ebf1)
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(PC pc)
47 {
48   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
49   PetscErrorCode ierr;
50 
51   PetscFunctionBegin;
52   ierr = PetscOptionsHead("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 always used for multiple constraints on the same cc)","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 = PetscOptionsInt("-pc_bddc_schur_threshold","Schur principal minors smaller than this value are explicilty computed (-1 computes all)","none",pcbddc->sub_schurs_threshold,&pcbddc->sub_schurs_threshold,NULL);CHKERRQ(ierr);
76   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);
77   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);
78   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);
79   ierr = PetscOptionsScalar("-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 = PetscOptionsTail();CHKERRQ(ierr);
83   PetscFunctionReturn(0);
84 }
85 /* -------------------------------------------------------------------------- */
86 #undef __FUNCT__
87 #define __FUNCT__ "PCBDDCSetChangeOfBasisMat_BDDC"
88 static PetscErrorCode PCBDDCSetChangeOfBasisMat_BDDC(PC pc, Mat change)
89 {
90   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
91   PetscErrorCode ierr;
92 
93   PetscFunctionBegin;
94   ierr = MatDestroy(&pcbddc->user_ChangeOfBasisMatrix);CHKERRQ(ierr);
95   ierr = PetscObjectReference((PetscObject)change);CHKERRQ(ierr);
96   pcbddc->user_ChangeOfBasisMatrix = change;
97   PetscFunctionReturn(0);
98 }
99 #undef __FUNCT__
100 #define __FUNCT__ "PCBDDCSetChangeOfBasisMat"
101 /*@
102  PCBDDCSetChangeOfBasisMat - Set user defined change of basis for dofs
103 
104    Collective on PC
105 
106    Input Parameters:
107 +  pc - the preconditioning context
108 -  change - the change of basis matrix
109 
110    Level: intermediate
111 
112    Notes:
113 
114 .seealso: PCBDDC
115 @*/
116 PetscErrorCode PCBDDCSetChangeOfBasisMat(PC pc, Mat change)
117 {
118   PetscErrorCode ierr;
119 
120   PetscFunctionBegin;
121   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
122   PetscValidHeaderSpecific(change,MAT_CLASSID,2);
123   PetscCheckSameComm(pc,1,change,2);
124   if (pc->mat) {
125     PetscInt rows_c,cols_c,rows,cols;
126     ierr = MatGetSize(pc->mat,&rows,&cols);CHKERRQ(ierr);
127     ierr = MatGetSize(change,&rows_c,&cols_c);CHKERRQ(ierr);
128     if (rows_c != rows) {
129       SETERRQ2(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Invalid number of rows for change of basis matrix! %d != %d",rows_c,rows);
130     }
131     if (cols_c != cols) {
132       SETERRQ2(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Invalid number of columns for change of basis matrix! %d != %d",cols_c,cols);
133     }
134     ierr = MatGetLocalSize(pc->mat,&rows,&cols);CHKERRQ(ierr);
135     ierr = MatGetLocalSize(change,&rows_c,&cols_c);CHKERRQ(ierr);
136     if (rows_c != rows) {
137       SETERRQ2(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Invalid number of local rows for change of basis matrix! %d != %d",rows_c,rows);
138     }
139     if (cols_c != cols) {
140       SETERRQ2(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Invalid number of local columns for change of basis matrix! %d != %d",cols_c,cols);
141     }
142   }
143   ierr = PetscTryMethod(pc,"PCBDDCSetChangeOfBasisMat_C",(PC,Mat),(pc,change));CHKERRQ(ierr);
144   PetscFunctionReturn(0);
145 }
146 /* -------------------------------------------------------------------------- */
147 #undef __FUNCT__
148 #define __FUNCT__ "PCBDDCSetPrimalVerticesLocalIS_BDDC"
149 static PetscErrorCode PCBDDCSetPrimalVerticesLocalIS_BDDC(PC pc, IS PrimalVertices)
150 {
151   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
152   PetscErrorCode ierr;
153 
154   PetscFunctionBegin;
155   ierr = ISDestroy(&pcbddc->user_primal_vertices);CHKERRQ(ierr);
156   ierr = PetscObjectReference((PetscObject)PrimalVertices);CHKERRQ(ierr);
157   pcbddc->user_primal_vertices = PrimalVertices;
158   PetscFunctionReturn(0);
159 }
160 #undef __FUNCT__
161 #define __FUNCT__ "PCBDDCSetPrimalVerticesLocalIS"
162 /*@
163  PCBDDCSetPrimalVerticesLocalIS - Set additional user defined primal vertices in PCBDDC
164 
165    Not collective
166 
167    Input Parameters:
168 +  pc - the preconditioning context
169 -  PrimalVertices - index set of primal vertices in local numbering
170 
171    Level: intermediate
172 
173    Notes:
174 
175 .seealso: PCBDDC
176 @*/
177 PetscErrorCode PCBDDCSetPrimalVerticesLocalIS(PC pc, IS PrimalVertices)
178 {
179   PetscErrorCode ierr;
180 
181   PetscFunctionBegin;
182   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
183   PetscValidHeaderSpecific(PrimalVertices,IS_CLASSID,2);
184   ierr = PetscTryMethod(pc,"PCBDDCSetPrimalVerticesLocalIS_C",(PC,IS),(pc,PrimalVertices));CHKERRQ(ierr);
185   PetscFunctionReturn(0);
186 }
187 /* -------------------------------------------------------------------------- */
188 #undef __FUNCT__
189 #define __FUNCT__ "PCBDDCSetCoarseningRatio_BDDC"
190 static PetscErrorCode PCBDDCSetCoarseningRatio_BDDC(PC pc,PetscInt k)
191 {
192   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
193 
194   PetscFunctionBegin;
195   pcbddc->coarsening_ratio = k;
196   PetscFunctionReturn(0);
197 }
198 
199 #undef __FUNCT__
200 #define __FUNCT__ "PCBDDCSetCoarseningRatio"
201 /*@
202  PCBDDCSetCoarseningRatio - Set coarsening ratio used in multilevel
203 
204    Logically collective on PC
205 
206    Input Parameters:
207 +  pc - the preconditioning context
208 -  k - coarsening ratio (H/h at the coarser level)
209 
210    Approximatively k subdomains at the finer level will be aggregated into a single subdomain at the coarser level
211 
212    Level: intermediate
213 
214    Notes:
215 
216 .seealso: PCBDDC
217 @*/
218 PetscErrorCode PCBDDCSetCoarseningRatio(PC pc,PetscInt k)
219 {
220   PetscErrorCode ierr;
221 
222   PetscFunctionBegin;
223   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
224   PetscValidLogicalCollectiveInt(pc,k,2);
225   ierr = PetscTryMethod(pc,"PCBDDCSetCoarseningRatio_C",(PC,PetscInt),(pc,k));CHKERRQ(ierr);
226   PetscFunctionReturn(0);
227 }
228 
229 /* The following functions (PCBDDCSetUseExactDirichlet PCBDDCSetLevel) are not public */
230 #undef __FUNCT__
231 #define __FUNCT__ "PCBDDCSetUseExactDirichlet_BDDC"
232 static PetscErrorCode PCBDDCSetUseExactDirichlet_BDDC(PC pc,PetscBool flg)
233 {
234   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
235 
236   PetscFunctionBegin;
237   pcbddc->use_exact_dirichlet_trick = flg;
238   PetscFunctionReturn(0);
239 }
240 
241 #undef __FUNCT__
242 #define __FUNCT__ "PCBDDCSetUseExactDirichlet"
243 PetscErrorCode PCBDDCSetUseExactDirichlet(PC pc,PetscBool flg)
244 {
245   PetscErrorCode ierr;
246 
247   PetscFunctionBegin;
248   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
249   PetscValidLogicalCollectiveBool(pc,flg,2);
250   ierr = PetscTryMethod(pc,"PCBDDCSetUseExactDirichlet_C",(PC,PetscBool),(pc,flg));CHKERRQ(ierr);
251   PetscFunctionReturn(0);
252 }
253 
254 #undef __FUNCT__
255 #define __FUNCT__ "PCBDDCSetLevel_BDDC"
256 static PetscErrorCode PCBDDCSetLevel_BDDC(PC pc,PetscInt level)
257 {
258   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
259 
260   PetscFunctionBegin;
261   pcbddc->current_level = level;
262   PetscFunctionReturn(0);
263 }
264 
265 #undef __FUNCT__
266 #define __FUNCT__ "PCBDDCSetLevel"
267 PetscErrorCode PCBDDCSetLevel(PC pc,PetscInt level)
268 {
269   PetscErrorCode ierr;
270 
271   PetscFunctionBegin;
272   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
273   PetscValidLogicalCollectiveInt(pc,level,2);
274   ierr = PetscTryMethod(pc,"PCBDDCSetLevel_C",(PC,PetscInt),(pc,level));CHKERRQ(ierr);
275   PetscFunctionReturn(0);
276 }
277 
278 #undef __FUNCT__
279 #define __FUNCT__ "PCBDDCSetLevels_BDDC"
280 static PetscErrorCode PCBDDCSetLevels_BDDC(PC pc,PetscInt levels)
281 {
282   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
283 
284   PetscFunctionBegin;
285   pcbddc->max_levels = levels;
286   PetscFunctionReturn(0);
287 }
288 
289 #undef __FUNCT__
290 #define __FUNCT__ "PCBDDCSetLevels"
291 /*@
292  PCBDDCSetLevels - Sets the maximum number of levels for multilevel
293 
294    Logically collective on PC
295 
296    Input Parameters:
297 +  pc - the preconditioning context
298 -  levels - the maximum number of levels (max 9)
299 
300    Default value is 0, i.e. traditional one-level BDDC
301 
302    Level: intermediate
303 
304    Notes:
305 
306 .seealso: PCBDDC
307 @*/
308 PetscErrorCode PCBDDCSetLevels(PC pc,PetscInt levels)
309 {
310   PetscErrorCode ierr;
311 
312   PetscFunctionBegin;
313   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
314   PetscValidLogicalCollectiveInt(pc,levels,2);
315   if (levels > 99) SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Maximum number of levels for bddc is 99\n");
316   ierr = PetscTryMethod(pc,"PCBDDCSetLevels_C",(PC,PetscInt),(pc,levels));CHKERRQ(ierr);
317   PetscFunctionReturn(0);
318 }
319 /* -------------------------------------------------------------------------- */
320 
321 #undef __FUNCT__
322 #define __FUNCT__ "PCBDDCSetNullSpace_BDDC"
323 static PetscErrorCode PCBDDCSetNullSpace_BDDC(PC pc,MatNullSpace NullSpace)
324 {
325   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
326   PetscErrorCode ierr;
327 
328   PetscFunctionBegin;
329   ierr = PetscObjectReference((PetscObject)NullSpace);CHKERRQ(ierr);
330   ierr = MatNullSpaceDestroy(&pcbddc->NullSpace);CHKERRQ(ierr);
331   pcbddc->NullSpace = NullSpace;
332   PetscFunctionReturn(0);
333 }
334 
335 #undef __FUNCT__
336 #define __FUNCT__ "PCBDDCSetNullSpace"
337 /*@
338  PCBDDCSetNullSpace - Set nullspace for BDDC operator
339 
340    Logically collective on PC and MatNullSpace
341 
342    Input Parameters:
343 +  pc - the preconditioning context
344 -  NullSpace - Null space of the linear operator to be preconditioned (Pmat)
345 
346    Level: intermediate
347 
348    Notes:
349 
350 .seealso: PCBDDC
351 @*/
352 PetscErrorCode PCBDDCSetNullSpace(PC pc,MatNullSpace NullSpace)
353 {
354   PetscErrorCode ierr;
355 
356   PetscFunctionBegin;
357   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
358   PetscValidHeaderSpecific(NullSpace,MAT_NULLSPACE_CLASSID,2);
359   PetscCheckSameComm(pc,1,NullSpace,2);
360   ierr = PetscTryMethod(pc,"PCBDDCSetNullSpace_C",(PC,MatNullSpace),(pc,NullSpace));CHKERRQ(ierr);
361   PetscFunctionReturn(0);
362 }
363 /* -------------------------------------------------------------------------- */
364 
365 #undef __FUNCT__
366 #define __FUNCT__ "PCBDDCSetDirichletBoundaries_BDDC"
367 static PetscErrorCode PCBDDCSetDirichletBoundaries_BDDC(PC pc,IS DirichletBoundaries)
368 {
369   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
370   PetscErrorCode ierr;
371 
372   PetscFunctionBegin;
373   /* last user setting takes precendence -> destroy any other customization */
374   ierr = ISDestroy(&pcbddc->DirichletBoundariesLocal);CHKERRQ(ierr);
375   ierr = ISDestroy(&pcbddc->DirichletBoundaries);CHKERRQ(ierr);
376   ierr = PetscObjectReference((PetscObject)DirichletBoundaries);CHKERRQ(ierr);
377   pcbddc->DirichletBoundaries = DirichletBoundaries;
378   pcbddc->recompute_topography = PETSC_TRUE;
379   PetscFunctionReturn(0);
380 }
381 
382 #undef __FUNCT__
383 #define __FUNCT__ "PCBDDCSetDirichletBoundaries"
384 /*@
385  PCBDDCSetDirichletBoundaries - Set IS defining Dirichlet boundaries for the global problem.
386 
387    Collective
388 
389    Input Parameters:
390 +  pc - the preconditioning context
391 -  DirichletBoundaries - parallel IS defining the Dirichlet boundaries
392 
393    Level: intermediate
394 
395    Notes: Any process can list any global node
396 
397 .seealso: PCBDDC
398 @*/
399 PetscErrorCode PCBDDCSetDirichletBoundaries(PC pc,IS DirichletBoundaries)
400 {
401   PetscErrorCode ierr;
402 
403   PetscFunctionBegin;
404   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
405   PetscValidHeaderSpecific(DirichletBoundaries,IS_CLASSID,2);
406   PetscCheckSameComm(pc,1,DirichletBoundaries,2);
407   ierr = PetscTryMethod(pc,"PCBDDCSetDirichletBoundaries_C",(PC,IS),(pc,DirichletBoundaries));CHKERRQ(ierr);
408   PetscFunctionReturn(0);
409 }
410 /* -------------------------------------------------------------------------- */
411 
412 #undef __FUNCT__
413 #define __FUNCT__ "PCBDDCSetDirichletBoundariesLocal_BDDC"
414 static PetscErrorCode PCBDDCSetDirichletBoundariesLocal_BDDC(PC pc,IS DirichletBoundaries)
415 {
416   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
417   PetscErrorCode ierr;
418 
419   PetscFunctionBegin;
420   /* last user setting takes precendence -> destroy any other customization */
421   ierr = ISDestroy(&pcbddc->DirichletBoundariesLocal);CHKERRQ(ierr);
422   ierr = ISDestroy(&pcbddc->DirichletBoundaries);CHKERRQ(ierr);
423   ierr = PetscObjectReference((PetscObject)DirichletBoundaries);CHKERRQ(ierr);
424   pcbddc->DirichletBoundariesLocal = DirichletBoundaries;
425   pcbddc->recompute_topography = PETSC_TRUE;
426   PetscFunctionReturn(0);
427 }
428 
429 #undef __FUNCT__
430 #define __FUNCT__ "PCBDDCSetDirichletBoundariesLocal"
431 /*@
432  PCBDDCSetDirichletBoundariesLocal - Set IS defining Dirichlet boundaries for the global problem in local ordering.
433 
434    Collective
435 
436    Input Parameters:
437 +  pc - the preconditioning context
438 -  DirichletBoundaries - parallel IS defining the Dirichlet boundaries (in local ordering)
439 
440    Level: intermediate
441 
442    Notes:
443 
444 .seealso: PCBDDC
445 @*/
446 PetscErrorCode PCBDDCSetDirichletBoundariesLocal(PC pc,IS DirichletBoundaries)
447 {
448   PetscErrorCode ierr;
449 
450   PetscFunctionBegin;
451   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
452   PetscValidHeaderSpecific(DirichletBoundaries,IS_CLASSID,2);
453   PetscCheckSameComm(pc,1,DirichletBoundaries,2);
454   ierr = PetscTryMethod(pc,"PCBDDCSetDirichletBoundariesLocal_C",(PC,IS),(pc,DirichletBoundaries));CHKERRQ(ierr);
455   PetscFunctionReturn(0);
456 }
457 /* -------------------------------------------------------------------------- */
458 
459 #undef __FUNCT__
460 #define __FUNCT__ "PCBDDCSetNeumannBoundaries_BDDC"
461 static PetscErrorCode PCBDDCSetNeumannBoundaries_BDDC(PC pc,IS NeumannBoundaries)
462 {
463   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
464   PetscErrorCode ierr;
465 
466   PetscFunctionBegin;
467   /* last user setting takes precendence -> destroy any other customization */
468   ierr = ISDestroy(&pcbddc->NeumannBoundariesLocal);CHKERRQ(ierr);
469   ierr = ISDestroy(&pcbddc->NeumannBoundaries);CHKERRQ(ierr);
470   ierr = PetscObjectReference((PetscObject)NeumannBoundaries);CHKERRQ(ierr);
471   pcbddc->NeumannBoundaries = NeumannBoundaries;
472   pcbddc->recompute_topography = PETSC_TRUE;
473   PetscFunctionReturn(0);
474 }
475 
476 #undef __FUNCT__
477 #define __FUNCT__ "PCBDDCSetNeumannBoundaries"
478 /*@
479  PCBDDCSetNeumannBoundaries - Set IS defining Neumann boundaries for the global problem.
480 
481    Collective
482 
483    Input Parameters:
484 +  pc - the preconditioning context
485 -  NeumannBoundaries - parallel IS defining the Neumann boundaries
486 
487    Level: intermediate
488 
489    Notes: Any process can list any global node
490 
491 .seealso: PCBDDC
492 @*/
493 PetscErrorCode PCBDDCSetNeumannBoundaries(PC pc,IS NeumannBoundaries)
494 {
495   PetscErrorCode ierr;
496 
497   PetscFunctionBegin;
498   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
499   PetscValidHeaderSpecific(NeumannBoundaries,IS_CLASSID,2);
500   PetscCheckSameComm(pc,1,NeumannBoundaries,2);
501   ierr = PetscTryMethod(pc,"PCBDDCSetNeumannBoundaries_C",(PC,IS),(pc,NeumannBoundaries));CHKERRQ(ierr);
502   PetscFunctionReturn(0);
503 }
504 /* -------------------------------------------------------------------------- */
505 
506 #undef __FUNCT__
507 #define __FUNCT__ "PCBDDCSetNeumannBoundariesLocal_BDDC"
508 static PetscErrorCode PCBDDCSetNeumannBoundariesLocal_BDDC(PC pc,IS NeumannBoundaries)
509 {
510   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
511   PetscErrorCode ierr;
512 
513   PetscFunctionBegin;
514   /* last user setting takes precendence -> destroy any other customization */
515   ierr = ISDestroy(&pcbddc->NeumannBoundariesLocal);CHKERRQ(ierr);
516   ierr = ISDestroy(&pcbddc->NeumannBoundaries);CHKERRQ(ierr);
517   ierr = PetscObjectReference((PetscObject)NeumannBoundaries);CHKERRQ(ierr);
518   pcbddc->NeumannBoundariesLocal = NeumannBoundaries;
519   pcbddc->recompute_topography = PETSC_TRUE;
520   PetscFunctionReturn(0);
521 }
522 
523 #undef __FUNCT__
524 #define __FUNCT__ "PCBDDCSetNeumannBoundariesLocal"
525 /*@
526  PCBDDCSetNeumannBoundariesLocal - Set IS defining Neumann boundaries for the global problem in local ordering.
527 
528    Collective
529 
530    Input Parameters:
531 +  pc - the preconditioning context
532 -  NeumannBoundaries - parallel IS defining the subdomain part of Neumann boundaries (in local ordering)
533 
534    Level: intermediate
535 
536    Notes:
537 
538 .seealso: PCBDDC
539 @*/
540 PetscErrorCode PCBDDCSetNeumannBoundariesLocal(PC pc,IS NeumannBoundaries)
541 {
542   PetscErrorCode ierr;
543 
544   PetscFunctionBegin;
545   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
546   PetscValidHeaderSpecific(NeumannBoundaries,IS_CLASSID,2);
547   PetscCheckSameComm(pc,1,NeumannBoundaries,2);
548   ierr = PetscTryMethod(pc,"PCBDDCSetNeumannBoundariesLocal_C",(PC,IS),(pc,NeumannBoundaries));CHKERRQ(ierr);
549   PetscFunctionReturn(0);
550 }
551 /* -------------------------------------------------------------------------- */
552 
553 #undef __FUNCT__
554 #define __FUNCT__ "PCBDDCGetDirichletBoundaries_BDDC"
555 static PetscErrorCode PCBDDCGetDirichletBoundaries_BDDC(PC pc,IS *DirichletBoundaries)
556 {
557   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
558 
559   PetscFunctionBegin;
560   *DirichletBoundaries = pcbddc->DirichletBoundaries;
561   PetscFunctionReturn(0);
562 }
563 
564 #undef __FUNCT__
565 #define __FUNCT__ "PCBDDCGetDirichletBoundaries"
566 /*@
567  PCBDDCGetDirichletBoundaries - Get parallel IS for Dirichlet boundaries
568 
569    Collective
570 
571    Input Parameters:
572 .  pc - the preconditioning context
573 
574    Output Parameters:
575 .  DirichletBoundaries - index set defining the Dirichlet boundaries
576 
577    Level: intermediate
578 
579    Notes: The IS returned (if any) is the same passed in earlier by the user with PCBDDCSetDirichletBoundaries
580 
581 .seealso: PCBDDC
582 @*/
583 PetscErrorCode PCBDDCGetDirichletBoundaries(PC pc,IS *DirichletBoundaries)
584 {
585   PetscErrorCode ierr;
586 
587   PetscFunctionBegin;
588   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
589   ierr = PetscUseMethod(pc,"PCBDDCGetDirichletBoundaries_C",(PC,IS*),(pc,DirichletBoundaries));CHKERRQ(ierr);
590   PetscFunctionReturn(0);
591 }
592 /* -------------------------------------------------------------------------- */
593 
594 #undef __FUNCT__
595 #define __FUNCT__ "PCBDDCGetDirichletBoundariesLocal_BDDC"
596 static PetscErrorCode PCBDDCGetDirichletBoundariesLocal_BDDC(PC pc,IS *DirichletBoundaries)
597 {
598   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
599 
600   PetscFunctionBegin;
601   *DirichletBoundaries = pcbddc->DirichletBoundariesLocal;
602   PetscFunctionReturn(0);
603 }
604 
605 #undef __FUNCT__
606 #define __FUNCT__ "PCBDDCGetDirichletBoundariesLocal"
607 /*@
608  PCBDDCGetDirichletBoundariesLocal - Get parallel IS for Dirichlet boundaries (in local ordering)
609 
610    Collective
611 
612    Input Parameters:
613 .  pc - the preconditioning context
614 
615    Output Parameters:
616 .  DirichletBoundaries - index set defining the subdomain part of Dirichlet boundaries
617 
618    Level: intermediate
619 
620    Notes:
621 
622 .seealso: PCBDDC
623 @*/
624 PetscErrorCode PCBDDCGetDirichletBoundariesLocal(PC pc,IS *DirichletBoundaries)
625 {
626   PetscErrorCode ierr;
627 
628   PetscFunctionBegin;
629   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
630   ierr = PetscUseMethod(pc,"PCBDDCGetDirichletBoundariesLocal_C",(PC,IS*),(pc,DirichletBoundaries));CHKERRQ(ierr);
631   PetscFunctionReturn(0);
632 }
633 /* -------------------------------------------------------------------------- */
634 
635 #undef __FUNCT__
636 #define __FUNCT__ "PCBDDCGetNeumannBoundaries_BDDC"
637 static PetscErrorCode PCBDDCGetNeumannBoundaries_BDDC(PC pc,IS *NeumannBoundaries)
638 {
639   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
640 
641   PetscFunctionBegin;
642   *NeumannBoundaries = pcbddc->NeumannBoundaries;
643   PetscFunctionReturn(0);
644 }
645 
646 #undef __FUNCT__
647 #define __FUNCT__ "PCBDDCGetNeumannBoundaries"
648 /*@
649  PCBDDCGetNeumannBoundaries - Get parallel IS for Neumann boundaries
650 
651    Collective
652 
653    Input Parameters:
654 .  pc - the preconditioning context
655 
656    Output Parameters:
657 .  NeumannBoundaries - index set defining the Neumann boundaries
658 
659    Level: intermediate
660 
661    Notes: The IS returned (if any) is the same passed in earlier by the user with PCBDDCSetNeumannBoundaries
662 
663 .seealso: PCBDDC
664 @*/
665 PetscErrorCode PCBDDCGetNeumannBoundaries(PC pc,IS *NeumannBoundaries)
666 {
667   PetscErrorCode ierr;
668 
669   PetscFunctionBegin;
670   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
671   ierr = PetscUseMethod(pc,"PCBDDCGetNeumannBoundaries_C",(PC,IS*),(pc,NeumannBoundaries));CHKERRQ(ierr);
672   PetscFunctionReturn(0);
673 }
674 /* -------------------------------------------------------------------------- */
675 
676 #undef __FUNCT__
677 #define __FUNCT__ "PCBDDCGetNeumannBoundariesLocal_BDDC"
678 static PetscErrorCode PCBDDCGetNeumannBoundariesLocal_BDDC(PC pc,IS *NeumannBoundaries)
679 {
680   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
681 
682   PetscFunctionBegin;
683   *NeumannBoundaries = pcbddc->NeumannBoundariesLocal;
684   PetscFunctionReturn(0);
685 }
686 
687 #undef __FUNCT__
688 #define __FUNCT__ "PCBDDCGetNeumannBoundariesLocal"
689 /*@
690  PCBDDCGetNeumannBoundariesLocal - Get parallel IS for Neumann boundaries (in local ordering)
691 
692    Collective
693 
694    Input Parameters:
695 .  pc - the preconditioning context
696 
697    Output Parameters:
698 .  NeumannBoundaries - index set defining the subdomain part of Neumann boundaries
699 
700    Level: intermediate
701 
702    Notes:
703 
704 .seealso: PCBDDC
705 @*/
706 PetscErrorCode PCBDDCGetNeumannBoundariesLocal(PC pc,IS *NeumannBoundaries)
707 {
708   PetscErrorCode ierr;
709 
710   PetscFunctionBegin;
711   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
712   ierr = PetscUseMethod(pc,"PCBDDCGetNeumannBoundariesLocal_C",(PC,IS*),(pc,NeumannBoundaries));CHKERRQ(ierr);
713   PetscFunctionReturn(0);
714 }
715 /* -------------------------------------------------------------------------- */
716 
717 #undef __FUNCT__
718 #define __FUNCT__ "PCBDDCSetLocalAdjacencyGraph_BDDC"
719 static PetscErrorCode PCBDDCSetLocalAdjacencyGraph_BDDC(PC pc, PetscInt nvtxs,const PetscInt xadj[],const PetscInt adjncy[], PetscCopyMode copymode)
720 {
721   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
722   PCBDDCGraph    mat_graph = pcbddc->mat_graph;
723   PetscErrorCode ierr;
724 
725   PetscFunctionBegin;
726   /* free old CSR */
727   ierr = PCBDDCGraphResetCSR(mat_graph);CHKERRQ(ierr);
728   /* TODO: PCBDDCGraphSetAdjacency */
729   /* get CSR into graph structure */
730   if (copymode == PETSC_COPY_VALUES) {
731     ierr = PetscMalloc1(nvtxs+1,&mat_graph->xadj);CHKERRQ(ierr);
732     ierr = PetscMalloc1(xadj[nvtxs],&mat_graph->adjncy);CHKERRQ(ierr);
733     ierr = PetscMemcpy(mat_graph->xadj,xadj,(nvtxs+1)*sizeof(PetscInt));CHKERRQ(ierr);
734     ierr = PetscMemcpy(mat_graph->adjncy,adjncy,xadj[nvtxs]*sizeof(PetscInt));CHKERRQ(ierr);
735   } else if (copymode == PETSC_OWN_POINTER) {
736     mat_graph->xadj = (PetscInt*)xadj;
737     mat_graph->adjncy = (PetscInt*)adjncy;
738   }
739   mat_graph->nvtxs_csr = nvtxs;
740   PetscFunctionReturn(0);
741 }
742 
743 #undef __FUNCT__
744 #define __FUNCT__ "PCBDDCSetLocalAdjacencyGraph"
745 /*@
746  PCBDDCSetLocalAdjacencyGraph - Set adjacency structure (CSR graph) of the local Neumann matrix
747 
748    Not collective
749 
750    Input Parameters:
751 +  pc - the preconditioning context
752 .  nvtxs - number of local vertices of the graph (i.e., the local size of your problem)
753 .  xadj, adjncy - the CSR graph
754 -  copymode - either PETSC_COPY_VALUES or PETSC_OWN_POINTER.
755 
756    Level: intermediate
757 
758    Notes:
759 
760 .seealso: PCBDDC,PetscCopyMode
761 @*/
762 PetscErrorCode PCBDDCSetLocalAdjacencyGraph(PC pc,PetscInt nvtxs,const PetscInt xadj[],const PetscInt adjncy[], PetscCopyMode copymode)
763 {
764   void (*f)(void) = 0;
765   PetscErrorCode ierr;
766 
767   PetscFunctionBegin;
768   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
769   PetscValidIntPointer(xadj,3);
770   PetscValidIntPointer(adjncy,4);
771   if (copymode != PETSC_COPY_VALUES && copymode != PETSC_OWN_POINTER) {
772     SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_SUP,"Unsupported copy mode %d in %s\n",copymode,__FUNCT__);
773   }
774   ierr = PetscTryMethod(pc,"PCBDDCSetLocalAdjacencyGraph_C",(PC,PetscInt,const PetscInt[],const PetscInt[],PetscCopyMode),(pc,nvtxs,xadj,adjncy,copymode));CHKERRQ(ierr);
775   /* free arrays if PCBDDC is not the PC type */
776   ierr = PetscObjectQueryFunction((PetscObject)pc,"PCBDDCSetLocalAdjacencyGraph_C",&f);CHKERRQ(ierr);
777   if (!f && copymode == PETSC_OWN_POINTER) {
778     ierr = PetscFree(xadj);CHKERRQ(ierr);
779     ierr = PetscFree(adjncy);CHKERRQ(ierr);
780   }
781   PetscFunctionReturn(0);
782 }
783 /* -------------------------------------------------------------------------- */
784 
785 #undef __FUNCT__
786 #define __FUNCT__ "PCBDDCSetDofsSplittingLocal_BDDC"
787 static PetscErrorCode PCBDDCSetDofsSplittingLocal_BDDC(PC pc,PetscInt n_is, IS ISForDofs[])
788 {
789   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
790   PetscInt i;
791   PetscErrorCode ierr;
792 
793   PetscFunctionBegin;
794   /* Destroy ISes if they were already set */
795   for (i=0;i<pcbddc->n_ISForDofsLocal;i++) {
796     ierr = ISDestroy(&pcbddc->ISForDofsLocal[i]);CHKERRQ(ierr);
797   }
798   ierr = PetscFree(pcbddc->ISForDofsLocal);CHKERRQ(ierr);
799   /* last user setting takes precendence -> destroy any other customization */
800   for (i=0;i<pcbddc->n_ISForDofs;i++) {
801     ierr = ISDestroy(&pcbddc->ISForDofs[i]);CHKERRQ(ierr);
802   }
803   ierr = PetscFree(pcbddc->ISForDofs);CHKERRQ(ierr);
804   pcbddc->n_ISForDofs = 0;
805   /* allocate space then set */
806   if (n_is) {
807     ierr = PetscMalloc1(n_is,&pcbddc->ISForDofsLocal);CHKERRQ(ierr);
808   }
809   for (i=0;i<n_is;i++) {
810     ierr = PetscObjectReference((PetscObject)ISForDofs[i]);CHKERRQ(ierr);
811     pcbddc->ISForDofsLocal[i]=ISForDofs[i];
812   }
813   pcbddc->n_ISForDofsLocal=n_is;
814   if (n_is) pcbddc->user_provided_isfordofs = PETSC_TRUE;
815   pcbddc->recompute_topography = PETSC_TRUE;
816   PetscFunctionReturn(0);
817 }
818 
819 #undef __FUNCT__
820 #define __FUNCT__ "PCBDDCSetDofsSplittingLocal"
821 /*@
822  PCBDDCSetDofsSplittingLocal - Set index sets defining fields of the local subdomain matrix
823 
824    Collective
825 
826    Input Parameters:
827 +  pc - the preconditioning context
828 -  n_is - number of index sets defining the fields
829 .  ISForDofs - array of IS describing the fields in local ordering
830 
831    Level: intermediate
832 
833    Notes: n_is should be the same among processes. Not all nodes need to be listed: unlisted nodes will belong to a different field.
834 
835 .seealso: PCBDDC
836 @*/
837 PetscErrorCode PCBDDCSetDofsSplittingLocal(PC pc,PetscInt n_is, IS ISForDofs[])
838 {
839   PetscInt       i;
840   PetscErrorCode ierr;
841 
842   PetscFunctionBegin;
843   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
844   PetscValidLogicalCollectiveInt(pc,n_is,2);
845   for (i=0;i<n_is;i++) {
846     PetscCheckSameComm(pc,1,ISForDofs[i],3);
847     PetscValidHeaderSpecific(ISForDofs[i],IS_CLASSID,3);
848   }
849   ierr = PetscTryMethod(pc,"PCBDDCSetDofsSplittingLocal_C",(PC,PetscInt,IS[]),(pc,n_is,ISForDofs));CHKERRQ(ierr);
850   PetscFunctionReturn(0);
851 }
852 /* -------------------------------------------------------------------------- */
853 
854 #undef __FUNCT__
855 #define __FUNCT__ "PCBDDCSetDofsSplitting_BDDC"
856 static PetscErrorCode PCBDDCSetDofsSplitting_BDDC(PC pc,PetscInt n_is, IS ISForDofs[])
857 {
858   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
859   PetscInt i;
860   PetscErrorCode ierr;
861 
862   PetscFunctionBegin;
863   /* Destroy ISes if they were already set */
864   for (i=0;i<pcbddc->n_ISForDofs;i++) {
865     ierr = ISDestroy(&pcbddc->ISForDofs[i]);CHKERRQ(ierr);
866   }
867   ierr = PetscFree(pcbddc->ISForDofs);CHKERRQ(ierr);
868   /* last user setting takes precendence -> destroy any other customization */
869   for (i=0;i<pcbddc->n_ISForDofsLocal;i++) {
870     ierr = ISDestroy(&pcbddc->ISForDofsLocal[i]);CHKERRQ(ierr);
871   }
872   ierr = PetscFree(pcbddc->ISForDofsLocal);CHKERRQ(ierr);
873   pcbddc->n_ISForDofsLocal = 0;
874   /* allocate space then set */
875   if (n_is) {
876     ierr = PetscMalloc1(n_is,&pcbddc->ISForDofs);CHKERRQ(ierr);
877   }
878   for (i=0;i<n_is;i++) {
879     ierr = PetscObjectReference((PetscObject)ISForDofs[i]);CHKERRQ(ierr);
880     pcbddc->ISForDofs[i]=ISForDofs[i];
881   }
882   pcbddc->n_ISForDofs=n_is;
883   if (n_is) pcbddc->user_provided_isfordofs = PETSC_TRUE;
884   pcbddc->recompute_topography = PETSC_TRUE;
885   PetscFunctionReturn(0);
886 }
887 
888 #undef __FUNCT__
889 #define __FUNCT__ "PCBDDCSetDofsSplitting"
890 /*@
891  PCBDDCSetDofsSplitting - Set index sets defining fields of the global matrix
892 
893    Collective
894 
895    Input Parameters:
896 +  pc - the preconditioning context
897 -  n_is - number of index sets defining the fields
898 .  ISForDofs - array of IS describing the fields in global ordering
899 
900    Level: intermediate
901 
902    Notes: Any process can list any global node. Not all nodes need to be listed: unlisted nodes will belong to a different field.
903 
904 .seealso: PCBDDC
905 @*/
906 PetscErrorCode PCBDDCSetDofsSplitting(PC pc,PetscInt n_is, IS ISForDofs[])
907 {
908   PetscInt       i;
909   PetscErrorCode ierr;
910 
911   PetscFunctionBegin;
912   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
913   PetscValidLogicalCollectiveInt(pc,n_is,2);
914   for (i=0;i<n_is;i++) {
915     PetscCheckSameComm(pc,1,ISForDofs[i],3);
916     PetscValidHeaderSpecific(ISForDofs[i],IS_CLASSID,3);
917   }
918   ierr = PetscTryMethod(pc,"PCBDDCSetDofsSplitting_C",(PC,PetscInt,IS[]),(pc,n_is,ISForDofs));CHKERRQ(ierr);
919   PetscFunctionReturn(0);
920 }
921 
922 /* -------------------------------------------------------------------------- */
923 #undef __FUNCT__
924 #define __FUNCT__ "PCPreSolve_BDDC"
925 /* -------------------------------------------------------------------------- */
926 /*
927    PCPreSolve_BDDC - Changes the right hand side and (if necessary) the initial
928                      guess if a transformation of basis approach has been selected.
929 
930    Input Parameter:
931 +  pc - the preconditioner contex
932 
933    Application Interface Routine: PCPreSolve()
934 
935    Notes:
936    The interface routine PCPreSolve() is not usually called directly by
937    the user, but instead is called by KSPSolve().
938 */
939 static PetscErrorCode PCPreSolve_BDDC(PC pc, KSP ksp, Vec rhs, Vec x)
940 {
941   PetscErrorCode ierr;
942   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
943   PC_IS          *pcis = (PC_IS*)(pc->data);
944   IS             dirIS;
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     ierr = KSPGetInitialGuessNonzero(ksp,&pcbddc->ksp_guess_nonzero);CHKERRQ(ierr);
977     if (!pcbddc->ksp_guess_nonzero) {
978       ierr = VecSet(used_vec,0.0);CHKERRQ(ierr);
979     }
980   }
981 
982   pcbddc->rhs_change = PETSC_FALSE;
983 
984   /* Take into account zeroed rows -> change rhs and store solution removed */
985   /* note that Dirichlet boundaries in global ordering (if any) has already been translated into local ordering in PCBDDCAnalyzeInterface */
986   ierr = PCBDDCGetDirichletBoundariesLocal(pc,&dirIS);CHKERRQ(ierr);
987   if (rhs && dirIS) {
988     Mat_IS            *matis = (Mat_IS*)pc->pmat->data;
989     PetscInt          dirsize,i,*is_indices;
990     PetscScalar       *array_x;
991     const PetscScalar *array_diagonal;
992 
993     ierr = MatGetDiagonal(pc->pmat,pcis->vec1_global);CHKERRQ(ierr);
994     ierr = VecPointwiseDivide(pcis->vec1_global,rhs,pcis->vec1_global);CHKERRQ(ierr);
995     ierr = VecScatterBegin(matis->ctx,pcis->vec1_global,pcis->vec2_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
996     ierr = VecScatterEnd(matis->ctx,pcis->vec1_global,pcis->vec2_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
997     ierr = VecScatterBegin(matis->ctx,used_vec,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
998     ierr = VecScatterEnd(matis->ctx,used_vec,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
999     ierr = ISGetLocalSize(dirIS,&dirsize);CHKERRQ(ierr);
1000     ierr = VecGetArray(pcis->vec1_N,&array_x);CHKERRQ(ierr);
1001     ierr = VecGetArrayRead(pcis->vec2_N,&array_diagonal);CHKERRQ(ierr);
1002     ierr = ISGetIndices(dirIS,(const PetscInt**)&is_indices);CHKERRQ(ierr);
1003     for (i=0; i<dirsize; i++) array_x[is_indices[i]] = array_diagonal[is_indices[i]];
1004     ierr = ISRestoreIndices(dirIS,(const PetscInt**)&is_indices);CHKERRQ(ierr);
1005     ierr = VecRestoreArrayRead(pcis->vec2_N,&array_diagonal);CHKERRQ(ierr);
1006     ierr = VecRestoreArray(pcis->vec1_N,&array_x);CHKERRQ(ierr);
1007     ierr = VecScatterBegin(matis->ctx,pcis->vec1_N,used_vec,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1008     ierr = VecScatterEnd(matis->ctx,pcis->vec1_N,used_vec,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1009     pcbddc->rhs_change = PETSC_TRUE;
1010   }
1011 
1012   /* remove the computed solution or the initial guess from the rhs */
1013   if (pcbddc->rhs_change || (ksp && pcbddc->ksp_guess_nonzero) ) {
1014     /* store the original rhs */
1015     if (copy_rhs) {
1016       ierr = VecCopy(rhs,pcbddc->original_rhs);CHKERRQ(ierr);
1017       copy_rhs = PETSC_FALSE;
1018     }
1019     pcbddc->rhs_change = PETSC_TRUE;
1020     ierr = VecScale(used_vec,-1.0);CHKERRQ(ierr);
1021     ierr = MatMultAdd(pc->pmat,used_vec,rhs,rhs);CHKERRQ(ierr);
1022     ierr = VecScale(used_vec,-1.0);CHKERRQ(ierr);
1023     ierr = VecCopy(used_vec,pcbddc->temp_solution);CHKERRQ(ierr);
1024   }
1025   ierr = VecDestroy(&used_vec);CHKERRQ(ierr);
1026 
1027   /* store partially computed solution and set initial guess */
1028   if (x) {
1029     ierr = VecSet(x,0.0);CHKERRQ(ierr);
1030     if (pcbddc->use_exact_dirichlet_trick) {
1031       ierr = VecScatterBegin(pcis->global_to_D,rhs,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1032       ierr = VecScatterEnd(pcis->global_to_D,rhs,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1033       ierr = KSPSolve(pcbddc->ksp_D,pcis->vec1_D,pcis->vec2_D);CHKERRQ(ierr);
1034       ierr = VecScatterBegin(pcis->global_to_D,pcis->vec2_D,x,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1035       ierr = VecScatterEnd(pcis->global_to_D,pcis->vec2_D,x,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1036       if (ksp && !pcbddc->ksp_guess_nonzero) {
1037         ierr = KSPSetInitialGuessNonzero(ksp,PETSC_TRUE);CHKERRQ(ierr);
1038       }
1039     }
1040   }
1041 
1042   if (pcbddc->ChangeOfBasisMatrix) {
1043     PCBDDCChange_ctx change_ctx;
1044 
1045     /* get change ctx */
1046     ierr = MatShellGetContext(pcbddc->new_global_mat,&change_ctx);CHKERRQ(ierr);
1047 
1048     /* set current iteration matrix inside change context (change of basis has been already set into the ctx during PCSetUp) */
1049     ierr = MatDestroy(&change_ctx->original_mat);CHKERRQ(ierr);
1050     ierr = PetscObjectReference((PetscObject)pc->mat);CHKERRQ(ierr);
1051     change_ctx->original_mat = pc->mat;
1052 
1053     /* change iteration matrix */
1054     ierr = MatDestroy(&pc->mat);CHKERRQ(ierr);
1055     ierr = PetscObjectReference((PetscObject)pcbddc->new_global_mat);CHKERRQ(ierr);
1056     pc->mat = pcbddc->new_global_mat;
1057 
1058     /* store the original rhs */
1059     if (copy_rhs) {
1060       ierr = VecCopy(rhs,pcbddc->original_rhs);CHKERRQ(ierr);
1061       copy_rhs = PETSC_FALSE;
1062     }
1063 
1064     /* change rhs */
1065     ierr = MatMultTranspose(change_ctx->global_change,rhs,pcis->vec1_global);CHKERRQ(ierr);
1066     ierr = VecCopy(pcis->vec1_global,rhs);CHKERRQ(ierr);
1067     pcbddc->rhs_change = PETSC_TRUE;
1068   }
1069 
1070   /* remove nullspace if present */
1071   if (ksp && x && pcbddc->NullSpace) {
1072     ierr = MatNullSpaceRemove(pcbddc->NullSpace,x);CHKERRQ(ierr);
1073     /* store the original rhs */
1074     if (copy_rhs) {
1075       ierr = VecCopy(rhs,pcbddc->original_rhs);CHKERRQ(ierr);
1076       copy_rhs = PETSC_FALSE;
1077     }
1078     pcbddc->rhs_change = PETSC_TRUE;
1079     ierr = MatNullSpaceRemove(pcbddc->NullSpace,rhs);CHKERRQ(ierr);
1080   }
1081   PetscFunctionReturn(0);
1082 }
1083 
1084 /* -------------------------------------------------------------------------- */
1085 #undef __FUNCT__
1086 #define __FUNCT__ "PCPostSolve_BDDC"
1087 /* -------------------------------------------------------------------------- */
1088 /*
1089    PCPostSolve_BDDC - Changes the computed solution if a transformation of basis
1090                      approach has been selected. Also, restores rhs to its original state.
1091 
1092    Input Parameter:
1093 +  pc - the preconditioner contex
1094 
1095    Application Interface Routine: PCPostSolve()
1096 
1097    Notes:
1098    The interface routine PCPostSolve() is not usually called directly by
1099    the user, but instead is called by KSPSolve().
1100 */
1101 static PetscErrorCode PCPostSolve_BDDC(PC pc, KSP ksp, Vec rhs, Vec x)
1102 {
1103   PetscErrorCode ierr;
1104   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
1105 
1106   PetscFunctionBegin;
1107   if (pcbddc->ChangeOfBasisMatrix) {
1108     PCBDDCChange_ctx change_ctx;
1109 
1110     /* get change ctx */
1111     ierr = MatShellGetContext(pcbddc->new_global_mat,&change_ctx);CHKERRQ(ierr);
1112 
1113     /* restore iteration matrix */
1114     ierr = MatDestroy(&pc->mat);CHKERRQ(ierr);
1115     ierr = PetscObjectReference((PetscObject)change_ctx->original_mat);CHKERRQ(ierr);
1116     pc->mat = change_ctx->original_mat;
1117 
1118     /* get solution in original basis */
1119     if (x) {
1120       PC_IS *pcis = (PC_IS*)(pc->data);
1121       ierr = MatMult(change_ctx->global_change,x,pcis->vec1_global);CHKERRQ(ierr);
1122       ierr = VecCopy(pcis->vec1_global,x);CHKERRQ(ierr);
1123     }
1124   }
1125 
1126   /* add solution removed in presolve */
1127   if (x && pcbddc->rhs_change) {
1128     ierr = VecAXPY(x,1.0,pcbddc->temp_solution);CHKERRQ(ierr);
1129   }
1130 
1131   /* restore rhs to its original state */
1132   if (rhs && pcbddc->rhs_change) {
1133     ierr = VecCopy(pcbddc->original_rhs,rhs);CHKERRQ(ierr);
1134   }
1135   pcbddc->rhs_change = PETSC_FALSE;
1136 
1137   /* restore ksp guess state */
1138   if (ksp) {
1139     ierr = KSPSetInitialGuessNonzero(ksp,pcbddc->ksp_guess_nonzero);CHKERRQ(ierr);
1140   }
1141   PetscFunctionReturn(0);
1142 }
1143 /* -------------------------------------------------------------------------- */
1144 #undef __FUNCT__
1145 #define __FUNCT__ "PCSetUp_BDDC"
1146 /* -------------------------------------------------------------------------- */
1147 /*
1148    PCSetUp_BDDC - Prepares for the use of the BDDC preconditioner
1149                   by setting data structures and options.
1150 
1151    Input Parameter:
1152 +  pc - the preconditioner context
1153 
1154    Application Interface Routine: PCSetUp()
1155 
1156    Notes:
1157    The interface routine PCSetUp() is not usually called directly by
1158    the user, but instead is called by PCApply() if necessary.
1159 */
1160 PetscErrorCode PCSetUp_BDDC(PC pc)
1161 {
1162   PetscErrorCode ierr;
1163   PC_BDDC*       pcbddc = (PC_BDDC*)pc->data;
1164   Mat_IS*        matis;
1165   MatNullSpace   nearnullspace;
1166   PetscBool      computetopography,computesolvers,computesubschurs;
1167   PetscBool      new_nearnullspace_provided,ismatis;
1168 
1169   PetscFunctionBegin;
1170   ierr = PetscObjectTypeCompare((PetscObject)pc->pmat,MATIS,&ismatis);CHKERRQ(ierr);
1171   if (!ismatis) {
1172     SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_ARG_WRONG,"PCBDDC preconditioner requires matrix of type MATIS");
1173   }
1174   matis = (Mat_IS*)pc->pmat->data;
1175   /* the following lines of code should be replaced by a better logic between PCIS, PCNN, PCBDDC and other future nonoverlapping preconditioners */
1176   /* For BDDC we need to define a local "Neumann" problem different to that defined in PCISSetup
1177      Also, BDDC directly build the Dirichlet problem */
1178   /* split work */
1179   if (pc->setupcalled) {
1180     if (pc->flag == SAME_NONZERO_PATTERN) {
1181       computetopography = PETSC_FALSE;
1182       computesolvers = PETSC_TRUE;
1183     } else { /* DIFFERENT_NONZERO_PATTERN */
1184       computetopography = PETSC_TRUE;
1185       computesolvers = PETSC_TRUE;
1186     }
1187   } else {
1188     computetopography = PETSC_TRUE;
1189     computesolvers = PETSC_TRUE;
1190   }
1191   if (pcbddc->recompute_topography) {
1192     computetopography = PETSC_TRUE;
1193   }
1194   pcbddc->adaptive_selection = (PetscBool)(pcbddc->adaptive_threshold > 0.0);
1195   computesubschurs = pcbddc->use_deluxe_scaling || pcbddc->adaptive_selection;
1196 
1197   /* Get stdout for dbg */
1198   if (pcbddc->dbg_flag) {
1199     if (!pcbddc->dbg_viewer) {
1200       pcbddc->dbg_viewer = PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)pc));
1201       ierr = PetscViewerASCIISynchronizedAllow(pcbddc->dbg_viewer,PETSC_TRUE);CHKERRQ(ierr);
1202     }
1203     ierr = PetscViewerASCIIAddTab(pcbddc->dbg_viewer,2*pcbddc->current_level);CHKERRQ(ierr);
1204   }
1205 
1206   /*ierr = MatIsSymmetric(pc->pmat,0.,&pcbddc->issym);CHKERRQ(ierr);*/
1207   { /* this is a temporary workaround since seqbaij matrices does not have support for symmetry checking */
1208     PetscBool setsym;
1209     ierr = MatIsSymmetricKnown(pc->pmat,&setsym,&pcbddc->issym);CHKERRQ(ierr);
1210     if (!setsym) pcbddc->issym = PETSC_FALSE;
1211   }
1212 
1213   if (pcbddc->user_ChangeOfBasisMatrix) {
1214     /* use_change_of_basis flag is used to automatically compute a change of basis from constraints */
1215     pcbddc->use_change_of_basis = PETSC_FALSE;
1216     ierr = PCBDDCComputeLocalMatrix(pc,pcbddc->user_ChangeOfBasisMatrix);CHKERRQ(ierr);
1217   } else {
1218     ierr = MatDestroy(&pcbddc->local_mat);CHKERRQ(ierr);
1219     ierr = PetscObjectReference((PetscObject)matis->A);CHKERRQ(ierr);
1220     pcbddc->local_mat = matis->A;
1221   }
1222 
1223   /* Set up all the "iterative substructuring" common block without computing solvers */
1224   {
1225     Mat temp_mat;
1226 
1227     temp_mat = matis->A;
1228     matis->A = pcbddc->local_mat;
1229     ierr = PCISSetUp(pc,PETSC_FALSE);CHKERRQ(ierr);
1230     pcbddc->local_mat = matis->A;
1231     matis->A = temp_mat;
1232   }
1233 
1234   /* Analyze interface and setup sub_schurs data */
1235   if (computetopography) {
1236     ierr = PCBDDCAnalyzeInterface(pc);CHKERRQ(ierr);
1237   }
1238 
1239   /* Setup local dirichlet solver ksp_D and sub_schurs solvers */
1240   if (computesolvers) {
1241     ierr = PCBDDCSetUpLocalSolvers(pc,PETSC_TRUE,PETSC_FALSE);CHKERRQ(ierr);
1242     if (computesubschurs) {
1243       if (computetopography) {
1244         ierr = PCBDDCInitSubSchurs(pc);CHKERRQ(ierr);
1245       }
1246       ierr = PCBDDCSetUpSubSchurs(pc);CHKERRQ(ierr);
1247       if (pcbddc->adaptive_selection) {
1248         ierr = PCBDDCAdaptiveSelection(pc);CHKERRQ(ierr);
1249       }
1250     }
1251   }
1252 
1253   /* infer if NullSpace object attached to Mat via MatSetNearNullSpace has changed */
1254   new_nearnullspace_provided = PETSC_FALSE;
1255   ierr = MatGetNearNullSpace(pc->pmat,&nearnullspace);CHKERRQ(ierr);
1256   if (pcbddc->onearnullspace) { /* already used nearnullspace */
1257     if (!nearnullspace) { /* near null space attached to mat has been destroyed */
1258       new_nearnullspace_provided = PETSC_TRUE;
1259     } else {
1260       /* determine if the two nullspaces are different (should be lightweight) */
1261       if (nearnullspace != pcbddc->onearnullspace) {
1262         new_nearnullspace_provided = PETSC_TRUE;
1263       } else { /* maybe the user has changed the content of the nearnullspace so check vectors ObjectStateId */
1264         PetscInt         i;
1265         const Vec        *nearnullvecs;
1266         PetscObjectState state;
1267         PetscInt         nnsp_size;
1268         ierr = MatNullSpaceGetVecs(nearnullspace,NULL,&nnsp_size,&nearnullvecs);CHKERRQ(ierr);
1269         for (i=0;i<nnsp_size;i++) {
1270           ierr = PetscObjectStateGet((PetscObject)nearnullvecs[i],&state);CHKERRQ(ierr);
1271           if (pcbddc->onearnullvecs_state[i] != state) {
1272             new_nearnullspace_provided = PETSC_TRUE;
1273             break;
1274           }
1275         }
1276       }
1277     }
1278   } else {
1279     if (!nearnullspace) { /* both nearnullspaces are null */
1280       new_nearnullspace_provided = PETSC_FALSE;
1281     } else { /* nearnullspace attached later */
1282       new_nearnullspace_provided = PETSC_TRUE;
1283     }
1284   }
1285 #if 0
1286   if (adaptive) {
1287     /* join nullspaces */
1288   }
1289   /* set null space in BDDC */
1290 #endif
1291 
1292   /* Setup constraints and related work vectors */
1293   /* reset primal space flags */
1294   pcbddc->new_primal_space = PETSC_FALSE;
1295   pcbddc->new_primal_space_local = PETSC_FALSE;
1296   if (computetopography || new_nearnullspace_provided) {
1297     /* It also sets the primal space flags */
1298     ierr = PCBDDCConstraintsSetUp(pc);CHKERRQ(ierr);
1299     /* Allocate needed local vectors (which depends on quantities defined during ConstraintsSetUp) */
1300     ierr = PCBDDCSetUpLocalWorkVectors(pc);CHKERRQ(ierr);
1301 
1302     if (pcbddc->use_change_of_basis) {
1303       PC_IS *pcis = (PC_IS*)(pc->data);
1304 
1305       ierr = PCBDDCComputeLocalMatrix(pc,pcbddc->ChangeOfBasisMatrix);CHKERRQ(ierr);
1306       /* get submatrices */
1307       ierr = MatDestroy(&pcis->A_IB);CHKERRQ(ierr);
1308       ierr = MatDestroy(&pcis->A_BI);CHKERRQ(ierr);
1309       ierr = MatDestroy(&pcis->A_BB);CHKERRQ(ierr);
1310       ierr = MatGetSubMatrix(pcbddc->local_mat,pcis->is_B_local,pcis->is_B_local,MAT_INITIAL_MATRIX,&pcis->A_BB);CHKERRQ(ierr);
1311       ierr = MatGetSubMatrix(pcbddc->local_mat,pcis->is_I_local,pcis->is_B_local,MAT_INITIAL_MATRIX,&pcis->A_IB);CHKERRQ(ierr);
1312       ierr = MatGetSubMatrix(pcbddc->local_mat,pcis->is_B_local,pcis->is_I_local,MAT_INITIAL_MATRIX,&pcis->A_BI);CHKERRQ(ierr);
1313     } else if (!pcbddc->user_ChangeOfBasisMatrix) {
1314       ierr = MatDestroy(&pcbddc->local_mat);CHKERRQ(ierr);
1315       ierr = PetscObjectReference((PetscObject)matis->A);CHKERRQ(ierr);
1316       pcbddc->local_mat = matis->A;
1317     }
1318   }
1319 
1320   if (computesolvers || pcbddc->new_primal_space) {
1321     /* SetUp coarse and local Neumann solvers */
1322     ierr = PCBDDCSetUpSolvers(pc);CHKERRQ(ierr);
1323     /* SetUp Scaling operator */
1324     ierr = PCBDDCScalingSetUp(pc);CHKERRQ(ierr);
1325   }
1326 
1327   if (pcbddc->dbg_flag) {
1328     ierr = PetscViewerASCIISubtractTab(pcbddc->dbg_viewer,2*pcbddc->current_level);CHKERRQ(ierr);
1329   }
1330   PetscFunctionReturn(0);
1331 }
1332 
1333 /* -------------------------------------------------------------------------- */
1334 /*
1335    PCApply_BDDC - Applies the BDDC operator to a vector.
1336 
1337    Input Parameters:
1338 .  pc - the preconditioner context
1339 .  r - input vector (global)
1340 
1341    Output Parameter:
1342 .  z - output vector (global)
1343 
1344    Application Interface Routine: PCApply()
1345  */
1346 #undef __FUNCT__
1347 #define __FUNCT__ "PCApply_BDDC"
1348 PetscErrorCode PCApply_BDDC(PC pc,Vec r,Vec z)
1349 {
1350   PC_IS             *pcis = (PC_IS*)(pc->data);
1351   PC_BDDC           *pcbddc = (PC_BDDC*)(pc->data);
1352   PetscErrorCode    ierr;
1353   const PetscScalar one = 1.0;
1354   const PetscScalar m_one = -1.0;
1355   const PetscScalar zero = 0.0;
1356 
1357 /* This code is similar to that provided in nn.c for PCNN
1358    NN interface preconditioner changed to BDDC
1359    Added support for M_3 preconditioner in the reference article (code is active if pcbddc->switch_static = PETSC_TRUE) */
1360 
1361   PetscFunctionBegin;
1362   if (!pcbddc->use_exact_dirichlet_trick) {
1363     /* First Dirichlet solve */
1364     ierr = VecScatterBegin(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1365     ierr = VecScatterEnd(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1366     ierr = KSPSolve(pcbddc->ksp_D,pcis->vec1_D,pcis->vec2_D);CHKERRQ(ierr);
1367     /*
1368       Assembling right hand side for BDDC operator
1369       - pcis->vec1_D for the Dirichlet part (if needed, i.e. prec_flag=PETSC_TRUE)
1370       - pcis->vec1_B the interface part of the global vector z
1371     */
1372     ierr = VecScale(pcis->vec2_D,m_one);CHKERRQ(ierr);
1373     ierr = MatMult(pcis->A_BI,pcis->vec2_D,pcis->vec1_B);CHKERRQ(ierr);
1374     if (pcbddc->switch_static) { ierr = MatMultAdd(pcis->A_II,pcis->vec2_D,pcis->vec1_D,pcis->vec1_D);CHKERRQ(ierr); }
1375     ierr = VecScale(pcis->vec2_D,m_one);CHKERRQ(ierr);
1376     ierr = VecCopy(r,z);CHKERRQ(ierr);
1377     ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1378     ierr = VecScatterEnd(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1379     ierr = PCBDDCScalingRestriction(pc,z,pcis->vec1_B);CHKERRQ(ierr);
1380   } else {
1381     ierr = VecSet(pcis->vec1_D,zero);CHKERRQ(ierr);
1382     ierr = VecSet(pcis->vec2_D,zero);CHKERRQ(ierr);
1383     ierr = PCBDDCScalingRestriction(pc,r,pcis->vec1_B);CHKERRQ(ierr);
1384   }
1385 
1386   /* Apply interface preconditioner
1387      input/output vecs: pcis->vec1_B and pcis->vec1_D */
1388   ierr = PCBDDCApplyInterfacePreconditioner(pc,PETSC_FALSE);CHKERRQ(ierr);
1389 
1390   /* Apply transpose of partition of unity operator */
1391   ierr = PCBDDCScalingExtension(pc,pcis->vec1_B,z);CHKERRQ(ierr);
1392 
1393   /* Second Dirichlet solve and assembling of output */
1394   ierr = VecScatterBegin(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1395   ierr = VecScatterEnd(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1396   ierr = MatMult(pcis->A_IB,pcis->vec1_B,pcis->vec3_D);CHKERRQ(ierr);
1397   if (pcbddc->switch_static) { ierr = MatMultAdd(pcis->A_II,pcis->vec1_D,pcis->vec3_D,pcis->vec3_D);CHKERRQ(ierr); }
1398   ierr = KSPSolve(pcbddc->ksp_D,pcis->vec3_D,pcis->vec4_D);CHKERRQ(ierr);
1399   ierr = VecScale(pcis->vec4_D,m_one);CHKERRQ(ierr);
1400   if (pcbddc->switch_static) { ierr = VecAXPY(pcis->vec4_D,one,pcis->vec1_D);CHKERRQ(ierr); }
1401   ierr = VecAXPY(pcis->vec2_D,one,pcis->vec4_D);CHKERRQ(ierr);
1402   ierr = VecScatterBegin(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1403   ierr = VecScatterEnd(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1404   PetscFunctionReturn(0);
1405 }
1406 
1407 /* -------------------------------------------------------------------------- */
1408 /*
1409    PCApplyTranspose_BDDC - Applies the transpose of the BDDC operator to a vector.
1410 
1411    Input Parameters:
1412 .  pc - the preconditioner context
1413 .  r - input vector (global)
1414 
1415    Output Parameter:
1416 .  z - output vector (global)
1417 
1418    Application Interface Routine: PCApplyTranspose()
1419  */
1420 #undef __FUNCT__
1421 #define __FUNCT__ "PCApplyTranspose_BDDC"
1422 PetscErrorCode PCApplyTranspose_BDDC(PC pc,Vec r,Vec z)
1423 {
1424   PC_IS             *pcis = (PC_IS*)(pc->data);
1425   PC_BDDC           *pcbddc = (PC_BDDC*)(pc->data);
1426   PetscErrorCode    ierr;
1427   const PetscScalar one = 1.0;
1428   const PetscScalar m_one = -1.0;
1429   const PetscScalar zero = 0.0;
1430 
1431   PetscFunctionBegin;
1432   if (!pcbddc->use_exact_dirichlet_trick) {
1433     /* First Dirichlet solve */
1434     ierr = VecScatterBegin(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1435     ierr = VecScatterEnd(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1436     ierr = KSPSolveTranspose(pcbddc->ksp_D,pcis->vec1_D,pcis->vec2_D);CHKERRQ(ierr);
1437     /*
1438       Assembling right hand side for BDDC operator
1439       - pcis->vec1_D for the Dirichlet part (if needed, i.e. prec_flag=PETSC_TRUE)
1440       - pcis->vec1_B the interface part of the global vector z
1441     */
1442     ierr = VecScale(pcis->vec2_D,m_one);CHKERRQ(ierr);
1443     ierr = MatMultTranspose(pcis->A_IB,pcis->vec2_D,pcis->vec1_B);CHKERRQ(ierr);
1444     if (pcbddc->switch_static) { ierr = MatMultTransposeAdd(pcis->A_II,pcis->vec2_D,pcis->vec1_D,pcis->vec1_D);CHKERRQ(ierr); }
1445     ierr = VecScale(pcis->vec2_D,m_one);CHKERRQ(ierr);
1446     ierr = VecCopy(r,z);CHKERRQ(ierr);
1447     ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1448     ierr = VecScatterEnd(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1449     ierr = PCBDDCScalingRestriction(pc,z,pcis->vec1_B);CHKERRQ(ierr);
1450   } else {
1451     ierr = VecSet(pcis->vec1_D,zero);CHKERRQ(ierr);
1452     ierr = VecSet(pcis->vec2_D,zero);CHKERRQ(ierr);
1453     ierr = PCBDDCScalingRestriction(pc,r,pcis->vec1_B);CHKERRQ(ierr);
1454   }
1455 
1456   /* Apply interface preconditioner
1457      input/output vecs: pcis->vec1_B and pcis->vec1_D */
1458   ierr = PCBDDCApplyInterfacePreconditioner(pc,PETSC_TRUE);CHKERRQ(ierr);
1459 
1460   /* Apply transpose of partition of unity operator */
1461   ierr = PCBDDCScalingExtension(pc,pcis->vec1_B,z);CHKERRQ(ierr);
1462 
1463   /* Second Dirichlet solve and assembling of output */
1464   ierr = VecScatterBegin(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1465   ierr = VecScatterEnd(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1466   ierr = MatMultTranspose(pcis->A_BI,pcis->vec1_B,pcis->vec3_D);CHKERRQ(ierr);
1467   if (pcbddc->switch_static) { ierr = MatMultTransposeAdd(pcis->A_II,pcis->vec1_D,pcis->vec3_D,pcis->vec3_D);CHKERRQ(ierr); }
1468   ierr = KSPSolveTranspose(pcbddc->ksp_D,pcis->vec3_D,pcis->vec4_D);CHKERRQ(ierr);
1469   ierr = VecScale(pcis->vec4_D,m_one);CHKERRQ(ierr);
1470   if (pcbddc->switch_static) { ierr = VecAXPY(pcis->vec4_D,one,pcis->vec1_D);CHKERRQ(ierr); }
1471   ierr = VecAXPY(pcis->vec2_D,one,pcis->vec4_D);CHKERRQ(ierr);
1472   ierr = VecScatterBegin(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1473   ierr = VecScatterEnd(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1474   PetscFunctionReturn(0);
1475 }
1476 /* -------------------------------------------------------------------------- */
1477 
1478 #undef __FUNCT__
1479 #define __FUNCT__ "PCDestroy_BDDC"
1480 PetscErrorCode PCDestroy_BDDC(PC pc)
1481 {
1482   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
1483   PetscErrorCode ierr;
1484 
1485   PetscFunctionBegin;
1486   /* free data created by PCIS */
1487   ierr = PCISDestroy(pc);CHKERRQ(ierr);
1488   /* free BDDC custom data  */
1489   ierr = PCBDDCResetCustomization(pc);CHKERRQ(ierr);
1490   /* destroy objects related to topography */
1491   ierr = PCBDDCResetTopography(pc);CHKERRQ(ierr);
1492   /* free allocated graph structure */
1493   ierr = PetscFree(pcbddc->mat_graph);CHKERRQ(ierr);
1494   /* free allocated sub schurs structure */
1495   ierr = PetscFree(pcbddc->sub_schurs);CHKERRQ(ierr);
1496   /* destroy objects for scaling operator */
1497   ierr = PCBDDCScalingDestroy(pc);CHKERRQ(ierr);
1498   ierr = PetscFree(pcbddc->deluxe_ctx);CHKERRQ(ierr);
1499   /* free solvers stuff */
1500   ierr = PCBDDCResetSolvers(pc);CHKERRQ(ierr);
1501   /* free global vectors needed in presolve */
1502   ierr = VecDestroy(&pcbddc->temp_solution);CHKERRQ(ierr);
1503   ierr = VecDestroy(&pcbddc->original_rhs);CHKERRQ(ierr);
1504   /* free stuff for change of basis hooks */
1505   if (pcbddc->new_global_mat) {
1506     PCBDDCChange_ctx change_ctx;
1507     ierr = MatShellGetContext(pcbddc->new_global_mat,&change_ctx);CHKERRQ(ierr);
1508     ierr = MatDestroy(&change_ctx->original_mat);CHKERRQ(ierr);
1509     ierr = MatDestroy(&change_ctx->global_change);CHKERRQ(ierr);
1510     ierr = VecDestroyVecs(2,&change_ctx->work);CHKERRQ(ierr);
1511     ierr = PetscFree(change_ctx);CHKERRQ(ierr);
1512   }
1513   ierr = MatDestroy(&pcbddc->new_global_mat);CHKERRQ(ierr);
1514   /* remove functions */
1515   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetChangeOfBasisMat_C",NULL);CHKERRQ(ierr);
1516   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetPrimalVerticesLocalIS_C",NULL);CHKERRQ(ierr);
1517   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetCoarseningRatio_C",NULL);CHKERRQ(ierr);
1518   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevel_C",NULL);CHKERRQ(ierr);
1519   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetUseExactDirichlet_C",NULL);CHKERRQ(ierr);
1520   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevels_C",NULL);CHKERRQ(ierr);
1521   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNullSpace_C",NULL);CHKERRQ(ierr);
1522   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundaries_C",NULL);CHKERRQ(ierr);
1523   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundariesLocal_C",NULL);CHKERRQ(ierr);
1524   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundaries_C",NULL);CHKERRQ(ierr);
1525   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundariesLocal_C",NULL);CHKERRQ(ierr);
1526   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundaries_C",NULL);CHKERRQ(ierr);
1527   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundariesLocal_C",NULL);CHKERRQ(ierr);
1528   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundaries_C",NULL);CHKERRQ(ierr);
1529   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundariesLocal_C",NULL);CHKERRQ(ierr);
1530   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplitting_C",NULL);CHKERRQ(ierr);
1531   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplittingLocal_C",NULL);CHKERRQ(ierr);
1532   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLocalAdjacencyGraph_C",NULL);CHKERRQ(ierr);
1533   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCCreateFETIDPOperators_C",NULL);CHKERRQ(ierr);
1534   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetRHS_C",NULL);CHKERRQ(ierr);
1535   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetSolution_C",NULL);CHKERRQ(ierr);
1536   /* Free the private data structure */
1537   ierr = PetscFree(pc->data);CHKERRQ(ierr);
1538   PetscFunctionReturn(0);
1539 }
1540 /* -------------------------------------------------------------------------- */
1541 
1542 #undef __FUNCT__
1543 #define __FUNCT__ "PCBDDCMatFETIDPGetRHS_BDDC"
1544 static PetscErrorCode PCBDDCMatFETIDPGetRHS_BDDC(Mat fetidp_mat, Vec standard_rhs, Vec fetidp_flux_rhs)
1545 {
1546   FETIDPMat_ctx  mat_ctx;
1547   Vec            copy_standard_rhs;
1548   PC_IS*         pcis;
1549   PC_BDDC*       pcbddc;
1550   PetscErrorCode ierr;
1551 
1552   PetscFunctionBegin;
1553   ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr);
1554   pcis = (PC_IS*)mat_ctx->pc->data;
1555   pcbddc = (PC_BDDC*)mat_ctx->pc->data;
1556 
1557   /*
1558      change of basis for physical rhs if needed
1559      It also changes the rhs in case of dirichlet boundaries
1560      TODO: better management when FETIDP will have its own class
1561   */
1562   ierr = VecDuplicate(standard_rhs,&copy_standard_rhs);CHKERRQ(ierr);
1563   ierr = VecCopy(standard_rhs,copy_standard_rhs);CHKERRQ(ierr);
1564   ierr = PCPreSolve_BDDC(mat_ctx->pc,NULL,copy_standard_rhs,NULL);CHKERRQ(ierr);
1565   /* store vectors for computation of fetidp final solution */
1566   ierr = VecScatterBegin(pcis->global_to_D,copy_standard_rhs,mat_ctx->temp_solution_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1567   ierr = VecScatterEnd(pcis->global_to_D,copy_standard_rhs,mat_ctx->temp_solution_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1568   /* scale rhs since it should be unassembled */
1569   /* TODO use counter scaling? (also below) */
1570   ierr = VecScatterBegin(pcis->global_to_B,copy_standard_rhs,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1571   ierr = VecScatterEnd(pcis->global_to_B,copy_standard_rhs,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1572   /* Apply partition of unity */
1573   ierr = VecPointwiseMult(mat_ctx->temp_solution_B,pcis->D,mat_ctx->temp_solution_B);CHKERRQ(ierr);
1574   /* ierr = PCBDDCScalingRestriction(mat_ctx->pc,copy_standard_rhs,mat_ctx->temp_solution_B);CHKERRQ(ierr); */
1575   if (!pcbddc->switch_static) {
1576     /* compute partially subassembled Schur complement right-hand side */
1577     ierr = KSPSolve(pcbddc->ksp_D,mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr);
1578     ierr = MatMult(pcis->A_BI,pcis->vec1_D,pcis->vec1_B);CHKERRQ(ierr);
1579     ierr = VecAXPY(mat_ctx->temp_solution_B,-1.0,pcis->vec1_B);CHKERRQ(ierr);
1580     ierr = VecSet(copy_standard_rhs,0.0);CHKERRQ(ierr);
1581     ierr = VecScatterBegin(pcis->global_to_B,mat_ctx->temp_solution_B,copy_standard_rhs,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1582     ierr = VecScatterEnd(pcis->global_to_B,mat_ctx->temp_solution_B,copy_standard_rhs,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1583     /* ierr = PCBDDCScalingRestriction(mat_ctx->pc,copy_standard_rhs,mat_ctx->temp_solution_B);CHKERRQ(ierr); */
1584     ierr = VecScatterBegin(pcis->global_to_B,copy_standard_rhs,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1585     ierr = VecScatterEnd(pcis->global_to_B,copy_standard_rhs,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1586     ierr = VecPointwiseMult(mat_ctx->temp_solution_B,pcis->D,mat_ctx->temp_solution_B);CHKERRQ(ierr);
1587   }
1588   ierr = VecDestroy(&copy_standard_rhs);CHKERRQ(ierr);
1589   /* BDDC rhs */
1590   ierr = VecCopy(mat_ctx->temp_solution_B,pcis->vec1_B);CHKERRQ(ierr);
1591   if (pcbddc->switch_static) {
1592     ierr = VecCopy(mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr);
1593   }
1594   /* apply BDDC */
1595   ierr = PCBDDCApplyInterfacePreconditioner(mat_ctx->pc,PETSC_FALSE);CHKERRQ(ierr);
1596   /* Application of B_delta and assembling of rhs for fetidp fluxes */
1597   ierr = VecSet(fetidp_flux_rhs,0.0);CHKERRQ(ierr);
1598   ierr = MatMult(mat_ctx->B_delta,pcis->vec1_B,mat_ctx->lambda_local);CHKERRQ(ierr);
1599   ierr = VecScatterBegin(mat_ctx->l2g_lambda,mat_ctx->lambda_local,fetidp_flux_rhs,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1600   ierr = VecScatterEnd(mat_ctx->l2g_lambda,mat_ctx->lambda_local,fetidp_flux_rhs,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1601   PetscFunctionReturn(0);
1602 }
1603 
1604 #undef __FUNCT__
1605 #define __FUNCT__ "PCBDDCMatFETIDPGetRHS"
1606 /*@
1607  PCBDDCMatFETIDPGetRHS - Compute the right-hand side for FETIDP linear system
1608 
1609    Collective
1610 
1611    Input Parameters:
1612 +  fetidp_mat   - the FETIDP matrix object obtained by calling PCBDDCCreateFETIDPOperators
1613 .  standard_rhs - the right-hand side for your linear system
1614 
1615    Output Parameters:
1616 -  fetidp_flux_rhs   - the right-hand side for the FETIDP linear system
1617 
1618    Level: developer
1619 
1620    Notes:
1621 
1622 .seealso: PCBDDC,PCBDDCCreateFETIDPOperators
1623 @*/
1624 PetscErrorCode PCBDDCMatFETIDPGetRHS(Mat fetidp_mat, Vec standard_rhs, Vec fetidp_flux_rhs)
1625 {
1626   FETIDPMat_ctx  mat_ctx;
1627   PetscErrorCode ierr;
1628 
1629   PetscFunctionBegin;
1630   ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr);
1631   ierr = PetscTryMethod(mat_ctx->pc,"PCBDDCMatFETIDPGetRHS_C",(Mat,Vec,Vec),(fetidp_mat,standard_rhs,fetidp_flux_rhs));CHKERRQ(ierr);
1632   PetscFunctionReturn(0);
1633 }
1634 /* -------------------------------------------------------------------------- */
1635 
1636 #undef __FUNCT__
1637 #define __FUNCT__ "PCBDDCMatFETIDPGetSolution_BDDC"
1638 static PetscErrorCode PCBDDCMatFETIDPGetSolution_BDDC(Mat fetidp_mat, Vec fetidp_flux_sol, Vec standard_sol)
1639 {
1640   FETIDPMat_ctx  mat_ctx;
1641   PC_IS*         pcis;
1642   PC_BDDC*       pcbddc;
1643   PetscErrorCode ierr;
1644 
1645   PetscFunctionBegin;
1646   ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr);
1647   pcis = (PC_IS*)mat_ctx->pc->data;
1648   pcbddc = (PC_BDDC*)mat_ctx->pc->data;
1649 
1650   /* apply B_delta^T */
1651   ierr = VecScatterBegin(mat_ctx->l2g_lambda,fetidp_flux_sol,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1652   ierr = VecScatterEnd  (mat_ctx->l2g_lambda,fetidp_flux_sol,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1653   ierr = MatMultTranspose(mat_ctx->B_delta,mat_ctx->lambda_local,pcis->vec1_B);CHKERRQ(ierr);
1654   /* compute rhs for BDDC application */
1655   ierr = VecAYPX(pcis->vec1_B,-1.0,mat_ctx->temp_solution_B);CHKERRQ(ierr);
1656   if (pcbddc->switch_static) {
1657     ierr = VecCopy(mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr);
1658   }
1659   /* apply BDDC */
1660   ierr = PCBDDCApplyInterfacePreconditioner(mat_ctx->pc,PETSC_FALSE);CHKERRQ(ierr);
1661   /* put values into standard global vector */
1662   ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_B,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1663   ierr = VecScatterEnd  (pcis->global_to_B,pcis->vec1_B,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1664   if (!pcbddc->switch_static) {
1665     /* compute values into the interior if solved for the partially subassembled Schur complement */
1666     ierr = MatMult(pcis->A_IB,pcis->vec1_B,pcis->vec1_D);CHKERRQ(ierr);
1667     ierr = VecAXPY(mat_ctx->temp_solution_D,-1.0,pcis->vec1_D);CHKERRQ(ierr);
1668     ierr = KSPSolve(pcbddc->ksp_D,mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr);
1669   }
1670   ierr = VecScatterBegin(pcis->global_to_D,pcis->vec1_D,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1671   ierr = VecScatterEnd  (pcis->global_to_D,pcis->vec1_D,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1672   /* final change of basis if needed
1673      Is also sums the dirichlet part removed during RHS assembling */
1674   ierr = PCPostSolve_BDDC(mat_ctx->pc,NULL,NULL,standard_sol);CHKERRQ(ierr);
1675   PetscFunctionReturn(0);
1676 }
1677 
1678 #undef __FUNCT__
1679 #define __FUNCT__ "PCBDDCMatFETIDPGetSolution"
1680 /*@
1681  PCBDDCMatFETIDPGetSolution - Compute the physical solution from the solution of the FETIDP linear system
1682 
1683    Collective
1684 
1685    Input Parameters:
1686 +  fetidp_mat        - the FETIDP matrix obtained by calling PCBDDCCreateFETIDPOperators
1687 .  fetidp_flux_sol - the solution of the FETIDP linear system
1688 
1689    Output Parameters:
1690 -  standard_sol      - the solution defined on the physical domain
1691 
1692    Level: developer
1693 
1694    Notes:
1695 
1696 .seealso: PCBDDC,PCBDDCCreateFETIDPOperators
1697 @*/
1698 PetscErrorCode PCBDDCMatFETIDPGetSolution(Mat fetidp_mat, Vec fetidp_flux_sol, Vec standard_sol)
1699 {
1700   FETIDPMat_ctx  mat_ctx;
1701   PetscErrorCode ierr;
1702 
1703   PetscFunctionBegin;
1704   ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr);
1705   ierr = PetscTryMethod(mat_ctx->pc,"PCBDDCMatFETIDPGetSolution_C",(Mat,Vec,Vec),(fetidp_mat,fetidp_flux_sol,standard_sol));CHKERRQ(ierr);
1706   PetscFunctionReturn(0);
1707 }
1708 /* -------------------------------------------------------------------------- */
1709 
1710 extern PetscErrorCode FETIDPMatMult(Mat,Vec,Vec);
1711 extern PetscErrorCode FETIDPMatMultTranspose(Mat,Vec,Vec);
1712 extern PetscErrorCode PCBDDCDestroyFETIDPMat(Mat);
1713 extern PetscErrorCode FETIDPPCApply(PC,Vec,Vec);
1714 extern PetscErrorCode FETIDPPCApplyTranspose(PC,Vec,Vec);
1715 extern PetscErrorCode PCBDDCDestroyFETIDPPC(PC);
1716 
1717 #undef __FUNCT__
1718 #define __FUNCT__ "PCBDDCCreateFETIDPOperators_BDDC"
1719 static PetscErrorCode PCBDDCCreateFETIDPOperators_BDDC(PC pc, Mat *fetidp_mat, PC *fetidp_pc)
1720 {
1721 
1722   FETIDPMat_ctx  fetidpmat_ctx;
1723   Mat            newmat;
1724   FETIDPPC_ctx   fetidppc_ctx;
1725   PC             newpc;
1726   MPI_Comm       comm;
1727   PetscErrorCode ierr;
1728 
1729   PetscFunctionBegin;
1730   ierr = PetscObjectGetComm((PetscObject)pc,&comm);CHKERRQ(ierr);
1731   /* FETIDP linear matrix */
1732   ierr = PCBDDCCreateFETIDPMatContext(pc,&fetidpmat_ctx);CHKERRQ(ierr);
1733   ierr = PCBDDCSetupFETIDPMatContext(fetidpmat_ctx);CHKERRQ(ierr);
1734   ierr = MatCreateShell(comm,PETSC_DECIDE,PETSC_DECIDE,fetidpmat_ctx->n_lambda,fetidpmat_ctx->n_lambda,fetidpmat_ctx,&newmat);CHKERRQ(ierr);
1735   ierr = MatShellSetOperation(newmat,MATOP_MULT,(void (*)(void))FETIDPMatMult);CHKERRQ(ierr);
1736   ierr = MatShellSetOperation(newmat,MATOP_MULT_TRANSPOSE,(void (*)(void))FETIDPMatMultTranspose);CHKERRQ(ierr);
1737   ierr = MatShellSetOperation(newmat,MATOP_DESTROY,(void (*)(void))PCBDDCDestroyFETIDPMat);CHKERRQ(ierr);
1738   ierr = MatSetUp(newmat);CHKERRQ(ierr);
1739   /* FETIDP preconditioner */
1740   ierr = PCBDDCCreateFETIDPPCContext(pc,&fetidppc_ctx);CHKERRQ(ierr);
1741   ierr = PCBDDCSetupFETIDPPCContext(newmat,fetidppc_ctx);CHKERRQ(ierr);
1742   ierr = PCCreate(comm,&newpc);CHKERRQ(ierr);
1743   ierr = PCSetType(newpc,PCSHELL);CHKERRQ(ierr);
1744   ierr = PCShellSetContext(newpc,fetidppc_ctx);CHKERRQ(ierr);
1745   ierr = PCShellSetApply(newpc,FETIDPPCApply);CHKERRQ(ierr);
1746   ierr = PCShellSetApplyTranspose(newpc,FETIDPPCApplyTranspose);CHKERRQ(ierr);
1747   ierr = PCShellSetDestroy(newpc,PCBDDCDestroyFETIDPPC);CHKERRQ(ierr);
1748   ierr = PCSetOperators(newpc,newmat,newmat);CHKERRQ(ierr);
1749   ierr = PCSetUp(newpc);CHKERRQ(ierr);
1750   /* return pointers for objects created */
1751   *fetidp_mat=newmat;
1752   *fetidp_pc=newpc;
1753   PetscFunctionReturn(0);
1754 }
1755 
1756 #undef __FUNCT__
1757 #define __FUNCT__ "PCBDDCCreateFETIDPOperators"
1758 /*@
1759  PCBDDCCreateFETIDPOperators - Create operators for FETIDP
1760 
1761    Collective
1762 
1763    Input Parameters:
1764 +  pc - the BDDC preconditioning context already setup
1765 
1766    Output Parameters:
1767 .  fetidp_mat - shell FETIDP matrix object
1768 .  fetidp_pc  - shell Dirichlet preconditioner for FETIDP matrix
1769 
1770    Options Database Keys:
1771 -    -fetidp_fullyredundant: use or not a fully redundant set of Lagrange multipliers
1772 
1773    Level: developer
1774 
1775    Notes:
1776      Currently the only operation provided for FETIDP matrix is MatMult
1777 
1778 .seealso: PCBDDC
1779 @*/
1780 PetscErrorCode PCBDDCCreateFETIDPOperators(PC pc, Mat *fetidp_mat, PC *fetidp_pc)
1781 {
1782   PetscErrorCode ierr;
1783 
1784   PetscFunctionBegin;
1785   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
1786   if (pc->setupcalled) {
1787     ierr = PetscUseMethod(pc,"PCBDDCCreateFETIDPOperators_C",(PC,Mat*,PC*),(pc,fetidp_mat,fetidp_pc));CHKERRQ(ierr);
1788   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"You must call PCSetup_BDDC() first \n");
1789   PetscFunctionReturn(0);
1790 }
1791 /* -------------------------------------------------------------------------- */
1792 /*MC
1793    PCBDDC - Balancing Domain Decomposition by Constraints.
1794 
1795    An implementation of the BDDC preconditioner based on
1796 
1797 .vb
1798    [1] C. R. Dohrmann. "An approximate BDDC preconditioner", Numerical Linear Algebra with Applications Volume 14, Issue 2, pages 149-168, March 2007
1799    [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
1800    [3] J. Mandel, B. Sousedik, C. R. Dohrmann. "Multispace and Multilevel BDDC", http://arxiv.org/abs/0712.3977
1801 .ve
1802 
1803    The matrix to be preconditioned (Pmat) must be of type MATIS.
1804 
1805    Currently works with MATIS matrices with local Neumann matrices of type MATSEQAIJ, MATSEQBAIJ or MATSEQSBAIJ, either with real or complex numbers.
1806 
1807    It also works with unsymmetric and indefinite problems.
1808 
1809    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.
1810 
1811    Approximate local solvers are automatically adapted for singular linear problems (see [1]) if the user has provided the nullspace using PCBDDCSetNullSpace
1812 
1813    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()
1814 
1815    Constraints can be customized by attaching a MatNullSpace object to the MATIS matrix via MatSetNearNullSpace().
1816 
1817    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.
1818 
1819    The PETSc implementation also supports multilevel BDDC [3]. Coarse grids are partitioned using MatPartitioning object.
1820 
1821    Options Database Keys:
1822 
1823 .    -pc_bddc_use_vertices <1> - use or not vertices in primal space
1824 .    -pc_bddc_use_edges <1> - use or not edges in primal space
1825 .    -pc_bddc_use_faces <0> - use or not faces in primal space
1826 .    -pc_bddc_use_change_of_basis <0> - use change of basis approach (on edges only)
1827 .    -pc_bddc_use_change_on_faces <0> - use change of basis approach on faces if change of basis has been requested
1828 .    -pc_bddc_switch_static <0> - switches from M_2 to M_3 operator (see reference article [1])
1829 .    -pc_bddc_levels <0> - maximum number of levels for multilevel
1830 .    -pc_bddc_coarsening_ratio - H/h ratio at the coarser level
1831 -    -pc_bddc_check_level <0> - set verbosity level of debugging output
1832 
1833    Options for Dirichlet, Neumann or coarse solver can be set with
1834 .vb
1835       -pc_bddc_dirichlet_
1836       -pc_bddc_neumann_
1837       -pc_bddc_coarse_
1838 .ve
1839    e.g -pc_bddc_dirichlet_ksp_type richardson -pc_bddc_dirichlet_pc_type gamg
1840 
1841    When using a multilevel approach, solvers' options at the N-th level can be specified as
1842 .vb
1843       -pc_bddc_dirichlet_lN_
1844       -pc_bddc_neumann_lN_
1845       -pc_bddc_coarse_lN_
1846 .ve
1847    Note that level number ranges from the finest 0 to the coarsest N.
1848 
1849    Level: intermediate
1850 
1851    Developer notes:
1852 
1853    New deluxe scaling operator will be available soon.
1854 
1855    Contributed by Stefano Zampini
1856 
1857 .seealso:  PCCreate(), PCSetType(), PCType (for list of available types), PC,  MATIS
1858 M*/
1859 
1860 #undef __FUNCT__
1861 #define __FUNCT__ "PCCreate_BDDC"
1862 PETSC_EXTERN PetscErrorCode PCCreate_BDDC(PC pc)
1863 {
1864   PetscErrorCode      ierr;
1865   PC_BDDC             *pcbddc;
1866 
1867   PetscFunctionBegin;
1868   /* Creates the private data structure for this preconditioner and attach it to the PC object. */
1869   ierr      = PetscNewLog(pc,&pcbddc);CHKERRQ(ierr);
1870   pc->data  = (void*)pcbddc;
1871 
1872   /* create PCIS data structure */
1873   ierr = PCISCreate(pc);CHKERRQ(ierr);
1874 
1875   /* BDDC customization */
1876   pcbddc->use_local_adj       = PETSC_TRUE;
1877   pcbddc->use_vertices        = PETSC_TRUE;
1878   pcbddc->use_edges           = PETSC_TRUE;
1879   pcbddc->use_faces           = PETSC_FALSE;
1880   pcbddc->use_change_of_basis = PETSC_FALSE;
1881   pcbddc->use_change_on_faces = PETSC_FALSE;
1882   pcbddc->switch_static       = PETSC_FALSE;
1883   pcbddc->use_nnsp_true       = PETSC_FALSE;
1884   pcbddc->use_qr_single       = PETSC_FALSE;
1885   pcbddc->dbg_flag            = 0;
1886   /* private */
1887   pcbddc->issym                      = PETSC_FALSE;
1888   pcbddc->local_primal_size          = 0;
1889   pcbddc->n_vertices                 = 0;
1890   pcbddc->n_actual_vertices          = 0;
1891   pcbddc->n_constraints              = 0;
1892   pcbddc->primal_indices_local_idxs  = 0;
1893   pcbddc->recompute_topography       = PETSC_FALSE;
1894   pcbddc->coarse_size                = -1;
1895   pcbddc->new_primal_space           = PETSC_FALSE;
1896   pcbddc->new_primal_space_local     = PETSC_FALSE;
1897   pcbddc->global_primal_indices      = 0;
1898   pcbddc->onearnullspace             = 0;
1899   pcbddc->onearnullvecs_state        = 0;
1900   pcbddc->user_primal_vertices       = 0;
1901   pcbddc->NullSpace                  = 0;
1902   pcbddc->temp_solution              = 0;
1903   pcbddc->original_rhs               = 0;
1904   pcbddc->local_mat                  = 0;
1905   pcbddc->ChangeOfBasisMatrix        = 0;
1906   pcbddc->user_ChangeOfBasisMatrix   = 0;
1907   pcbddc->new_global_mat             = 0;
1908   pcbddc->coarse_vec                 = 0;
1909   pcbddc->coarse_rhs                 = 0;
1910   pcbddc->coarse_ksp                 = 0;
1911   pcbddc->coarse_phi_B               = 0;
1912   pcbddc->coarse_phi_D               = 0;
1913   pcbddc->coarse_psi_B               = 0;
1914   pcbddc->coarse_psi_D               = 0;
1915   pcbddc->vec1_P                     = 0;
1916   pcbddc->vec1_R                     = 0;
1917   pcbddc->vec2_R                     = 0;
1918   pcbddc->local_auxmat1              = 0;
1919   pcbddc->local_auxmat2              = 0;
1920   pcbddc->R_to_B                     = 0;
1921   pcbddc->R_to_D                     = 0;
1922   pcbddc->ksp_D                      = 0;
1923   pcbddc->ksp_R                      = 0;
1924   pcbddc->NeumannBoundaries          = 0;
1925   pcbddc->NeumannBoundariesLocal     = 0;
1926   pcbddc->DirichletBoundaries        = 0;
1927   pcbddc->DirichletBoundariesLocal   = 0;
1928   pcbddc->user_provided_isfordofs    = PETSC_FALSE;
1929   pcbddc->n_ISForDofs                = 0;
1930   pcbddc->n_ISForDofsLocal           = 0;
1931   pcbddc->ISForDofs                  = 0;
1932   pcbddc->ISForDofsLocal             = 0;
1933   pcbddc->ConstraintMatrix           = 0;
1934   pcbddc->use_exact_dirichlet_trick  = PETSC_TRUE;
1935   pcbddc->coarse_loc_to_glob         = 0;
1936   pcbddc->coarsening_ratio           = 8;
1937   pcbddc->current_level              = 0;
1938   pcbddc->max_levels                 = 0;
1939   pcbddc->use_coarse_estimates       = PETSC_FALSE;
1940   pcbddc->redistribute_coarse        = 0;
1941   pcbddc->coarse_subassembling       = 0;
1942   pcbddc->coarse_subassembling_init  = 0;
1943 
1944   /* create local graph structure */
1945   ierr = PCBDDCGraphCreate(&pcbddc->mat_graph);CHKERRQ(ierr);
1946 
1947   /* scaling */
1948   pcbddc->work_scaling          = 0;
1949   pcbddc->use_deluxe_scaling    = PETSC_FALSE;
1950 
1951   /* create sub schurs structure */
1952   ierr = PCBDDCSubSchursCreate(&pcbddc->sub_schurs);CHKERRQ(ierr);
1953   pcbddc->sub_schurs_threshold   = -1;
1954   pcbddc->sub_schurs_rebuild     = PETSC_FALSE;
1955   pcbddc->sub_schurs_layers      = -1;
1956   pcbddc->sub_schurs_use_useradj = PETSC_FALSE;
1957 
1958   pcbddc->computed_rowadj = PETSC_FALSE;
1959 
1960   /* adaptivity */
1961   pcbddc->adaptive_threshold = -1.0;
1962   pcbddc->adaptive_nmax      = 0;
1963   pcbddc->adaptive_nmin      = 0;
1964 
1965   /* function pointers */
1966   pc->ops->apply               = PCApply_BDDC;
1967   pc->ops->applytranspose      = PCApplyTranspose_BDDC;
1968   pc->ops->setup               = PCSetUp_BDDC;
1969   pc->ops->destroy             = PCDestroy_BDDC;
1970   pc->ops->setfromoptions      = PCSetFromOptions_BDDC;
1971   pc->ops->view                = 0;
1972   pc->ops->applyrichardson     = 0;
1973   pc->ops->applysymmetricleft  = 0;
1974   pc->ops->applysymmetricright = 0;
1975   pc->ops->presolve            = PCPreSolve_BDDC;
1976   pc->ops->postsolve           = PCPostSolve_BDDC;
1977 
1978   /* composing function */
1979   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetChangeOfBasisMat_C",PCBDDCSetChangeOfBasisMat_BDDC);CHKERRQ(ierr);
1980   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetPrimalVerticesLocalIS_C",PCBDDCSetPrimalVerticesLocalIS_BDDC);CHKERRQ(ierr);
1981   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetCoarseningRatio_C",PCBDDCSetCoarseningRatio_BDDC);CHKERRQ(ierr);
1982   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevel_C",PCBDDCSetLevel_BDDC);CHKERRQ(ierr);
1983   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetUseExactDirichlet_C",PCBDDCSetUseExactDirichlet_BDDC);CHKERRQ(ierr);
1984   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevels_C",PCBDDCSetLevels_BDDC);CHKERRQ(ierr);
1985   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNullSpace_C",PCBDDCSetNullSpace_BDDC);CHKERRQ(ierr);
1986   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundaries_C",PCBDDCSetDirichletBoundaries_BDDC);CHKERRQ(ierr);
1987   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundariesLocal_C",PCBDDCSetDirichletBoundariesLocal_BDDC);CHKERRQ(ierr);
1988   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundaries_C",PCBDDCSetNeumannBoundaries_BDDC);CHKERRQ(ierr);
1989   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundariesLocal_C",PCBDDCSetNeumannBoundariesLocal_BDDC);CHKERRQ(ierr);
1990   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundaries_C",PCBDDCGetDirichletBoundaries_BDDC);CHKERRQ(ierr);
1991   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundariesLocal_C",PCBDDCGetDirichletBoundariesLocal_BDDC);CHKERRQ(ierr);
1992   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundaries_C",PCBDDCGetNeumannBoundaries_BDDC);CHKERRQ(ierr);
1993   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundariesLocal_C",PCBDDCGetNeumannBoundariesLocal_BDDC);CHKERRQ(ierr);
1994   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplitting_C",PCBDDCSetDofsSplitting_BDDC);CHKERRQ(ierr);
1995   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplittingLocal_C",PCBDDCSetDofsSplittingLocal_BDDC);CHKERRQ(ierr);
1996   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLocalAdjacencyGraph_C",PCBDDCSetLocalAdjacencyGraph_BDDC);CHKERRQ(ierr);
1997   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCCreateFETIDPOperators_C",PCBDDCCreateFETIDPOperators_BDDC);CHKERRQ(ierr);
1998   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetRHS_C",PCBDDCMatFETIDPGetRHS_BDDC);CHKERRQ(ierr);
1999   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetSolution_C",PCBDDCMatFETIDPGetSolution_BDDC);CHKERRQ(ierr);
2000   PetscFunctionReturn(0);
2001 }
2002 
2003