xref: /petsc/src/ksp/pc/impls/bddc/bddc.c (revision d65f70fd938573fec9f4e0f30225958f4666553f)
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    - ** GetRid of PCBDDCApplySchur, use MatSchur instead
22    - *** Is it possible to work with PCBDDCGraph on boundary indices only (less memory consumed)?
23    - add support for computing h,H and related using coordinates?
24    - Change of basis approach does not work with my nonlinear mechanics example. why? (seems not an issue with l2gmap)
25    - Better management in PCIS code
26    - BDDC with MG framework?
27 
28    FETIDP
29    - Move FETIDP code to its own classes
30 
31    MATIS related operations contained in BDDC code
32    - Provide general case for subassembling
33    - *** Preallocation routines in MatISGetMPIAXAIJ
34 
35 */
36 
37 /* ----------------------------------------------------------------------------------------------------------------------------------------------
38    Implementation of BDDC preconditioner based on:
39    C. Dohrmann "An approximate BDDC preconditioner", Numerical Linear Algebra with Applications Volume 14, Issue 2, pages 149-168, March 2007
40    ---------------------------------------------------------------------------------------------------------------------------------------------- */
41 
42 #include <../src/ksp/pc/impls/bddc/bddc.h> /*I "petscpc.h" I*/  /* includes for fortran wrappers */
43 #include <../src/ksp/pc/impls/bddc/bddcprivate.h>
44 #include <petscblaslapack.h>
45 
46 /* -------------------------------------------------------------------------- */
47 #undef __FUNCT__
48 #define __FUNCT__ "PCSetFromOptions_BDDC"
49 PetscErrorCode PCSetFromOptions_BDDC(PC pc)
50 {
51   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
52   PetscErrorCode ierr;
53 
54   PetscFunctionBegin;
55   ierr = PetscOptionsHead("BDDC options");CHKERRQ(ierr);
56   /* Verbose debugging */
57   ierr = PetscOptionsInt("-pc_bddc_check_level","Verbose output for PCBDDC (intended for debug)","none",pcbddc->dbg_flag,&pcbddc->dbg_flag,NULL);CHKERRQ(ierr);
58   /* Primal space cumstomization */
59   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);
60   ierr = PetscOptionsBool("-pc_bddc_use_vertices","Use or not corner dofs in coarse space","none",pcbddc->use_vertices,&pcbddc->use_vertices,NULL);CHKERRQ(ierr);
61   ierr = PetscOptionsBool("-pc_bddc_use_edges","Use or not edge constraints in coarse space","none",pcbddc->use_edges,&pcbddc->use_edges,NULL);CHKERRQ(ierr);
62   ierr = PetscOptionsBool("-pc_bddc_use_faces","Use or not face constraints in coarse space","none",pcbddc->use_faces,&pcbddc->use_faces,NULL);CHKERRQ(ierr);
63   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);
64   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);
65   /* Change of basis */
66   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);
67   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);
68   if (!pcbddc->use_change_of_basis) {
69     pcbddc->use_change_on_faces = PETSC_FALSE;
70   }
71   /* Switch between M_2 (default) and M_3 preconditioners (as defined by C. Dohrmann in the ref. article) */
72   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);
73   ierr = PetscOptionsInt("-pc_bddc_coarse_redistribute","Number of procs where to redistribute coarse problem","none",pcbddc->redistribute_coarse,&pcbddc->redistribute_coarse,NULL);CHKERRQ(ierr);
74   ierr = PetscOptionsInt("-pc_bddc_coarsening_ratio","Set coarsening ratio used in multilevel coarsening","none",pcbddc->coarsening_ratio,&pcbddc->coarsening_ratio,NULL);CHKERRQ(ierr);
75   ierr = PetscOptionsInt("-pc_bddc_levels","Set maximum number of levels for multilevel","none",pcbddc->max_levels,&pcbddc->max_levels,NULL);CHKERRQ(ierr);
76   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);
77   ierr = PetscOptionsBool("-pc_bddc_use_deluxe_scaling","Use deluxe scaling for BDDC","none",pcbddc->use_deluxe_scaling,&pcbddc->use_deluxe_scaling,NULL);CHKERRQ(ierr);
78   ierr = PetscOptionsInt("-pc_bddc_deluxe_threshold","Deluxe subproblems (Schur principal minors) smaller than this value are explicilty computed (-1 computes all)","none",pcbddc->deluxe_threshold,&pcbddc->deluxe_threshold,NULL);CHKERRQ(ierr);
79   ierr = PetscOptionsBool("-pc_bddc_deluxe_rebuild","Whether or not the interface graph for deluxe has to be rebuilt (i.e. use a standard definition of the interface)","none",pcbddc->deluxe_rebuild,&pcbddc->deluxe_rebuild,NULL);CHKERRQ(ierr);
80   ierr = PetscOptionsInt("-pc_bddc_deluxe_layers","Number of dofs' layers for the application of deluxe cheap version (i.e. -1 uses all dofs)","none",pcbddc->deluxe_layers,&pcbddc->deluxe_layers,NULL);CHKERRQ(ierr);
81   ierr = PetscOptionsBool("-pc_bddc_deluxe_use_useradj","Whether or not the CSR graph specified by the user should be used for computing layers (default is to use adj of local mat)","none",pcbddc->deluxe_use_useradj,&pcbddc->deluxe_use_useradj,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,*array_diagonal;
991 
992     ierr = MatGetDiagonal(pc->pmat,pcis->vec1_global);CHKERRQ(ierr);
993     ierr = VecPointwiseDivide(pcis->vec1_global,rhs,pcis->vec1_global);CHKERRQ(ierr);
994     ierr = VecScatterBegin(matis->ctx,pcis->vec1_global,pcis->vec2_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
995     ierr = VecScatterEnd(matis->ctx,pcis->vec1_global,pcis->vec2_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
996     ierr = VecScatterBegin(matis->ctx,used_vec,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
997     ierr = VecScatterEnd(matis->ctx,used_vec,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
998     ierr = ISGetLocalSize(dirIS,&dirsize);CHKERRQ(ierr);
999     ierr = VecGetArray(pcis->vec1_N,&array_x);CHKERRQ(ierr);
1000     ierr = VecGetArray(pcis->vec2_N,&array_diagonal);CHKERRQ(ierr);
1001     ierr = ISGetIndices(dirIS,(const PetscInt**)&is_indices);CHKERRQ(ierr);
1002     for (i=0; i<dirsize; i++) array_x[is_indices[i]] = array_diagonal[is_indices[i]];
1003     ierr = ISRestoreIndices(dirIS,(const PetscInt**)&is_indices);CHKERRQ(ierr);
1004     ierr = VecRestoreArray(pcis->vec2_N,&array_diagonal);CHKERRQ(ierr);
1005     ierr = VecRestoreArray(pcis->vec1_N,&array_x);CHKERRQ(ierr);
1006     ierr = VecScatterBegin(matis->ctx,pcis->vec1_N,used_vec,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1007     ierr = VecScatterEnd(matis->ctx,pcis->vec1_N,used_vec,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1008     pcbddc->rhs_change = PETSC_TRUE;
1009   }
1010 
1011   /* remove the computed solution or the initial guess from the rhs */
1012   if (pcbddc->rhs_change || (ksp && pcbddc->ksp_guess_nonzero) ) {
1013     /* store the original rhs */
1014     if (copy_rhs) {
1015       ierr = VecCopy(rhs,pcbddc->original_rhs);CHKERRQ(ierr);
1016       copy_rhs = PETSC_FALSE;
1017     }
1018     pcbddc->rhs_change = PETSC_TRUE;
1019     ierr = VecScale(used_vec,-1.0);CHKERRQ(ierr);
1020     ierr = MatMultAdd(pc->pmat,used_vec,rhs,rhs);CHKERRQ(ierr);
1021     ierr = VecScale(used_vec,-1.0);CHKERRQ(ierr);
1022     ierr = VecCopy(used_vec,pcbddc->temp_solution);CHKERRQ(ierr);
1023   }
1024   ierr = VecDestroy(&used_vec);CHKERRQ(ierr);
1025 
1026   /* store partially computed solution and set initial guess */
1027   if (x) {
1028     ierr = VecSet(x,0.0);CHKERRQ(ierr);
1029     if (pcbddc->use_exact_dirichlet_trick) {
1030       ierr = VecScatterBegin(pcis->global_to_D,rhs,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1031       ierr = VecScatterEnd(pcis->global_to_D,rhs,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1032       ierr = KSPSolve(pcbddc->ksp_D,pcis->vec1_D,pcis->vec2_D);CHKERRQ(ierr);
1033       ierr = VecScatterBegin(pcis->global_to_D,pcis->vec2_D,x,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1034       ierr = VecScatterEnd(pcis->global_to_D,pcis->vec2_D,x,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1035       if (ksp && !pcbddc->ksp_guess_nonzero) {
1036         ierr = KSPSetInitialGuessNonzero(ksp,PETSC_TRUE);CHKERRQ(ierr);
1037       }
1038     }
1039   }
1040 
1041   if (pcbddc->ChangeOfBasisMatrix) {
1042     PCBDDCChange_ctx change_ctx;
1043 
1044     /* get change ctx */
1045     ierr = MatShellGetContext(pcbddc->new_global_mat,&change_ctx);CHKERRQ(ierr);
1046 
1047     /* set current iteration matrix inside change context (change of basis has been already set into the ctx during PCSetUp) */
1048     ierr = MatDestroy(&change_ctx->original_mat);CHKERRQ(ierr);
1049     ierr = PetscObjectReference((PetscObject)pc->mat);CHKERRQ(ierr);
1050     change_ctx->original_mat = pc->mat;
1051 
1052     /* change iteration matrix */
1053     ierr = MatDestroy(&pc->mat);CHKERRQ(ierr);
1054     ierr = PetscObjectReference((PetscObject)pcbddc->new_global_mat);CHKERRQ(ierr);
1055     pc->mat = pcbddc->new_global_mat;
1056 
1057     /* store the original rhs */
1058     if (copy_rhs) {
1059       ierr = VecCopy(rhs,pcbddc->original_rhs);CHKERRQ(ierr);
1060       copy_rhs = PETSC_FALSE;
1061     }
1062 
1063     /* change rhs */
1064     ierr = MatMultTranspose(change_ctx->global_change,rhs,pcis->vec1_global);CHKERRQ(ierr);
1065     ierr = VecCopy(pcis->vec1_global,rhs);CHKERRQ(ierr);
1066     pcbddc->rhs_change = PETSC_TRUE;
1067   }
1068 
1069   /* remove nullspace if present */
1070   if (ksp && x && pcbddc->NullSpace) {
1071     ierr = MatNullSpaceRemove(pcbddc->NullSpace,x);CHKERRQ(ierr);
1072     /* store the original rhs */
1073     if (copy_rhs) {
1074       ierr = VecCopy(rhs,pcbddc->original_rhs);CHKERRQ(ierr);
1075       copy_rhs = PETSC_FALSE;
1076     }
1077     pcbddc->rhs_change = PETSC_TRUE;
1078     ierr = MatNullSpaceRemove(pcbddc->NullSpace,rhs);CHKERRQ(ierr);
1079   }
1080   PetscFunctionReturn(0);
1081 }
1082 
1083 /* -------------------------------------------------------------------------- */
1084 #undef __FUNCT__
1085 #define __FUNCT__ "PCPostSolve_BDDC"
1086 /* -------------------------------------------------------------------------- */
1087 /*
1088    PCPostSolve_BDDC - Changes the computed solution if a transformation of basis
1089                      approach has been selected. Also, restores rhs to its original state.
1090 
1091    Input Parameter:
1092 +  pc - the preconditioner contex
1093 
1094    Application Interface Routine: PCPostSolve()
1095 
1096    Notes:
1097    The interface routine PCPostSolve() is not usually called directly by
1098    the user, but instead is called by KSPSolve().
1099 */
1100 static PetscErrorCode PCPostSolve_BDDC(PC pc, KSP ksp, Vec rhs, Vec x)
1101 {
1102   PetscErrorCode ierr;
1103   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
1104 
1105   PetscFunctionBegin;
1106   if (pcbddc->ChangeOfBasisMatrix) {
1107     PCBDDCChange_ctx change_ctx;
1108 
1109     /* get change ctx */
1110     ierr = MatShellGetContext(pcbddc->new_global_mat,&change_ctx);CHKERRQ(ierr);
1111 
1112     /* restore iteration matrix */
1113     ierr = MatDestroy(&pc->mat);CHKERRQ(ierr);
1114     ierr = PetscObjectReference((PetscObject)change_ctx->original_mat);CHKERRQ(ierr);
1115     pc->mat = change_ctx->original_mat;
1116 
1117     /* get solution in original basis */
1118     if (x) {
1119       PC_IS *pcis = (PC_IS*)(pc->data);
1120       ierr = MatMult(change_ctx->global_change,x,pcis->vec1_global);CHKERRQ(ierr);
1121       ierr = VecCopy(pcis->vec1_global,x);CHKERRQ(ierr);
1122     }
1123   }
1124 
1125   /* add solution removed in presolve */
1126   if (x && pcbddc->rhs_change) {
1127     ierr = VecAXPY(x,1.0,pcbddc->temp_solution);CHKERRQ(ierr);
1128   }
1129 
1130   /* restore rhs to its original state */
1131   if (rhs && pcbddc->rhs_change) {
1132     ierr = VecCopy(pcbddc->original_rhs,rhs);CHKERRQ(ierr);
1133   }
1134   pcbddc->rhs_change = PETSC_FALSE;
1135 
1136   /* restore ksp guess state */
1137   if (ksp) {
1138     ierr = KSPSetInitialGuessNonzero(ksp,pcbddc->ksp_guess_nonzero);CHKERRQ(ierr);
1139   }
1140   PetscFunctionReturn(0);
1141 }
1142 /* -------------------------------------------------------------------------- */
1143 #undef __FUNCT__
1144 #define __FUNCT__ "PCSetUp_BDDC"
1145 /* -------------------------------------------------------------------------- */
1146 /*
1147    PCSetUp_BDDC - Prepares for the use of the BDDC preconditioner
1148                   by setting data structures and options.
1149 
1150    Input Parameter:
1151 +  pc - the preconditioner context
1152 
1153    Application Interface Routine: PCSetUp()
1154 
1155    Notes:
1156    The interface routine PCSetUp() is not usually called directly by
1157    the user, but instead is called by PCApply() if necessary.
1158 */
1159 PetscErrorCode PCSetUp_BDDC(PC pc)
1160 {
1161   PetscErrorCode   ierr;
1162   PC_BDDC*         pcbddc = (PC_BDDC*)pc->data;
1163   Mat_IS*          matis;
1164   MatNullSpace     nearnullspace;
1165   PetscBool        computetopography,computesolvers;
1166   PetscBool        new_nearnullspace_provided,ismatis;
1167 
1168   PetscFunctionBegin;
1169   ierr = PetscObjectTypeCompare((PetscObject)pc->pmat,MATIS,&ismatis);CHKERRQ(ierr);
1170   if (!ismatis) {
1171     SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_ARG_WRONG,"PCBDDC preconditioner requires matrix of type MATIS");
1172   }
1173   matis = (Mat_IS*)pc->pmat->data;
1174   /* the following lines of code should be replaced by a better logic between PCIS, PCNN, PCBDDC and other future nonoverlapping preconditioners */
1175   /* For BDDC we need to define a local "Neumann" problem different to that defined in PCISSetup
1176      Also, BDDC directly build the Dirichlet problem */
1177   /* split work */
1178   if (pc->setupcalled) {
1179     if (pc->flag == SAME_NONZERO_PATTERN) {
1180       computetopography = PETSC_FALSE;
1181       computesolvers = PETSC_TRUE;
1182     } else { /* DIFFERENT_NONZERO_PATTERN */
1183       computetopography = PETSC_TRUE;
1184       computesolvers = PETSC_TRUE;
1185     }
1186   } else {
1187     computetopography = PETSC_TRUE;
1188     computesolvers = PETSC_TRUE;
1189   }
1190   if (pcbddc->recompute_topography) {
1191     computetopography = PETSC_TRUE;
1192   }
1193 
1194   /* Get stdout for dbg */
1195   if (pcbddc->dbg_flag) {
1196     if (!pcbddc->dbg_viewer) {
1197       pcbddc->dbg_viewer = PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)pc));
1198       ierr = PetscViewerASCIISynchronizedAllow(pcbddc->dbg_viewer,PETSC_TRUE);CHKERRQ(ierr);
1199     }
1200     ierr = PetscViewerASCIIAddTab(pcbddc->dbg_viewer,2*pcbddc->current_level);CHKERRQ(ierr);
1201   }
1202 
1203   /*ierr = MatIsSymmetric(pc->pmat,0.,&pcbddc->issym);CHKERRQ(ierr);*/
1204   { /* this is a temporary workaround since seqbaij matrices does not have support for symmetry checking */
1205     PetscBool setsym;
1206     ierr = MatIsSymmetricKnown(pc->pmat,&setsym,&pcbddc->issym);CHKERRQ(ierr);
1207     if (!setsym) pcbddc->issym = PETSC_FALSE;
1208   }
1209 
1210   if (pcbddc->user_ChangeOfBasisMatrix) {
1211     /* use_change_of_basis flag is used to automatically compute a change of basis from constraints */
1212     pcbddc->use_change_of_basis = PETSC_FALSE;
1213     ierr = PCBDDCComputeLocalMatrix(pc,pcbddc->user_ChangeOfBasisMatrix);CHKERRQ(ierr);
1214   } else {
1215     ierr = PetscObjectReference((PetscObject)matis->A);CHKERRQ(ierr);
1216     pcbddc->local_mat = matis->A;
1217   }
1218 
1219   /* Set up all the "iterative substructuring" common block without computing solvers */
1220   {
1221     Mat temp_mat;
1222 
1223     temp_mat = matis->A;
1224     matis->A = pcbddc->local_mat;
1225     ierr = PCISSetUp(pc,PETSC_FALSE);CHKERRQ(ierr);
1226     pcbddc->local_mat = matis->A;
1227     matis->A = temp_mat;
1228   }
1229 
1230   if (!pcbddc->user_ChangeOfBasisMatrix) {
1231     ierr = MatDestroy(&pcbddc->local_mat);CHKERRQ(ierr);
1232   }
1233 
1234   /* Analyze interface */
1235   if (computetopography) {
1236     ierr = PCBDDCAnalyzeInterface(pc);CHKERRQ(ierr);
1237   }
1238 
1239   /* Setup local dirichlet solver ksp_D */
1240   if (computesolvers) {
1241     ierr = PCBDDCSetUpLocalSolvers(pc,PETSC_TRUE,PETSC_FALSE);CHKERRQ(ierr);
1242 #if 0
1243     if (pcbddc->adaptive_threshold > 0.0 || (pcbddc->use_deluxe_scaling && !pcbddc->use_change_of_basis)) {
1244       /* ierr = PCBDDCSubSchursSetUp(pc);CHKERRQ(ierr); */
1245       if (pcbddc->adaptive_threshold > 0.0) {
1246         /* ierr = PCBDDCAdaptivity(pc);CHKERRQ(ierr); */
1247       }
1248     }
1249 #endif
1250   }
1251 
1252   /* infer if NullSpace object attached to Mat via MatSetNearNullSpace has changed */
1253   new_nearnullspace_provided = PETSC_FALSE;
1254   ierr = MatGetNearNullSpace(pc->pmat,&nearnullspace);CHKERRQ(ierr);
1255   if (pcbddc->onearnullspace) { /* already used nearnullspace */
1256     if (!nearnullspace) { /* near null space attached to mat has been destroyed */
1257       new_nearnullspace_provided = PETSC_TRUE;
1258     } else {
1259       /* determine if the two nullspaces are different (should be lightweight) */
1260       if (nearnullspace != pcbddc->onearnullspace) {
1261         new_nearnullspace_provided = PETSC_TRUE;
1262       } else { /* maybe the user has changed the content of the nearnullspace so check vectors ObjectStateId */
1263         PetscInt         i;
1264         const Vec        *nearnullvecs;
1265         PetscObjectState state;
1266         PetscInt         nnsp_size;
1267         ierr = MatNullSpaceGetVecs(nearnullspace,NULL,&nnsp_size,&nearnullvecs);CHKERRQ(ierr);
1268         for (i=0;i<nnsp_size;i++) {
1269           ierr = PetscObjectStateGet((PetscObject)nearnullvecs[i],&state);CHKERRQ(ierr);
1270           if (pcbddc->onearnullvecs_state[i] != state) {
1271             new_nearnullspace_provided = PETSC_TRUE;
1272             break;
1273           }
1274         }
1275       }
1276     }
1277   } else {
1278     if (!nearnullspace) { /* both nearnullspaces are null */
1279       new_nearnullspace_provided = PETSC_FALSE;
1280     } else { /* nearnullspace attached later */
1281       new_nearnullspace_provided = PETSC_TRUE;
1282     }
1283   }
1284 
1285   /* Setup constraints and related work vectors */
1286   /* reset primal space flags */
1287   pcbddc->new_primal_space = PETSC_FALSE;
1288   pcbddc->new_primal_space_local = PETSC_FALSE;
1289   if (computetopography || new_nearnullspace_provided) {
1290     /* It also sets the primal space flags */
1291     ierr = PCBDDCConstraintsSetUp(pc);CHKERRQ(ierr);
1292     /* Allocate needed local vectors (which depends on quantities defined during ConstraintsSetUp) */
1293     ierr = PCBDDCSetUpLocalWorkVectors(pc);CHKERRQ(ierr);
1294 
1295     if (pcbddc->use_change_of_basis) {
1296       PC_IS *pcis = (PC_IS*)(pc->data);
1297 
1298       ierr = PCBDDCComputeLocalMatrix(pc,pcbddc->ChangeOfBasisMatrix);CHKERRQ(ierr);
1299       /* get submatrices */
1300       ierr = MatDestroy(&pcis->A_IB);CHKERRQ(ierr);
1301       ierr = MatDestroy(&pcis->A_BI);CHKERRQ(ierr);
1302       ierr = MatDestroy(&pcis->A_BB);CHKERRQ(ierr);
1303       ierr = MatGetSubMatrix(pcbddc->local_mat,pcis->is_B_local,pcis->is_B_local,MAT_INITIAL_MATRIX,&pcis->A_BB);CHKERRQ(ierr);
1304       ierr = MatGetSubMatrix(pcbddc->local_mat,pcis->is_I_local,pcis->is_B_local,MAT_INITIAL_MATRIX,&pcis->A_IB);CHKERRQ(ierr);
1305       ierr = MatGetSubMatrix(pcbddc->local_mat,pcis->is_B_local,pcis->is_I_local,MAT_INITIAL_MATRIX,&pcis->A_BI);CHKERRQ(ierr);
1306     } else if (!pcbddc->user_ChangeOfBasisMatrix) {
1307       ierr = PetscObjectReference((PetscObject)matis->A);CHKERRQ(ierr);
1308       pcbddc->local_mat = matis->A;
1309     }
1310   }
1311 
1312   if (computesolvers || pcbddc->new_primal_space) {
1313     /* Create coarse and local stuffs */
1314     ierr = PCBDDCSetUpSolvers(pc);CHKERRQ(ierr);
1315     /* Create Scaling operator */
1316 #if 0
1317 //TODO due casi, uno con cambio di base (sub_schurs diversi) ed uno senza (stessi sub_schurs)
1318     if (pcbddc->use_deluxe_scaling && pcbddc->use_change_of_basis) {
1319       ierr = PCBDDCSubSchursSetUp(pcbddc->sub_schurs);CHKERRQ(ierr);
1320     }
1321 #endif
1322     ierr = PCBDDCScalingSetUp(pc);CHKERRQ(ierr);
1323   }
1324 
1325   if (pcbddc->dbg_flag) {
1326     ierr = PetscViewerASCIISubtractTab(pcbddc->dbg_viewer,2*pcbddc->current_level);CHKERRQ(ierr);
1327   }
1328   PetscFunctionReturn(0);
1329 }
1330 
1331 /* -------------------------------------------------------------------------- */
1332 /*
1333    PCApply_BDDC - Applies the BDDC operator to a vector.
1334 
1335    Input Parameters:
1336 .  pc - the preconditioner context
1337 .  r - input vector (global)
1338 
1339    Output Parameter:
1340 .  z - output vector (global)
1341 
1342    Application Interface Routine: PCApply()
1343  */
1344 #undef __FUNCT__
1345 #define __FUNCT__ "PCApply_BDDC"
1346 PetscErrorCode PCApply_BDDC(PC pc,Vec r,Vec z)
1347 {
1348   PC_IS             *pcis = (PC_IS*)(pc->data);
1349   PC_BDDC           *pcbddc = (PC_BDDC*)(pc->data);
1350   PetscErrorCode    ierr;
1351   const PetscScalar one = 1.0;
1352   const PetscScalar m_one = -1.0;
1353   const PetscScalar zero = 0.0;
1354 
1355 /* This code is similar to that provided in nn.c for PCNN
1356    NN interface preconditioner changed to BDDC
1357    Added support for M_3 preconditioner in the reference article (code is active if pcbddc->switch_static = PETSC_TRUE) */
1358 
1359   PetscFunctionBegin;
1360   if (!pcbddc->use_exact_dirichlet_trick) {
1361     /* First Dirichlet solve */
1362     ierr = VecScatterBegin(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1363     ierr = VecScatterEnd(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1364     ierr = KSPSolve(pcbddc->ksp_D,pcis->vec1_D,pcis->vec2_D);CHKERRQ(ierr);
1365     /*
1366       Assembling right hand side for BDDC operator
1367       - pcis->vec1_D for the Dirichlet part (if needed, i.e. prec_flag=PETSC_TRUE)
1368       - pcis->vec1_B the interface part of the global vector z
1369     */
1370     ierr = VecScale(pcis->vec2_D,m_one);CHKERRQ(ierr);
1371     ierr = MatMult(pcis->A_BI,pcis->vec2_D,pcis->vec1_B);CHKERRQ(ierr);
1372     if (pcbddc->switch_static) { ierr = MatMultAdd(pcis->A_II,pcis->vec2_D,pcis->vec1_D,pcis->vec1_D);CHKERRQ(ierr); }
1373     ierr = VecScale(pcis->vec2_D,m_one);CHKERRQ(ierr);
1374     ierr = VecCopy(r,z);CHKERRQ(ierr);
1375     ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1376     ierr = VecScatterEnd(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1377     ierr = PCBDDCScalingRestriction(pc,z,pcis->vec1_B);CHKERRQ(ierr);
1378   } else {
1379     ierr = VecSet(pcis->vec1_D,zero);CHKERRQ(ierr);
1380     ierr = VecSet(pcis->vec2_D,zero);CHKERRQ(ierr);
1381     ierr = PCBDDCScalingRestriction(pc,r,pcis->vec1_B);CHKERRQ(ierr);
1382   }
1383 
1384   /* Apply interface preconditioner
1385      input/output vecs: pcis->vec1_B and pcis->vec1_D */
1386   ierr = PCBDDCApplyInterfacePreconditioner(pc,PETSC_FALSE);CHKERRQ(ierr);
1387 
1388   /* Apply transpose of partition of unity operator */
1389   ierr = PCBDDCScalingExtension(pc,pcis->vec1_B,z);CHKERRQ(ierr);
1390 
1391   /* Second Dirichlet solve and assembling of output */
1392   ierr = VecScatterBegin(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1393   ierr = VecScatterEnd(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1394   ierr = MatMult(pcis->A_IB,pcis->vec1_B,pcis->vec3_D);CHKERRQ(ierr);
1395   if (pcbddc->switch_static) { ierr = MatMultAdd(pcis->A_II,pcis->vec1_D,pcis->vec3_D,pcis->vec3_D);CHKERRQ(ierr); }
1396   ierr = KSPSolve(pcbddc->ksp_D,pcis->vec3_D,pcis->vec4_D);CHKERRQ(ierr);
1397   ierr = VecScale(pcis->vec4_D,m_one);CHKERRQ(ierr);
1398   if (pcbddc->switch_static) { ierr = VecAXPY(pcis->vec4_D,one,pcis->vec1_D);CHKERRQ(ierr); }
1399   ierr = VecAXPY(pcis->vec2_D,one,pcis->vec4_D);CHKERRQ(ierr);
1400   ierr = VecScatterBegin(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1401   ierr = VecScatterEnd(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1402   PetscFunctionReturn(0);
1403 }
1404 
1405 /* -------------------------------------------------------------------------- */
1406 /*
1407    PCApplyTranspose_BDDC - Applies the transpose of the BDDC operator to a vector.
1408 
1409    Input Parameters:
1410 .  pc - the preconditioner context
1411 .  r - input vector (global)
1412 
1413    Output Parameter:
1414 .  z - output vector (global)
1415 
1416    Application Interface Routine: PCApplyTranspose()
1417  */
1418 #undef __FUNCT__
1419 #define __FUNCT__ "PCApplyTranspose_BDDC"
1420 PetscErrorCode PCApplyTranspose_BDDC(PC pc,Vec r,Vec z)
1421 {
1422   PC_IS             *pcis = (PC_IS*)(pc->data);
1423   PC_BDDC           *pcbddc = (PC_BDDC*)(pc->data);
1424   PetscErrorCode    ierr;
1425   const PetscScalar one = 1.0;
1426   const PetscScalar m_one = -1.0;
1427   const PetscScalar zero = 0.0;
1428 
1429   PetscFunctionBegin;
1430   if (!pcbddc->use_exact_dirichlet_trick) {
1431     /* First Dirichlet solve */
1432     ierr = VecScatterBegin(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1433     ierr = VecScatterEnd(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1434     ierr = KSPSolveTranspose(pcbddc->ksp_D,pcis->vec1_D,pcis->vec2_D);CHKERRQ(ierr);
1435     /*
1436       Assembling right hand side for BDDC operator
1437       - pcis->vec1_D for the Dirichlet part (if needed, i.e. prec_flag=PETSC_TRUE)
1438       - pcis->vec1_B the interface part of the global vector z
1439     */
1440     ierr = VecScale(pcis->vec2_D,m_one);CHKERRQ(ierr);
1441     ierr = MatMultTranspose(pcis->A_IB,pcis->vec2_D,pcis->vec1_B);CHKERRQ(ierr);
1442     if (pcbddc->switch_static) { ierr = MatMultTransposeAdd(pcis->A_II,pcis->vec2_D,pcis->vec1_D,pcis->vec1_D);CHKERRQ(ierr); }
1443     ierr = VecScale(pcis->vec2_D,m_one);CHKERRQ(ierr);
1444     ierr = VecCopy(r,z);CHKERRQ(ierr);
1445     ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1446     ierr = VecScatterEnd(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1447     ierr = PCBDDCScalingRestriction(pc,z,pcis->vec1_B);CHKERRQ(ierr);
1448   } else {
1449     ierr = VecSet(pcis->vec1_D,zero);CHKERRQ(ierr);
1450     ierr = VecSet(pcis->vec2_D,zero);CHKERRQ(ierr);
1451     ierr = PCBDDCScalingRestriction(pc,r,pcis->vec1_B);CHKERRQ(ierr);
1452   }
1453 
1454   /* Apply interface preconditioner
1455      input/output vecs: pcis->vec1_B and pcis->vec1_D */
1456   ierr = PCBDDCApplyInterfacePreconditioner(pc,PETSC_TRUE);CHKERRQ(ierr);
1457 
1458   /* Apply transpose of partition of unity operator */
1459   ierr = PCBDDCScalingExtension(pc,pcis->vec1_B,z);CHKERRQ(ierr);
1460 
1461   /* Second Dirichlet solve and assembling of output */
1462   ierr = VecScatterBegin(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1463   ierr = VecScatterEnd(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1464   ierr = MatMultTranspose(pcis->A_BI,pcis->vec1_B,pcis->vec3_D);CHKERRQ(ierr);
1465   if (pcbddc->switch_static) { ierr = MatMultTransposeAdd(pcis->A_II,pcis->vec1_D,pcis->vec3_D,pcis->vec3_D);CHKERRQ(ierr); }
1466   ierr = KSPSolveTranspose(pcbddc->ksp_D,pcis->vec3_D,pcis->vec4_D);CHKERRQ(ierr);
1467   ierr = VecScale(pcis->vec4_D,m_one);CHKERRQ(ierr);
1468   if (pcbddc->switch_static) { ierr = VecAXPY(pcis->vec4_D,one,pcis->vec1_D);CHKERRQ(ierr); }
1469   ierr = VecAXPY(pcis->vec2_D,one,pcis->vec4_D);CHKERRQ(ierr);
1470   ierr = VecScatterBegin(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1471   ierr = VecScatterEnd(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1472   PetscFunctionReturn(0);
1473 }
1474 /* -------------------------------------------------------------------------- */
1475 
1476 #undef __FUNCT__
1477 #define __FUNCT__ "PCDestroy_BDDC"
1478 PetscErrorCode PCDestroy_BDDC(PC pc)
1479 {
1480   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
1481   PetscErrorCode ierr;
1482 
1483   PetscFunctionBegin;
1484   /* free data created by PCIS */
1485   ierr = PCISDestroy(pc);CHKERRQ(ierr);
1486   /* free BDDC custom data  */
1487   ierr = PCBDDCResetCustomization(pc);CHKERRQ(ierr);
1488   /* destroy objects related to topography */
1489   ierr = PCBDDCResetTopography(pc);CHKERRQ(ierr);
1490   /* free allocated graph structure */
1491   ierr = PetscFree(pcbddc->mat_graph);CHKERRQ(ierr);
1492   /* free allocated sub schurs structures */
1493   ierr = PetscFree(pcbddc->sub_schurs[0]);CHKERRQ(ierr);
1494   ierr = PetscFree(pcbddc->sub_schurs[1]);CHKERRQ(ierr);
1495   /* destroy objects for scaling operator */
1496   ierr = PCBDDCScalingDestroy(pc);CHKERRQ(ierr);
1497   ierr = PetscFree(pcbddc->deluxe_ctx);CHKERRQ(ierr);
1498   /* free solvers stuff */
1499   ierr = PCBDDCResetSolvers(pc);CHKERRQ(ierr);
1500   /* free global vectors needed in presolve */
1501   ierr = VecDestroy(&pcbddc->temp_solution);CHKERRQ(ierr);
1502   ierr = VecDestroy(&pcbddc->original_rhs);CHKERRQ(ierr);
1503   /* free stuff for change of basis hooks */
1504   if (pcbddc->new_global_mat) {
1505     PCBDDCChange_ctx change_ctx;
1506     ierr = MatShellGetContext(pcbddc->new_global_mat,&change_ctx);CHKERRQ(ierr);
1507     ierr = MatDestroy(&change_ctx->original_mat);CHKERRQ(ierr);
1508     ierr = MatDestroy(&change_ctx->global_change);CHKERRQ(ierr);
1509     ierr = VecDestroyVecs(2,&change_ctx->work);CHKERRQ(ierr);
1510     ierr = PetscFree(change_ctx);CHKERRQ(ierr);
1511   }
1512   ierr = MatDestroy(&pcbddc->new_global_mat);CHKERRQ(ierr);
1513   /* remove functions */
1514   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetChangeOfBasisMat_C",NULL);CHKERRQ(ierr);
1515   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetPrimalVerticesLocalIS_C",NULL);CHKERRQ(ierr);
1516   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetCoarseningRatio_C",NULL);CHKERRQ(ierr);
1517   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevel_C",NULL);CHKERRQ(ierr);
1518   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetUseExactDirichlet_C",NULL);CHKERRQ(ierr);
1519   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevels_C",NULL);CHKERRQ(ierr);
1520   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNullSpace_C",NULL);CHKERRQ(ierr);
1521   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundaries_C",NULL);CHKERRQ(ierr);
1522   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundariesLocal_C",NULL);CHKERRQ(ierr);
1523   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundaries_C",NULL);CHKERRQ(ierr);
1524   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundariesLocal_C",NULL);CHKERRQ(ierr);
1525   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundaries_C",NULL);CHKERRQ(ierr);
1526   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundariesLocal_C",NULL);CHKERRQ(ierr);
1527   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundaries_C",NULL);CHKERRQ(ierr);
1528   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundariesLocal_C",NULL);CHKERRQ(ierr);
1529   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplitting_C",NULL);CHKERRQ(ierr);
1530   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplittingLocal_C",NULL);CHKERRQ(ierr);
1531   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLocalAdjacencyGraph_C",NULL);CHKERRQ(ierr);
1532   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCCreateFETIDPOperators_C",NULL);CHKERRQ(ierr);
1533   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetRHS_C",NULL);CHKERRQ(ierr);
1534   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetSolution_C",NULL);CHKERRQ(ierr);
1535   /* Free the private data structure */
1536   ierr = PetscFree(pc->data);CHKERRQ(ierr);
1537   PetscFunctionReturn(0);
1538 }
1539 /* -------------------------------------------------------------------------- */
1540 
1541 #undef __FUNCT__
1542 #define __FUNCT__ "PCBDDCMatFETIDPGetRHS_BDDC"
1543 static PetscErrorCode PCBDDCMatFETIDPGetRHS_BDDC(Mat fetidp_mat, Vec standard_rhs, Vec fetidp_flux_rhs)
1544 {
1545   FETIDPMat_ctx  mat_ctx;
1546   Vec            copy_standard_rhs;
1547   PC_IS*         pcis;
1548   PC_BDDC*       pcbddc;
1549   PetscErrorCode ierr;
1550 
1551   PetscFunctionBegin;
1552   ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr);
1553   pcis = (PC_IS*)mat_ctx->pc->data;
1554   pcbddc = (PC_BDDC*)mat_ctx->pc->data;
1555 
1556   /*
1557      change of basis for physical rhs if needed
1558      It also changes the rhs in case of dirichlet boundaries
1559      TODO: better management when FETIDP will have its own class
1560   */
1561   ierr = VecDuplicate(standard_rhs,&copy_standard_rhs);CHKERRQ(ierr);
1562   ierr = VecCopy(standard_rhs,copy_standard_rhs);CHKERRQ(ierr);
1563   ierr = PCPreSolve_BDDC(mat_ctx->pc,NULL,copy_standard_rhs,NULL);CHKERRQ(ierr);
1564   /* store vectors for computation of fetidp final solution */
1565   ierr = VecScatterBegin(pcis->global_to_D,copy_standard_rhs,mat_ctx->temp_solution_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1566   ierr = VecScatterEnd(pcis->global_to_D,copy_standard_rhs,mat_ctx->temp_solution_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1567   /* scale rhs since it should be unassembled */
1568   /* TODO use counter scaling? (also below) */
1569   ierr = VecScatterBegin(pcis->global_to_B,copy_standard_rhs,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1570   ierr = VecScatterEnd(pcis->global_to_B,copy_standard_rhs,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1571   /* Apply partition of unity */
1572   ierr = VecPointwiseMult(mat_ctx->temp_solution_B,pcis->D,mat_ctx->temp_solution_B);CHKERRQ(ierr);
1573   /* ierr = PCBDDCScalingRestriction(mat_ctx->pc,copy_standard_rhs,mat_ctx->temp_solution_B);CHKERRQ(ierr); */
1574   if (!pcbddc->switch_static) {
1575     /* compute partially subassembled Schur complement right-hand side */
1576     ierr = KSPSolve(pcbddc->ksp_D,mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr);
1577     ierr = MatMult(pcis->A_BI,pcis->vec1_D,pcis->vec1_B);CHKERRQ(ierr);
1578     ierr = VecAXPY(mat_ctx->temp_solution_B,-1.0,pcis->vec1_B);CHKERRQ(ierr);
1579     ierr = VecSet(copy_standard_rhs,0.0);CHKERRQ(ierr);
1580     ierr = VecScatterBegin(pcis->global_to_B,mat_ctx->temp_solution_B,copy_standard_rhs,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1581     ierr = VecScatterEnd(pcis->global_to_B,mat_ctx->temp_solution_B,copy_standard_rhs,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1582     /* ierr = PCBDDCScalingRestriction(mat_ctx->pc,copy_standard_rhs,mat_ctx->temp_solution_B);CHKERRQ(ierr); */
1583     ierr = VecScatterBegin(pcis->global_to_B,copy_standard_rhs,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1584     ierr = VecScatterEnd(pcis->global_to_B,copy_standard_rhs,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1585     ierr = VecPointwiseMult(mat_ctx->temp_solution_B,pcis->D,mat_ctx->temp_solution_B);CHKERRQ(ierr);
1586   }
1587   ierr = VecDestroy(&copy_standard_rhs);CHKERRQ(ierr);
1588   /* BDDC rhs */
1589   ierr = VecCopy(mat_ctx->temp_solution_B,pcis->vec1_B);CHKERRQ(ierr);
1590   if (pcbddc->switch_static) {
1591     ierr = VecCopy(mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr);
1592   }
1593   /* apply BDDC */
1594   ierr = PCBDDCApplyInterfacePreconditioner(mat_ctx->pc,PETSC_FALSE);CHKERRQ(ierr);
1595   /* Application of B_delta and assembling of rhs for fetidp fluxes */
1596   ierr = VecSet(fetidp_flux_rhs,0.0);CHKERRQ(ierr);
1597   ierr = MatMult(mat_ctx->B_delta,pcis->vec1_B,mat_ctx->lambda_local);CHKERRQ(ierr);
1598   ierr = VecScatterBegin(mat_ctx->l2g_lambda,mat_ctx->lambda_local,fetidp_flux_rhs,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1599   ierr = VecScatterEnd(mat_ctx->l2g_lambda,mat_ctx->lambda_local,fetidp_flux_rhs,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1600   PetscFunctionReturn(0);
1601 }
1602 
1603 #undef __FUNCT__
1604 #define __FUNCT__ "PCBDDCMatFETIDPGetRHS"
1605 /*@
1606  PCBDDCMatFETIDPGetRHS - Compute the right-hand side for FETIDP linear system
1607 
1608    Collective
1609 
1610    Input Parameters:
1611 +  fetidp_mat   - the FETIDP matrix object obtained by calling PCBDDCCreateFETIDPOperators
1612 .  standard_rhs - the right-hand side for your linear system
1613 
1614    Output Parameters:
1615 -  fetidp_flux_rhs   - the right-hand side for the FETIDP linear system
1616 
1617    Level: developer
1618 
1619    Notes:
1620 
1621 .seealso: PCBDDC,PCBDDCCreateFETIDPOperators
1622 @*/
1623 PetscErrorCode PCBDDCMatFETIDPGetRHS(Mat fetidp_mat, Vec standard_rhs, Vec fetidp_flux_rhs)
1624 {
1625   FETIDPMat_ctx  mat_ctx;
1626   PetscErrorCode ierr;
1627 
1628   PetscFunctionBegin;
1629   ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr);
1630   ierr = PetscTryMethod(mat_ctx->pc,"PCBDDCMatFETIDPGetRHS_C",(Mat,Vec,Vec),(fetidp_mat,standard_rhs,fetidp_flux_rhs));CHKERRQ(ierr);
1631   PetscFunctionReturn(0);
1632 }
1633 /* -------------------------------------------------------------------------- */
1634 
1635 #undef __FUNCT__
1636 #define __FUNCT__ "PCBDDCMatFETIDPGetSolution_BDDC"
1637 static PetscErrorCode PCBDDCMatFETIDPGetSolution_BDDC(Mat fetidp_mat, Vec fetidp_flux_sol, Vec standard_sol)
1638 {
1639   FETIDPMat_ctx  mat_ctx;
1640   PC_IS*         pcis;
1641   PC_BDDC*       pcbddc;
1642   PetscErrorCode ierr;
1643 
1644   PetscFunctionBegin;
1645   ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr);
1646   pcis = (PC_IS*)mat_ctx->pc->data;
1647   pcbddc = (PC_BDDC*)mat_ctx->pc->data;
1648 
1649   /* apply B_delta^T */
1650   ierr = VecScatterBegin(mat_ctx->l2g_lambda,fetidp_flux_sol,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1651   ierr = VecScatterEnd  (mat_ctx->l2g_lambda,fetidp_flux_sol,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1652   ierr = MatMultTranspose(mat_ctx->B_delta,mat_ctx->lambda_local,pcis->vec1_B);CHKERRQ(ierr);
1653   /* compute rhs for BDDC application */
1654   ierr = VecAYPX(pcis->vec1_B,-1.0,mat_ctx->temp_solution_B);CHKERRQ(ierr);
1655   if (pcbddc->switch_static) {
1656     ierr = VecCopy(mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr);
1657   }
1658   /* apply BDDC */
1659   ierr = PCBDDCApplyInterfacePreconditioner(mat_ctx->pc,PETSC_FALSE);CHKERRQ(ierr);
1660   /* put values into standard global vector */
1661   ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_B,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1662   ierr = VecScatterEnd  (pcis->global_to_B,pcis->vec1_B,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1663   if (!pcbddc->switch_static) {
1664     /* compute values into the interior if solved for the partially subassembled Schur complement */
1665     ierr = MatMult(pcis->A_IB,pcis->vec1_B,pcis->vec1_D);CHKERRQ(ierr);
1666     ierr = VecAXPY(mat_ctx->temp_solution_D,-1.0,pcis->vec1_D);CHKERRQ(ierr);
1667     ierr = KSPSolve(pcbddc->ksp_D,mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr);
1668   }
1669   ierr = VecScatterBegin(pcis->global_to_D,pcis->vec1_D,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1670   ierr = VecScatterEnd  (pcis->global_to_D,pcis->vec1_D,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1671   /* final change of basis if needed
1672      Is also sums the dirichlet part removed during RHS assembling */
1673   ierr = PCPostSolve_BDDC(mat_ctx->pc,NULL,NULL,standard_sol);CHKERRQ(ierr);
1674   PetscFunctionReturn(0);
1675 }
1676 
1677 #undef __FUNCT__
1678 #define __FUNCT__ "PCBDDCMatFETIDPGetSolution"
1679 /*@
1680  PCBDDCMatFETIDPGetSolution - Compute the physical solution from the solution of the FETIDP linear system
1681 
1682    Collective
1683 
1684    Input Parameters:
1685 +  fetidp_mat        - the FETIDP matrix obtained by calling PCBDDCCreateFETIDPOperators
1686 .  fetidp_flux_sol - the solution of the FETIDP linear system
1687 
1688    Output Parameters:
1689 -  standard_sol      - the solution defined on the physical domain
1690 
1691    Level: developer
1692 
1693    Notes:
1694 
1695 .seealso: PCBDDC,PCBDDCCreateFETIDPOperators
1696 @*/
1697 PetscErrorCode PCBDDCMatFETIDPGetSolution(Mat fetidp_mat, Vec fetidp_flux_sol, Vec standard_sol)
1698 {
1699   FETIDPMat_ctx  mat_ctx;
1700   PetscErrorCode ierr;
1701 
1702   PetscFunctionBegin;
1703   ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr);
1704   ierr = PetscTryMethod(mat_ctx->pc,"PCBDDCMatFETIDPGetSolution_C",(Mat,Vec,Vec),(fetidp_mat,fetidp_flux_sol,standard_sol));CHKERRQ(ierr);
1705   PetscFunctionReturn(0);
1706 }
1707 /* -------------------------------------------------------------------------- */
1708 
1709 extern PetscErrorCode FETIDPMatMult(Mat,Vec,Vec);
1710 extern PetscErrorCode FETIDPMatMultTranspose(Mat,Vec,Vec);
1711 extern PetscErrorCode PCBDDCDestroyFETIDPMat(Mat);
1712 extern PetscErrorCode FETIDPPCApply(PC,Vec,Vec);
1713 extern PetscErrorCode FETIDPPCApplyTranspose(PC,Vec,Vec);
1714 extern PetscErrorCode PCBDDCDestroyFETIDPPC(PC);
1715 
1716 #undef __FUNCT__
1717 #define __FUNCT__ "PCBDDCCreateFETIDPOperators_BDDC"
1718 static PetscErrorCode PCBDDCCreateFETIDPOperators_BDDC(PC pc, Mat *fetidp_mat, PC *fetidp_pc)
1719 {
1720 
1721   FETIDPMat_ctx  fetidpmat_ctx;
1722   Mat            newmat;
1723   FETIDPPC_ctx   fetidppc_ctx;
1724   PC             newpc;
1725   MPI_Comm       comm;
1726   PetscErrorCode ierr;
1727 
1728   PetscFunctionBegin;
1729   ierr = PetscObjectGetComm((PetscObject)pc,&comm);CHKERRQ(ierr);
1730   /* FETIDP linear matrix */
1731   ierr = PCBDDCCreateFETIDPMatContext(pc,&fetidpmat_ctx);CHKERRQ(ierr);
1732   ierr = PCBDDCSetupFETIDPMatContext(fetidpmat_ctx);CHKERRQ(ierr);
1733   ierr = MatCreateShell(comm,PETSC_DECIDE,PETSC_DECIDE,fetidpmat_ctx->n_lambda,fetidpmat_ctx->n_lambda,fetidpmat_ctx,&newmat);CHKERRQ(ierr);
1734   ierr = MatShellSetOperation(newmat,MATOP_MULT,(void (*)(void))FETIDPMatMult);CHKERRQ(ierr);
1735   ierr = MatShellSetOperation(newmat,MATOP_MULT_TRANSPOSE,(void (*)(void))FETIDPMatMultTranspose);CHKERRQ(ierr);
1736   ierr = MatShellSetOperation(newmat,MATOP_DESTROY,(void (*)(void))PCBDDCDestroyFETIDPMat);CHKERRQ(ierr);
1737   ierr = MatSetUp(newmat);CHKERRQ(ierr);
1738   /* FETIDP preconditioner */
1739   ierr = PCBDDCCreateFETIDPPCContext(pc,&fetidppc_ctx);CHKERRQ(ierr);
1740   ierr = PCBDDCSetupFETIDPPCContext(newmat,fetidppc_ctx);CHKERRQ(ierr);
1741   ierr = PCCreate(comm,&newpc);CHKERRQ(ierr);
1742   ierr = PCSetType(newpc,PCSHELL);CHKERRQ(ierr);
1743   ierr = PCShellSetContext(newpc,fetidppc_ctx);CHKERRQ(ierr);
1744   ierr = PCShellSetApply(newpc,FETIDPPCApply);CHKERRQ(ierr);
1745   ierr = PCShellSetApplyTranspose(newpc,FETIDPPCApplyTranspose);CHKERRQ(ierr);
1746   ierr = PCShellSetDestroy(newpc,PCBDDCDestroyFETIDPPC);CHKERRQ(ierr);
1747   ierr = PCSetOperators(newpc,newmat,newmat);CHKERRQ(ierr);
1748   ierr = PCSetUp(newpc);CHKERRQ(ierr);
1749   /* return pointers for objects created */
1750   *fetidp_mat=newmat;
1751   *fetidp_pc=newpc;
1752   PetscFunctionReturn(0);
1753 }
1754 
1755 #undef __FUNCT__
1756 #define __FUNCT__ "PCBDDCCreateFETIDPOperators"
1757 /*@
1758  PCBDDCCreateFETIDPOperators - Create operators for FETIDP
1759 
1760    Collective
1761 
1762    Input Parameters:
1763 +  pc - the BDDC preconditioning context already setup
1764 
1765    Output Parameters:
1766 .  fetidp_mat - shell FETIDP matrix object
1767 .  fetidp_pc  - shell Dirichlet preconditioner for FETIDP matrix
1768 
1769    Options Database Keys:
1770 -    -fetidp_fullyredundant: use or not a fully redundant set of Lagrange multipliers
1771 
1772    Level: developer
1773 
1774    Notes:
1775      Currently the only operation provided for FETIDP matrix is MatMult
1776 
1777 .seealso: PCBDDC
1778 @*/
1779 PetscErrorCode PCBDDCCreateFETIDPOperators(PC pc, Mat *fetidp_mat, PC *fetidp_pc)
1780 {
1781   PetscErrorCode ierr;
1782 
1783   PetscFunctionBegin;
1784   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
1785   if (pc->setupcalled) {
1786     ierr = PetscUseMethod(pc,"PCBDDCCreateFETIDPOperators_C",(PC,Mat*,PC*),(pc,fetidp_mat,fetidp_pc));CHKERRQ(ierr);
1787   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"You must call PCSetup_BDDC() first \n");
1788   PetscFunctionReturn(0);
1789 }
1790 /* -------------------------------------------------------------------------- */
1791 /*MC
1792    PCBDDC - Balancing Domain Decomposition by Constraints.
1793 
1794    An implementation of the BDDC preconditioner based on
1795 
1796 .vb
1797    [1] C. R. Dohrmann. "An approximate BDDC preconditioner", Numerical Linear Algebra with Applications Volume 14, Issue 2, pages 149-168, March 2007
1798    [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
1799    [3] J. Mandel, B. Sousedik, C. R. Dohrmann. "Multispace and Multilevel BDDC", http://arxiv.org/abs/0712.3977
1800 .ve
1801 
1802    The matrix to be preconditioned (Pmat) must be of type MATIS.
1803 
1804    Currently works with MATIS matrices with local Neumann matrices of type MATSEQAIJ, MATSEQBAIJ or MATSEQSBAIJ, either with real or complex numbers.
1805 
1806    It also works with unsymmetric and indefinite problems.
1807 
1808    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.
1809 
1810    Approximate local solvers are automatically adapted for singular linear problems (see [1]) if the user has provided the nullspace using PCBDDCSetNullSpace
1811 
1812    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()
1813 
1814    Constraints can be customized by attaching a MatNullSpace object to the MATIS matrix via MatSetNearNullSpace().
1815 
1816    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.
1817 
1818    The PETSc implementation also supports multilevel BDDC [3]. Coarse grids are partitioned using MatPartitioning object.
1819 
1820    Options Database Keys:
1821 
1822 .    -pc_bddc_use_vertices <1> - use or not vertices in primal space
1823 .    -pc_bddc_use_edges <1> - use or not edges in primal space
1824 .    -pc_bddc_use_faces <0> - use or not faces in primal space
1825 .    -pc_bddc_use_change_of_basis <0> - use change of basis approach (on edges only)
1826 .    -pc_bddc_use_change_on_faces <0> - use change of basis approach on faces if change of basis has been requested
1827 .    -pc_bddc_switch_static <0> - switches from M_2 to M_3 operator (see reference article [1])
1828 .    -pc_bddc_levels <0> - maximum number of levels for multilevel
1829 .    -pc_bddc_coarsening_ratio - H/h ratio at the coarser level
1830 -    -pc_bddc_check_level <0> - set verbosity level of debugging output
1831 
1832    Options for Dirichlet, Neumann or coarse solver can be set with
1833 .vb
1834       -pc_bddc_dirichlet_
1835       -pc_bddc_neumann_
1836       -pc_bddc_coarse_
1837 .ve
1838    e.g -pc_bddc_dirichlet_ksp_type richardson -pc_bddc_dirichlet_pc_type gamg
1839 
1840    When using a multilevel approach, solvers' options at the N-th level can be specified as
1841 .vb
1842       -pc_bddc_dirichlet_lN_
1843       -pc_bddc_neumann_lN_
1844       -pc_bddc_coarse_lN_
1845 .ve
1846    Note that level number ranges from the finest 0 to the coarsest N.
1847 
1848    Level: intermediate
1849 
1850    Developer notes:
1851 
1852    New deluxe scaling operator will be available soon.
1853 
1854    Contributed by Stefano Zampini
1855 
1856 .seealso:  PCCreate(), PCSetType(), PCType (for list of available types), PC,  MATIS
1857 M*/
1858 
1859 #undef __FUNCT__
1860 #define __FUNCT__ "PCCreate_BDDC"
1861 PETSC_EXTERN PetscErrorCode PCCreate_BDDC(PC pc)
1862 {
1863   PetscErrorCode      ierr;
1864   PC_BDDC             *pcbddc;
1865 
1866   PetscFunctionBegin;
1867   /* Creates the private data structure for this preconditioner and attach it to the PC object. */
1868   ierr      = PetscNewLog(pc,&pcbddc);CHKERRQ(ierr);
1869   pc->data  = (void*)pcbddc;
1870 
1871   /* create PCIS data structure */
1872   ierr = PCISCreate(pc);CHKERRQ(ierr);
1873 
1874   /* BDDC customization */
1875   pcbddc->use_local_adj       = PETSC_TRUE;
1876   pcbddc->use_vertices        = PETSC_TRUE;
1877   pcbddc->use_edges           = PETSC_TRUE;
1878   pcbddc->use_faces           = PETSC_FALSE;
1879   pcbddc->use_change_of_basis = PETSC_FALSE;
1880   pcbddc->use_change_on_faces = PETSC_FALSE;
1881   pcbddc->switch_static       = PETSC_FALSE;
1882   pcbddc->use_nnsp_true       = PETSC_FALSE;
1883   pcbddc->use_qr_single       = PETSC_FALSE;
1884   pcbddc->dbg_flag            = 0;
1885   /* private */
1886   pcbddc->issym                      = PETSC_FALSE;
1887   pcbddc->local_primal_size          = 0;
1888   pcbddc->n_vertices                 = 0;
1889   pcbddc->n_actual_vertices          = 0;
1890   pcbddc->n_constraints              = 0;
1891   pcbddc->primal_indices_local_idxs  = 0;
1892   pcbddc->recompute_topography       = PETSC_FALSE;
1893   pcbddc->coarse_size                = -1;
1894   pcbddc->new_primal_space           = PETSC_FALSE;
1895   pcbddc->new_primal_space_local     = PETSC_FALSE;
1896   pcbddc->global_primal_indices      = 0;
1897   pcbddc->onearnullspace             = 0;
1898   pcbddc->onearnullvecs_state        = 0;
1899   pcbddc->user_primal_vertices       = 0;
1900   pcbddc->NullSpace                  = 0;
1901   pcbddc->temp_solution              = 0;
1902   pcbddc->original_rhs               = 0;
1903   pcbddc->local_mat                  = 0;
1904   pcbddc->ChangeOfBasisMatrix        = 0;
1905   pcbddc->user_ChangeOfBasisMatrix   = 0;
1906   pcbddc->new_global_mat             = 0;
1907   pcbddc->coarse_vec                 = 0;
1908   pcbddc->coarse_rhs                 = 0;
1909   pcbddc->coarse_ksp                 = 0;
1910   pcbddc->coarse_phi_B               = 0;
1911   pcbddc->coarse_phi_D               = 0;
1912   pcbddc->coarse_psi_B               = 0;
1913   pcbddc->coarse_psi_D               = 0;
1914   pcbddc->vec1_P                     = 0;
1915   pcbddc->vec1_R                     = 0;
1916   pcbddc->vec2_R                     = 0;
1917   pcbddc->local_auxmat1              = 0;
1918   pcbddc->local_auxmat2              = 0;
1919   pcbddc->R_to_B                     = 0;
1920   pcbddc->R_to_D                     = 0;
1921   pcbddc->ksp_D                      = 0;
1922   pcbddc->ksp_R                      = 0;
1923   pcbddc->NeumannBoundaries          = 0;
1924   pcbddc->NeumannBoundariesLocal     = 0;
1925   pcbddc->DirichletBoundaries        = 0;
1926   pcbddc->DirichletBoundariesLocal   = 0;
1927   pcbddc->user_provided_isfordofs    = PETSC_FALSE;
1928   pcbddc->n_ISForDofs                = 0;
1929   pcbddc->n_ISForDofsLocal           = 0;
1930   pcbddc->ISForDofs                  = 0;
1931   pcbddc->ISForDofsLocal             = 0;
1932   pcbddc->ConstraintMatrix           = 0;
1933   pcbddc->use_exact_dirichlet_trick  = PETSC_TRUE;
1934   pcbddc->coarse_loc_to_glob         = 0;
1935   pcbddc->coarsening_ratio           = 8;
1936   pcbddc->current_level              = 0;
1937   pcbddc->max_levels                 = 0;
1938   pcbddc->use_coarse_estimates       = PETSC_FALSE;
1939   pcbddc->redistribute_coarse        = 0;
1940   pcbddc->coarse_subassembling       = 0;
1941   pcbddc->coarse_subassembling_init  = 0;
1942 
1943   /* create local graph structure */
1944   ierr = PCBDDCGraphCreate(&pcbddc->mat_graph);CHKERRQ(ierr);
1945 
1946   /* create sub schurs structure */
1947   ierr = PCBDDCSubSchursCreate(&pcbddc->sub_schurs[0]);CHKERRQ(ierr);
1948   ierr = PCBDDCSubSchursCreate(&pcbddc->sub_schurs[1]);CHKERRQ(ierr);
1949 
1950   /* scaling */
1951   pcbddc->work_scaling          = 0;
1952   pcbddc->use_deluxe_scaling    = PETSC_FALSE;
1953   pcbddc->deluxe_threshold      = 1;
1954   pcbddc->deluxe_rebuild        = PETSC_FALSE;
1955   pcbddc->deluxe_layers         = -1;
1956   pcbddc->deluxe_use_useradj    = PETSC_FALSE;
1957   pcbddc->deluxe_compute_rowadj = PETSC_TRUE;
1958 
1959   /* function pointers */
1960   pc->ops->apply               = PCApply_BDDC;
1961   pc->ops->applytranspose      = PCApplyTranspose_BDDC;
1962   pc->ops->setup               = PCSetUp_BDDC;
1963   pc->ops->destroy             = PCDestroy_BDDC;
1964   pc->ops->setfromoptions      = PCSetFromOptions_BDDC;
1965   pc->ops->view                = 0;
1966   pc->ops->applyrichardson     = 0;
1967   pc->ops->applysymmetricleft  = 0;
1968   pc->ops->applysymmetricright = 0;
1969   pc->ops->presolve            = PCPreSolve_BDDC;
1970   pc->ops->postsolve           = PCPostSolve_BDDC;
1971 
1972   /* composing function */
1973   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetChangeOfBasisMat_C",PCBDDCSetChangeOfBasisMat_BDDC);CHKERRQ(ierr);
1974   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetPrimalVerticesLocalIS_C",PCBDDCSetPrimalVerticesLocalIS_BDDC);CHKERRQ(ierr);
1975   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetCoarseningRatio_C",PCBDDCSetCoarseningRatio_BDDC);CHKERRQ(ierr);
1976   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevel_C",PCBDDCSetLevel_BDDC);CHKERRQ(ierr);
1977   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetUseExactDirichlet_C",PCBDDCSetUseExactDirichlet_BDDC);CHKERRQ(ierr);
1978   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevels_C",PCBDDCSetLevels_BDDC);CHKERRQ(ierr);
1979   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNullSpace_C",PCBDDCSetNullSpace_BDDC);CHKERRQ(ierr);
1980   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundaries_C",PCBDDCSetDirichletBoundaries_BDDC);CHKERRQ(ierr);
1981   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundariesLocal_C",PCBDDCSetDirichletBoundariesLocal_BDDC);CHKERRQ(ierr);
1982   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundaries_C",PCBDDCSetNeumannBoundaries_BDDC);CHKERRQ(ierr);
1983   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundariesLocal_C",PCBDDCSetNeumannBoundariesLocal_BDDC);CHKERRQ(ierr);
1984   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundaries_C",PCBDDCGetDirichletBoundaries_BDDC);CHKERRQ(ierr);
1985   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundariesLocal_C",PCBDDCGetDirichletBoundariesLocal_BDDC);CHKERRQ(ierr);
1986   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundaries_C",PCBDDCGetNeumannBoundaries_BDDC);CHKERRQ(ierr);
1987   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundariesLocal_C",PCBDDCGetNeumannBoundariesLocal_BDDC);CHKERRQ(ierr);
1988   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplitting_C",PCBDDCSetDofsSplitting_BDDC);CHKERRQ(ierr);
1989   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplittingLocal_C",PCBDDCSetDofsSplittingLocal_BDDC);CHKERRQ(ierr);
1990   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLocalAdjacencyGraph_C",PCBDDCSetLocalAdjacencyGraph_BDDC);CHKERRQ(ierr);
1991   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCCreateFETIDPOperators_C",PCBDDCCreateFETIDPOperators_BDDC);CHKERRQ(ierr);
1992   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetRHS_C",PCBDDCMatFETIDPGetRHS_BDDC);CHKERRQ(ierr);
1993   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetSolution_C",PCBDDCMatFETIDPGetSolution_BDDC);CHKERRQ(ierr);
1994   PetscFunctionReturn(0);
1995 }
1996 
1997