xref: /petsc/src/ksp/pc/impls/bddc/bddc.c (revision 4bc2dc4bd263f882f69e906548202714ae1fb6b6)
1 /* TODOLIST
2 
3    ConstraintsSetup
4    - tolerances for constraints as an option (take care of single precision!)
5 
6    Solvers
7    - Add support for cholesky for coarse solver (similar to local solvers)
8    - Propagate ksp prefixes for solvers to mat objects?
9    - Propagate nearnullspace info among levels
10 
11    User interface
12    - ** DofSplitting and DM attached to pc?
13 
14    Debugging output
15    - * Better management of verbosity levels of debugging output
16 
17    Build
18    - make runexe59
19 
20    Extra
21    - *** Is it possible to work with PCBDDCGraph on boundary indices only (less memory consumed)?
22    - Change of basis approach does not work with my nonlinear mechanics example. why? (seems not an issue with l2gmap)
23    - BDDC with MG framework?
24 
25    FETIDP
26    - Move FETIDP code to its own classes
27 
28    MATIS related operations contained in BDDC code
29    - Provide general case for subassembling
30    - *** Preallocation routines in MatISGetMPIAXAIJ
31 
32 */
33 
34 /* ----------------------------------------------------------------------------------------------------------------------------------------------
35    Implementation of BDDC preconditioner based on:
36    C. Dohrmann "An approximate BDDC preconditioner", Numerical Linear Algebra with Applications Volume 14, Issue 2, pages 149-168, March 2007
37    ---------------------------------------------------------------------------------------------------------------------------------------------- */
38 
39 #include <../src/ksp/pc/impls/bddc/bddc.h> /*I "petscpc.h" I*/  /* includes for fortran wrappers */
40 #include <../src/ksp/pc/impls/bddc/bddcprivate.h>
41 #include <petscblaslapack.h>
42 
43 /* -------------------------------------------------------------------------- */
44 #undef __FUNCT__
45 #define __FUNCT__ "PCSetFromOptions_BDDC"
46 PetscErrorCode PCSetFromOptions_BDDC(PetscOptions *PetscOptionsObject,PC pc)
47 {
48   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
49   PetscErrorCode ierr;
50 
51   PetscFunctionBegin;
52   ierr = PetscOptionsHead(PetscOptionsObject,"BDDC options");CHKERRQ(ierr);
53   /* Verbose debugging */
54   ierr = PetscOptionsInt("-pc_bddc_check_level","Verbose output for PCBDDC (intended for debug)","none",pcbddc->dbg_flag,&pcbddc->dbg_flag,NULL);CHKERRQ(ierr);
55   /* Primal space cumstomization */
56   ierr = PetscOptionsBool("-pc_bddc_use_local_mat_graph","Use or not adjacency graph of local mat for interface analysis","none",pcbddc->use_local_adj,&pcbddc->use_local_adj,NULL);CHKERRQ(ierr);
57   ierr = PetscOptionsBool("-pc_bddc_use_vertices","Use or not corner dofs in coarse space","none",pcbddc->use_vertices,&pcbddc->use_vertices,NULL);CHKERRQ(ierr);
58   ierr = PetscOptionsBool("-pc_bddc_use_edges","Use or not edge constraints in coarse space","none",pcbddc->use_edges,&pcbddc->use_edges,NULL);CHKERRQ(ierr);
59   ierr = PetscOptionsBool("-pc_bddc_use_faces","Use or not face constraints in coarse space","none",pcbddc->use_faces,&pcbddc->use_faces,NULL);CHKERRQ(ierr);
60   ierr = PetscOptionsBool("-pc_bddc_use_true_nnsp","Use near null space attached to the matrix without modifications","none",pcbddc->use_nnsp_true,&pcbddc->use_nnsp_true,NULL);CHKERRQ(ierr);
61   ierr = PetscOptionsBool("-pc_bddc_use_qr_single","Use QR factorization for single constraints on cc (QR is used when multiple constraints are present)","none",pcbddc->use_qr_single,&pcbddc->use_qr_single,NULL);CHKERRQ(ierr);
62   /* Change of basis */
63   ierr = PetscOptionsBool("-pc_bddc_use_change_of_basis","Use or not internal change of basis on local edge nodes","none",pcbddc->use_change_of_basis,&pcbddc->use_change_of_basis,NULL);CHKERRQ(ierr);
64   ierr = PetscOptionsBool("-pc_bddc_use_change_on_faces","Use or not internal change of basis on local face nodes","none",pcbddc->use_change_on_faces,&pcbddc->use_change_on_faces,NULL);CHKERRQ(ierr);
65   if (!pcbddc->use_change_of_basis) {
66     pcbddc->use_change_on_faces = PETSC_FALSE;
67   }
68   /* Switch between M_2 (default) and M_3 preconditioners (as defined by C. Dohrmann in the ref. article) */
69   ierr = PetscOptionsBool("-pc_bddc_switch_static","Switch on static condensation ops around the interface preconditioner","none",pcbddc->switch_static,&pcbddc->switch_static,NULL);CHKERRQ(ierr);
70   ierr = PetscOptionsInt("-pc_bddc_coarse_redistribute","Number of procs where to redistribute coarse problem","none",pcbddc->redistribute_coarse,&pcbddc->redistribute_coarse,NULL);CHKERRQ(ierr);
71   ierr = PetscOptionsInt("-pc_bddc_coarsening_ratio","Set coarsening ratio used in multilevel coarsening","none",pcbddc->coarsening_ratio,&pcbddc->coarsening_ratio,NULL);CHKERRQ(ierr);
72   ierr = PetscOptionsInt("-pc_bddc_levels","Set maximum number of levels for multilevel","none",pcbddc->max_levels,&pcbddc->max_levels,NULL);CHKERRQ(ierr);
73   ierr = PetscOptionsBool("-pc_bddc_use_coarse_estimates","Use estimated eigenvalues for coarse problem","none",pcbddc->use_coarse_estimates,&pcbddc->use_coarse_estimates,NULL);CHKERRQ(ierr);
74   ierr = PetscOptionsBool("-pc_bddc_use_deluxe_scaling","Use deluxe scaling for BDDC","none",pcbddc->use_deluxe_scaling,&pcbddc->use_deluxe_scaling,NULL);CHKERRQ(ierr);
75   ierr = PetscOptionsBool("-pc_bddc_schur_rebuild","Whether or not the interface graph for Schur principal minors has to be rebuilt (i.e. define the interface without any adjacency)","none",pcbddc->sub_schurs_rebuild,&pcbddc->sub_schurs_rebuild,NULL);CHKERRQ(ierr);
76   ierr = PetscOptionsInt("-pc_bddc_schur_layers","Number of dofs' layers for the computation of principal minors (i.e. -1 uses all dofs)","none",pcbddc->sub_schurs_layers,&pcbddc->sub_schurs_layers,NULL);CHKERRQ(ierr);
77   ierr = PetscOptionsBool("-pc_bddc_schur_use_useradj","Whether or not the CSR graph specified by the user should be used for computing successive layers (default is to use adj of local mat)","none",pcbddc->sub_schurs_use_useradj,&pcbddc->sub_schurs_use_useradj,NULL);CHKERRQ(ierr);
78   ierr = PetscOptionsBool("-pc_bddc_deluxe_faster","Faster application of deluxe scaling (requires extra work during setup)","none",pcbddc->faster_deluxe,&pcbddc->faster_deluxe,NULL);CHKERRQ(ierr);
79   ierr = PetscOptionsReal("-pc_bddc_adaptive_threshold","Threshold to be used for adaptive selection of constraints","none",pcbddc->adaptive_threshold,&pcbddc->adaptive_threshold,NULL);CHKERRQ(ierr);
80   ierr = PetscOptionsInt("-pc_bddc_adaptive_nmin","Minimum number of constraints per connected components","none",pcbddc->adaptive_nmin,&pcbddc->adaptive_nmin,NULL);CHKERRQ(ierr);
81   ierr = PetscOptionsInt("-pc_bddc_adaptive_nmax","Maximum number of constraints per connected components","none",pcbddc->adaptive_nmax,&pcbddc->adaptive_nmax,NULL);CHKERRQ(ierr);
82   ierr = PetscOptionsBool("-pc_bddc_adaptive_invert_stildas","Whether or not to invert the Stildas matrices","none",pcbddc->adaptive_invert_Stildas,&pcbddc->adaptive_invert_Stildas,NULL);CHKERRQ(ierr);
83   ierr = PetscOptionsTail();CHKERRQ(ierr);
84   PetscFunctionReturn(0);
85 }
86 /* -------------------------------------------------------------------------- */
87 #undef __FUNCT__
88 #define __FUNCT__ "PCBDDCSetChangeOfBasisMat_BDDC"
89 static PetscErrorCode PCBDDCSetChangeOfBasisMat_BDDC(PC pc, Mat change)
90 {
91   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
92   PetscErrorCode ierr;
93 
94   PetscFunctionBegin;
95   ierr = MatDestroy(&pcbddc->user_ChangeOfBasisMatrix);CHKERRQ(ierr);
96   ierr = PetscObjectReference((PetscObject)change);CHKERRQ(ierr);
97   pcbddc->user_ChangeOfBasisMatrix = change;
98   PetscFunctionReturn(0);
99 }
100 #undef __FUNCT__
101 #define __FUNCT__ "PCBDDCSetChangeOfBasisMat"
102 /*@
103  PCBDDCSetChangeOfBasisMat - Set user defined change of basis for dofs
104 
105    Collective on PC
106 
107    Input Parameters:
108 +  pc - the preconditioning context
109 -  change - the change of basis matrix
110 
111    Level: intermediate
112 
113    Notes:
114 
115 .seealso: PCBDDC
116 @*/
117 PetscErrorCode PCBDDCSetChangeOfBasisMat(PC pc, Mat change)
118 {
119   PetscErrorCode ierr;
120 
121   PetscFunctionBegin;
122   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
123   PetscValidHeaderSpecific(change,MAT_CLASSID,2);
124   PetscCheckSameComm(pc,1,change,2);
125   if (pc->mat) {
126     PetscInt rows_c,cols_c,rows,cols;
127     ierr = MatGetSize(pc->mat,&rows,&cols);CHKERRQ(ierr);
128     ierr = MatGetSize(change,&rows_c,&cols_c);CHKERRQ(ierr);
129     if (rows_c != rows) {
130       SETERRQ2(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Invalid number of rows for change of basis matrix! %d != %d",rows_c,rows);
131     }
132     if (cols_c != cols) {
133       SETERRQ2(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Invalid number of columns for change of basis matrix! %d != %d",cols_c,cols);
134     }
135     ierr = MatGetLocalSize(pc->mat,&rows,&cols);CHKERRQ(ierr);
136     ierr = MatGetLocalSize(change,&rows_c,&cols_c);CHKERRQ(ierr);
137     if (rows_c != rows) {
138       SETERRQ2(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Invalid number of local rows for change of basis matrix! %d != %d",rows_c,rows);
139     }
140     if (cols_c != cols) {
141       SETERRQ2(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Invalid number of local columns for change of basis matrix! %d != %d",cols_c,cols);
142     }
143   }
144   ierr = PetscTryMethod(pc,"PCBDDCSetChangeOfBasisMat_C",(PC,Mat),(pc,change));CHKERRQ(ierr);
145   PetscFunctionReturn(0);
146 }
147 /* -------------------------------------------------------------------------- */
148 #undef __FUNCT__
149 #define __FUNCT__ "PCBDDCSetPrimalVerticesLocalIS_BDDC"
150 static PetscErrorCode PCBDDCSetPrimalVerticesLocalIS_BDDC(PC pc, IS PrimalVertices)
151 {
152   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
153   PetscErrorCode ierr;
154 
155   PetscFunctionBegin;
156   ierr = ISDestroy(&pcbddc->user_primal_vertices);CHKERRQ(ierr);
157   ierr = PetscObjectReference((PetscObject)PrimalVertices);CHKERRQ(ierr);
158   pcbddc->user_primal_vertices = PrimalVertices;
159   PetscFunctionReturn(0);
160 }
161 #undef __FUNCT__
162 #define __FUNCT__ "PCBDDCSetPrimalVerticesLocalIS"
163 /*@
164  PCBDDCSetPrimalVerticesLocalIS - Set additional user defined primal vertices in PCBDDC
165 
166    Not collective
167 
168    Input Parameters:
169 +  pc - the preconditioning context
170 -  PrimalVertices - index set of primal vertices in local numbering
171 
172    Level: intermediate
173 
174    Notes:
175 
176 .seealso: PCBDDC
177 @*/
178 PetscErrorCode PCBDDCSetPrimalVerticesLocalIS(PC pc, IS PrimalVertices)
179 {
180   PetscErrorCode ierr;
181 
182   PetscFunctionBegin;
183   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
184   PetscValidHeaderSpecific(PrimalVertices,IS_CLASSID,2);
185   ierr = PetscTryMethod(pc,"PCBDDCSetPrimalVerticesLocalIS_C",(PC,IS),(pc,PrimalVertices));CHKERRQ(ierr);
186   PetscFunctionReturn(0);
187 }
188 /* -------------------------------------------------------------------------- */
189 #undef __FUNCT__
190 #define __FUNCT__ "PCBDDCSetCoarseningRatio_BDDC"
191 static PetscErrorCode PCBDDCSetCoarseningRatio_BDDC(PC pc,PetscInt k)
192 {
193   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
194 
195   PetscFunctionBegin;
196   pcbddc->coarsening_ratio = k;
197   PetscFunctionReturn(0);
198 }
199 
200 #undef __FUNCT__
201 #define __FUNCT__ "PCBDDCSetCoarseningRatio"
202 /*@
203  PCBDDCSetCoarseningRatio - Set coarsening ratio used in multilevel
204 
205    Logically collective on PC
206 
207    Input Parameters:
208 +  pc - the preconditioning context
209 -  k - coarsening ratio (H/h at the coarser level)
210 
211    Approximatively k subdomains at the finer level will be aggregated into a single subdomain at the coarser level
212 
213    Level: intermediate
214 
215    Notes:
216 
217 .seealso: PCBDDC
218 @*/
219 PetscErrorCode PCBDDCSetCoarseningRatio(PC pc,PetscInt k)
220 {
221   PetscErrorCode ierr;
222 
223   PetscFunctionBegin;
224   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
225   PetscValidLogicalCollectiveInt(pc,k,2);
226   ierr = PetscTryMethod(pc,"PCBDDCSetCoarseningRatio_C",(PC,PetscInt),(pc,k));CHKERRQ(ierr);
227   PetscFunctionReturn(0);
228 }
229 
230 /* The following functions (PCBDDCSetUseExactDirichlet PCBDDCSetLevel) are not public */
231 #undef __FUNCT__
232 #define __FUNCT__ "PCBDDCSetUseExactDirichlet_BDDC"
233 static PetscErrorCode PCBDDCSetUseExactDirichlet_BDDC(PC pc,PetscBool flg)
234 {
235   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
236 
237   PetscFunctionBegin;
238   pcbddc->use_exact_dirichlet_trick = flg;
239   PetscFunctionReturn(0);
240 }
241 
242 #undef __FUNCT__
243 #define __FUNCT__ "PCBDDCSetUseExactDirichlet"
244 PetscErrorCode PCBDDCSetUseExactDirichlet(PC pc,PetscBool flg)
245 {
246   PetscErrorCode ierr;
247 
248   PetscFunctionBegin;
249   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
250   PetscValidLogicalCollectiveBool(pc,flg,2);
251   ierr = PetscTryMethod(pc,"PCBDDCSetUseExactDirichlet_C",(PC,PetscBool),(pc,flg));CHKERRQ(ierr);
252   PetscFunctionReturn(0);
253 }
254 
255 #undef __FUNCT__
256 #define __FUNCT__ "PCBDDCSetLevel_BDDC"
257 static PetscErrorCode PCBDDCSetLevel_BDDC(PC pc,PetscInt level)
258 {
259   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
260 
261   PetscFunctionBegin;
262   pcbddc->current_level = level;
263   PetscFunctionReturn(0);
264 }
265 
266 #undef __FUNCT__
267 #define __FUNCT__ "PCBDDCSetLevel"
268 PetscErrorCode PCBDDCSetLevel(PC pc,PetscInt level)
269 {
270   PetscErrorCode ierr;
271 
272   PetscFunctionBegin;
273   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
274   PetscValidLogicalCollectiveInt(pc,level,2);
275   ierr = PetscTryMethod(pc,"PCBDDCSetLevel_C",(PC,PetscInt),(pc,level));CHKERRQ(ierr);
276   PetscFunctionReturn(0);
277 }
278 
279 #undef __FUNCT__
280 #define __FUNCT__ "PCBDDCSetLevels_BDDC"
281 static PetscErrorCode PCBDDCSetLevels_BDDC(PC pc,PetscInt levels)
282 {
283   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
284 
285   PetscFunctionBegin;
286   pcbddc->max_levels = levels;
287   PetscFunctionReturn(0);
288 }
289 
290 #undef __FUNCT__
291 #define __FUNCT__ "PCBDDCSetLevels"
292 /*@
293  PCBDDCSetLevels - Sets the maximum number of levels for multilevel
294 
295    Logically collective on PC
296 
297    Input Parameters:
298 +  pc - the preconditioning context
299 -  levels - the maximum number of levels (max 9)
300 
301    Default value is 0, i.e. traditional one-level BDDC
302 
303    Level: intermediate
304 
305    Notes:
306 
307 .seealso: PCBDDC
308 @*/
309 PetscErrorCode PCBDDCSetLevels(PC pc,PetscInt levels)
310 {
311   PetscErrorCode ierr;
312 
313   PetscFunctionBegin;
314   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
315   PetscValidLogicalCollectiveInt(pc,levels,2);
316   if (levels > 99) SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Maximum number of levels for bddc is 99\n");
317   ierr = PetscTryMethod(pc,"PCBDDCSetLevels_C",(PC,PetscInt),(pc,levels));CHKERRQ(ierr);
318   PetscFunctionReturn(0);
319 }
320 /* -------------------------------------------------------------------------- */
321 
322 #undef __FUNCT__
323 #define __FUNCT__ "PCBDDCSetNullSpace_BDDC"
324 static PetscErrorCode PCBDDCSetNullSpace_BDDC(PC pc,MatNullSpace NullSpace)
325 {
326   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
327   PetscErrorCode ierr;
328 
329   PetscFunctionBegin;
330   ierr = PetscObjectReference((PetscObject)NullSpace);CHKERRQ(ierr);
331   ierr = MatNullSpaceDestroy(&pcbddc->NullSpace);CHKERRQ(ierr);
332   pcbddc->NullSpace = NullSpace;
333   PetscFunctionReturn(0);
334 }
335 
336 #undef __FUNCT__
337 #define __FUNCT__ "PCBDDCSetNullSpace"
338 /*@
339  PCBDDCSetNullSpace - Set nullspace for BDDC operator
340 
341    Logically collective on PC and MatNullSpace
342 
343    Input Parameters:
344 +  pc - the preconditioning context
345 -  NullSpace - Null space of the linear operator to be preconditioned (Pmat)
346 
347    Level: intermediate
348 
349    Notes:
350 
351 .seealso: PCBDDC
352 @*/
353 PetscErrorCode PCBDDCSetNullSpace(PC pc,MatNullSpace NullSpace)
354 {
355   PetscErrorCode ierr;
356 
357   PetscFunctionBegin;
358   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
359   PetscValidHeaderSpecific(NullSpace,MAT_NULLSPACE_CLASSID,2);
360   PetscCheckSameComm(pc,1,NullSpace,2);
361   ierr = PetscTryMethod(pc,"PCBDDCSetNullSpace_C",(PC,MatNullSpace),(pc,NullSpace));CHKERRQ(ierr);
362   PetscFunctionReturn(0);
363 }
364 /* -------------------------------------------------------------------------- */
365 
366 #undef __FUNCT__
367 #define __FUNCT__ "PCBDDCSetDirichletBoundaries_BDDC"
368 static PetscErrorCode PCBDDCSetDirichletBoundaries_BDDC(PC pc,IS DirichletBoundaries)
369 {
370   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
371   PetscErrorCode ierr;
372 
373   PetscFunctionBegin;
374   /* last user setting takes precendence -> destroy any other customization */
375   ierr = ISDestroy(&pcbddc->DirichletBoundariesLocal);CHKERRQ(ierr);
376   ierr = ISDestroy(&pcbddc->DirichletBoundaries);CHKERRQ(ierr);
377   ierr = PetscObjectReference((PetscObject)DirichletBoundaries);CHKERRQ(ierr);
378   pcbddc->DirichletBoundaries = DirichletBoundaries;
379   pcbddc->recompute_topography = PETSC_TRUE;
380   PetscFunctionReturn(0);
381 }
382 
383 #undef __FUNCT__
384 #define __FUNCT__ "PCBDDCSetDirichletBoundaries"
385 /*@
386  PCBDDCSetDirichletBoundaries - Set IS defining Dirichlet boundaries for the global problem.
387 
388    Collective
389 
390    Input Parameters:
391 +  pc - the preconditioning context
392 -  DirichletBoundaries - parallel IS defining the Dirichlet boundaries
393 
394    Level: intermediate
395 
396    Notes: Any process can list any global node
397 
398 .seealso: PCBDDC
399 @*/
400 PetscErrorCode PCBDDCSetDirichletBoundaries(PC pc,IS DirichletBoundaries)
401 {
402   PetscErrorCode ierr;
403 
404   PetscFunctionBegin;
405   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
406   PetscValidHeaderSpecific(DirichletBoundaries,IS_CLASSID,2);
407   PetscCheckSameComm(pc,1,DirichletBoundaries,2);
408   ierr = PetscTryMethod(pc,"PCBDDCSetDirichletBoundaries_C",(PC,IS),(pc,DirichletBoundaries));CHKERRQ(ierr);
409   PetscFunctionReturn(0);
410 }
411 /* -------------------------------------------------------------------------- */
412 
413 #undef __FUNCT__
414 #define __FUNCT__ "PCBDDCSetDirichletBoundariesLocal_BDDC"
415 static PetscErrorCode PCBDDCSetDirichletBoundariesLocal_BDDC(PC pc,IS DirichletBoundaries)
416 {
417   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
418   PetscErrorCode ierr;
419 
420   PetscFunctionBegin;
421   /* last user setting takes precendence -> destroy any other customization */
422   ierr = ISDestroy(&pcbddc->DirichletBoundariesLocal);CHKERRQ(ierr);
423   ierr = ISDestroy(&pcbddc->DirichletBoundaries);CHKERRQ(ierr);
424   ierr = PetscObjectReference((PetscObject)DirichletBoundaries);CHKERRQ(ierr);
425   pcbddc->DirichletBoundariesLocal = DirichletBoundaries;
426   pcbddc->recompute_topography = PETSC_TRUE;
427   PetscFunctionReturn(0);
428 }
429 
430 #undef __FUNCT__
431 #define __FUNCT__ "PCBDDCSetDirichletBoundariesLocal"
432 /*@
433  PCBDDCSetDirichletBoundariesLocal - Set IS defining Dirichlet boundaries for the global problem in local ordering.
434 
435    Collective
436 
437    Input Parameters:
438 +  pc - the preconditioning context
439 -  DirichletBoundaries - parallel IS defining the Dirichlet boundaries (in local ordering)
440 
441    Level: intermediate
442 
443    Notes:
444 
445 .seealso: PCBDDC
446 @*/
447 PetscErrorCode PCBDDCSetDirichletBoundariesLocal(PC pc,IS DirichletBoundaries)
448 {
449   PetscErrorCode ierr;
450 
451   PetscFunctionBegin;
452   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
453   PetscValidHeaderSpecific(DirichletBoundaries,IS_CLASSID,2);
454   PetscCheckSameComm(pc,1,DirichletBoundaries,2);
455   ierr = PetscTryMethod(pc,"PCBDDCSetDirichletBoundariesLocal_C",(PC,IS),(pc,DirichletBoundaries));CHKERRQ(ierr);
456   PetscFunctionReturn(0);
457 }
458 /* -------------------------------------------------------------------------- */
459 
460 #undef __FUNCT__
461 #define __FUNCT__ "PCBDDCSetNeumannBoundaries_BDDC"
462 static PetscErrorCode PCBDDCSetNeumannBoundaries_BDDC(PC pc,IS NeumannBoundaries)
463 {
464   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
465   PetscErrorCode ierr;
466 
467   PetscFunctionBegin;
468   /* last user setting takes precendence -> destroy any other customization */
469   ierr = ISDestroy(&pcbddc->NeumannBoundariesLocal);CHKERRQ(ierr);
470   ierr = ISDestroy(&pcbddc->NeumannBoundaries);CHKERRQ(ierr);
471   ierr = PetscObjectReference((PetscObject)NeumannBoundaries);CHKERRQ(ierr);
472   pcbddc->NeumannBoundaries = NeumannBoundaries;
473   pcbddc->recompute_topography = PETSC_TRUE;
474   PetscFunctionReturn(0);
475 }
476 
477 #undef __FUNCT__
478 #define __FUNCT__ "PCBDDCSetNeumannBoundaries"
479 /*@
480  PCBDDCSetNeumannBoundaries - Set IS defining Neumann boundaries for the global problem.
481 
482    Collective
483 
484    Input Parameters:
485 +  pc - the preconditioning context
486 -  NeumannBoundaries - parallel IS defining the Neumann boundaries
487 
488    Level: intermediate
489 
490    Notes: Any process can list any global node
491 
492 .seealso: PCBDDC
493 @*/
494 PetscErrorCode PCBDDCSetNeumannBoundaries(PC pc,IS NeumannBoundaries)
495 {
496   PetscErrorCode ierr;
497 
498   PetscFunctionBegin;
499   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
500   PetscValidHeaderSpecific(NeumannBoundaries,IS_CLASSID,2);
501   PetscCheckSameComm(pc,1,NeumannBoundaries,2);
502   ierr = PetscTryMethod(pc,"PCBDDCSetNeumannBoundaries_C",(PC,IS),(pc,NeumannBoundaries));CHKERRQ(ierr);
503   PetscFunctionReturn(0);
504 }
505 /* -------------------------------------------------------------------------- */
506 
507 #undef __FUNCT__
508 #define __FUNCT__ "PCBDDCSetNeumannBoundariesLocal_BDDC"
509 static PetscErrorCode PCBDDCSetNeumannBoundariesLocal_BDDC(PC pc,IS NeumannBoundaries)
510 {
511   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
512   PetscErrorCode ierr;
513 
514   PetscFunctionBegin;
515   /* last user setting takes precendence -> destroy any other customization */
516   ierr = ISDestroy(&pcbddc->NeumannBoundariesLocal);CHKERRQ(ierr);
517   ierr = ISDestroy(&pcbddc->NeumannBoundaries);CHKERRQ(ierr);
518   ierr = PetscObjectReference((PetscObject)NeumannBoundaries);CHKERRQ(ierr);
519   pcbddc->NeumannBoundariesLocal = NeumannBoundaries;
520   pcbddc->recompute_topography = PETSC_TRUE;
521   PetscFunctionReturn(0);
522 }
523 
524 #undef __FUNCT__
525 #define __FUNCT__ "PCBDDCSetNeumannBoundariesLocal"
526 /*@
527  PCBDDCSetNeumannBoundariesLocal - Set IS defining Neumann boundaries for the global problem in local ordering.
528 
529    Collective
530 
531    Input Parameters:
532 +  pc - the preconditioning context
533 -  NeumannBoundaries - parallel IS defining the subdomain part of Neumann boundaries (in local ordering)
534 
535    Level: intermediate
536 
537    Notes:
538 
539 .seealso: PCBDDC
540 @*/
541 PetscErrorCode PCBDDCSetNeumannBoundariesLocal(PC pc,IS NeumannBoundaries)
542 {
543   PetscErrorCode ierr;
544 
545   PetscFunctionBegin;
546   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
547   PetscValidHeaderSpecific(NeumannBoundaries,IS_CLASSID,2);
548   PetscCheckSameComm(pc,1,NeumannBoundaries,2);
549   ierr = PetscTryMethod(pc,"PCBDDCSetNeumannBoundariesLocal_C",(PC,IS),(pc,NeumannBoundaries));CHKERRQ(ierr);
550   PetscFunctionReturn(0);
551 }
552 /* -------------------------------------------------------------------------- */
553 
554 #undef __FUNCT__
555 #define __FUNCT__ "PCBDDCGetDirichletBoundaries_BDDC"
556 static PetscErrorCode PCBDDCGetDirichletBoundaries_BDDC(PC pc,IS *DirichletBoundaries)
557 {
558   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
559 
560   PetscFunctionBegin;
561   *DirichletBoundaries = pcbddc->DirichletBoundaries;
562   PetscFunctionReturn(0);
563 }
564 
565 #undef __FUNCT__
566 #define __FUNCT__ "PCBDDCGetDirichletBoundaries"
567 /*@
568  PCBDDCGetDirichletBoundaries - Get parallel IS for Dirichlet boundaries
569 
570    Collective
571 
572    Input Parameters:
573 .  pc - the preconditioning context
574 
575    Output Parameters:
576 .  DirichletBoundaries - index set defining the Dirichlet boundaries
577 
578    Level: intermediate
579 
580    Notes: The IS returned (if any) is the same passed in earlier by the user with PCBDDCSetDirichletBoundaries
581 
582 .seealso: PCBDDC
583 @*/
584 PetscErrorCode PCBDDCGetDirichletBoundaries(PC pc,IS *DirichletBoundaries)
585 {
586   PetscErrorCode ierr;
587 
588   PetscFunctionBegin;
589   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
590   ierr = PetscUseMethod(pc,"PCBDDCGetDirichletBoundaries_C",(PC,IS*),(pc,DirichletBoundaries));CHKERRQ(ierr);
591   PetscFunctionReturn(0);
592 }
593 /* -------------------------------------------------------------------------- */
594 
595 #undef __FUNCT__
596 #define __FUNCT__ "PCBDDCGetDirichletBoundariesLocal_BDDC"
597 static PetscErrorCode PCBDDCGetDirichletBoundariesLocal_BDDC(PC pc,IS *DirichletBoundaries)
598 {
599   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
600 
601   PetscFunctionBegin;
602   *DirichletBoundaries = pcbddc->DirichletBoundariesLocal;
603   PetscFunctionReturn(0);
604 }
605 
606 #undef __FUNCT__
607 #define __FUNCT__ "PCBDDCGetDirichletBoundariesLocal"
608 /*@
609  PCBDDCGetDirichletBoundariesLocal - Get parallel IS for Dirichlet boundaries (in local ordering)
610 
611    Collective
612 
613    Input Parameters:
614 .  pc - the preconditioning context
615 
616    Output Parameters:
617 .  DirichletBoundaries - index set defining the subdomain part of Dirichlet boundaries
618 
619    Level: intermediate
620 
621    Notes:
622 
623 .seealso: PCBDDC
624 @*/
625 PetscErrorCode PCBDDCGetDirichletBoundariesLocal(PC pc,IS *DirichletBoundaries)
626 {
627   PetscErrorCode ierr;
628 
629   PetscFunctionBegin;
630   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
631   ierr = PetscUseMethod(pc,"PCBDDCGetDirichletBoundariesLocal_C",(PC,IS*),(pc,DirichletBoundaries));CHKERRQ(ierr);
632   PetscFunctionReturn(0);
633 }
634 /* -------------------------------------------------------------------------- */
635 
636 #undef __FUNCT__
637 #define __FUNCT__ "PCBDDCGetNeumannBoundaries_BDDC"
638 static PetscErrorCode PCBDDCGetNeumannBoundaries_BDDC(PC pc,IS *NeumannBoundaries)
639 {
640   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
641 
642   PetscFunctionBegin;
643   *NeumannBoundaries = pcbddc->NeumannBoundaries;
644   PetscFunctionReturn(0);
645 }
646 
647 #undef __FUNCT__
648 #define __FUNCT__ "PCBDDCGetNeumannBoundaries"
649 /*@
650  PCBDDCGetNeumannBoundaries - Get parallel IS for Neumann boundaries
651 
652    Collective
653 
654    Input Parameters:
655 .  pc - the preconditioning context
656 
657    Output Parameters:
658 .  NeumannBoundaries - index set defining the Neumann boundaries
659 
660    Level: intermediate
661 
662    Notes: The IS returned (if any) is the same passed in earlier by the user with PCBDDCSetNeumannBoundaries
663 
664 .seealso: PCBDDC
665 @*/
666 PetscErrorCode PCBDDCGetNeumannBoundaries(PC pc,IS *NeumannBoundaries)
667 {
668   PetscErrorCode ierr;
669 
670   PetscFunctionBegin;
671   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
672   ierr = PetscUseMethod(pc,"PCBDDCGetNeumannBoundaries_C",(PC,IS*),(pc,NeumannBoundaries));CHKERRQ(ierr);
673   PetscFunctionReturn(0);
674 }
675 /* -------------------------------------------------------------------------- */
676 
677 #undef __FUNCT__
678 #define __FUNCT__ "PCBDDCGetNeumannBoundariesLocal_BDDC"
679 static PetscErrorCode PCBDDCGetNeumannBoundariesLocal_BDDC(PC pc,IS *NeumannBoundaries)
680 {
681   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
682 
683   PetscFunctionBegin;
684   *NeumannBoundaries = pcbddc->NeumannBoundariesLocal;
685   PetscFunctionReturn(0);
686 }
687 
688 #undef __FUNCT__
689 #define __FUNCT__ "PCBDDCGetNeumannBoundariesLocal"
690 /*@
691  PCBDDCGetNeumannBoundariesLocal - Get parallel IS for Neumann boundaries (in local ordering)
692 
693    Collective
694 
695    Input Parameters:
696 .  pc - the preconditioning context
697 
698    Output Parameters:
699 .  NeumannBoundaries - index set defining the subdomain part of Neumann boundaries
700 
701    Level: intermediate
702 
703    Notes:
704 
705 .seealso: PCBDDC
706 @*/
707 PetscErrorCode PCBDDCGetNeumannBoundariesLocal(PC pc,IS *NeumannBoundaries)
708 {
709   PetscErrorCode ierr;
710 
711   PetscFunctionBegin;
712   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
713   ierr = PetscUseMethod(pc,"PCBDDCGetNeumannBoundariesLocal_C",(PC,IS*),(pc,NeumannBoundaries));CHKERRQ(ierr);
714   PetscFunctionReturn(0);
715 }
716 /* -------------------------------------------------------------------------- */
717 
718 #undef __FUNCT__
719 #define __FUNCT__ "PCBDDCSetLocalAdjacencyGraph_BDDC"
720 static PetscErrorCode PCBDDCSetLocalAdjacencyGraph_BDDC(PC pc, PetscInt nvtxs,const PetscInt xadj[],const PetscInt adjncy[], PetscCopyMode copymode)
721 {
722   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
723   PCBDDCGraph    mat_graph = pcbddc->mat_graph;
724   PetscErrorCode ierr;
725 
726   PetscFunctionBegin;
727   /* free old CSR */
728   ierr = PCBDDCGraphResetCSR(mat_graph);CHKERRQ(ierr);
729   /* TODO: PCBDDCGraphSetAdjacency */
730   /* get CSR into graph structure */
731   if (copymode == PETSC_COPY_VALUES) {
732     ierr = PetscMalloc1(nvtxs+1,&mat_graph->xadj);CHKERRQ(ierr);
733     ierr = PetscMalloc1(xadj[nvtxs],&mat_graph->adjncy);CHKERRQ(ierr);
734     ierr = PetscMemcpy(mat_graph->xadj,xadj,(nvtxs+1)*sizeof(PetscInt));CHKERRQ(ierr);
735     ierr = PetscMemcpy(mat_graph->adjncy,adjncy,xadj[nvtxs]*sizeof(PetscInt));CHKERRQ(ierr);
736   } else if (copymode == PETSC_OWN_POINTER) {
737     mat_graph->xadj = (PetscInt*)xadj;
738     mat_graph->adjncy = (PetscInt*)adjncy;
739   }
740   mat_graph->nvtxs_csr = nvtxs;
741   PetscFunctionReturn(0);
742 }
743 
744 #undef __FUNCT__
745 #define __FUNCT__ "PCBDDCSetLocalAdjacencyGraph"
746 /*@
747  PCBDDCSetLocalAdjacencyGraph - Set adjacency structure (CSR graph) of the local Neumann matrix
748 
749    Not collective
750 
751    Input Parameters:
752 +  pc - the preconditioning context
753 .  nvtxs - number of local vertices of the graph (i.e., the local size of your problem)
754 .  xadj, adjncy - the CSR graph
755 -  copymode - either PETSC_COPY_VALUES or PETSC_OWN_POINTER.
756 
757    Level: intermediate
758 
759    Notes:
760 
761 .seealso: PCBDDC,PetscCopyMode
762 @*/
763 PetscErrorCode PCBDDCSetLocalAdjacencyGraph(PC pc,PetscInt nvtxs,const PetscInt xadj[],const PetscInt adjncy[], PetscCopyMode copymode)
764 {
765   void (*f)(void) = 0;
766   PetscErrorCode ierr;
767 
768   PetscFunctionBegin;
769   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
770   PetscValidIntPointer(xadj,3);
771   PetscValidIntPointer(adjncy,4);
772   if (copymode != PETSC_COPY_VALUES && copymode != PETSC_OWN_POINTER) {
773     SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_SUP,"Unsupported copy mode %d in %s\n",copymode,__FUNCT__);
774   }
775   ierr = PetscTryMethod(pc,"PCBDDCSetLocalAdjacencyGraph_C",(PC,PetscInt,const PetscInt[],const PetscInt[],PetscCopyMode),(pc,nvtxs,xadj,adjncy,copymode));CHKERRQ(ierr);
776   /* free arrays if PCBDDC is not the PC type */
777   ierr = PetscObjectQueryFunction((PetscObject)pc,"PCBDDCSetLocalAdjacencyGraph_C",&f);CHKERRQ(ierr);
778   if (!f && copymode == PETSC_OWN_POINTER) {
779     ierr = PetscFree(xadj);CHKERRQ(ierr);
780     ierr = PetscFree(adjncy);CHKERRQ(ierr);
781   }
782   PetscFunctionReturn(0);
783 }
784 /* -------------------------------------------------------------------------- */
785 
786 #undef __FUNCT__
787 #define __FUNCT__ "PCBDDCSetDofsSplittingLocal_BDDC"
788 static PetscErrorCode PCBDDCSetDofsSplittingLocal_BDDC(PC pc,PetscInt n_is, IS ISForDofs[])
789 {
790   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
791   PetscInt i;
792   PetscErrorCode ierr;
793 
794   PetscFunctionBegin;
795   /* Destroy ISes if they were already set */
796   for (i=0;i<pcbddc->n_ISForDofsLocal;i++) {
797     ierr = ISDestroy(&pcbddc->ISForDofsLocal[i]);CHKERRQ(ierr);
798   }
799   ierr = PetscFree(pcbddc->ISForDofsLocal);CHKERRQ(ierr);
800   /* last user setting takes precendence -> destroy any other customization */
801   for (i=0;i<pcbddc->n_ISForDofs;i++) {
802     ierr = ISDestroy(&pcbddc->ISForDofs[i]);CHKERRQ(ierr);
803   }
804   ierr = PetscFree(pcbddc->ISForDofs);CHKERRQ(ierr);
805   pcbddc->n_ISForDofs = 0;
806   /* allocate space then set */
807   if (n_is) {
808     ierr = PetscMalloc1(n_is,&pcbddc->ISForDofsLocal);CHKERRQ(ierr);
809   }
810   for (i=0;i<n_is;i++) {
811     ierr = PetscObjectReference((PetscObject)ISForDofs[i]);CHKERRQ(ierr);
812     pcbddc->ISForDofsLocal[i]=ISForDofs[i];
813   }
814   pcbddc->n_ISForDofsLocal=n_is;
815   if (n_is) pcbddc->user_provided_isfordofs = PETSC_TRUE;
816   pcbddc->recompute_topography = PETSC_TRUE;
817   PetscFunctionReturn(0);
818 }
819 
820 #undef __FUNCT__
821 #define __FUNCT__ "PCBDDCSetDofsSplittingLocal"
822 /*@
823  PCBDDCSetDofsSplittingLocal - Set index sets defining fields of the local subdomain matrix
824 
825    Collective
826 
827    Input Parameters:
828 +  pc - the preconditioning context
829 -  n_is - number of index sets defining the fields
830 .  ISForDofs - array of IS describing the fields in local ordering
831 
832    Level: intermediate
833 
834    Notes: n_is should be the same among processes. Not all nodes need to be listed: unlisted nodes will belong to a different field.
835 
836 .seealso: PCBDDC
837 @*/
838 PetscErrorCode PCBDDCSetDofsSplittingLocal(PC pc,PetscInt n_is, IS ISForDofs[])
839 {
840   PetscInt       i;
841   PetscErrorCode ierr;
842 
843   PetscFunctionBegin;
844   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
845   PetscValidLogicalCollectiveInt(pc,n_is,2);
846   for (i=0;i<n_is;i++) {
847     PetscCheckSameComm(pc,1,ISForDofs[i],3);
848     PetscValidHeaderSpecific(ISForDofs[i],IS_CLASSID,3);
849   }
850   ierr = PetscTryMethod(pc,"PCBDDCSetDofsSplittingLocal_C",(PC,PetscInt,IS[]),(pc,n_is,ISForDofs));CHKERRQ(ierr);
851   PetscFunctionReturn(0);
852 }
853 /* -------------------------------------------------------------------------- */
854 
855 #undef __FUNCT__
856 #define __FUNCT__ "PCBDDCSetDofsSplitting_BDDC"
857 static PetscErrorCode PCBDDCSetDofsSplitting_BDDC(PC pc,PetscInt n_is, IS ISForDofs[])
858 {
859   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
860   PetscInt i;
861   PetscErrorCode ierr;
862 
863   PetscFunctionBegin;
864   /* Destroy ISes if they were already set */
865   for (i=0;i<pcbddc->n_ISForDofs;i++) {
866     ierr = ISDestroy(&pcbddc->ISForDofs[i]);CHKERRQ(ierr);
867   }
868   ierr = PetscFree(pcbddc->ISForDofs);CHKERRQ(ierr);
869   /* last user setting takes precendence -> destroy any other customization */
870   for (i=0;i<pcbddc->n_ISForDofsLocal;i++) {
871     ierr = ISDestroy(&pcbddc->ISForDofsLocal[i]);CHKERRQ(ierr);
872   }
873   ierr = PetscFree(pcbddc->ISForDofsLocal);CHKERRQ(ierr);
874   pcbddc->n_ISForDofsLocal = 0;
875   /* allocate space then set */
876   if (n_is) {
877     ierr = PetscMalloc1(n_is,&pcbddc->ISForDofs);CHKERRQ(ierr);
878   }
879   for (i=0;i<n_is;i++) {
880     ierr = PetscObjectReference((PetscObject)ISForDofs[i]);CHKERRQ(ierr);
881     pcbddc->ISForDofs[i]=ISForDofs[i];
882   }
883   pcbddc->n_ISForDofs=n_is;
884   if (n_is) pcbddc->user_provided_isfordofs = PETSC_TRUE;
885   pcbddc->recompute_topography = PETSC_TRUE;
886   PetscFunctionReturn(0);
887 }
888 
889 #undef __FUNCT__
890 #define __FUNCT__ "PCBDDCSetDofsSplitting"
891 /*@
892  PCBDDCSetDofsSplitting - Set index sets defining fields of the global matrix
893 
894    Collective
895 
896    Input Parameters:
897 +  pc - the preconditioning context
898 -  n_is - number of index sets defining the fields
899 .  ISForDofs - array of IS describing the fields in global ordering
900 
901    Level: intermediate
902 
903    Notes: Any process can list any global node. Not all nodes need to be listed: unlisted nodes will belong to a different field.
904 
905 .seealso: PCBDDC
906 @*/
907 PetscErrorCode PCBDDCSetDofsSplitting(PC pc,PetscInt n_is, IS ISForDofs[])
908 {
909   PetscInt       i;
910   PetscErrorCode ierr;
911 
912   PetscFunctionBegin;
913   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
914   PetscValidLogicalCollectiveInt(pc,n_is,2);
915   for (i=0;i<n_is;i++) {
916     PetscCheckSameComm(pc,1,ISForDofs[i],3);
917     PetscValidHeaderSpecific(ISForDofs[i],IS_CLASSID,3);
918   }
919   ierr = PetscTryMethod(pc,"PCBDDCSetDofsSplitting_C",(PC,PetscInt,IS[]),(pc,n_is,ISForDofs));CHKERRQ(ierr);
920   PetscFunctionReturn(0);
921 }
922 
923 /* -------------------------------------------------------------------------- */
924 #undef __FUNCT__
925 #define __FUNCT__ "PCPreSolve_BDDC"
926 /* -------------------------------------------------------------------------- */
927 /*
928    PCPreSolve_BDDC - Changes the right hand side and (if necessary) the initial
929                      guess if a transformation of basis approach has been selected.
930 
931    Input Parameter:
932 +  pc - the preconditioner contex
933 
934    Application Interface Routine: PCPreSolve()
935 
936    Notes:
937    The interface routine PCPreSolve() is not usually called directly by
938    the user, but instead is called by KSPSolve().
939 */
940 static PetscErrorCode PCPreSolve_BDDC(PC pc, KSP ksp, Vec rhs, Vec x)
941 {
942   PetscErrorCode ierr;
943   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
944   PC_IS          *pcis = (PC_IS*)(pc->data);
945   Vec            used_vec;
946   PetscBool      copy_rhs = PETSC_TRUE;
947 
948   PetscFunctionBegin;
949   /* if we are working with cg, one dirichlet solve can be avoided during Krylov iterations */
950   if (ksp) {
951     PetscBool iscg;
952     ierr = PetscObjectTypeCompare((PetscObject)ksp,KSPCG,&iscg);CHKERRQ(ierr);
953     if (!iscg) {
954       ierr = PCBDDCSetUseExactDirichlet(pc,PETSC_FALSE);CHKERRQ(ierr);
955     }
956   }
957   /* Creates parallel work vectors used in presolve */
958   if (!pcbddc->original_rhs) {
959     ierr = VecDuplicate(pcis->vec1_global,&pcbddc->original_rhs);CHKERRQ(ierr);
960   }
961   if (!pcbddc->temp_solution) {
962     ierr = VecDuplicate(pcis->vec1_global,&pcbddc->temp_solution);CHKERRQ(ierr);
963   }
964 
965   if (x) {
966     ierr = PetscObjectReference((PetscObject)x);CHKERRQ(ierr);
967     used_vec = x;
968   } else { /* it can only happen when calling PCBDDCMatFETIDPGetRHS */
969     ierr = PetscObjectReference((PetscObject)pcbddc->temp_solution);CHKERRQ(ierr);
970     used_vec = pcbddc->temp_solution;
971     ierr = VecSet(used_vec,0.0);CHKERRQ(ierr);
972   }
973 
974   /* hack into ksp data structure since PCPreSolve comes earlier than setting to zero the guess in src/ksp/ksp/interface/itfunc.c */
975   if (ksp) {
976     /* store the flag for the initial guess since it will be restored back during PCPostSolve_BDDC */
977     ierr = KSPGetInitialGuessNonzero(ksp,&pcbddc->ksp_guess_nonzero);CHKERRQ(ierr);
978     if (!pcbddc->ksp_guess_nonzero) {
979       ierr = VecSet(used_vec,0.0);CHKERRQ(ierr);
980     }
981   }
982 
983   pcbddc->rhs_change = PETSC_FALSE;
984 
985   /* Take into account zeroed rows -> change rhs and store solution removed */
986   if (rhs && pcbddc->DirichletBoundariesLocal) {
987     IS dirIS = NULL;
988 
989     /* DirichletBoundariesLocal may not be consistent among neighbours */
990     ierr = PCBDDCGraphGetDirichletDofs(pcbddc->mat_graph,&dirIS);CHKERRQ(ierr);
991     if (dirIS) {
992       Mat_IS            *matis = (Mat_IS*)pc->pmat->data;
993       PetscInt          dirsize,i,*is_indices;
994       PetscScalar       *array_x;
995       const PetscScalar *array_diagonal;
996 
997       ierr = MatGetDiagonal(pc->pmat,pcis->vec1_global);CHKERRQ(ierr);
998       ierr = VecPointwiseDivide(pcis->vec1_global,rhs,pcis->vec1_global);CHKERRQ(ierr);
999       ierr = VecScatterBegin(matis->ctx,pcis->vec1_global,pcis->vec2_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1000       ierr = VecScatterEnd(matis->ctx,pcis->vec1_global,pcis->vec2_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1001       ierr = VecScatterBegin(matis->ctx,used_vec,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1002       ierr = VecScatterEnd(matis->ctx,used_vec,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1003       ierr = ISGetLocalSize(dirIS,&dirsize);CHKERRQ(ierr);
1004       ierr = VecGetArray(pcis->vec1_N,&array_x);CHKERRQ(ierr);
1005       ierr = VecGetArrayRead(pcis->vec2_N,&array_diagonal);CHKERRQ(ierr);
1006       ierr = ISGetIndices(dirIS,(const PetscInt**)&is_indices);CHKERRQ(ierr);
1007       for (i=0; i<dirsize; i++) array_x[is_indices[i]] = array_diagonal[is_indices[i]];
1008       ierr = ISRestoreIndices(dirIS,(const PetscInt**)&is_indices);CHKERRQ(ierr);
1009       ierr = VecRestoreArrayRead(pcis->vec2_N,&array_diagonal);CHKERRQ(ierr);
1010       ierr = VecRestoreArray(pcis->vec1_N,&array_x);CHKERRQ(ierr);
1011       ierr = VecScatterBegin(matis->ctx,pcis->vec1_N,used_vec,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1012       ierr = VecScatterEnd(matis->ctx,pcis->vec1_N,used_vec,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1013       pcbddc->rhs_change = PETSC_TRUE;
1014     }
1015     ierr = ISDestroy(&dirIS);CHKERRQ(ierr);
1016   }
1017 
1018   /* remove the computed solution or the initial guess from the rhs */
1019   if (pcbddc->rhs_change || (ksp && pcbddc->ksp_guess_nonzero) ) {
1020     /* store the original rhs */
1021     if (copy_rhs) {
1022       ierr = VecCopy(rhs,pcbddc->original_rhs);CHKERRQ(ierr);
1023       copy_rhs = PETSC_FALSE;
1024     }
1025     pcbddc->rhs_change = PETSC_TRUE;
1026     ierr = VecScale(used_vec,-1.0);CHKERRQ(ierr);
1027     ierr = MatMultAdd(pc->pmat,used_vec,rhs,rhs);CHKERRQ(ierr);
1028     ierr = VecScale(used_vec,-1.0);CHKERRQ(ierr);
1029     ierr = VecCopy(used_vec,pcbddc->temp_solution);CHKERRQ(ierr);
1030     if (ksp) {
1031       ierr = KSPSetInitialGuessNonzero(ksp,PETSC_FALSE);CHKERRQ(ierr);
1032     }
1033   }
1034   ierr = VecDestroy(&used_vec);CHKERRQ(ierr);
1035 
1036   /* store partially computed solution and set initial guess */
1037   if (x && pcbddc->use_exact_dirichlet_trick) {
1038     ierr = VecSet(x,0.0);CHKERRQ(ierr);
1039     ierr = VecScatterBegin(pcis->global_to_D,rhs,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1040     ierr = VecScatterEnd(pcis->global_to_D,rhs,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1041     ierr = KSPSolve(pcbddc->ksp_D,pcis->vec1_D,pcis->vec2_D);CHKERRQ(ierr);
1042     ierr = VecScatterBegin(pcis->global_to_D,pcis->vec2_D,x,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1043     ierr = VecScatterEnd(pcis->global_to_D,pcis->vec2_D,x,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1044     if (ksp) {
1045       ierr = KSPSetInitialGuessNonzero(ksp,PETSC_TRUE);CHKERRQ(ierr);
1046     }
1047   }
1048 
1049   if (pcbddc->ChangeOfBasisMatrix) {
1050     PCBDDCChange_ctx change_ctx;
1051 
1052     /* get change ctx */
1053     ierr = MatShellGetContext(pcbddc->new_global_mat,&change_ctx);CHKERRQ(ierr);
1054 
1055     /* set current iteration matrix inside change context (change of basis has been already set into the ctx during PCSetUp) */
1056     ierr = MatDestroy(&change_ctx->original_mat);CHKERRQ(ierr);
1057     ierr = PetscObjectReference((PetscObject)pc->mat);CHKERRQ(ierr);
1058     change_ctx->original_mat = pc->mat;
1059 
1060     /* change iteration matrix */
1061     ierr = MatDestroy(&pc->mat);CHKERRQ(ierr);
1062     ierr = PetscObjectReference((PetscObject)pcbddc->new_global_mat);CHKERRQ(ierr);
1063     pc->mat = pcbddc->new_global_mat;
1064 
1065     /* store the original rhs */
1066     if (copy_rhs) {
1067       ierr = VecCopy(rhs,pcbddc->original_rhs);CHKERRQ(ierr);
1068       copy_rhs = PETSC_FALSE;
1069     }
1070 
1071     /* change rhs */
1072     ierr = MatMultTranspose(change_ctx->global_change,rhs,pcis->vec1_global);CHKERRQ(ierr);
1073     ierr = VecCopy(pcis->vec1_global,rhs);CHKERRQ(ierr);
1074     pcbddc->rhs_change = PETSC_TRUE;
1075   }
1076 
1077   /* remove nullspace if present */
1078   if (ksp && x && pcbddc->NullSpace) {
1079     ierr = MatNullSpaceRemove(pcbddc->NullSpace,x);CHKERRQ(ierr);
1080     /* store the original rhs */
1081     if (copy_rhs) {
1082       ierr = VecCopy(rhs,pcbddc->original_rhs);CHKERRQ(ierr);
1083       copy_rhs = PETSC_FALSE;
1084     }
1085     pcbddc->rhs_change = PETSC_TRUE;
1086     ierr = MatNullSpaceRemove(pcbddc->NullSpace,rhs);CHKERRQ(ierr);
1087   }
1088   PetscFunctionReturn(0);
1089 }
1090 
1091 /* -------------------------------------------------------------------------- */
1092 #undef __FUNCT__
1093 #define __FUNCT__ "PCPostSolve_BDDC"
1094 /* -------------------------------------------------------------------------- */
1095 /*
1096    PCPostSolve_BDDC - Changes the computed solution if a transformation of basis
1097                      approach has been selected. Also, restores rhs to its original state.
1098 
1099    Input Parameter:
1100 +  pc - the preconditioner contex
1101 
1102    Application Interface Routine: PCPostSolve()
1103 
1104    Notes:
1105    The interface routine PCPostSolve() is not usually called directly by
1106    the user, but instead is called by KSPSolve().
1107 */
1108 static PetscErrorCode PCPostSolve_BDDC(PC pc, KSP ksp, Vec rhs, Vec x)
1109 {
1110   PetscErrorCode ierr;
1111   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
1112 
1113   PetscFunctionBegin;
1114   if (pcbddc->ChangeOfBasisMatrix) {
1115     PCBDDCChange_ctx change_ctx;
1116 
1117     /* get change ctx */
1118     ierr = MatShellGetContext(pcbddc->new_global_mat,&change_ctx);CHKERRQ(ierr);
1119 
1120     /* restore iteration matrix */
1121     ierr = MatDestroy(&pc->mat);CHKERRQ(ierr);
1122     ierr = PetscObjectReference((PetscObject)change_ctx->original_mat);CHKERRQ(ierr);
1123     pc->mat = change_ctx->original_mat;
1124 
1125     /* get solution in original basis */
1126     if (x) {
1127       PC_IS *pcis = (PC_IS*)(pc->data);
1128       ierr = MatMult(change_ctx->global_change,x,pcis->vec1_global);CHKERRQ(ierr);
1129       ierr = VecCopy(pcis->vec1_global,x);CHKERRQ(ierr);
1130     }
1131   }
1132 
1133   /* add solution removed in presolve */
1134   if (x && pcbddc->rhs_change) {
1135     ierr = VecAXPY(x,1.0,pcbddc->temp_solution);CHKERRQ(ierr);
1136   }
1137 
1138   /* restore rhs to its original state */
1139   if (rhs && pcbddc->rhs_change) {
1140     ierr = VecCopy(pcbddc->original_rhs,rhs);CHKERRQ(ierr);
1141   }
1142   pcbddc->rhs_change = PETSC_FALSE;
1143 
1144   /* restore ksp guess state */
1145   if (ksp) {
1146     ierr = KSPSetInitialGuessNonzero(ksp,pcbddc->ksp_guess_nonzero);CHKERRQ(ierr);
1147   }
1148   PetscFunctionReturn(0);
1149 }
1150 /* -------------------------------------------------------------------------- */
1151 #undef __FUNCT__
1152 #define __FUNCT__ "PCSetUp_BDDC"
1153 /* -------------------------------------------------------------------------- */
1154 /*
1155    PCSetUp_BDDC - Prepares for the use of the BDDC preconditioner
1156                   by setting data structures and options.
1157 
1158    Input Parameter:
1159 +  pc - the preconditioner context
1160 
1161    Application Interface Routine: PCSetUp()
1162 
1163    Notes:
1164    The interface routine PCSetUp() is not usually called directly by
1165    the user, but instead is called by PCApply() if necessary.
1166 */
1167 PetscErrorCode PCSetUp_BDDC(PC pc)
1168 {
1169   PetscErrorCode ierr;
1170   PC_BDDC*       pcbddc = (PC_BDDC*)pc->data;
1171   Mat_IS*        matis;
1172   MatNullSpace   nearnullspace;
1173   PetscBool      computetopography,computesolvers,computesubschurs;
1174   PetscBool      computeconstraintsmatrix;
1175   PetscBool      new_nearnullspace_provided,ismatis;
1176 
1177   PetscFunctionBegin;
1178   ierr = PetscObjectTypeCompare((PetscObject)pc->pmat,MATIS,&ismatis);CHKERRQ(ierr);
1179   if (!ismatis) {
1180     SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_ARG_WRONG,"PCBDDC preconditioner requires matrix of type MATIS");
1181   }
1182   matis = (Mat_IS*)pc->pmat->data;
1183   /* the following lines of code should be replaced by a better logic between PCIS, PCNN, PCBDDC and other future nonoverlapping preconditioners */
1184   /* For BDDC we need to define a local "Neumann" problem different to that defined in PCISSetup
1185      Also, BDDC directly build the Dirichlet problem */
1186   /* split work */
1187   if (pc->setupcalled) {
1188     if (pc->flag == SAME_NONZERO_PATTERN) {
1189       computetopography = PETSC_FALSE;
1190       computesolvers = PETSC_TRUE;
1191     } else { /* DIFFERENT_NONZERO_PATTERN */
1192       computetopography = PETSC_TRUE;
1193       computesolvers = PETSC_TRUE;
1194     }
1195   } else {
1196     computetopography = PETSC_TRUE;
1197     computesolvers = PETSC_TRUE;
1198   }
1199   if (pcbddc->recompute_topography) {
1200     computetopography = PETSC_TRUE;
1201   }
1202   computeconstraintsmatrix = PETSC_FALSE;
1203   if (pcbddc->adaptive_threshold > 0.0 && !pcbddc->use_deluxe_scaling) {
1204     SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Cannot compute adaptive constraints without deluxe scaling. Rerun with -pc_bddc_use_deluxe_scaling");
1205   }
1206   pcbddc->adaptive_selection = (PetscBool)(pcbddc->adaptive_threshold > 0.0 && pcbddc->use_deluxe_scaling);
1207   computesubschurs = (PetscBool)(pcbddc->adaptive_selection || pcbddc->use_deluxe_scaling);
1208 
1209   /* Get stdout for dbg */
1210   if (pcbddc->dbg_flag) {
1211     if (!pcbddc->dbg_viewer) {
1212       pcbddc->dbg_viewer = PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)pc));
1213       ierr = PetscViewerASCIISynchronizedAllow(pcbddc->dbg_viewer,PETSC_TRUE);CHKERRQ(ierr);
1214     }
1215     ierr = PetscViewerASCIIAddTab(pcbddc->dbg_viewer,2*pcbddc->current_level);CHKERRQ(ierr);
1216   }
1217 
1218   /*ierr = MatIsSymmetric(pc->pmat,0.,&pcbddc->issym);CHKERRQ(ierr);*/
1219   { /* this is a temporary workaround since seqbaij matrices does not have support for symmetry checking */
1220     PetscBool setsym;
1221     ierr = MatIsSymmetricKnown(pc->pmat,&setsym,&pcbddc->issym);CHKERRQ(ierr);
1222     if (!setsym) pcbddc->issym = PETSC_FALSE;
1223   }
1224 
1225   if (pcbddc->user_ChangeOfBasisMatrix) {
1226     /* use_change_of_basis flag is used to automatically compute a change of basis from constraints */
1227     pcbddc->use_change_of_basis = PETSC_FALSE;
1228     ierr = PCBDDCComputeLocalMatrix(pc,pcbddc->user_ChangeOfBasisMatrix);CHKERRQ(ierr);
1229   } else {
1230     ierr = MatDestroy(&pcbddc->local_mat);CHKERRQ(ierr);
1231     ierr = PetscObjectReference((PetscObject)matis->A);CHKERRQ(ierr);
1232     pcbddc->local_mat = matis->A;
1233   }
1234 
1235   /* workaround for reals */
1236 #if !defined(PETSC_USE_COMPLEX)
1237   ierr = MatSetOption(pcbddc->local_mat,MAT_HERMITIAN,pcbddc->issym);CHKERRQ(ierr);
1238 #endif
1239 
1240   /* Set up all the "iterative substructuring" common block without computing solvers */
1241   {
1242     Mat temp_mat;
1243 
1244     temp_mat = matis->A;
1245     matis->A = pcbddc->local_mat;
1246     ierr = PCISSetUp(pc,PETSC_FALSE);CHKERRQ(ierr);
1247     pcbddc->local_mat = matis->A;
1248     matis->A = temp_mat;
1249   }
1250 
1251   /* Analyze interface and setup sub_schurs data */
1252   if (computetopography) {
1253     ierr = PCBDDCAnalyzeInterface(pc);CHKERRQ(ierr);
1254     computeconstraintsmatrix = PETSC_TRUE;
1255   }
1256 
1257   /* Setup local dirichlet solver ksp_D and sub_schurs solvers */
1258   if (computesolvers) {
1259     ierr = PCBDDCSetUpLocalSolvers(pc,PETSC_TRUE,PETSC_FALSE);CHKERRQ(ierr);
1260     if (computesubschurs) {
1261       if (computetopography) {
1262         ierr = PCBDDCInitSubSchurs(pc);CHKERRQ(ierr);
1263       }
1264       ierr = PCBDDCSetUpSubSchurs(pc);CHKERRQ(ierr);
1265       if (pcbddc->adaptive_selection) {
1266         ierr = PCBDDCAdaptiveSelection(pc);CHKERRQ(ierr);
1267         computeconstraintsmatrix = PETSC_TRUE;
1268       }
1269     }
1270   }
1271 
1272   /* infer if NullSpace object attached to Mat via MatSetNearNullSpace has changed */
1273   new_nearnullspace_provided = PETSC_FALSE;
1274   ierr = MatGetNearNullSpace(pc->pmat,&nearnullspace);CHKERRQ(ierr);
1275   if (pcbddc->onearnullspace) { /* already used nearnullspace */
1276     if (!nearnullspace) { /* near null space attached to mat has been destroyed */
1277       new_nearnullspace_provided = PETSC_TRUE;
1278     } else {
1279       /* determine if the two nullspaces are different (should be lightweight) */
1280       if (nearnullspace != pcbddc->onearnullspace) {
1281         new_nearnullspace_provided = PETSC_TRUE;
1282       } else { /* maybe the user has changed the content of the nearnullspace so check vectors ObjectStateId */
1283         PetscInt         i;
1284         const Vec        *nearnullvecs;
1285         PetscObjectState state;
1286         PetscInt         nnsp_size;
1287         ierr = MatNullSpaceGetVecs(nearnullspace,NULL,&nnsp_size,&nearnullvecs);CHKERRQ(ierr);
1288         for (i=0;i<nnsp_size;i++) {
1289           ierr = PetscObjectStateGet((PetscObject)nearnullvecs[i],&state);CHKERRQ(ierr);
1290           if (pcbddc->onearnullvecs_state[i] != state) {
1291             new_nearnullspace_provided = PETSC_TRUE;
1292             break;
1293           }
1294         }
1295       }
1296     }
1297   } else {
1298     if (!nearnullspace) { /* both nearnullspaces are null */
1299       new_nearnullspace_provided = PETSC_FALSE;
1300     } else { /* nearnullspace attached later */
1301       new_nearnullspace_provided = PETSC_TRUE;
1302     }
1303   }
1304 
1305   /* Setup constraints and related work vectors */
1306   /* reset primal space flags */
1307   pcbddc->new_primal_space = PETSC_FALSE;
1308   pcbddc->new_primal_space_local = PETSC_FALSE;
1309   if (computeconstraintsmatrix || new_nearnullspace_provided) {
1310     /* It also sets the primal space flags */
1311     ierr = PCBDDCConstraintsSetUp(pc);CHKERRQ(ierr);
1312     /* Allocate needed local vectors (which depends on quantities defined during ConstraintsSetUp) */
1313     ierr = PCBDDCSetUpLocalWorkVectors(pc);CHKERRQ(ierr);
1314   }
1315 
1316   if (computesolvers || pcbddc->new_primal_space) {
1317     if (pcbddc->use_change_of_basis) {
1318       PC_IS *pcis = (PC_IS*)(pc->data);
1319 
1320       ierr = PCBDDCComputeLocalMatrix(pc,pcbddc->ChangeOfBasisMatrix);CHKERRQ(ierr);
1321       /* get submatrices */
1322       ierr = MatDestroy(&pcis->A_IB);CHKERRQ(ierr);
1323       ierr = MatDestroy(&pcis->A_BI);CHKERRQ(ierr);
1324       ierr = MatDestroy(&pcis->A_BB);CHKERRQ(ierr);
1325       ierr = MatGetSubMatrix(pcbddc->local_mat,pcis->is_B_local,pcis->is_B_local,MAT_INITIAL_MATRIX,&pcis->A_BB);CHKERRQ(ierr);
1326       ierr = MatGetSubMatrix(pcbddc->local_mat,pcis->is_I_local,pcis->is_B_local,MAT_INITIAL_MATRIX,&pcis->A_IB);CHKERRQ(ierr);
1327       ierr = MatGetSubMatrix(pcbddc->local_mat,pcis->is_B_local,pcis->is_I_local,MAT_INITIAL_MATRIX,&pcis->A_BI);CHKERRQ(ierr);
1328       /* set flag in pcis to not reuse submatrices during PCISCreate */
1329       pcis->reusesubmatrices = PETSC_FALSE;
1330     } else if (!pcbddc->user_ChangeOfBasisMatrix) {
1331       ierr = MatDestroy(&pcbddc->local_mat);CHKERRQ(ierr);
1332       ierr = PetscObjectReference((PetscObject)matis->A);CHKERRQ(ierr);
1333       pcbddc->local_mat = matis->A;
1334     }
1335     /* SetUp coarse and local Neumann solvers */
1336     ierr = PCBDDCSetUpSolvers(pc);CHKERRQ(ierr);
1337     /* SetUp Scaling operator */
1338     ierr = PCBDDCScalingSetUp(pc);CHKERRQ(ierr);
1339   }
1340 
1341   if (pcbddc->dbg_flag) {
1342     ierr = PetscViewerASCIISubtractTab(pcbddc->dbg_viewer,2*pcbddc->current_level);CHKERRQ(ierr);
1343   }
1344   PetscFunctionReturn(0);
1345 }
1346 
1347 /* -------------------------------------------------------------------------- */
1348 /*
1349    PCApply_BDDC - Applies the BDDC operator to a vector.
1350 
1351    Input Parameters:
1352 .  pc - the preconditioner context
1353 .  r - input vector (global)
1354 
1355    Output Parameter:
1356 .  z - output vector (global)
1357 
1358    Application Interface Routine: PCApply()
1359  */
1360 #undef __FUNCT__
1361 #define __FUNCT__ "PCApply_BDDC"
1362 PetscErrorCode PCApply_BDDC(PC pc,Vec r,Vec z)
1363 {
1364   PC_IS             *pcis = (PC_IS*)(pc->data);
1365   PC_BDDC           *pcbddc = (PC_BDDC*)(pc->data);
1366   PetscInt          n_B = pcis->n_B, n_D = pcis->n - n_B;
1367   PetscErrorCode    ierr;
1368   const PetscScalar one = 1.0;
1369   const PetscScalar m_one = -1.0;
1370   const PetscScalar zero = 0.0;
1371 
1372 /* This code is similar to that provided in nn.c for PCNN
1373    NN interface preconditioner changed to BDDC
1374    Added support for M_3 preconditioner in the reference article (code is active if pcbddc->switch_static == PETSC_TRUE) */
1375 
1376   PetscFunctionBegin;
1377   if (!pcbddc->use_exact_dirichlet_trick) {
1378     ierr = VecCopy(r,z);CHKERRQ(ierr);
1379     /* First Dirichlet solve */
1380     ierr = VecScatterBegin(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1381     ierr = VecScatterEnd(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1382     /*
1383       Assembling right hand side for BDDC operator
1384       - pcis->vec1_D for the Dirichlet part (if needed, i.e. pcbddc->switch_static == PETSC_TRUE)
1385       - pcis->vec1_B the interface part of the global vector z
1386     */
1387     if (n_D) {
1388       ierr = KSPSolve(pcbddc->ksp_D,pcis->vec1_D,pcis->vec2_D);CHKERRQ(ierr);
1389       ierr = VecScale(pcis->vec2_D,m_one);CHKERRQ(ierr);
1390       if (pcbddc->switch_static) { ierr = MatMultAdd(pcis->A_II,pcis->vec2_D,pcis->vec1_D,pcis->vec1_D);CHKERRQ(ierr); }
1391       ierr = MatMult(pcis->A_BI,pcis->vec2_D,pcis->vec1_B);CHKERRQ(ierr);
1392     } else {
1393       ierr = VecSet(pcis->vec1_B,zero);CHKERRQ(ierr);
1394     }
1395     ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1396     ierr = VecScatterEnd(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1397     ierr = PCBDDCScalingRestriction(pc,z,pcis->vec1_B);CHKERRQ(ierr);
1398   } else {
1399     if (pcbddc->switch_static) {
1400       ierr = VecSet(pcis->vec1_D,zero);CHKERRQ(ierr);
1401     }
1402     ierr = PCBDDCScalingRestriction(pc,r,pcis->vec1_B);CHKERRQ(ierr);
1403   }
1404 
1405   /* Apply interface preconditioner
1406      input/output vecs: pcis->vec1_B and pcis->vec1_D */
1407   ierr = PCBDDCApplyInterfacePreconditioner(pc,PETSC_FALSE);CHKERRQ(ierr);
1408 
1409   /* Apply transpose of partition of unity operator */
1410   ierr = PCBDDCScalingExtension(pc,pcis->vec1_B,z);CHKERRQ(ierr);
1411 
1412   /* Second Dirichlet solve and assembling of output */
1413   ierr = VecScatterBegin(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1414   ierr = VecScatterEnd(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1415   if (n_B) {
1416     ierr = MatMult(pcis->A_IB,pcis->vec1_B,pcis->vec3_D);CHKERRQ(ierr);
1417     if (pcbddc->switch_static) { ierr = MatMultAdd(pcis->A_II,pcis->vec1_D,pcis->vec3_D,pcis->vec3_D);CHKERRQ(ierr); }
1418   } else if (pcbddc->switch_static) {
1419     ierr = MatMult(pcis->A_II,pcis->vec1_D,pcis->vec3_D);CHKERRQ(ierr);
1420   }
1421   ierr = KSPSolve(pcbddc->ksp_D,pcis->vec3_D,pcis->vec4_D);CHKERRQ(ierr);
1422   if (!pcbddc->use_exact_dirichlet_trick) {
1423     if (pcbddc->switch_static) {
1424       ierr = VecAXPBYPCZ(pcis->vec2_D,m_one,one,m_one,pcis->vec4_D,pcis->vec1_D);CHKERRQ(ierr);
1425     } else {
1426       ierr = VecAXPBY(pcis->vec2_D,m_one,m_one,pcis->vec4_D);CHKERRQ(ierr);
1427     }
1428     ierr = VecScatterBegin(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1429     ierr = VecScatterEnd(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1430   } else {
1431     if (pcbddc->switch_static) {
1432       ierr = VecAXPBY(pcis->vec4_D,one,m_one,pcis->vec1_D);CHKERRQ(ierr);
1433     } else {
1434       ierr = VecScale(pcis->vec4_D,m_one);CHKERRQ(ierr);
1435     }
1436     ierr = VecScatterBegin(pcis->global_to_D,pcis->vec4_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1437     ierr = VecScatterEnd(pcis->global_to_D,pcis->vec4_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1438   }
1439   PetscFunctionReturn(0);
1440 }
1441 
1442 /* -------------------------------------------------------------------------- */
1443 /*
1444    PCApplyTranspose_BDDC - Applies the transpose of the BDDC operator to a vector.
1445 
1446    Input Parameters:
1447 .  pc - the preconditioner context
1448 .  r - input vector (global)
1449 
1450    Output Parameter:
1451 .  z - output vector (global)
1452 
1453    Application Interface Routine: PCApplyTranspose()
1454  */
1455 #undef __FUNCT__
1456 #define __FUNCT__ "PCApplyTranspose_BDDC"
1457 PetscErrorCode PCApplyTranspose_BDDC(PC pc,Vec r,Vec z)
1458 {
1459   PC_IS             *pcis = (PC_IS*)(pc->data);
1460   PC_BDDC           *pcbddc = (PC_BDDC*)(pc->data);
1461   PetscInt          n_B = pcis->n_B, n_D = pcis->n - n_B;
1462   PetscErrorCode    ierr;
1463   const PetscScalar one = 1.0;
1464   const PetscScalar m_one = -1.0;
1465   const PetscScalar zero = 0.0;
1466 
1467   PetscFunctionBegin;
1468   if (!pcbddc->use_exact_dirichlet_trick) {
1469     ierr = VecCopy(r,z);CHKERRQ(ierr);
1470     /* First Dirichlet solve */
1471     ierr = VecScatterBegin(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1472     ierr = VecScatterEnd(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1473     /*
1474       Assembling right hand side for BDDC operator
1475       - pcis->vec1_D for the Dirichlet part (if needed, i.e. pcbddc->switch_static == PETSC_TRUE)
1476       - pcis->vec1_B the interface part of the global vector z
1477     */
1478     if (n_D) {
1479       ierr = KSPSolveTranspose(pcbddc->ksp_D,pcis->vec1_D,pcis->vec2_D);CHKERRQ(ierr);
1480       ierr = VecScale(pcis->vec2_D,m_one);CHKERRQ(ierr);
1481       if (pcbddc->switch_static) { ierr = MatMultTransposeAdd(pcis->A_II,pcis->vec2_D,pcis->vec1_D,pcis->vec1_D);CHKERRQ(ierr); }
1482       ierr = MatMultTranspose(pcis->A_IB,pcis->vec2_D,pcis->vec1_B);CHKERRQ(ierr);
1483     } else {
1484       ierr = VecSet(pcis->vec1_B,zero);CHKERRQ(ierr);
1485     }
1486     ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1487     ierr = VecScatterEnd(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1488     ierr = PCBDDCScalingRestriction(pc,z,pcis->vec1_B);CHKERRQ(ierr);
1489   } else {
1490     if (pcbddc->switch_static) {
1491       ierr = VecSet(pcis->vec1_D,zero);CHKERRQ(ierr);
1492     }
1493     ierr = PCBDDCScalingRestriction(pc,r,pcis->vec1_B);CHKERRQ(ierr);
1494   }
1495 
1496   /* Apply interface preconditioner
1497      input/output vecs: pcis->vec1_B and pcis->vec1_D */
1498   ierr = PCBDDCApplyInterfacePreconditioner(pc,PETSC_TRUE);CHKERRQ(ierr);
1499 
1500   /* Apply transpose of partition of unity operator */
1501   ierr = PCBDDCScalingExtension(pc,pcis->vec1_B,z);CHKERRQ(ierr);
1502 
1503   /* Second Dirichlet solve and assembling of output */
1504   ierr = VecScatterBegin(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1505   ierr = VecScatterEnd(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1506   if (n_B) {
1507     ierr = MatMultTranspose(pcis->A_BI,pcis->vec1_B,pcis->vec3_D);CHKERRQ(ierr);
1508     if (pcbddc->switch_static) { ierr = MatMultTransposeAdd(pcis->A_II,pcis->vec1_D,pcis->vec3_D,pcis->vec3_D);CHKERRQ(ierr); }
1509   } else if (pcbddc->switch_static) {
1510     ierr = MatMultTranspose(pcis->A_II,pcis->vec1_D,pcis->vec3_D);CHKERRQ(ierr);
1511   }
1512   ierr = KSPSolveTranspose(pcbddc->ksp_D,pcis->vec3_D,pcis->vec4_D);CHKERRQ(ierr);
1513   if (!pcbddc->use_exact_dirichlet_trick) {
1514     if (pcbddc->switch_static) {
1515       ierr = VecAXPBYPCZ(pcis->vec2_D,m_one,one,m_one,pcis->vec4_D,pcis->vec1_D);CHKERRQ(ierr);
1516     } else {
1517       ierr = VecAXPBY(pcis->vec2_D,m_one,m_one,pcis->vec4_D);CHKERRQ(ierr);
1518     }
1519     ierr = VecScatterBegin(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1520     ierr = VecScatterEnd(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1521   } else {
1522     if (pcbddc->switch_static) {
1523       ierr = VecAXPBY(pcis->vec4_D,one,m_one,pcis->vec1_D);CHKERRQ(ierr);
1524     } else {
1525       ierr = VecScale(pcis->vec4_D,m_one);CHKERRQ(ierr);
1526     }
1527     ierr = VecScatterBegin(pcis->global_to_D,pcis->vec4_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1528     ierr = VecScatterEnd(pcis->global_to_D,pcis->vec4_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1529   }
1530   PetscFunctionReturn(0);
1531 }
1532 /* -------------------------------------------------------------------------- */
1533 
1534 #undef __FUNCT__
1535 #define __FUNCT__ "PCDestroy_BDDC"
1536 PetscErrorCode PCDestroy_BDDC(PC pc)
1537 {
1538   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
1539   PetscErrorCode ierr;
1540 
1541   PetscFunctionBegin;
1542   /* free data created by PCIS */
1543   ierr = PCISDestroy(pc);CHKERRQ(ierr);
1544   /* free BDDC custom data  */
1545   ierr = PCBDDCResetCustomization(pc);CHKERRQ(ierr);
1546   /* destroy objects related to topography */
1547   ierr = PCBDDCResetTopography(pc);CHKERRQ(ierr);
1548   /* free allocated graph structure */
1549   ierr = PetscFree(pcbddc->mat_graph);CHKERRQ(ierr);
1550   /* free allocated sub schurs structure */
1551   ierr = PetscFree(pcbddc->sub_schurs);CHKERRQ(ierr);
1552   /* destroy objects for scaling operator */
1553   ierr = PCBDDCScalingDestroy(pc);CHKERRQ(ierr);
1554   ierr = PetscFree(pcbddc->deluxe_ctx);CHKERRQ(ierr);
1555   /* free solvers stuff */
1556   ierr = PCBDDCResetSolvers(pc);CHKERRQ(ierr);
1557   /* free global vectors needed in presolve */
1558   ierr = VecDestroy(&pcbddc->temp_solution);CHKERRQ(ierr);
1559   ierr = VecDestroy(&pcbddc->original_rhs);CHKERRQ(ierr);
1560   /* free stuff for change of basis hooks */
1561   if (pcbddc->new_global_mat) {
1562     PCBDDCChange_ctx change_ctx;
1563     ierr = MatShellGetContext(pcbddc->new_global_mat,&change_ctx);CHKERRQ(ierr);
1564     ierr = MatDestroy(&change_ctx->original_mat);CHKERRQ(ierr);
1565     ierr = MatDestroy(&change_ctx->global_change);CHKERRQ(ierr);
1566     ierr = VecDestroyVecs(2,&change_ctx->work);CHKERRQ(ierr);
1567     ierr = PetscFree(change_ctx);CHKERRQ(ierr);
1568   }
1569   ierr = MatDestroy(&pcbddc->new_global_mat);CHKERRQ(ierr);
1570   /* remove functions */
1571   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetChangeOfBasisMat_C",NULL);CHKERRQ(ierr);
1572   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetPrimalVerticesLocalIS_C",NULL);CHKERRQ(ierr);
1573   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetCoarseningRatio_C",NULL);CHKERRQ(ierr);
1574   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevel_C",NULL);CHKERRQ(ierr);
1575   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetUseExactDirichlet_C",NULL);CHKERRQ(ierr);
1576   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevels_C",NULL);CHKERRQ(ierr);
1577   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNullSpace_C",NULL);CHKERRQ(ierr);
1578   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundaries_C",NULL);CHKERRQ(ierr);
1579   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundariesLocal_C",NULL);CHKERRQ(ierr);
1580   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundaries_C",NULL);CHKERRQ(ierr);
1581   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundariesLocal_C",NULL);CHKERRQ(ierr);
1582   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundaries_C",NULL);CHKERRQ(ierr);
1583   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundariesLocal_C",NULL);CHKERRQ(ierr);
1584   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundaries_C",NULL);CHKERRQ(ierr);
1585   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundariesLocal_C",NULL);CHKERRQ(ierr);
1586   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplitting_C",NULL);CHKERRQ(ierr);
1587   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplittingLocal_C",NULL);CHKERRQ(ierr);
1588   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLocalAdjacencyGraph_C",NULL);CHKERRQ(ierr);
1589   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCCreateFETIDPOperators_C",NULL);CHKERRQ(ierr);
1590   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetRHS_C",NULL);CHKERRQ(ierr);
1591   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetSolution_C",NULL);CHKERRQ(ierr);
1592   /* Free the private data structure */
1593   ierr = PetscFree(pc->data);CHKERRQ(ierr);
1594   PetscFunctionReturn(0);
1595 }
1596 /* -------------------------------------------------------------------------- */
1597 
1598 #undef __FUNCT__
1599 #define __FUNCT__ "PCBDDCMatFETIDPGetRHS_BDDC"
1600 static PetscErrorCode PCBDDCMatFETIDPGetRHS_BDDC(Mat fetidp_mat, Vec standard_rhs, Vec fetidp_flux_rhs)
1601 {
1602   FETIDPMat_ctx  mat_ctx;
1603   Vec            copy_standard_rhs;
1604   PC_IS*         pcis;
1605   PC_BDDC*       pcbddc;
1606   PetscErrorCode ierr;
1607 
1608   PetscFunctionBegin;
1609   ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr);
1610   pcis = (PC_IS*)mat_ctx->pc->data;
1611   pcbddc = (PC_BDDC*)mat_ctx->pc->data;
1612 
1613   /*
1614      change of basis for physical rhs if needed
1615      It also changes the rhs in case of dirichlet boundaries
1616      TODO: better management when FETIDP will have its own class
1617   */
1618   ierr = VecDuplicate(standard_rhs,&copy_standard_rhs);CHKERRQ(ierr);
1619   ierr = VecCopy(standard_rhs,copy_standard_rhs);CHKERRQ(ierr);
1620   ierr = PCPreSolve_BDDC(mat_ctx->pc,NULL,copy_standard_rhs,NULL);CHKERRQ(ierr);
1621   /* store vectors for computation of fetidp final solution */
1622   ierr = VecScatterBegin(pcis->global_to_D,copy_standard_rhs,mat_ctx->temp_solution_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1623   ierr = VecScatterEnd(pcis->global_to_D,copy_standard_rhs,mat_ctx->temp_solution_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1624   /* scale rhs since it should be unassembled */
1625   /* TODO use counter scaling? (also below) */
1626   ierr = VecScatterBegin(pcis->global_to_B,copy_standard_rhs,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1627   ierr = VecScatterEnd(pcis->global_to_B,copy_standard_rhs,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1628   /* Apply partition of unity */
1629   ierr = VecPointwiseMult(mat_ctx->temp_solution_B,pcis->D,mat_ctx->temp_solution_B);CHKERRQ(ierr);
1630   /* ierr = PCBDDCScalingRestriction(mat_ctx->pc,copy_standard_rhs,mat_ctx->temp_solution_B);CHKERRQ(ierr); */
1631   if (!pcbddc->switch_static) {
1632     /* compute partially subassembled Schur complement right-hand side */
1633     ierr = KSPSolve(pcbddc->ksp_D,mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr);
1634     ierr = MatMult(pcis->A_BI,pcis->vec1_D,pcis->vec1_B);CHKERRQ(ierr);
1635     ierr = VecAXPY(mat_ctx->temp_solution_B,-1.0,pcis->vec1_B);CHKERRQ(ierr);
1636     ierr = VecSet(copy_standard_rhs,0.0);CHKERRQ(ierr);
1637     ierr = VecScatterBegin(pcis->global_to_B,mat_ctx->temp_solution_B,copy_standard_rhs,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1638     ierr = VecScatterEnd(pcis->global_to_B,mat_ctx->temp_solution_B,copy_standard_rhs,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1639     /* ierr = PCBDDCScalingRestriction(mat_ctx->pc,copy_standard_rhs,mat_ctx->temp_solution_B);CHKERRQ(ierr); */
1640     ierr = VecScatterBegin(pcis->global_to_B,copy_standard_rhs,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1641     ierr = VecScatterEnd(pcis->global_to_B,copy_standard_rhs,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1642     ierr = VecPointwiseMult(mat_ctx->temp_solution_B,pcis->D,mat_ctx->temp_solution_B);CHKERRQ(ierr);
1643   }
1644   ierr = VecDestroy(&copy_standard_rhs);CHKERRQ(ierr);
1645   /* BDDC rhs */
1646   ierr = VecCopy(mat_ctx->temp_solution_B,pcis->vec1_B);CHKERRQ(ierr);
1647   if (pcbddc->switch_static) {
1648     ierr = VecCopy(mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr);
1649   }
1650   /* apply BDDC */
1651   ierr = PCBDDCApplyInterfacePreconditioner(mat_ctx->pc,PETSC_FALSE);CHKERRQ(ierr);
1652   /* Application of B_delta and assembling of rhs for fetidp fluxes */
1653   ierr = VecSet(fetidp_flux_rhs,0.0);CHKERRQ(ierr);
1654   ierr = MatMult(mat_ctx->B_delta,pcis->vec1_B,mat_ctx->lambda_local);CHKERRQ(ierr);
1655   ierr = VecScatterBegin(mat_ctx->l2g_lambda,mat_ctx->lambda_local,fetidp_flux_rhs,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1656   ierr = VecScatterEnd(mat_ctx->l2g_lambda,mat_ctx->lambda_local,fetidp_flux_rhs,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1657   PetscFunctionReturn(0);
1658 }
1659 
1660 #undef __FUNCT__
1661 #define __FUNCT__ "PCBDDCMatFETIDPGetRHS"
1662 /*@
1663  PCBDDCMatFETIDPGetRHS - Compute the right-hand side for FETIDP linear system
1664 
1665    Collective
1666 
1667    Input Parameters:
1668 +  fetidp_mat   - the FETIDP matrix object obtained by calling PCBDDCCreateFETIDPOperators
1669 .  standard_rhs - the right-hand side for your linear system
1670 
1671    Output Parameters:
1672 -  fetidp_flux_rhs   - the right-hand side for the FETIDP linear system
1673 
1674    Level: developer
1675 
1676    Notes:
1677 
1678 .seealso: PCBDDC,PCBDDCCreateFETIDPOperators
1679 @*/
1680 PetscErrorCode PCBDDCMatFETIDPGetRHS(Mat fetidp_mat, Vec standard_rhs, Vec fetidp_flux_rhs)
1681 {
1682   FETIDPMat_ctx  mat_ctx;
1683   PetscErrorCode ierr;
1684 
1685   PetscFunctionBegin;
1686   ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr);
1687   ierr = PetscTryMethod(mat_ctx->pc,"PCBDDCMatFETIDPGetRHS_C",(Mat,Vec,Vec),(fetidp_mat,standard_rhs,fetidp_flux_rhs));CHKERRQ(ierr);
1688   PetscFunctionReturn(0);
1689 }
1690 /* -------------------------------------------------------------------------- */
1691 
1692 #undef __FUNCT__
1693 #define __FUNCT__ "PCBDDCMatFETIDPGetSolution_BDDC"
1694 static PetscErrorCode PCBDDCMatFETIDPGetSolution_BDDC(Mat fetidp_mat, Vec fetidp_flux_sol, Vec standard_sol)
1695 {
1696   FETIDPMat_ctx  mat_ctx;
1697   PC_IS*         pcis;
1698   PC_BDDC*       pcbddc;
1699   PetscErrorCode ierr;
1700 
1701   PetscFunctionBegin;
1702   ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr);
1703   pcis = (PC_IS*)mat_ctx->pc->data;
1704   pcbddc = (PC_BDDC*)mat_ctx->pc->data;
1705 
1706   /* apply B_delta^T */
1707   ierr = VecScatterBegin(mat_ctx->l2g_lambda,fetidp_flux_sol,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1708   ierr = VecScatterEnd  (mat_ctx->l2g_lambda,fetidp_flux_sol,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1709   ierr = MatMultTranspose(mat_ctx->B_delta,mat_ctx->lambda_local,pcis->vec1_B);CHKERRQ(ierr);
1710   /* compute rhs for BDDC application */
1711   ierr = VecAYPX(pcis->vec1_B,-1.0,mat_ctx->temp_solution_B);CHKERRQ(ierr);
1712   if (pcbddc->switch_static) {
1713     ierr = VecCopy(mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr);
1714   }
1715   /* apply BDDC */
1716   ierr = PCBDDCApplyInterfacePreconditioner(mat_ctx->pc,PETSC_FALSE);CHKERRQ(ierr);
1717   /* put values into standard global vector */
1718   ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_B,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1719   ierr = VecScatterEnd  (pcis->global_to_B,pcis->vec1_B,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1720   if (!pcbddc->switch_static) {
1721     /* compute values into the interior if solved for the partially subassembled Schur complement */
1722     ierr = MatMult(pcis->A_IB,pcis->vec1_B,pcis->vec1_D);CHKERRQ(ierr);
1723     ierr = VecAXPY(mat_ctx->temp_solution_D,-1.0,pcis->vec1_D);CHKERRQ(ierr);
1724     ierr = KSPSolve(pcbddc->ksp_D,mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr);
1725   }
1726   ierr = VecScatterBegin(pcis->global_to_D,pcis->vec1_D,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1727   ierr = VecScatterEnd  (pcis->global_to_D,pcis->vec1_D,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1728   /* final change of basis if needed
1729      Is also sums the dirichlet part removed during RHS assembling */
1730   ierr = PCPostSolve_BDDC(mat_ctx->pc,NULL,NULL,standard_sol);CHKERRQ(ierr);
1731   PetscFunctionReturn(0);
1732 }
1733 
1734 #undef __FUNCT__
1735 #define __FUNCT__ "PCBDDCMatFETIDPGetSolution"
1736 /*@
1737  PCBDDCMatFETIDPGetSolution - Compute the physical solution from the solution of the FETIDP linear system
1738 
1739    Collective
1740 
1741    Input Parameters:
1742 +  fetidp_mat        - the FETIDP matrix obtained by calling PCBDDCCreateFETIDPOperators
1743 .  fetidp_flux_sol - the solution of the FETIDP linear system
1744 
1745    Output Parameters:
1746 -  standard_sol      - the solution defined on the physical domain
1747 
1748    Level: developer
1749 
1750    Notes:
1751 
1752 .seealso: PCBDDC,PCBDDCCreateFETIDPOperators
1753 @*/
1754 PetscErrorCode PCBDDCMatFETIDPGetSolution(Mat fetidp_mat, Vec fetidp_flux_sol, Vec standard_sol)
1755 {
1756   FETIDPMat_ctx  mat_ctx;
1757   PetscErrorCode ierr;
1758 
1759   PetscFunctionBegin;
1760   ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr);
1761   ierr = PetscTryMethod(mat_ctx->pc,"PCBDDCMatFETIDPGetSolution_C",(Mat,Vec,Vec),(fetidp_mat,fetidp_flux_sol,standard_sol));CHKERRQ(ierr);
1762   PetscFunctionReturn(0);
1763 }
1764 /* -------------------------------------------------------------------------- */
1765 
1766 extern PetscErrorCode FETIDPMatMult(Mat,Vec,Vec);
1767 extern PetscErrorCode FETIDPMatMultTranspose(Mat,Vec,Vec);
1768 extern PetscErrorCode PCBDDCDestroyFETIDPMat(Mat);
1769 extern PetscErrorCode FETIDPPCApply(PC,Vec,Vec);
1770 extern PetscErrorCode FETIDPPCApplyTranspose(PC,Vec,Vec);
1771 extern PetscErrorCode PCBDDCDestroyFETIDPPC(PC);
1772 
1773 #undef __FUNCT__
1774 #define __FUNCT__ "PCBDDCCreateFETIDPOperators_BDDC"
1775 static PetscErrorCode PCBDDCCreateFETIDPOperators_BDDC(PC pc, Mat *fetidp_mat, PC *fetidp_pc)
1776 {
1777 
1778   FETIDPMat_ctx  fetidpmat_ctx;
1779   Mat            newmat;
1780   FETIDPPC_ctx   fetidppc_ctx;
1781   PC             newpc;
1782   MPI_Comm       comm;
1783   PetscErrorCode ierr;
1784 
1785   PetscFunctionBegin;
1786   ierr = PetscObjectGetComm((PetscObject)pc,&comm);CHKERRQ(ierr);
1787   /* FETIDP linear matrix */
1788   ierr = PCBDDCCreateFETIDPMatContext(pc,&fetidpmat_ctx);CHKERRQ(ierr);
1789   ierr = PCBDDCSetupFETIDPMatContext(fetidpmat_ctx);CHKERRQ(ierr);
1790   ierr = MatCreateShell(comm,PETSC_DECIDE,PETSC_DECIDE,fetidpmat_ctx->n_lambda,fetidpmat_ctx->n_lambda,fetidpmat_ctx,&newmat);CHKERRQ(ierr);
1791   ierr = MatShellSetOperation(newmat,MATOP_MULT,(void (*)(void))FETIDPMatMult);CHKERRQ(ierr);
1792   ierr = MatShellSetOperation(newmat,MATOP_MULT_TRANSPOSE,(void (*)(void))FETIDPMatMultTranspose);CHKERRQ(ierr);
1793   ierr = MatShellSetOperation(newmat,MATOP_DESTROY,(void (*)(void))PCBDDCDestroyFETIDPMat);CHKERRQ(ierr);
1794   ierr = MatSetUp(newmat);CHKERRQ(ierr);
1795   /* FETIDP preconditioner */
1796   ierr = PCBDDCCreateFETIDPPCContext(pc,&fetidppc_ctx);CHKERRQ(ierr);
1797   ierr = PCBDDCSetupFETIDPPCContext(newmat,fetidppc_ctx);CHKERRQ(ierr);
1798   ierr = PCCreate(comm,&newpc);CHKERRQ(ierr);
1799   ierr = PCSetType(newpc,PCSHELL);CHKERRQ(ierr);
1800   ierr = PCShellSetContext(newpc,fetidppc_ctx);CHKERRQ(ierr);
1801   ierr = PCShellSetApply(newpc,FETIDPPCApply);CHKERRQ(ierr);
1802   ierr = PCShellSetApplyTranspose(newpc,FETIDPPCApplyTranspose);CHKERRQ(ierr);
1803   ierr = PCShellSetDestroy(newpc,PCBDDCDestroyFETIDPPC);CHKERRQ(ierr);
1804   ierr = PCSetOperators(newpc,newmat,newmat);CHKERRQ(ierr);
1805   ierr = PCSetUp(newpc);CHKERRQ(ierr);
1806   /* return pointers for objects created */
1807   *fetidp_mat=newmat;
1808   *fetidp_pc=newpc;
1809   PetscFunctionReturn(0);
1810 }
1811 
1812 #undef __FUNCT__
1813 #define __FUNCT__ "PCBDDCCreateFETIDPOperators"
1814 /*@
1815  PCBDDCCreateFETIDPOperators - Create operators for FETIDP
1816 
1817    Collective
1818 
1819    Input Parameters:
1820 +  pc - the BDDC preconditioning context already setup
1821 
1822    Output Parameters:
1823 .  fetidp_mat - shell FETIDP matrix object
1824 .  fetidp_pc  - shell Dirichlet preconditioner for FETIDP matrix
1825 
1826    Options Database Keys:
1827 -    -fetidp_fullyredundant: use or not a fully redundant set of Lagrange multipliers
1828 
1829    Level: developer
1830 
1831    Notes:
1832      Currently the only operation provided for FETIDP matrix is MatMult
1833 
1834 .seealso: PCBDDC
1835 @*/
1836 PetscErrorCode PCBDDCCreateFETIDPOperators(PC pc, Mat *fetidp_mat, PC *fetidp_pc)
1837 {
1838   PetscErrorCode ierr;
1839 
1840   PetscFunctionBegin;
1841   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
1842   if (pc->setupcalled) {
1843     ierr = PetscUseMethod(pc,"PCBDDCCreateFETIDPOperators_C",(PC,Mat*,PC*),(pc,fetidp_mat,fetidp_pc));CHKERRQ(ierr);
1844   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"You must call PCSetup_BDDC() first \n");
1845   PetscFunctionReturn(0);
1846 }
1847 /* -------------------------------------------------------------------------- */
1848 /*MC
1849    PCBDDC - Balancing Domain Decomposition by Constraints.
1850 
1851    An implementation of the BDDC preconditioner based on
1852 
1853 .vb
1854    [1] C. R. Dohrmann. "An approximate BDDC preconditioner", Numerical Linear Algebra with Applications Volume 14, Issue 2, pages 149-168, March 2007
1855    [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
1856    [3] J. Mandel, B. Sousedik, C. R. Dohrmann. "Multispace and Multilevel BDDC", http://arxiv.org/abs/0712.3977
1857 .ve
1858 
1859    The matrix to be preconditioned (Pmat) must be of type MATIS.
1860 
1861    Currently works with MATIS matrices with local Neumann matrices of type MATSEQAIJ, MATSEQBAIJ or MATSEQSBAIJ, either with real or complex numbers.
1862 
1863    It also works with unsymmetric and indefinite problems.
1864 
1865    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.
1866 
1867    Approximate local solvers are automatically adapted for singular linear problems (see [1]) if the user has provided the nullspace using PCBDDCSetNullSpace
1868 
1869    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()
1870 
1871    Constraints can be customized by attaching a MatNullSpace object to the MATIS matrix via MatSetNearNullSpace().
1872 
1873    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.
1874 
1875    The PETSc implementation also supports multilevel BDDC [3]. Coarse grids are partitioned using MatPartitioning object.
1876 
1877    Options Database Keys:
1878 
1879 .    -pc_bddc_use_vertices <1> - use or not vertices in primal space
1880 .    -pc_bddc_use_edges <1> - use or not edges in primal space
1881 .    -pc_bddc_use_faces <0> - use or not faces in primal space
1882 .    -pc_bddc_use_change_of_basis <0> - use change of basis approach (on edges only)
1883 .    -pc_bddc_use_change_on_faces <0> - use change of basis approach on faces if change of basis has been requested
1884 .    -pc_bddc_switch_static <0> - switches from M_2 to M_3 operator (see reference article [1])
1885 .    -pc_bddc_levels <0> - maximum number of levels for multilevel
1886 .    -pc_bddc_coarsening_ratio - H/h ratio at the coarser level
1887 -    -pc_bddc_check_level <0> - set verbosity level of debugging output
1888 
1889    Options for Dirichlet, Neumann or coarse solver can be set with
1890 .vb
1891       -pc_bddc_dirichlet_
1892       -pc_bddc_neumann_
1893       -pc_bddc_coarse_
1894 .ve
1895    e.g -pc_bddc_dirichlet_ksp_type richardson -pc_bddc_dirichlet_pc_type gamg
1896 
1897    When using a multilevel approach, solvers' options at the N-th level can be specified as
1898 .vb
1899       -pc_bddc_dirichlet_lN_
1900       -pc_bddc_neumann_lN_
1901       -pc_bddc_coarse_lN_
1902 .ve
1903    Note that level number ranges from the finest 0 to the coarsest N.
1904 
1905    Level: intermediate
1906 
1907    Developer notes:
1908 
1909    New deluxe scaling operator will be available soon.
1910 
1911    Contributed by Stefano Zampini
1912 
1913 .seealso:  PCCreate(), PCSetType(), PCType (for list of available types), PC,  MATIS
1914 M*/
1915 
1916 #undef __FUNCT__
1917 #define __FUNCT__ "PCCreate_BDDC"
1918 PETSC_EXTERN PetscErrorCode PCCreate_BDDC(PC pc)
1919 {
1920   PetscErrorCode      ierr;
1921   PC_BDDC             *pcbddc;
1922 
1923   PetscFunctionBegin;
1924   /* Creates the private data structure for this preconditioner and attach it to the PC object. */
1925   ierr      = PetscNewLog(pc,&pcbddc);CHKERRQ(ierr);
1926   pc->data  = (void*)pcbddc;
1927 
1928   /* create PCIS data structure */
1929   ierr = PCISCreate(pc);CHKERRQ(ierr);
1930 
1931   /* BDDC customization */
1932   pcbddc->use_local_adj       = PETSC_TRUE;
1933   pcbddc->use_vertices        = PETSC_TRUE;
1934   pcbddc->use_edges           = PETSC_TRUE;
1935   pcbddc->use_faces           = PETSC_FALSE;
1936   pcbddc->use_change_of_basis = PETSC_FALSE;
1937   pcbddc->use_change_on_faces = PETSC_FALSE;
1938   pcbddc->switch_static       = PETSC_FALSE;
1939   pcbddc->use_nnsp_true       = PETSC_FALSE;
1940   pcbddc->use_qr_single       = PETSC_FALSE;
1941   pcbddc->dbg_flag            = 0;
1942   /* private */
1943   pcbddc->issym                      = PETSC_FALSE;
1944   pcbddc->local_primal_size          = 0;
1945   pcbddc->n_vertices                 = 0;
1946   pcbddc->n_actual_vertices          = 0;
1947   pcbddc->n_constraints              = 0;
1948   pcbddc->primal_indices_local_idxs  = 0;
1949   pcbddc->recompute_topography       = PETSC_FALSE;
1950   pcbddc->coarse_size                = -1;
1951   pcbddc->new_primal_space           = PETSC_FALSE;
1952   pcbddc->new_primal_space_local     = PETSC_FALSE;
1953   pcbddc->global_primal_indices      = 0;
1954   pcbddc->onearnullspace             = 0;
1955   pcbddc->onearnullvecs_state        = 0;
1956   pcbddc->user_primal_vertices       = 0;
1957   pcbddc->NullSpace                  = 0;
1958   pcbddc->temp_solution              = 0;
1959   pcbddc->original_rhs               = 0;
1960   pcbddc->local_mat                  = 0;
1961   pcbddc->ChangeOfBasisMatrix        = 0;
1962   pcbddc->user_ChangeOfBasisMatrix   = 0;
1963   pcbddc->new_global_mat             = 0;
1964   pcbddc->coarse_vec                 = 0;
1965   pcbddc->coarse_ksp                 = 0;
1966   pcbddc->coarse_phi_B               = 0;
1967   pcbddc->coarse_phi_D               = 0;
1968   pcbddc->coarse_psi_B               = 0;
1969   pcbddc->coarse_psi_D               = 0;
1970   pcbddc->vec1_P                     = 0;
1971   pcbddc->vec1_R                     = 0;
1972   pcbddc->vec2_R                     = 0;
1973   pcbddc->local_auxmat1              = 0;
1974   pcbddc->local_auxmat2              = 0;
1975   pcbddc->R_to_B                     = 0;
1976   pcbddc->R_to_D                     = 0;
1977   pcbddc->ksp_D                      = 0;
1978   pcbddc->ksp_R                      = 0;
1979   pcbddc->NeumannBoundaries          = 0;
1980   pcbddc->NeumannBoundariesLocal     = 0;
1981   pcbddc->DirichletBoundaries        = 0;
1982   pcbddc->DirichletBoundariesLocal   = 0;
1983   pcbddc->user_provided_isfordofs    = PETSC_FALSE;
1984   pcbddc->n_ISForDofs                = 0;
1985   pcbddc->n_ISForDofsLocal           = 0;
1986   pcbddc->ISForDofs                  = 0;
1987   pcbddc->ISForDofsLocal             = 0;
1988   pcbddc->ConstraintMatrix           = 0;
1989   pcbddc->use_exact_dirichlet_trick  = PETSC_TRUE;
1990   pcbddc->coarse_loc_to_glob         = 0;
1991   pcbddc->coarsening_ratio           = 8;
1992   pcbddc->current_level              = 0;
1993   pcbddc->max_levels                 = 0;
1994   pcbddc->use_coarse_estimates       = PETSC_FALSE;
1995   pcbddc->redistribute_coarse        = 0;
1996   pcbddc->coarse_subassembling       = 0;
1997   pcbddc->coarse_subassembling_init  = 0;
1998 
1999   /* create local graph structure */
2000   ierr = PCBDDCGraphCreate(&pcbddc->mat_graph);CHKERRQ(ierr);
2001 
2002   /* scaling */
2003   pcbddc->work_scaling          = 0;
2004   pcbddc->use_deluxe_scaling    = PETSC_FALSE;
2005   pcbddc->faster_deluxe         = PETSC_FALSE;
2006 
2007   /* create sub schurs structure */
2008   ierr = PCBDDCSubSchursCreate(&pcbddc->sub_schurs);CHKERRQ(ierr);
2009   pcbddc->sub_schurs_rebuild     = PETSC_FALSE;
2010   pcbddc->sub_schurs_layers      = -1;
2011   pcbddc->sub_schurs_use_useradj = PETSC_FALSE;
2012 
2013   pcbddc->computed_rowadj = PETSC_FALSE;
2014 
2015   /* adaptivity */
2016   pcbddc->adaptive_threshold      = -1.0;
2017   pcbddc->adaptive_invert_Stildas = PETSC_TRUE;
2018   pcbddc->adaptive_nmax           = 0;
2019   pcbddc->adaptive_nmin           = -1;
2020 
2021   /* function pointers */
2022   pc->ops->apply               = PCApply_BDDC;
2023   pc->ops->applytranspose      = PCApplyTranspose_BDDC;
2024   pc->ops->setup               = PCSetUp_BDDC;
2025   pc->ops->destroy             = PCDestroy_BDDC;
2026   pc->ops->setfromoptions      = PCSetFromOptions_BDDC;
2027   pc->ops->view                = 0;
2028   pc->ops->applyrichardson     = 0;
2029   pc->ops->applysymmetricleft  = 0;
2030   pc->ops->applysymmetricright = 0;
2031   pc->ops->presolve            = PCPreSolve_BDDC;
2032   pc->ops->postsolve           = PCPostSolve_BDDC;
2033 
2034   /* composing function */
2035   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetChangeOfBasisMat_C",PCBDDCSetChangeOfBasisMat_BDDC);CHKERRQ(ierr);
2036   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetPrimalVerticesLocalIS_C",PCBDDCSetPrimalVerticesLocalIS_BDDC);CHKERRQ(ierr);
2037   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetCoarseningRatio_C",PCBDDCSetCoarseningRatio_BDDC);CHKERRQ(ierr);
2038   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevel_C",PCBDDCSetLevel_BDDC);CHKERRQ(ierr);
2039   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetUseExactDirichlet_C",PCBDDCSetUseExactDirichlet_BDDC);CHKERRQ(ierr);
2040   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevels_C",PCBDDCSetLevels_BDDC);CHKERRQ(ierr);
2041   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNullSpace_C",PCBDDCSetNullSpace_BDDC);CHKERRQ(ierr);
2042   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundaries_C",PCBDDCSetDirichletBoundaries_BDDC);CHKERRQ(ierr);
2043   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundariesLocal_C",PCBDDCSetDirichletBoundariesLocal_BDDC);CHKERRQ(ierr);
2044   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundaries_C",PCBDDCSetNeumannBoundaries_BDDC);CHKERRQ(ierr);
2045   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundariesLocal_C",PCBDDCSetNeumannBoundariesLocal_BDDC);CHKERRQ(ierr);
2046   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundaries_C",PCBDDCGetDirichletBoundaries_BDDC);CHKERRQ(ierr);
2047   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundariesLocal_C",PCBDDCGetDirichletBoundariesLocal_BDDC);CHKERRQ(ierr);
2048   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundaries_C",PCBDDCGetNeumannBoundaries_BDDC);CHKERRQ(ierr);
2049   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundariesLocal_C",PCBDDCGetNeumannBoundariesLocal_BDDC);CHKERRQ(ierr);
2050   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplitting_C",PCBDDCSetDofsSplitting_BDDC);CHKERRQ(ierr);
2051   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplittingLocal_C",PCBDDCSetDofsSplittingLocal_BDDC);CHKERRQ(ierr);
2052   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLocalAdjacencyGraph_C",PCBDDCSetLocalAdjacencyGraph_BDDC);CHKERRQ(ierr);
2053   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCCreateFETIDPOperators_C",PCBDDCCreateFETIDPOperators_BDDC);CHKERRQ(ierr);
2054   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetRHS_C",PCBDDCMatFETIDPGetRHS_BDDC);CHKERRQ(ierr);
2055   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetSolution_C",PCBDDCMatFETIDPGetSolution_BDDC);CHKERRQ(ierr);
2056   PetscFunctionReturn(0);
2057 }
2058 
2059