xref: /petsc/src/ksp/pc/impls/bddc/bddc.c (revision 6dba178d53d088f8af27c39b86adaa0496f0d2e2)
1 /* TODOLIST
2 
3    Solvers
4    - Add support for cholesky for coarse solver (similar to local solvers)
5    - Propagate ksp prefixes for solvers to mat objects?
6 
7    User interface
8    - ** DM attached to pc?
9 
10    Debugging output
11    - * Better management of verbosity levels of debugging output
12 
13    Extra
14    - *** Is it possible to work with PCBDDCGraph on boundary indices only (less memory consumed)?
15    - BDDC with MG framework?
16 
17    FETIDP
18    - Move FETIDP code to its own classes
19 
20    MATIS related operations contained in BDDC code
21    - Provide general case for subassembling
22 
23 */
24 
25 #include <../src/ksp/pc/impls/bddc/bddc.h> /*I "petscpc.h" I*/  /* includes for fortran wrappers */
26 #include <../src/ksp/pc/impls/bddc/bddcprivate.h>
27 #include <petscblaslapack.h>
28 
29 /* temporarily declare it */
30 PetscErrorCode PCApply_BDDC(PC,Vec,Vec);
31 
32 /* -------------------------------------------------------------------------- */
33 #undef __FUNCT__
34 #define __FUNCT__ "PCSetFromOptions_BDDC"
35 PetscErrorCode PCSetFromOptions_BDDC(PetscOptions *PetscOptionsObject,PC pc)
36 {
37   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
38   PetscErrorCode ierr;
39 
40   PetscFunctionBegin;
41   ierr = PetscOptionsHead(PetscOptionsObject,"BDDC options");CHKERRQ(ierr);
42   /* Verbose debugging */
43   ierr = PetscOptionsInt("-pc_bddc_check_level","Verbose output for PCBDDC (intended for debug)","none",pcbddc->dbg_flag,&pcbddc->dbg_flag,NULL);CHKERRQ(ierr);
44   /* Primal space cumstomization */
45   ierr = PetscOptionsBool("-pc_bddc_use_local_mat_graph","Use or not adjacency graph of local mat for interface analysis","none",pcbddc->use_local_adj,&pcbddc->use_local_adj,NULL);CHKERRQ(ierr);
46   ierr = PetscOptionsBool("-pc_bddc_use_vertices","Use or not corner dofs in coarse space","none",pcbddc->use_vertices,&pcbddc->use_vertices,NULL);CHKERRQ(ierr);
47   ierr = PetscOptionsBool("-pc_bddc_use_edges","Use or not edge constraints in coarse space","none",pcbddc->use_edges,&pcbddc->use_edges,NULL);CHKERRQ(ierr);
48   ierr = PetscOptionsBool("-pc_bddc_use_faces","Use or not face constraints in coarse space","none",pcbddc->use_faces,&pcbddc->use_faces,NULL);CHKERRQ(ierr);
49   ierr = PetscOptionsBool("-pc_bddc_use_true_nnsp","Use near null space attached to the matrix without modifications","none",pcbddc->use_nnsp_true,&pcbddc->use_nnsp_true,NULL);CHKERRQ(ierr);
50   ierr = PetscOptionsBool("-pc_bddc_use_qr_single","Use QR factorization for single constraints on cc (QR is used when multiple constraints are present)","none",pcbddc->use_qr_single,&pcbddc->use_qr_single,NULL);CHKERRQ(ierr);
51   /* Change of basis */
52   ierr = PetscOptionsBool("-pc_bddc_use_change_of_basis","Use or not internal change of basis on local edge nodes","none",pcbddc->use_change_of_basis,&pcbddc->use_change_of_basis,NULL);CHKERRQ(ierr);
53   ierr = PetscOptionsBool("-pc_bddc_use_change_on_faces","Use or not internal change of basis on local face nodes","none",pcbddc->use_change_on_faces,&pcbddc->use_change_on_faces,NULL);CHKERRQ(ierr);
54   if (!pcbddc->use_change_of_basis) {
55     pcbddc->use_change_on_faces = PETSC_FALSE;
56   }
57   /* Switch between M_2 (default) and M_3 preconditioners (as defined by C. Dohrmann in the ref. article) */
58   ierr = PetscOptionsBool("-pc_bddc_switch_static","Switch on static condensation ops around the interface preconditioner","none",pcbddc->switch_static,&pcbddc->switch_static,NULL);CHKERRQ(ierr);
59   ierr = PetscOptionsInt("-pc_bddc_coarse_redistribute","Number of procs where to redistribute coarse problem","none",pcbddc->redistribute_coarse,&pcbddc->redistribute_coarse,NULL);CHKERRQ(ierr);
60   ierr = PetscOptionsInt("-pc_bddc_coarsening_ratio","Set coarsening ratio used in multilevel coarsening","none",pcbddc->coarsening_ratio,&pcbddc->coarsening_ratio,NULL);CHKERRQ(ierr);
61   ierr = PetscOptionsInt("-pc_bddc_levels","Set maximum number of levels for multilevel","none",pcbddc->max_levels,&pcbddc->max_levels,NULL);CHKERRQ(ierr);
62   ierr = PetscOptionsBool("-pc_bddc_use_coarse_estimates","Use estimated eigenvalues for coarse problem","none",pcbddc->use_coarse_estimates,&pcbddc->use_coarse_estimates,NULL);CHKERRQ(ierr);
63   ierr = PetscOptionsBool("-pc_bddc_use_deluxe_scaling","Use deluxe scaling for BDDC","none",pcbddc->use_deluxe_scaling,&pcbddc->use_deluxe_scaling,NULL);CHKERRQ(ierr);
64   ierr = PetscOptionsBool("-pc_bddc_schur_rebuild","Whether or not the interface graph for Schur principal minors has to be rebuilt (i.e. define the interface without any adjacency)","none",pcbddc->sub_schurs_rebuild,&pcbddc->sub_schurs_rebuild,NULL);CHKERRQ(ierr);
65   ierr = PetscOptionsInt("-pc_bddc_schur_layers","Number of dofs' layers for the computation of principal minors (i.e. -1 uses all dofs)","none",pcbddc->sub_schurs_layers,&pcbddc->sub_schurs_layers,NULL);CHKERRQ(ierr);
66   ierr = PetscOptionsBool("-pc_bddc_schur_use_useradj","Whether or not the CSR graph specified by the user should be used for computing successive layers (default is to use adj of local mat)","none",pcbddc->sub_schurs_use_useradj,&pcbddc->sub_schurs_use_useradj,NULL);CHKERRQ(ierr);
67   ierr = PetscOptionsBool("-pc_bddc_schur_exact","Whether or not to use the exact Schur complement instead of the reduced one (which excludes size 1 cc)","none",pcbddc->sub_schurs_exact_schur,&pcbddc->sub_schurs_exact_schur,NULL);CHKERRQ(ierr);
68   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);
69   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);
70   ierr = PetscOptionsInt("-pc_bddc_adaptive_nmin","Minimum number of constraints per connected components","none",pcbddc->adaptive_nmin,&pcbddc->adaptive_nmin,NULL);CHKERRQ(ierr);
71   ierr = PetscOptionsInt("-pc_bddc_adaptive_nmax","Maximum number of constraints per connected components","none",pcbddc->adaptive_nmax,&pcbddc->adaptive_nmax,NULL);CHKERRQ(ierr);
72   ierr = PetscOptionsBool("-pc_bddc_symmetric","Symmetric computation of primal basis functions","none",pcbddc->symmetric_primal,&pcbddc->symmetric_primal,NULL);CHKERRQ(ierr);
73   ierr = PetscOptionsInt("-pc_bddc_coarse_adj","Number of processors where to map the coarse adjacency list","none",pcbddc->coarse_adj_red,&pcbddc->coarse_adj_red,NULL);CHKERRQ(ierr);
74   ierr = PetscOptionsBool("-pc_bddc_benign_trick","Apply the benign subspace trick to a class of saddle point problems","none",pcbddc->benign_saddle_point,&pcbddc->benign_saddle_point,NULL);CHKERRQ(ierr);
75   ierr = PetscOptionsBool("-pc_bddc_detect_disconnected","Detects disconnected subdomains","none",pcbddc->detect_disconnected,&pcbddc->detect_disconnected,NULL);CHKERRQ(ierr);
76   ierr = PetscOptionsTail();CHKERRQ(ierr);
77   PetscFunctionReturn(0);
78 }
79 /* -------------------------------------------------------------------------- */
80 #undef __FUNCT__
81 #define __FUNCT__ "PCBDDCSetChangeOfBasisMat_BDDC"
82 static PetscErrorCode PCBDDCSetChangeOfBasisMat_BDDC(PC pc, Mat change)
83 {
84   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
85   PetscErrorCode ierr;
86 
87   PetscFunctionBegin;
88   ierr = MatDestroy(&pcbddc->user_ChangeOfBasisMatrix);CHKERRQ(ierr);
89   ierr = PetscObjectReference((PetscObject)change);CHKERRQ(ierr);
90   pcbddc->user_ChangeOfBasisMatrix = change;
91   PetscFunctionReturn(0);
92 }
93 #undef __FUNCT__
94 #define __FUNCT__ "PCBDDCSetChangeOfBasisMat"
95 /*@
96  PCBDDCSetChangeOfBasisMat - Set user defined change of basis for dofs
97 
98    Collective on PC
99 
100    Input Parameters:
101 +  pc - the preconditioning context
102 -  change - the change of basis matrix
103 
104    Level: intermediate
105 
106    Notes:
107 
108 .seealso: PCBDDC
109 @*/
110 PetscErrorCode PCBDDCSetChangeOfBasisMat(PC pc, Mat change)
111 {
112   PetscErrorCode ierr;
113 
114   PetscFunctionBegin;
115   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
116   PetscValidHeaderSpecific(change,MAT_CLASSID,2);
117   PetscCheckSameComm(pc,1,change,2);
118   if (pc->mat) {
119     PetscInt rows_c,cols_c,rows,cols;
120     ierr = MatGetSize(pc->mat,&rows,&cols);CHKERRQ(ierr);
121     ierr = MatGetSize(change,&rows_c,&cols_c);CHKERRQ(ierr);
122     if (rows_c != rows) {
123       SETERRQ2(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Invalid number of rows for change of basis matrix! %d != %d",rows_c,rows);
124     }
125     if (cols_c != cols) {
126       SETERRQ2(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Invalid number of columns for change of basis matrix! %d != %d",cols_c,cols);
127     }
128     ierr = MatGetLocalSize(pc->mat,&rows,&cols);CHKERRQ(ierr);
129     ierr = MatGetLocalSize(change,&rows_c,&cols_c);CHKERRQ(ierr);
130     if (rows_c != rows) {
131       SETERRQ2(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Invalid number of local rows for change of basis matrix! %d != %d",rows_c,rows);
132     }
133     if (cols_c != cols) {
134       SETERRQ2(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Invalid number of local columns for change of basis matrix! %d != %d",cols_c,cols);
135     }
136   }
137   ierr = PetscTryMethod(pc,"PCBDDCSetChangeOfBasisMat_C",(PC,Mat),(pc,change));CHKERRQ(ierr);
138   PetscFunctionReturn(0);
139 }
140 /* -------------------------------------------------------------------------- */
141 #undef __FUNCT__
142 #define __FUNCT__ "PCBDDCSetPrimalVerticesIS_BDDC"
143 static PetscErrorCode PCBDDCSetPrimalVerticesIS_BDDC(PC pc, IS PrimalVertices)
144 {
145   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
146   PetscErrorCode ierr;
147 
148   PetscFunctionBegin;
149   ierr = ISDestroy(&pcbddc->user_primal_vertices);CHKERRQ(ierr);
150   ierr = ISDestroy(&pcbddc->user_primal_vertices_local);CHKERRQ(ierr);
151   ierr = PetscObjectReference((PetscObject)PrimalVertices);CHKERRQ(ierr);
152   pcbddc->user_primal_vertices = PrimalVertices;
153   pcbddc->recompute_topography = PETSC_TRUE;
154   PetscFunctionReturn(0);
155 }
156 #undef __FUNCT__
157 #define __FUNCT__ "PCBDDCSetPrimalVerticesIS"
158 /*@
159  PCBDDCSetPrimalVerticesIS - Set additional user defined primal vertices in PCBDDC
160 
161    Collective
162 
163    Input Parameters:
164 +  pc - the preconditioning context
165 -  PrimalVertices - index set of primal vertices in global numbering (can be empty)
166 
167    Level: intermediate
168 
169    Notes:
170      Any process can list any global node
171 
172 .seealso: PCBDDC
173 @*/
174 PetscErrorCode PCBDDCSetPrimalVerticesIS(PC pc, IS PrimalVertices)
175 {
176   PetscErrorCode ierr;
177 
178   PetscFunctionBegin;
179   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
180   PetscValidHeaderSpecific(PrimalVertices,IS_CLASSID,2);
181   PetscCheckSameComm(pc,1,PrimalVertices,2);
182   ierr = PetscTryMethod(pc,"PCBDDCSetPrimalVerticesIS_C",(PC,IS),(pc,PrimalVertices));CHKERRQ(ierr);
183   PetscFunctionReturn(0);
184 }
185 /* -------------------------------------------------------------------------- */
186 #undef __FUNCT__
187 #define __FUNCT__ "PCBDDCSetPrimalVerticesLocalIS_BDDC"
188 static PetscErrorCode PCBDDCSetPrimalVerticesLocalIS_BDDC(PC pc, IS PrimalVertices)
189 {
190   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
191   PetscErrorCode ierr;
192 
193   PetscFunctionBegin;
194   ierr = ISDestroy(&pcbddc->user_primal_vertices);CHKERRQ(ierr);
195   ierr = ISDestroy(&pcbddc->user_primal_vertices_local);CHKERRQ(ierr);
196   ierr = PetscObjectReference((PetscObject)PrimalVertices);CHKERRQ(ierr);
197   pcbddc->user_primal_vertices_local = PrimalVertices;
198   pcbddc->recompute_topography = PETSC_TRUE;
199   PetscFunctionReturn(0);
200 }
201 #undef __FUNCT__
202 #define __FUNCT__ "PCBDDCSetPrimalVerticesLocalIS"
203 /*@
204  PCBDDCSetPrimalVerticesLocalIS - Set additional user defined primal vertices in PCBDDC
205 
206    Collective
207 
208    Input Parameters:
209 +  pc - the preconditioning context
210 -  PrimalVertices - index set of primal vertices in local numbering (can be empty)
211 
212    Level: intermediate
213 
214    Notes:
215 
216 .seealso: PCBDDC
217 @*/
218 PetscErrorCode PCBDDCSetPrimalVerticesLocalIS(PC pc, IS PrimalVertices)
219 {
220   PetscErrorCode ierr;
221 
222   PetscFunctionBegin;
223   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
224   PetscValidHeaderSpecific(PrimalVertices,IS_CLASSID,2);
225   PetscCheckSameComm(pc,1,PrimalVertices,2);
226   ierr = PetscTryMethod(pc,"PCBDDCSetPrimalVerticesLocalIS_C",(PC,IS),(pc,PrimalVertices));CHKERRQ(ierr);
227   PetscFunctionReturn(0);
228 }
229 /* -------------------------------------------------------------------------- */
230 #undef __FUNCT__
231 #define __FUNCT__ "PCBDDCSetCoarseningRatio_BDDC"
232 static PetscErrorCode PCBDDCSetCoarseningRatio_BDDC(PC pc,PetscInt k)
233 {
234   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
235 
236   PetscFunctionBegin;
237   pcbddc->coarsening_ratio = k;
238   PetscFunctionReturn(0);
239 }
240 
241 #undef __FUNCT__
242 #define __FUNCT__ "PCBDDCSetCoarseningRatio"
243 /*@
244  PCBDDCSetCoarseningRatio - Set coarsening ratio used in multilevel
245 
246    Logically collective on PC
247 
248    Input Parameters:
249 +  pc - the preconditioning context
250 -  k - coarsening ratio (H/h at the coarser level)
251 
252    Options Database Keys:
253 .    -pc_bddc_coarsening_ratio
254 
255    Level: intermediate
256 
257    Notes:
258      Approximatively k subdomains at the finer level will be aggregated into a single subdomain at the coarser level
259 
260 .seealso: PCBDDC, PCBDDCSetLevels()
261 @*/
262 PetscErrorCode PCBDDCSetCoarseningRatio(PC pc,PetscInt k)
263 {
264   PetscErrorCode ierr;
265 
266   PetscFunctionBegin;
267   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
268   PetscValidLogicalCollectiveInt(pc,k,2);
269   ierr = PetscTryMethod(pc,"PCBDDCSetCoarseningRatio_C",(PC,PetscInt),(pc,k));CHKERRQ(ierr);
270   PetscFunctionReturn(0);
271 }
272 
273 /* The following functions (PCBDDCSetUseExactDirichlet PCBDDCSetLevel) are not public */
274 #undef __FUNCT__
275 #define __FUNCT__ "PCBDDCSetUseExactDirichlet_BDDC"
276 static PetscErrorCode PCBDDCSetUseExactDirichlet_BDDC(PC pc,PetscBool flg)
277 {
278   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
279 
280   PetscFunctionBegin;
281   pcbddc->use_exact_dirichlet_trick = flg;
282   PetscFunctionReturn(0);
283 }
284 
285 #undef __FUNCT__
286 #define __FUNCT__ "PCBDDCSetUseExactDirichlet"
287 PetscErrorCode PCBDDCSetUseExactDirichlet(PC pc,PetscBool flg)
288 {
289   PetscErrorCode ierr;
290 
291   PetscFunctionBegin;
292   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
293   PetscValidLogicalCollectiveBool(pc,flg,2);
294   ierr = PetscTryMethod(pc,"PCBDDCSetUseExactDirichlet_C",(PC,PetscBool),(pc,flg));CHKERRQ(ierr);
295   PetscFunctionReturn(0);
296 }
297 
298 #undef __FUNCT__
299 #define __FUNCT__ "PCBDDCSetLevel_BDDC"
300 static PetscErrorCode PCBDDCSetLevel_BDDC(PC pc,PetscInt level)
301 {
302   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
303 
304   PetscFunctionBegin;
305   pcbddc->current_level = level;
306   PetscFunctionReturn(0);
307 }
308 
309 #undef __FUNCT__
310 #define __FUNCT__ "PCBDDCSetLevel"
311 PetscErrorCode PCBDDCSetLevel(PC pc,PetscInt level)
312 {
313   PetscErrorCode ierr;
314 
315   PetscFunctionBegin;
316   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
317   PetscValidLogicalCollectiveInt(pc,level,2);
318   ierr = PetscTryMethod(pc,"PCBDDCSetLevel_C",(PC,PetscInt),(pc,level));CHKERRQ(ierr);
319   PetscFunctionReturn(0);
320 }
321 
322 #undef __FUNCT__
323 #define __FUNCT__ "PCBDDCSetLevels_BDDC"
324 static PetscErrorCode PCBDDCSetLevels_BDDC(PC pc,PetscInt levels)
325 {
326   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
327 
328   PetscFunctionBegin;
329   pcbddc->max_levels = levels;
330   PetscFunctionReturn(0);
331 }
332 
333 #undef __FUNCT__
334 #define __FUNCT__ "PCBDDCSetLevels"
335 /*@
336  PCBDDCSetLevels - Sets the maximum number of levels for multilevel
337 
338    Logically collective on PC
339 
340    Input Parameters:
341 +  pc - the preconditioning context
342 -  levels - the maximum number of levels (max 9)
343 
344    Options Database Keys:
345 .    -pc_bddc_levels
346 
347    Level: intermediate
348 
349    Notes:
350      Default value is 0, i.e. traditional one-level BDDC
351 
352 .seealso: PCBDDC, PCBDDCSetCoarseningRatio()
353 @*/
354 PetscErrorCode PCBDDCSetLevels(PC pc,PetscInt levels)
355 {
356   PetscErrorCode ierr;
357 
358   PetscFunctionBegin;
359   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
360   PetscValidLogicalCollectiveInt(pc,levels,2);
361   if (levels > 99) SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Maximum number of levels for bddc is 99\n");
362   ierr = PetscTryMethod(pc,"PCBDDCSetLevels_C",(PC,PetscInt),(pc,levels));CHKERRQ(ierr);
363   PetscFunctionReturn(0);
364 }
365 /* -------------------------------------------------------------------------- */
366 
367 #undef __FUNCT__
368 #define __FUNCT__ "PCBDDCSetNullSpace_BDDC"
369 static PetscErrorCode PCBDDCSetNullSpace_BDDC(PC pc,MatNullSpace NullSpace)
370 {
371   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
372   PetscErrorCode ierr;
373 
374   PetscFunctionBegin;
375   ierr = PetscObjectReference((PetscObject)NullSpace);CHKERRQ(ierr);
376   ierr = MatNullSpaceDestroy(&pcbddc->NullSpace);CHKERRQ(ierr);
377   pcbddc->NullSpace = NullSpace;
378   PetscFunctionReturn(0);
379 }
380 
381 #undef __FUNCT__
382 #define __FUNCT__ "PCBDDCSetNullSpace"
383 /*@
384  PCBDDCSetNullSpace - Set nullspace for BDDC operator
385 
386    Logically collective on PC and MatNullSpace
387 
388    Input Parameters:
389 +  pc - the preconditioning context
390 -  NullSpace - Null space of the linear operator to be preconditioned (Pmat)
391 
392    Level: intermediate
393 
394    Notes:
395 
396 .seealso: PCBDDC
397 @*/
398 PetscErrorCode PCBDDCSetNullSpace(PC pc,MatNullSpace NullSpace)
399 {
400   PetscErrorCode ierr;
401 
402   PetscFunctionBegin;
403   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
404   PetscValidHeaderSpecific(NullSpace,MAT_NULLSPACE_CLASSID,2);
405   PetscCheckSameComm(pc,1,NullSpace,2);
406   ierr = PetscTryMethod(pc,"PCBDDCSetNullSpace_C",(PC,MatNullSpace),(pc,NullSpace));CHKERRQ(ierr);
407   PetscFunctionReturn(0);
408 }
409 /* -------------------------------------------------------------------------- */
410 
411 #undef __FUNCT__
412 #define __FUNCT__ "PCBDDCSetDirichletBoundaries_BDDC"
413 static PetscErrorCode PCBDDCSetDirichletBoundaries_BDDC(PC pc,IS DirichletBoundaries)
414 {
415   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
416   PetscErrorCode ierr;
417 
418   PetscFunctionBegin;
419   /* last user setting takes precendence -> destroy any other customization */
420   ierr = ISDestroy(&pcbddc->DirichletBoundariesLocal);CHKERRQ(ierr);
421   ierr = ISDestroy(&pcbddc->DirichletBoundaries);CHKERRQ(ierr);
422   ierr = PetscObjectReference((PetscObject)DirichletBoundaries);CHKERRQ(ierr);
423   pcbddc->DirichletBoundaries = DirichletBoundaries;
424   pcbddc->recompute_topography = PETSC_TRUE;
425   PetscFunctionReturn(0);
426 }
427 
428 #undef __FUNCT__
429 #define __FUNCT__ "PCBDDCSetDirichletBoundaries"
430 /*@
431  PCBDDCSetDirichletBoundaries - Set IS defining Dirichlet boundaries for the global problem.
432 
433    Collective
434 
435    Input Parameters:
436 +  pc - the preconditioning context
437 -  DirichletBoundaries - parallel IS defining the Dirichlet boundaries
438 
439    Level: intermediate
440 
441    Notes:
442      Provide the information if you used MatZeroRows/Columns routines. Any process can list any global node
443 
444 .seealso: PCBDDC, PCBDDCSetDirichletBoundariesLocal(), MatZeroRows(), MatZeroRowsColumns()
445 @*/
446 PetscErrorCode PCBDDCSetDirichletBoundaries(PC pc,IS DirichletBoundaries)
447 {
448   PetscErrorCode ierr;
449 
450   PetscFunctionBegin;
451   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
452   PetscValidHeaderSpecific(DirichletBoundaries,IS_CLASSID,2);
453   PetscCheckSameComm(pc,1,DirichletBoundaries,2);
454   ierr = PetscTryMethod(pc,"PCBDDCSetDirichletBoundaries_C",(PC,IS),(pc,DirichletBoundaries));CHKERRQ(ierr);
455   PetscFunctionReturn(0);
456 }
457 /* -------------------------------------------------------------------------- */
458 
459 #undef __FUNCT__
460 #define __FUNCT__ "PCBDDCSetDirichletBoundariesLocal_BDDC"
461 static PetscErrorCode PCBDDCSetDirichletBoundariesLocal_BDDC(PC pc,IS DirichletBoundaries)
462 {
463   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
464   PetscErrorCode ierr;
465 
466   PetscFunctionBegin;
467   /* last user setting takes precendence -> destroy any other customization */
468   ierr = ISDestroy(&pcbddc->DirichletBoundariesLocal);CHKERRQ(ierr);
469   ierr = ISDestroy(&pcbddc->DirichletBoundaries);CHKERRQ(ierr);
470   ierr = PetscObjectReference((PetscObject)DirichletBoundaries);CHKERRQ(ierr);
471   pcbddc->DirichletBoundariesLocal = DirichletBoundaries;
472   pcbddc->recompute_topography = PETSC_TRUE;
473   PetscFunctionReturn(0);
474 }
475 
476 #undef __FUNCT__
477 #define __FUNCT__ "PCBDDCSetDirichletBoundariesLocal"
478 /*@
479  PCBDDCSetDirichletBoundariesLocal - Set IS defining Dirichlet boundaries for the global problem in local ordering.
480 
481    Collective
482 
483    Input Parameters:
484 +  pc - the preconditioning context
485 -  DirichletBoundaries - parallel IS defining the Dirichlet boundaries (in local ordering)
486 
487    Level: intermediate
488 
489    Notes:
490 
491 .seealso: PCBDDC, PCBDDCSetDirichletBoundaries(), MatZeroRows(), MatZeroRowsColumns()
492 @*/
493 PetscErrorCode PCBDDCSetDirichletBoundariesLocal(PC pc,IS DirichletBoundaries)
494 {
495   PetscErrorCode ierr;
496 
497   PetscFunctionBegin;
498   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
499   PetscValidHeaderSpecific(DirichletBoundaries,IS_CLASSID,2);
500   PetscCheckSameComm(pc,1,DirichletBoundaries,2);
501   ierr = PetscTryMethod(pc,"PCBDDCSetDirichletBoundariesLocal_C",(PC,IS),(pc,DirichletBoundaries));CHKERRQ(ierr);
502   PetscFunctionReturn(0);
503 }
504 /* -------------------------------------------------------------------------- */
505 
506 #undef __FUNCT__
507 #define __FUNCT__ "PCBDDCSetNeumannBoundaries_BDDC"
508 static PetscErrorCode PCBDDCSetNeumannBoundaries_BDDC(PC pc,IS NeumannBoundaries)
509 {
510   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
511   PetscErrorCode ierr;
512 
513   PetscFunctionBegin;
514   /* last user setting takes precendence -> destroy any other customization */
515   ierr = ISDestroy(&pcbddc->NeumannBoundariesLocal);CHKERRQ(ierr);
516   ierr = ISDestroy(&pcbddc->NeumannBoundaries);CHKERRQ(ierr);
517   ierr = PetscObjectReference((PetscObject)NeumannBoundaries);CHKERRQ(ierr);
518   pcbddc->NeumannBoundaries = NeumannBoundaries;
519   pcbddc->recompute_topography = PETSC_TRUE;
520   PetscFunctionReturn(0);
521 }
522 
523 #undef __FUNCT__
524 #define __FUNCT__ "PCBDDCSetNeumannBoundaries"
525 /*@
526  PCBDDCSetNeumannBoundaries - Set IS defining Neumann boundaries for the global problem.
527 
528    Collective
529 
530    Input Parameters:
531 +  pc - the preconditioning context
532 -  NeumannBoundaries - parallel IS defining the Neumann boundaries
533 
534    Level: intermediate
535 
536    Notes:
537      Any process can list any global node
538 
539 .seealso: PCBDDC, PCBDDCSetNeumannBoundariesLocal()
540 @*/
541 PetscErrorCode PCBDDCSetNeumannBoundaries(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,"PCBDDCSetNeumannBoundaries_C",(PC,IS),(pc,NeumannBoundaries));CHKERRQ(ierr);
550   PetscFunctionReturn(0);
551 }
552 /* -------------------------------------------------------------------------- */
553 
554 #undef __FUNCT__
555 #define __FUNCT__ "PCBDDCSetNeumannBoundariesLocal_BDDC"
556 static PetscErrorCode PCBDDCSetNeumannBoundariesLocal_BDDC(PC pc,IS NeumannBoundaries)
557 {
558   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
559   PetscErrorCode ierr;
560 
561   PetscFunctionBegin;
562   /* last user setting takes precendence -> destroy any other customization */
563   ierr = ISDestroy(&pcbddc->NeumannBoundariesLocal);CHKERRQ(ierr);
564   ierr = ISDestroy(&pcbddc->NeumannBoundaries);CHKERRQ(ierr);
565   ierr = PetscObjectReference((PetscObject)NeumannBoundaries);CHKERRQ(ierr);
566   pcbddc->NeumannBoundariesLocal = NeumannBoundaries;
567   pcbddc->recompute_topography = PETSC_TRUE;
568   PetscFunctionReturn(0);
569 }
570 
571 #undef __FUNCT__
572 #define __FUNCT__ "PCBDDCSetNeumannBoundariesLocal"
573 /*@
574  PCBDDCSetNeumannBoundariesLocal - Set IS defining Neumann boundaries for the global problem in local ordering.
575 
576    Collective
577 
578    Input Parameters:
579 +  pc - the preconditioning context
580 -  NeumannBoundaries - parallel IS defining the subdomain part of Neumann boundaries (in local ordering)
581 
582    Level: intermediate
583 
584    Notes:
585 
586 .seealso: PCBDDC, PCBDDCSetNeumannBoundaries()
587 @*/
588 PetscErrorCode PCBDDCSetNeumannBoundariesLocal(PC pc,IS NeumannBoundaries)
589 {
590   PetscErrorCode ierr;
591 
592   PetscFunctionBegin;
593   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
594   PetscValidHeaderSpecific(NeumannBoundaries,IS_CLASSID,2);
595   PetscCheckSameComm(pc,1,NeumannBoundaries,2);
596   ierr = PetscTryMethod(pc,"PCBDDCSetNeumannBoundariesLocal_C",(PC,IS),(pc,NeumannBoundaries));CHKERRQ(ierr);
597   PetscFunctionReturn(0);
598 }
599 /* -------------------------------------------------------------------------- */
600 
601 #undef __FUNCT__
602 #define __FUNCT__ "PCBDDCGetDirichletBoundaries_BDDC"
603 static PetscErrorCode PCBDDCGetDirichletBoundaries_BDDC(PC pc,IS *DirichletBoundaries)
604 {
605   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
606 
607   PetscFunctionBegin;
608   *DirichletBoundaries = pcbddc->DirichletBoundaries;
609   PetscFunctionReturn(0);
610 }
611 
612 #undef __FUNCT__
613 #define __FUNCT__ "PCBDDCGetDirichletBoundaries"
614 /*@
615  PCBDDCGetDirichletBoundaries - Get parallel IS for Dirichlet boundaries
616 
617    Collective
618 
619    Input Parameters:
620 .  pc - the preconditioning context
621 
622    Output Parameters:
623 .  DirichletBoundaries - index set defining the Dirichlet boundaries
624 
625    Level: intermediate
626 
627    Notes:
628      The IS returned (if any) is the same passed in earlier by the user with PCBDDCSetDirichletBoundaries
629 
630 .seealso: PCBDDC
631 @*/
632 PetscErrorCode PCBDDCGetDirichletBoundaries(PC pc,IS *DirichletBoundaries)
633 {
634   PetscErrorCode ierr;
635 
636   PetscFunctionBegin;
637   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
638   ierr = PetscUseMethod(pc,"PCBDDCGetDirichletBoundaries_C",(PC,IS*),(pc,DirichletBoundaries));CHKERRQ(ierr);
639   PetscFunctionReturn(0);
640 }
641 /* -------------------------------------------------------------------------- */
642 
643 #undef __FUNCT__
644 #define __FUNCT__ "PCBDDCGetDirichletBoundariesLocal_BDDC"
645 static PetscErrorCode PCBDDCGetDirichletBoundariesLocal_BDDC(PC pc,IS *DirichletBoundaries)
646 {
647   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
648 
649   PetscFunctionBegin;
650   *DirichletBoundaries = pcbddc->DirichletBoundariesLocal;
651   PetscFunctionReturn(0);
652 }
653 
654 #undef __FUNCT__
655 #define __FUNCT__ "PCBDDCGetDirichletBoundariesLocal"
656 /*@
657  PCBDDCGetDirichletBoundariesLocal - Get parallel IS for Dirichlet boundaries (in local ordering)
658 
659    Collective
660 
661    Input Parameters:
662 .  pc - the preconditioning context
663 
664    Output Parameters:
665 .  DirichletBoundaries - index set defining the subdomain part of Dirichlet boundaries
666 
667    Level: intermediate
668 
669    Notes:
670      The IS returned could be the same passed in earlier by the user (if provided with PCBDDCSetDirichletBoundariesLocal) or a global-to-local map of the global IS (if provided with PCBDDCSetDirichletBoundaries).
671           In the latter case, the IS will be available after PCSetUp.
672 
673 .seealso: PCBDDC
674 @*/
675 PetscErrorCode PCBDDCGetDirichletBoundariesLocal(PC pc,IS *DirichletBoundaries)
676 {
677   PetscErrorCode ierr;
678 
679   PetscFunctionBegin;
680   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
681   ierr = PetscUseMethod(pc,"PCBDDCGetDirichletBoundariesLocal_C",(PC,IS*),(pc,DirichletBoundaries));CHKERRQ(ierr);
682   PetscFunctionReturn(0);
683 }
684 /* -------------------------------------------------------------------------- */
685 
686 #undef __FUNCT__
687 #define __FUNCT__ "PCBDDCGetNeumannBoundaries_BDDC"
688 static PetscErrorCode PCBDDCGetNeumannBoundaries_BDDC(PC pc,IS *NeumannBoundaries)
689 {
690   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
691 
692   PetscFunctionBegin;
693   *NeumannBoundaries = pcbddc->NeumannBoundaries;
694   PetscFunctionReturn(0);
695 }
696 
697 #undef __FUNCT__
698 #define __FUNCT__ "PCBDDCGetNeumannBoundaries"
699 /*@
700  PCBDDCGetNeumannBoundaries - Get parallel IS for Neumann boundaries
701 
702    Collective
703 
704    Input Parameters:
705 .  pc - the preconditioning context
706 
707    Output Parameters:
708 .  NeumannBoundaries - index set defining the Neumann boundaries
709 
710    Level: intermediate
711 
712    Notes:
713      The IS returned (if any) is the same passed in earlier by the user with PCBDDCSetNeumannBoundaries
714 
715 .seealso: PCBDDC
716 @*/
717 PetscErrorCode PCBDDCGetNeumannBoundaries(PC pc,IS *NeumannBoundaries)
718 {
719   PetscErrorCode ierr;
720 
721   PetscFunctionBegin;
722   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
723   ierr = PetscUseMethod(pc,"PCBDDCGetNeumannBoundaries_C",(PC,IS*),(pc,NeumannBoundaries));CHKERRQ(ierr);
724   PetscFunctionReturn(0);
725 }
726 /* -------------------------------------------------------------------------- */
727 
728 #undef __FUNCT__
729 #define __FUNCT__ "PCBDDCGetNeumannBoundariesLocal_BDDC"
730 static PetscErrorCode PCBDDCGetNeumannBoundariesLocal_BDDC(PC pc,IS *NeumannBoundaries)
731 {
732   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
733 
734   PetscFunctionBegin;
735   *NeumannBoundaries = pcbddc->NeumannBoundariesLocal;
736   PetscFunctionReturn(0);
737 }
738 
739 #undef __FUNCT__
740 #define __FUNCT__ "PCBDDCGetNeumannBoundariesLocal"
741 /*@
742  PCBDDCGetNeumannBoundariesLocal - Get parallel IS for Neumann boundaries (in local ordering)
743 
744    Collective
745 
746    Input Parameters:
747 .  pc - the preconditioning context
748 
749    Output Parameters:
750 .  NeumannBoundaries - index set defining the subdomain part of Neumann boundaries
751 
752    Level: intermediate
753 
754    Notes:
755      The IS returned could be the same passed in earlier by the user (if provided with PCBDDCSetNeumannBoundariesLocal) or a global-to-local map of the global IS (if provided with PCBDDCSetNeumannBoundaries).
756           In the latter case, the IS will be available after PCSetUp.
757 
758 .seealso: PCBDDC
759 @*/
760 PetscErrorCode PCBDDCGetNeumannBoundariesLocal(PC pc,IS *NeumannBoundaries)
761 {
762   PetscErrorCode ierr;
763 
764   PetscFunctionBegin;
765   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
766   ierr = PetscUseMethod(pc,"PCBDDCGetNeumannBoundariesLocal_C",(PC,IS*),(pc,NeumannBoundaries));CHKERRQ(ierr);
767   PetscFunctionReturn(0);
768 }
769 /* -------------------------------------------------------------------------- */
770 
771 #undef __FUNCT__
772 #define __FUNCT__ "PCBDDCSetLocalAdjacencyGraph_BDDC"
773 static PetscErrorCode PCBDDCSetLocalAdjacencyGraph_BDDC(PC pc, PetscInt nvtxs,const PetscInt xadj[],const PetscInt adjncy[], PetscCopyMode copymode)
774 {
775   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
776   PCBDDCGraph    mat_graph = pcbddc->mat_graph;
777   PetscErrorCode ierr;
778 
779   PetscFunctionBegin;
780   /* free old CSR */
781   ierr = PCBDDCGraphResetCSR(mat_graph);CHKERRQ(ierr);
782   /* TODO: PCBDDCGraphSetAdjacency */
783   /* get CSR into graph structure */
784   if (copymode == PETSC_COPY_VALUES) {
785     ierr = PetscMalloc1(nvtxs+1,&mat_graph->xadj);CHKERRQ(ierr);
786     ierr = PetscMalloc1(xadj[nvtxs],&mat_graph->adjncy);CHKERRQ(ierr);
787     ierr = PetscMemcpy(mat_graph->xadj,xadj,(nvtxs+1)*sizeof(PetscInt));CHKERRQ(ierr);
788     ierr = PetscMemcpy(mat_graph->adjncy,adjncy,xadj[nvtxs]*sizeof(PetscInt));CHKERRQ(ierr);
789   } else if (copymode == PETSC_OWN_POINTER) {
790     mat_graph->xadj = (PetscInt*)xadj;
791     mat_graph->adjncy = (PetscInt*)adjncy;
792   }
793   mat_graph->nvtxs_csr = nvtxs;
794   PetscFunctionReturn(0);
795 }
796 
797 #undef __FUNCT__
798 #define __FUNCT__ "PCBDDCSetLocalAdjacencyGraph"
799 /*@
800  PCBDDCSetLocalAdjacencyGraph - Set adjacency structure (CSR graph) of the local matrix
801 
802    Not collective
803 
804    Input Parameters:
805 +  pc - the preconditioning context
806 .  nvtxs - number of local vertices of the graph (i.e., the size of the local problem)
807 .  xadj, adjncy - the CSR graph
808 -  copymode - either PETSC_COPY_VALUES or PETSC_OWN_POINTER.
809 
810    Level: intermediate
811 
812    Notes:
813 
814 .seealso: PCBDDC,PetscCopyMode
815 @*/
816 PetscErrorCode PCBDDCSetLocalAdjacencyGraph(PC pc,PetscInt nvtxs,const PetscInt xadj[],const PetscInt adjncy[], PetscCopyMode copymode)
817 {
818   void (*f)(void) = 0;
819   PetscErrorCode ierr;
820 
821   PetscFunctionBegin;
822   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
823   PetscValidIntPointer(xadj,3);
824   PetscValidIntPointer(adjncy,4);
825   if (copymode != PETSC_COPY_VALUES && copymode != PETSC_OWN_POINTER) {
826     SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_SUP,"Unsupported copy mode %d in %s\n",copymode,__FUNCT__);
827   }
828   ierr = PetscTryMethod(pc,"PCBDDCSetLocalAdjacencyGraph_C",(PC,PetscInt,const PetscInt[],const PetscInt[],PetscCopyMode),(pc,nvtxs,xadj,adjncy,copymode));CHKERRQ(ierr);
829   /* free arrays if PCBDDC is not the PC type */
830   ierr = PetscObjectQueryFunction((PetscObject)pc,"PCBDDCSetLocalAdjacencyGraph_C",&f);CHKERRQ(ierr);
831   if (!f && copymode == PETSC_OWN_POINTER) {
832     ierr = PetscFree(xadj);CHKERRQ(ierr);
833     ierr = PetscFree(adjncy);CHKERRQ(ierr);
834   }
835   PetscFunctionReturn(0);
836 }
837 /* -------------------------------------------------------------------------- */
838 
839 #undef __FUNCT__
840 #define __FUNCT__ "PCBDDCSetDofsSplittingLocal_BDDC"
841 static PetscErrorCode PCBDDCSetDofsSplittingLocal_BDDC(PC pc,PetscInt n_is, IS ISForDofs[])
842 {
843   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
844   PetscInt i;
845   PetscErrorCode ierr;
846 
847   PetscFunctionBegin;
848   /* Destroy ISes if they were already set */
849   for (i=0;i<pcbddc->n_ISForDofsLocal;i++) {
850     ierr = ISDestroy(&pcbddc->ISForDofsLocal[i]);CHKERRQ(ierr);
851   }
852   ierr = PetscFree(pcbddc->ISForDofsLocal);CHKERRQ(ierr);
853   /* last user setting takes precendence -> destroy any other customization */
854   for (i=0;i<pcbddc->n_ISForDofs;i++) {
855     ierr = ISDestroy(&pcbddc->ISForDofs[i]);CHKERRQ(ierr);
856   }
857   ierr = PetscFree(pcbddc->ISForDofs);CHKERRQ(ierr);
858   pcbddc->n_ISForDofs = 0;
859   /* allocate space then set */
860   if (n_is) {
861     ierr = PetscMalloc1(n_is,&pcbddc->ISForDofsLocal);CHKERRQ(ierr);
862   }
863   for (i=0;i<n_is;i++) {
864     ierr = PetscObjectReference((PetscObject)ISForDofs[i]);CHKERRQ(ierr);
865     pcbddc->ISForDofsLocal[i]=ISForDofs[i];
866   }
867   pcbddc->n_ISForDofsLocal=n_is;
868   if (n_is) pcbddc->user_provided_isfordofs = PETSC_TRUE;
869   pcbddc->recompute_topography = PETSC_TRUE;
870   PetscFunctionReturn(0);
871 }
872 
873 #undef __FUNCT__
874 #define __FUNCT__ "PCBDDCSetDofsSplittingLocal"
875 /*@
876  PCBDDCSetDofsSplittingLocal - Set index sets defining fields of the local subdomain matrix
877 
878    Collective
879 
880    Input Parameters:
881 +  pc - the preconditioning context
882 .  n_is - number of index sets defining the fields
883 -  ISForDofs - array of IS describing the fields in local ordering
884 
885    Level: intermediate
886 
887    Notes:
888      n_is should be the same among processes. Not all nodes need to be listed: unlisted nodes will belong to the complement field.
889 
890 .seealso: PCBDDC
891 @*/
892 PetscErrorCode PCBDDCSetDofsSplittingLocal(PC pc,PetscInt n_is, IS ISForDofs[])
893 {
894   PetscInt       i;
895   PetscErrorCode ierr;
896 
897   PetscFunctionBegin;
898   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
899   PetscValidLogicalCollectiveInt(pc,n_is,2);
900   for (i=0;i<n_is;i++) {
901     PetscCheckSameComm(pc,1,ISForDofs[i],3);
902     PetscValidHeaderSpecific(ISForDofs[i],IS_CLASSID,3);
903   }
904   ierr = PetscTryMethod(pc,"PCBDDCSetDofsSplittingLocal_C",(PC,PetscInt,IS[]),(pc,n_is,ISForDofs));CHKERRQ(ierr);
905   PetscFunctionReturn(0);
906 }
907 /* -------------------------------------------------------------------------- */
908 
909 #undef __FUNCT__
910 #define __FUNCT__ "PCBDDCSetDofsSplitting_BDDC"
911 static PetscErrorCode PCBDDCSetDofsSplitting_BDDC(PC pc,PetscInt n_is, IS ISForDofs[])
912 {
913   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
914   PetscInt i;
915   PetscErrorCode ierr;
916 
917   PetscFunctionBegin;
918   /* Destroy ISes if they were already set */
919   for (i=0;i<pcbddc->n_ISForDofs;i++) {
920     ierr = ISDestroy(&pcbddc->ISForDofs[i]);CHKERRQ(ierr);
921   }
922   ierr = PetscFree(pcbddc->ISForDofs);CHKERRQ(ierr);
923   /* last user setting takes precendence -> destroy any other customization */
924   for (i=0;i<pcbddc->n_ISForDofsLocal;i++) {
925     ierr = ISDestroy(&pcbddc->ISForDofsLocal[i]);CHKERRQ(ierr);
926   }
927   ierr = PetscFree(pcbddc->ISForDofsLocal);CHKERRQ(ierr);
928   pcbddc->n_ISForDofsLocal = 0;
929   /* allocate space then set */
930   if (n_is) {
931     ierr = PetscMalloc1(n_is,&pcbddc->ISForDofs);CHKERRQ(ierr);
932   }
933   for (i=0;i<n_is;i++) {
934     ierr = PetscObjectReference((PetscObject)ISForDofs[i]);CHKERRQ(ierr);
935     pcbddc->ISForDofs[i]=ISForDofs[i];
936   }
937   pcbddc->n_ISForDofs=n_is;
938   if (n_is) pcbddc->user_provided_isfordofs = PETSC_TRUE;
939   pcbddc->recompute_topography = PETSC_TRUE;
940   PetscFunctionReturn(0);
941 }
942 
943 #undef __FUNCT__
944 #define __FUNCT__ "PCBDDCSetDofsSplitting"
945 /*@
946  PCBDDCSetDofsSplitting - Set index sets defining fields of the global matrix
947 
948    Collective
949 
950    Input Parameters:
951 +  pc - the preconditioning context
952 .  n_is - number of index sets defining the fields
953 -  ISForDofs - array of IS describing the fields in global ordering
954 
955    Level: intermediate
956 
957    Notes:
958      Any process can list any global node. Not all nodes need to be listed: unlisted nodes will belong to the complement field.
959 
960 .seealso: PCBDDC
961 @*/
962 PetscErrorCode PCBDDCSetDofsSplitting(PC pc,PetscInt n_is, IS ISForDofs[])
963 {
964   PetscInt       i;
965   PetscErrorCode ierr;
966 
967   PetscFunctionBegin;
968   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
969   PetscValidLogicalCollectiveInt(pc,n_is,2);
970   for (i=0;i<n_is;i++) {
971     PetscCheckSameComm(pc,1,ISForDofs[i],3);
972     PetscValidHeaderSpecific(ISForDofs[i],IS_CLASSID,3);
973   }
974   ierr = PetscTryMethod(pc,"PCBDDCSetDofsSplitting_C",(PC,PetscInt,IS[]),(pc,n_is,ISForDofs));CHKERRQ(ierr);
975   PetscFunctionReturn(0);
976 }
977 
978 /* -------------------------------------------------------------------------- */
979 #undef __FUNCT__
980 #define __FUNCT__ "PCPreSolve_BDDC"
981 /* -------------------------------------------------------------------------- */
982 /*
983    PCPreSolve_BDDC - Changes the right hand side and (if necessary) the initial
984                      guess if a transformation of basis approach has been selected.
985 
986    Input Parameter:
987 +  pc - the preconditioner contex
988 
989    Application Interface Routine: PCPreSolve()
990 
991    Notes:
992      The interface routine PCPreSolve() is not usually called directly by
993    the user, but instead is called by KSPSolve().
994 */
995 static PetscErrorCode PCPreSolve_BDDC(PC pc, KSP ksp, Vec rhs, Vec x)
996 {
997   PetscErrorCode ierr;
998   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
999   PC_IS          *pcis = (PC_IS*)(pc->data);
1000   Vec            used_vec;
1001   PetscBool      copy_rhs = PETSC_TRUE;
1002   PetscBool      benign_correction_is_zero = PETSC_FALSE;
1003   PetscBool      iscg;
1004 
1005   PetscFunctionBegin;
1006   /* if we are working with cg, one dirichlet solve can be avoided during Krylov iterations */
1007   if (ksp) {
1008     ierr = PetscObjectTypeCompare((PetscObject)ksp,KSPCG,&iscg);CHKERRQ(ierr);
1009     if (!iscg) {
1010       ierr = PCBDDCSetUseExactDirichlet(pc,PETSC_FALSE);CHKERRQ(ierr);
1011     }
1012   }
1013   /* Creates parallel work vectors used in presolve */
1014   if (!pcbddc->original_rhs) {
1015     ierr = VecDuplicate(pcis->vec1_global,&pcbddc->original_rhs);CHKERRQ(ierr);
1016   }
1017   if (!pcbddc->temp_solution) {
1018     ierr = VecDuplicate(pcis->vec1_global,&pcbddc->temp_solution);CHKERRQ(ierr);
1019   }
1020 
1021   if (x) {
1022     ierr = PetscObjectReference((PetscObject)x);CHKERRQ(ierr);
1023     used_vec = x;
1024   } else { /* it can only happen when calling PCBDDCMatFETIDPGetRHS */
1025     ierr = PetscObjectReference((PetscObject)pcbddc->temp_solution);CHKERRQ(ierr);
1026     used_vec = pcbddc->temp_solution;
1027     ierr = VecSet(used_vec,0.0);CHKERRQ(ierr);
1028   }
1029 
1030   /* hack into ksp data structure since PCPreSolve comes earlier than setting to zero the guess in src/ksp/ksp/interface/itfunc.c */
1031   if (ksp) {
1032     /* store the flag for the initial guess since it will be restored back during PCPostSolve_BDDC */
1033     ierr = KSPGetInitialGuessNonzero(ksp,&pcbddc->ksp_guess_nonzero);CHKERRQ(ierr);
1034     if (!pcbddc->ksp_guess_nonzero) {
1035       ierr = VecSet(used_vec,0.0);CHKERRQ(ierr);
1036     }
1037   }
1038 
1039   pcbddc->rhs_change = PETSC_FALSE;
1040   /* Take into account zeroed rows -> change rhs and store solution removed */
1041   if (rhs) {
1042     IS dirIS = NULL;
1043 
1044     /* DirichletBoundariesLocal may not be consistent among neighbours; gets a dirichlet dofs IS from graph (may be cached) */
1045     ierr = PCBDDCGraphGetDirichletDofs(pcbddc->mat_graph,&dirIS);CHKERRQ(ierr);
1046     if (dirIS) {
1047       Mat_IS            *matis = (Mat_IS*)pc->pmat->data;
1048       PetscInt          dirsize,i,*is_indices;
1049       PetscScalar       *array_x;
1050       const PetscScalar *array_diagonal;
1051 
1052       ierr = MatGetDiagonal(pc->pmat,pcis->vec1_global);CHKERRQ(ierr);
1053       ierr = VecPointwiseDivide(pcis->vec1_global,rhs,pcis->vec1_global);CHKERRQ(ierr);
1054       ierr = VecScatterBegin(matis->rctx,pcis->vec1_global,pcis->vec2_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1055       ierr = VecScatterEnd(matis->rctx,pcis->vec1_global,pcis->vec2_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1056       ierr = VecScatterBegin(matis->rctx,used_vec,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1057       ierr = VecScatterEnd(matis->rctx,used_vec,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1058       ierr = ISGetLocalSize(dirIS,&dirsize);CHKERRQ(ierr);
1059       ierr = VecGetArray(pcis->vec1_N,&array_x);CHKERRQ(ierr);
1060       ierr = VecGetArrayRead(pcis->vec2_N,&array_diagonal);CHKERRQ(ierr);
1061       ierr = ISGetIndices(dirIS,(const PetscInt**)&is_indices);CHKERRQ(ierr);
1062       for (i=0; i<dirsize; i++) array_x[is_indices[i]] = array_diagonal[is_indices[i]];
1063       ierr = ISRestoreIndices(dirIS,(const PetscInt**)&is_indices);CHKERRQ(ierr);
1064       ierr = VecRestoreArrayRead(pcis->vec2_N,&array_diagonal);CHKERRQ(ierr);
1065       ierr = VecRestoreArray(pcis->vec1_N,&array_x);CHKERRQ(ierr);
1066       ierr = VecScatterBegin(matis->rctx,pcis->vec1_N,used_vec,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1067       ierr = VecScatterEnd(matis->rctx,pcis->vec1_N,used_vec,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1068       pcbddc->rhs_change = PETSC_TRUE;
1069       ierr = ISDestroy(&dirIS);CHKERRQ(ierr);
1070     }
1071   }
1072 
1073   /* remove the computed solution or the initial guess from the rhs */
1074   if (pcbddc->rhs_change || (ksp && pcbddc->ksp_guess_nonzero) ) {
1075     /* store the original rhs */
1076     if (copy_rhs) {
1077       ierr = VecCopy(rhs,pcbddc->original_rhs);CHKERRQ(ierr);
1078       copy_rhs = PETSC_FALSE;
1079     }
1080     pcbddc->rhs_change = PETSC_TRUE;
1081     ierr = VecScale(used_vec,-1.0);CHKERRQ(ierr);
1082     ierr = MatMultAdd(pc->mat,used_vec,rhs,rhs);CHKERRQ(ierr);
1083     ierr = VecScale(used_vec,-1.0);CHKERRQ(ierr);
1084     ierr = VecCopy(used_vec,pcbddc->temp_solution);CHKERRQ(ierr);
1085     if (ksp) {
1086       ierr = KSPSetInitialGuessNonzero(ksp,PETSC_FALSE);CHKERRQ(ierr);
1087     }
1088   }
1089   ierr = VecDestroy(&used_vec);CHKERRQ(ierr);
1090 
1091   /* When using the benign trick: (TODO: what about FETI-DP?)
1092      - change rhs on pressures (iteration matrix is surely of type MATIS)
1093      - compute initial vector in benign space
1094   */
1095   if (rhs && pcbddc->benign_saddle_point) {
1096     Mat_IS   *matis = (Mat_IS*)(pc->mat->data);
1097     PetscInt i;
1098 
1099     /* store the original rhs */
1100     if (copy_rhs) {
1101       ierr = VecCopy(rhs,pcbddc->original_rhs);CHKERRQ(ierr);
1102       copy_rhs = PETSC_FALSE;
1103     }
1104 
1105     /* now change (locally) the basis */
1106     ierr = VecScatterBegin(matis->rctx,rhs,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1107     ierr = VecScatterEnd(matis->rctx,rhs,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1108     if (pcbddc->benign_change) {
1109       ierr = MatMultTranspose(pcbddc->benign_change,pcis->vec1_N,pcis->vec2_N);CHKERRQ(ierr);
1110       ierr = VecScatterBegin(matis->rctx,pcis->vec2_N,rhs,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1111       ierr = VecScatterEnd(matis->rctx,pcis->vec2_N,rhs,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1112       /* swap local iteration matrix (with the benign trick, amat == pmat) */
1113       ierr = PCBDDCBenignPopOrPushB0(pc,PETSC_FALSE);CHKERRQ(ierr);
1114       pcbddc->benign_original_mat = matis->A;
1115       matis->A = pcbddc->local_mat;
1116     } else {
1117       ierr = VecScatterBegin(matis->rctx,pcis->vec1_N,rhs,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1118       ierr = VecScatterEnd(matis->rctx,pcis->vec1_N,rhs,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1119     }
1120     pcbddc->rhs_change = PETSC_TRUE;
1121 
1122     /* compute u^*_h as in Xuemin Tu's thesis (see Section 4.8.1) */
1123     /* TODO: what about Stokes? */
1124     if (!pcbddc->benign_vec) {
1125       ierr = VecDuplicate(rhs,&pcbddc->benign_vec);CHKERRQ(ierr);
1126     }
1127     ierr = PetscMemzero(pcbddc->benign_p0,pcbddc->benign_n*sizeof(PetscScalar));CHKERRQ(ierr);
1128     if (pcbddc->benign_n) {
1129       const PetscScalar *array;
1130 
1131       ierr = VecGetArrayRead(pcis->vec2_N,&array);CHKERRQ(ierr);
1132       for (i=0;i<pcbddc->benign_n;i++) pcbddc->benign_p0[i] = array[pcbddc->benign_p0_lidx[i]];
1133       ierr = VecRestoreArrayRead(pcis->vec2_N,&array);CHKERRQ(ierr);
1134     }
1135     if (pcbddc->benign_null && iscg) { /* this is a workaround, need to understand more */
1136       PetscBool iszero_l = PETSC_TRUE;
1137       for (i=0;i<pcbddc->benign_n;i++) {
1138         iszero_l = (iszero_l && (PetscAbsScalar(pcbddc->benign_p0[i]) < PETSC_SMALL ? PETSC_TRUE : PETSC_FALSE));
1139       }
1140       ierr = MPI_Allreduce(&iszero_l,&benign_correction_is_zero,1,MPIU_BOOL,MPI_LAND,PetscObjectComm((PetscObject)pc));CHKERRQ(ierr);
1141     }
1142     if (!benign_correction_is_zero) {
1143       ierr = VecSet(pcis->vec1_global,0.);CHKERRQ(ierr);
1144       ierr = PCBDDCBenignGetOrSetP0(pc,pcis->vec1_global,PETSC_FALSE);CHKERRQ(ierr);
1145       ierr = PCApply_BDDC(pc,pcis->vec1_global,pcbddc->benign_vec);CHKERRQ(ierr);
1146       ierr = PetscMemzero(pcbddc->benign_p0,pcbddc->benign_n*sizeof(PetscScalar));CHKERRQ(ierr);
1147       ierr = PCBDDCBenignGetOrSetP0(pc,pcbddc->benign_vec,PETSC_FALSE);CHKERRQ(ierr);
1148     }
1149   }
1150 
1151   /* change rhs and iteration matrix if using the change of basis */
1152   if (pcbddc->ChangeOfBasisMatrix) {
1153     PCBDDCChange_ctx change_ctx;
1154 
1155     /* get change ctx */
1156     ierr = MatShellGetContext(pcbddc->new_global_mat,&change_ctx);CHKERRQ(ierr);
1157 
1158     /* set current iteration matrix inside change context (change of basis has been already set into the ctx during PCSetUp) */
1159     if (!(pcbddc->benign_saddle_point && pcbddc->user_ChangeOfBasisMatrix)) {
1160       ierr = MatDestroy(&change_ctx->original_mat);CHKERRQ(ierr);
1161       ierr = PetscObjectReference((PetscObject)pc->mat);CHKERRQ(ierr);
1162       change_ctx->original_mat = pc->mat;
1163 
1164       /* change iteration matrix */
1165       ierr = MatDestroy(&pc->mat);CHKERRQ(ierr);
1166       ierr = PetscObjectReference((PetscObject)pcbddc->new_global_mat);CHKERRQ(ierr);
1167       pc->mat = pcbddc->new_global_mat;
1168     }
1169     /* store the original rhs */
1170     if (copy_rhs) {
1171       ierr = VecCopy(rhs,pcbddc->original_rhs);CHKERRQ(ierr);
1172       copy_rhs = PETSC_FALSE;
1173     }
1174 
1175     /* change rhs */
1176     ierr = MatMultTranspose(change_ctx->global_change,rhs,pcis->vec1_global);CHKERRQ(ierr);
1177     ierr = VecCopy(pcis->vec1_global,rhs);CHKERRQ(ierr);
1178     pcbddc->rhs_change = PETSC_TRUE;
1179   }
1180 
1181   /* remove non-benign solution from the rhs */
1182   if (pcbddc->benign_saddle_point) {
1183     /* store the original rhs */
1184     if (copy_rhs) {
1185       ierr = VecCopy(rhs,pcbddc->original_rhs);CHKERRQ(ierr);
1186       copy_rhs = PETSC_FALSE;
1187     }
1188     if (benign_correction_is_zero) { /* still need to understand why it works great */
1189       ierr = PCBDDCSetUseExactDirichlet(pc,PETSC_FALSE);CHKERRQ(ierr);
1190       ierr = PCApply_BDDC(pc,rhs,pcbddc->benign_vec);CHKERRQ(ierr);
1191     }
1192     ierr = VecScale(pcbddc->benign_vec,-1.0);CHKERRQ(ierr);
1193     ierr = MatMultAdd(pc->mat,pcbddc->benign_vec,rhs,rhs);CHKERRQ(ierr);
1194     pcbddc->rhs_change = PETSC_TRUE;
1195   }
1196 
1197   /* set initial guess if using PCG */
1198   if (x && pcbddc->use_exact_dirichlet_trick) {
1199     ierr = VecSet(x,0.0);CHKERRQ(ierr);
1200     ierr = VecScatterBegin(pcis->global_to_D,rhs,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1201     ierr = VecScatterEnd(pcis->global_to_D,rhs,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1202     ierr = KSPSolve(pcbddc->ksp_D,pcis->vec1_D,pcis->vec2_D);CHKERRQ(ierr);
1203     ierr = VecScatterBegin(pcis->global_to_D,pcis->vec2_D,x,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1204     ierr = VecScatterEnd(pcis->global_to_D,pcis->vec2_D,x,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1205     if (ksp) {
1206       ierr = KSPSetInitialGuessNonzero(ksp,PETSC_TRUE);CHKERRQ(ierr);
1207     }
1208   }
1209   if (pcbddc->benign_null) {
1210     MatNullSpace null_space;
1211     Vec          nullv;
1212     PetscBool    isnull;
1213     PetscInt     i;
1214 
1215     for (i=0;i<pcbddc->benign_n;i++) pcbddc->benign_p0[i] = 1.;
1216     ierr = VecDuplicate(pcis->vec1_global,&nullv);CHKERRQ(ierr);
1217     ierr = VecSet(nullv,0.);CHKERRQ(ierr);
1218     ierr = PCBDDCBenignGetOrSetP0(pc,nullv,PETSC_FALSE);CHKERRQ(ierr);
1219     ierr = VecNormalize(nullv,NULL);CHKERRQ(ierr);
1220     ierr = MatNullSpaceCreate(PetscObjectComm((PetscObject)pc),PETSC_FALSE,1,&nullv,&null_space);CHKERRQ(ierr);
1221     ierr = MatNullSpaceTest(null_space,pc->mat,&isnull);CHKERRQ(ierr);
1222     if (isnull) {
1223       ierr = MatSetNullSpace(pc->mat,null_space);CHKERRQ(ierr);
1224     }
1225     ierr = MatNullSpaceDestroy(&null_space);CHKERRQ(ierr);
1226     ierr = VecDestroy(&nullv);CHKERRQ(ierr);
1227   }
1228 
1229 
1230   /* remove nullspace if present */
1231   if (ksp && x && pcbddc->NullSpace) {
1232     ierr = MatNullSpaceRemove(pcbddc->NullSpace,x);CHKERRQ(ierr);
1233     /* store the original rhs */
1234     if (copy_rhs) {
1235       ierr = VecCopy(rhs,pcbddc->original_rhs);CHKERRQ(ierr);
1236       copy_rhs = PETSC_FALSE;
1237     }
1238     pcbddc->rhs_change = PETSC_TRUE;
1239     ierr = MatNullSpaceRemove(pcbddc->NullSpace,rhs);CHKERRQ(ierr);
1240   }
1241   PetscFunctionReturn(0);
1242 }
1243 
1244 /* -------------------------------------------------------------------------- */
1245 #undef __FUNCT__
1246 #define __FUNCT__ "PCPostSolve_BDDC"
1247 /* -------------------------------------------------------------------------- */
1248 /*
1249    PCPostSolve_BDDC - Changes the computed solution if a transformation of basis
1250                      approach has been selected. Also, restores rhs to its original state.
1251 
1252    Input Parameter:
1253 +  pc - the preconditioner contex
1254 
1255    Application Interface Routine: PCPostSolve()
1256 
1257    Notes:
1258      The interface routine PCPostSolve() is not usually called directly by
1259      the user, but instead is called by KSPSolve().
1260 */
1261 static PetscErrorCode PCPostSolve_BDDC(PC pc, KSP ksp, Vec rhs, Vec x)
1262 {
1263   PetscErrorCode ierr;
1264   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
1265 
1266   PetscFunctionBegin;
1267   if (pcbddc->ChangeOfBasisMatrix && !(pcbddc->benign_saddle_point && pcbddc->user_ChangeOfBasisMatrix)) {
1268     PCBDDCChange_ctx change_ctx;
1269 
1270     /* get change ctx */
1271     ierr = MatShellGetContext(pcbddc->new_global_mat,&change_ctx);CHKERRQ(ierr);
1272 
1273     /* restore iteration matrix */
1274     ierr = MatDestroy(&pc->mat);CHKERRQ(ierr);
1275     ierr = PetscObjectReference((PetscObject)change_ctx->original_mat);CHKERRQ(ierr);
1276     pc->mat = change_ctx->original_mat;
1277   }
1278 
1279   /* need to restore the local matrices */
1280   if (pcbddc->benign_change) {
1281     Mat_IS *matis = (Mat_IS*)pc->mat->data;
1282 
1283     pcbddc->local_mat = matis->A;
1284     matis->A = pcbddc->benign_original_mat;
1285     pcbddc->benign_original_mat = NULL;
1286   }
1287 
1288   /* get solution in original basis */
1289   if (x) {
1290     PC_IS *pcis = (PC_IS*)(pc->data);
1291 
1292     /* restore solution on pressures */
1293     if (pcbddc->benign_saddle_point) {
1294       Mat_IS *matis = (Mat_IS*)pc->mat->data;
1295 
1296       /* add non-benign solution */
1297       ierr = VecAXPY(x,-1.0,pcbddc->benign_vec);CHKERRQ(ierr);
1298 
1299       /* change basis on pressures for x */
1300       ierr = VecScatterBegin(matis->rctx,x,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1301       ierr = VecScatterEnd(matis->rctx,x,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1302       if (pcbddc->benign_change) {
1303         ierr = MatMult(pcbddc->benign_change,pcis->vec1_N,pcis->vec2_N);CHKERRQ(ierr);
1304         ierr = VecScatterBegin(matis->rctx,pcis->vec2_N,x,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1305         ierr = VecScatterEnd(matis->rctx,pcis->vec2_N,x,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1306       } else {
1307         ierr = VecScatterBegin(matis->rctx,pcis->vec1_N,x,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1308         ierr = VecScatterEnd(matis->rctx,pcis->vec1_N,x,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1309       }
1310     }
1311 
1312     /* change basis on x */
1313     if (pcbddc->ChangeOfBasisMatrix) {
1314       PCBDDCChange_ctx change_ctx;
1315 
1316       ierr = MatShellGetContext(pcbddc->new_global_mat,&change_ctx);CHKERRQ(ierr);
1317       ierr = MatMult(change_ctx->global_change,x,pcis->vec1_global);CHKERRQ(ierr);
1318       ierr = VecCopy(pcis->vec1_global,x);CHKERRQ(ierr);
1319     }
1320   }
1321 
1322   /* add solution removed in presolve */
1323   if (x && pcbddc->rhs_change) {
1324     ierr = VecAXPY(x,1.0,pcbddc->temp_solution);CHKERRQ(ierr);
1325   }
1326 
1327   /* restore rhs to its original state */
1328   if (rhs && pcbddc->rhs_change) {
1329     ierr = VecCopy(pcbddc->original_rhs,rhs);CHKERRQ(ierr);
1330   }
1331   pcbddc->rhs_change = PETSC_FALSE;
1332 
1333   /* restore ksp guess state */
1334   if (ksp) {
1335     ierr = KSPSetInitialGuessNonzero(ksp,pcbddc->ksp_guess_nonzero);CHKERRQ(ierr);
1336   }
1337   PetscFunctionReturn(0);
1338 }
1339 /* -------------------------------------------------------------------------- */
1340 #undef __FUNCT__
1341 #define __FUNCT__ "PCSetUp_BDDC"
1342 /* -------------------------------------------------------------------------- */
1343 /*
1344    PCSetUp_BDDC - Prepares for the use of the BDDC preconditioner
1345                   by setting data structures and options.
1346 
1347    Input Parameter:
1348 +  pc - the preconditioner context
1349 
1350    Application Interface Routine: PCSetUp()
1351 
1352    Notes:
1353      The interface routine PCSetUp() is not usually called directly by
1354      the user, but instead is called by PCApply() if necessary.
1355 */
1356 PetscErrorCode PCSetUp_BDDC(PC pc)
1357 {
1358   PetscErrorCode ierr;
1359   PC_BDDC*       pcbddc = (PC_BDDC*)pc->data;
1360   Mat_IS*        matis;
1361   MatNullSpace   nearnullspace;
1362   IS             zerodiag = NULL;
1363   PetscInt       nrows,ncols;
1364   PetscBool      computetopography,computesolvers,computesubschurs;
1365   PetscBool      computeconstraintsmatrix;
1366   PetscBool      new_nearnullspace_provided,ismatis;
1367 
1368   PetscFunctionBegin;
1369   ierr = PetscObjectTypeCompare((PetscObject)pc->pmat,MATIS,&ismatis);CHKERRQ(ierr);
1370   if (!ismatis) {
1371     SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_ARG_WRONG,"PCBDDC preconditioner requires matrix of type MATIS");
1372   }
1373   ierr = MatGetSize(pc->pmat,&nrows,&ncols);CHKERRQ(ierr);
1374   if (nrows != ncols) {
1375     SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"PCBDDC preconditioner requires a square preconditioning matrix");
1376   }
1377   matis = (Mat_IS*)pc->pmat->data;
1378   /* the following lines of code should be replaced by a better logic between PCIS, PCNN, PCBDDC and other future nonoverlapping preconditioners */
1379   /* For BDDC we need to define a local "Neumann" problem different to that defined in PCISSetup
1380      Also, BDDC directly build the Dirichlet problem */
1381   /* split work */
1382   if (pc->setupcalled) {
1383     if (pc->flag == SAME_NONZERO_PATTERN) {
1384       computetopography = PETSC_FALSE;
1385       computesolvers = PETSC_TRUE;
1386     } else { /* DIFFERENT_NONZERO_PATTERN */
1387       computetopography = PETSC_TRUE;
1388       computesolvers = PETSC_TRUE;
1389     }
1390   } else {
1391     computetopography = PETSC_TRUE;
1392     computesolvers = PETSC_TRUE;
1393   }
1394   if (pcbddc->recompute_topography) {
1395     computetopography = PETSC_TRUE;
1396   }
1397   computeconstraintsmatrix = PETSC_FALSE;
1398 
1399   /* check parameters' compatibility */
1400   if (pcbddc->adaptive_threshold > 0.0 && !pcbddc->use_deluxe_scaling) {
1401     SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Cannot compute adaptive constraints without deluxe scaling. Rerun with -pc_bddc_use_deluxe_scaling");
1402   }
1403   pcbddc->adaptive_selection = (PetscBool)(pcbddc->adaptive_threshold > 0.0 && pcbddc->use_deluxe_scaling);
1404   if (pcbddc->adaptive_selection) pcbddc->use_faces = PETSC_TRUE;
1405 
1406   computesubschurs = (PetscBool)(pcbddc->adaptive_selection || pcbddc->use_deluxe_scaling);
1407   if (pcbddc->faster_deluxe && pcbddc->adaptive_selection && pcbddc->use_change_of_basis) {
1408     SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Cannot compute faster deluxe if adaptivity and change of basis are both requested. Rerun with -pc_bddc_deluxe_faster false");
1409   }
1410 
1411   /* check if the iteration matrix is of type MATIS in case the benign trick has been requested */
1412   ierr = PetscObjectTypeCompare((PetscObject)pc->mat,MATIS,&ismatis);CHKERRQ(ierr);
1413   if (pcbddc->benign_saddle_point && !ismatis) {
1414     SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_ARG_WRONG,"PCBDDC preconditioner with benign subspace trick requires the iteration matrix to be of type MATIS");
1415   }
1416   if (pcbddc->benign_saddle_point && pc->mat != pc->pmat) {
1417     SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_ARG_WRONG,"PCBDDC preconditioner with benign subspace trick requires the Amat == Pmat");
1418   }
1419 
1420   /* Get stdout for dbg */
1421   if (pcbddc->dbg_flag) {
1422     if (!pcbddc->dbg_viewer) {
1423       pcbddc->dbg_viewer = PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)pc));
1424       ierr = PetscViewerASCIIPushSynchronized(pcbddc->dbg_viewer);CHKERRQ(ierr);
1425     }
1426     ierr = PetscViewerASCIIAddTab(pcbddc->dbg_viewer,2*pcbddc->current_level);CHKERRQ(ierr);
1427   }
1428 
1429   if (pcbddc->user_ChangeOfBasisMatrix) {
1430     /* use_change_of_basis flag is used to automatically compute a change of basis from constraints */
1431     pcbddc->use_change_of_basis = PETSC_FALSE;
1432     ierr = PCBDDCComputeLocalMatrix(pc,pcbddc->user_ChangeOfBasisMatrix);CHKERRQ(ierr);
1433   } else {
1434     ierr = MatDestroy(&pcbddc->local_mat);CHKERRQ(ierr);
1435     ierr = PetscObjectReference((PetscObject)matis->A);CHKERRQ(ierr);
1436     pcbddc->local_mat = matis->A;
1437   }
1438 
1439   /* detect local disconnected subdomains if requested and not done before */
1440   if (pcbddc->detect_disconnected && !pcbddc->n_local_subs) {
1441     ierr = MatDetectDisconnectedComponents(pcbddc->local_mat,PETSC_FALSE,&pcbddc->n_local_subs,&pcbddc->local_subs);CHKERRQ(ierr);
1442   }
1443 
1444   /*
1445      change basis on local pressures (aka zerodiag dofs)
1446      This should come earlier then PCISSetUp for extracting the correct subdomain matrices
1447   */
1448   if (pcbddc->benign_saddle_point) {
1449     PC_IS* pcis = (PC_IS*)pc->data;
1450 
1451     /* detect local saddle point and change the basis in pcbddc->local_mat */
1452     ierr = PCBDDCBenignDetectSaddlePoint(pc,&zerodiag);CHKERRQ(ierr);
1453     /* pop B0 mat from pcbddc->local_mat */
1454     ierr = PCBDDCBenignPopOrPushB0(pc,PETSC_TRUE);CHKERRQ(ierr);
1455     /* set flag in pcis to not reuse submatrices during PCISCreate */
1456     pcis->reusesubmatrices = PETSC_FALSE;
1457   }
1458 
1459   /* propagate relevant information */
1460 #if !defined(PETSC_USE_COMPLEX) /* workaround for reals */
1461   if (matis->A->symmetric_set) {
1462     ierr = MatSetOption(pcbddc->local_mat,MAT_HERMITIAN,matis->A->symmetric);CHKERRQ(ierr);
1463   }
1464 #endif
1465   if (matis->A->symmetric_set) {
1466     ierr = MatSetOption(pcbddc->local_mat,MAT_SYMMETRIC,matis->A->symmetric);CHKERRQ(ierr);
1467   }
1468   if (matis->A->spd_set) {
1469     ierr = MatSetOption(pcbddc->local_mat,MAT_SPD,matis->A->spd);CHKERRQ(ierr);
1470   }
1471 
1472   /* Set up all the "iterative substructuring" common block without computing solvers */
1473   {
1474     Mat temp_mat;
1475 
1476     temp_mat = matis->A;
1477     matis->A = pcbddc->local_mat;
1478     ierr = PCISSetUp(pc,PETSC_FALSE);CHKERRQ(ierr);
1479     pcbddc->local_mat = matis->A;
1480     matis->A = temp_mat;
1481   }
1482 
1483   /* Analyze interface */
1484   if (computetopography) {
1485     ierr = PCBDDCAnalyzeInterface(pc);CHKERRQ(ierr);
1486     computeconstraintsmatrix = PETSC_TRUE;
1487   }
1488 
1489   /* check existence of a divergence free extension, i.e.
1490      b(v_I,p_0) = 0 for all v_I (raise error if not).
1491      Also, check that PCBDDCBenignGetOrSetP0 works */
1492 #if defined(PETSC_USE_DEBUG)
1493   if (pcbddc->benign_saddle_point) {
1494     ierr = PCBDDCBenignCheck(pc,zerodiag);CHKERRQ(ierr);
1495   }
1496 #endif
1497   ierr = ISDestroy(&zerodiag);CHKERRQ(ierr);
1498 
1499   /* Setup local dirichlet solver ksp_D and sub_schurs solvers */
1500   if (computesolvers) {
1501     PCBDDCSubSchurs sub_schurs=pcbddc->sub_schurs;
1502 
1503     if (computesubschurs && computetopography) {
1504       ierr = PCBDDCInitSubSchurs(pc);CHKERRQ(ierr);
1505     }
1506     if (sub_schurs->use_mumps) {
1507       if (computesubschurs) {
1508         ierr = PCBDDCSetUpSubSchurs(pc);CHKERRQ(ierr);
1509       }
1510       ierr = PCBDDCSetUpLocalSolvers(pc,PETSC_TRUE,PETSC_FALSE);CHKERRQ(ierr);
1511     } else {
1512       ierr = PCBDDCSetUpLocalSolvers(pc,PETSC_TRUE,PETSC_FALSE);CHKERRQ(ierr);
1513       if (computesubschurs) {
1514         ierr = PCBDDCSetUpSubSchurs(pc);CHKERRQ(ierr);
1515       }
1516     }
1517     if (pcbddc->adaptive_selection) {
1518       ierr = PCBDDCAdaptiveSelection(pc);CHKERRQ(ierr);
1519       computeconstraintsmatrix = PETSC_TRUE;
1520     }
1521   }
1522 
1523   /* infer if NullSpace object attached to Mat via MatSetNearNullSpace has changed */
1524   new_nearnullspace_provided = PETSC_FALSE;
1525   ierr = MatGetNearNullSpace(pc->pmat,&nearnullspace);CHKERRQ(ierr);
1526   if (pcbddc->onearnullspace) { /* already used nearnullspace */
1527     if (!nearnullspace) { /* near null space attached to mat has been destroyed */
1528       new_nearnullspace_provided = PETSC_TRUE;
1529     } else {
1530       /* determine if the two nullspaces are different (should be lightweight) */
1531       if (nearnullspace != pcbddc->onearnullspace) {
1532         new_nearnullspace_provided = PETSC_TRUE;
1533       } else { /* maybe the user has changed the content of the nearnullspace so check vectors ObjectStateId */
1534         PetscInt         i;
1535         const Vec        *nearnullvecs;
1536         PetscObjectState state;
1537         PetscInt         nnsp_size;
1538         ierr = MatNullSpaceGetVecs(nearnullspace,NULL,&nnsp_size,&nearnullvecs);CHKERRQ(ierr);
1539         for (i=0;i<nnsp_size;i++) {
1540           ierr = PetscObjectStateGet((PetscObject)nearnullvecs[i],&state);CHKERRQ(ierr);
1541           if (pcbddc->onearnullvecs_state[i] != state) {
1542             new_nearnullspace_provided = PETSC_TRUE;
1543             break;
1544           }
1545         }
1546       }
1547     }
1548   } else {
1549     if (!nearnullspace) { /* both nearnullspaces are null */
1550       new_nearnullspace_provided = PETSC_FALSE;
1551     } else { /* nearnullspace attached later */
1552       new_nearnullspace_provided = PETSC_TRUE;
1553     }
1554   }
1555 
1556   /* Setup constraints and related work vectors */
1557   /* reset primal space flags */
1558   pcbddc->new_primal_space = PETSC_FALSE;
1559   pcbddc->new_primal_space_local = PETSC_FALSE;
1560   if (computeconstraintsmatrix || new_nearnullspace_provided) {
1561     /* It also sets the primal space flags */
1562     ierr = PCBDDCConstraintsSetUp(pc);CHKERRQ(ierr);
1563     /* Allocate needed local vectors (which depends on quantities defined during ConstraintsSetUp) */
1564     ierr = PCBDDCSetUpLocalWorkVectors(pc);CHKERRQ(ierr);
1565   }
1566 
1567   if (computesolvers || pcbddc->new_primal_space) {
1568     if (pcbddc->use_change_of_basis) {
1569       PC_IS *pcis = (PC_IS*)(pc->data);
1570       Mat   temp_mat = NULL;
1571 
1572       if (pcbddc->benign_change) {
1573         /* insert B0 in pcbddc->local_mat */
1574         ierr = PCBDDCBenignPopOrPushB0(pc,PETSC_FALSE);CHKERRQ(ierr);
1575         /* swap local matrices */
1576         ierr = MatISGetLocalMat(pc->pmat,&temp_mat);CHKERRQ(ierr);
1577         ierr = PetscObjectReference((PetscObject)temp_mat);CHKERRQ(ierr);
1578         ierr = MatISSetLocalMat(pc->pmat,pcbddc->local_mat);CHKERRQ(ierr);
1579         ierr = MatDestroy(&pcbddc->local_mat);CHKERRQ(ierr);
1580       }
1581       ierr = PCBDDCComputeLocalMatrix(pc,pcbddc->ChangeOfBasisMatrix);CHKERRQ(ierr);
1582       if (pcbddc->benign_change) {
1583         /* restore original matrix */
1584         ierr = MatISSetLocalMat(pc->pmat,temp_mat);CHKERRQ(ierr);
1585         ierr = PetscObjectDereference((PetscObject)temp_mat);CHKERRQ(ierr);
1586         /* pop B0 from pcbddc->local_mat */
1587         ierr = PCBDDCBenignPopOrPushB0(pc,PETSC_TRUE);CHKERRQ(ierr);
1588       }
1589       /* get submatrices */
1590       ierr = MatDestroy(&pcis->A_IB);CHKERRQ(ierr);
1591       ierr = MatDestroy(&pcis->A_BI);CHKERRQ(ierr);
1592       ierr = MatDestroy(&pcis->A_BB);CHKERRQ(ierr);
1593       ierr = MatGetSubMatrix(pcbddc->local_mat,pcis->is_B_local,pcis->is_B_local,MAT_INITIAL_MATRIX,&pcis->A_BB);CHKERRQ(ierr);
1594       ierr = MatGetSubMatrix(pcbddc->local_mat,pcis->is_I_local,pcis->is_B_local,MAT_INITIAL_MATRIX,&pcis->A_IB);CHKERRQ(ierr);
1595       ierr = MatGetSubMatrix(pcbddc->local_mat,pcis->is_B_local,pcis->is_I_local,MAT_INITIAL_MATRIX,&pcis->A_BI);CHKERRQ(ierr);
1596       /* set flag in pcis to not reuse submatrices during PCISCreate */
1597       pcis->reusesubmatrices = PETSC_FALSE;
1598     } else if (!pcbddc->user_ChangeOfBasisMatrix && !pcbddc->benign_change) {
1599       ierr = MatDestroy(&pcbddc->local_mat);CHKERRQ(ierr);
1600       ierr = PetscObjectReference((PetscObject)matis->A);CHKERRQ(ierr);
1601       pcbddc->local_mat = matis->A;
1602     }
1603     /* SetUp coarse and local Neumann solvers */
1604     ierr = PCBDDCSetUpSolvers(pc);CHKERRQ(ierr);
1605     /* SetUp Scaling operator */
1606     ierr = PCBDDCScalingSetUp(pc);CHKERRQ(ierr);
1607   }
1608 
1609   if (pcbddc->dbg_flag) {
1610     ierr = PetscViewerASCIISubtractTab(pcbddc->dbg_viewer,2*pcbddc->current_level);CHKERRQ(ierr);
1611   }
1612   PetscFunctionReturn(0);
1613 }
1614 
1615 /* -------------------------------------------------------------------------- */
1616 /*
1617    PCApply_BDDC - Applies the BDDC operator to a vector.
1618 
1619    Input Parameters:
1620 +  pc - the preconditioner context
1621 -  r - input vector (global)
1622 
1623    Output Parameter:
1624 .  z - output vector (global)
1625 
1626    Application Interface Routine: PCApply()
1627  */
1628 #undef __FUNCT__
1629 #define __FUNCT__ "PCApply_BDDC"
1630 PetscErrorCode PCApply_BDDC(PC pc,Vec r,Vec z)
1631 {
1632   PC_IS             *pcis = (PC_IS*)(pc->data);
1633   PC_BDDC           *pcbddc = (PC_BDDC*)(pc->data);
1634   PetscInt          n_B = pcis->n_B, n_D = pcis->n - n_B;
1635   PetscErrorCode    ierr;
1636   const PetscScalar one = 1.0;
1637   const PetscScalar m_one = -1.0;
1638   const PetscScalar zero = 0.0;
1639 
1640 /* This code is similar to that provided in nn.c for PCNN
1641    NN interface preconditioner changed to BDDC
1642    Added support for M_3 preconditioner in the reference article (code is active if pcbddc->switch_static == PETSC_TRUE) */
1643 
1644   PetscFunctionBegin;
1645   if (pcbddc->benign_saddle_point) { /* get p0 from r */
1646     ierr = PCBDDCBenignGetOrSetP0(pc,r,PETSC_TRUE);CHKERRQ(ierr);
1647   }
1648   if (!pcbddc->use_exact_dirichlet_trick) {
1649     ierr = VecCopy(r,z);CHKERRQ(ierr);
1650     /* First Dirichlet solve */
1651     ierr = VecScatterBegin(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1652     ierr = VecScatterEnd(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1653     /*
1654       Assembling right hand side for BDDC operator
1655       - pcis->vec1_D for the Dirichlet part (if needed, i.e. pcbddc->switch_static == PETSC_TRUE)
1656       - pcis->vec1_B the interface part of the global vector z
1657     */
1658     if (n_D) {
1659       ierr = KSPSolve(pcbddc->ksp_D,pcis->vec1_D,pcis->vec2_D);CHKERRQ(ierr);
1660       ierr = VecScale(pcis->vec2_D,m_one);CHKERRQ(ierr);
1661       if (pcbddc->switch_static) { ierr = MatMultAdd(pcis->A_II,pcis->vec2_D,pcis->vec1_D,pcis->vec1_D);CHKERRQ(ierr); }
1662       ierr = MatMult(pcis->A_BI,pcis->vec2_D,pcis->vec1_B);CHKERRQ(ierr);
1663     } else {
1664       ierr = VecSet(pcis->vec1_B,zero);CHKERRQ(ierr);
1665     }
1666     ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1667     ierr = VecScatterEnd(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1668     ierr = PCBDDCScalingRestriction(pc,z,pcis->vec1_B);CHKERRQ(ierr);
1669   } else {
1670     if (pcbddc->switch_static) {
1671       ierr = VecSet(pcis->vec1_D,zero);CHKERRQ(ierr);
1672     }
1673     ierr = PCBDDCScalingRestriction(pc,r,pcis->vec1_B);CHKERRQ(ierr);
1674   }
1675 
1676   /* Apply interface preconditioner
1677      input/output vecs: pcis->vec1_B and pcis->vec1_D */
1678   ierr = PCBDDCApplyInterfacePreconditioner(pc,PETSC_FALSE);CHKERRQ(ierr);
1679 
1680   /* Apply transpose of partition of unity operator */
1681   ierr = PCBDDCScalingExtension(pc,pcis->vec1_B,z);CHKERRQ(ierr);
1682 
1683   /* Second Dirichlet solve and assembling of output */
1684   ierr = VecScatterBegin(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1685   ierr = VecScatterEnd(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1686   if (n_B) {
1687     ierr = MatMult(pcis->A_IB,pcis->vec1_B,pcis->vec3_D);CHKERRQ(ierr);
1688     if (pcbddc->switch_static) { ierr = MatMultAdd(pcis->A_II,pcis->vec1_D,pcis->vec3_D,pcis->vec3_D);CHKERRQ(ierr); }
1689   } else if (pcbddc->switch_static) {
1690     ierr = MatMult(pcis->A_II,pcis->vec1_D,pcis->vec3_D);CHKERRQ(ierr);
1691   }
1692   ierr = KSPSolve(pcbddc->ksp_D,pcis->vec3_D,pcis->vec4_D);CHKERRQ(ierr);
1693 
1694   if (!pcbddc->use_exact_dirichlet_trick) {
1695     if (pcbddc->switch_static) {
1696       ierr = VecAXPBYPCZ(pcis->vec2_D,m_one,one,m_one,pcis->vec4_D,pcis->vec1_D);CHKERRQ(ierr);
1697     } else {
1698       ierr = VecAXPBY(pcis->vec2_D,m_one,m_one,pcis->vec4_D);CHKERRQ(ierr);
1699     }
1700     ierr = VecScatterBegin(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1701     ierr = VecScatterEnd(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1702   } else {
1703     if (pcbddc->switch_static) {
1704       ierr = VecAXPBY(pcis->vec4_D,one,m_one,pcis->vec1_D);CHKERRQ(ierr);
1705     } else {
1706       ierr = VecScale(pcis->vec4_D,m_one);CHKERRQ(ierr);
1707     }
1708     ierr = VecScatterBegin(pcis->global_to_D,pcis->vec4_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1709     ierr = VecScatterEnd(pcis->global_to_D,pcis->vec4_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1710   }
1711 
1712   if (pcbddc->benign_saddle_point) { /* set p0 (computed in PCBDDCApplyInterface) */
1713     ierr = PCBDDCBenignGetOrSetP0(pc,z,PETSC_FALSE);CHKERRQ(ierr);
1714   }
1715   PetscFunctionReturn(0);
1716 }
1717 
1718 /* -------------------------------------------------------------------------- */
1719 /*
1720    PCApplyTranspose_BDDC - Applies the transpose of the BDDC operator to a vector.
1721 
1722    Input Parameters:
1723 +  pc - the preconditioner context
1724 -  r - input vector (global)
1725 
1726    Output Parameter:
1727 .  z - output vector (global)
1728 
1729    Application Interface Routine: PCApplyTranspose()
1730  */
1731 #undef __FUNCT__
1732 #define __FUNCT__ "PCApplyTranspose_BDDC"
1733 PetscErrorCode PCApplyTranspose_BDDC(PC pc,Vec r,Vec z)
1734 {
1735   PC_IS             *pcis = (PC_IS*)(pc->data);
1736   PC_BDDC           *pcbddc = (PC_BDDC*)(pc->data);
1737   PetscInt          n_B = pcis->n_B, n_D = pcis->n - n_B;
1738   PetscErrorCode    ierr;
1739   const PetscScalar one = 1.0;
1740   const PetscScalar m_one = -1.0;
1741   const PetscScalar zero = 0.0;
1742 
1743   PetscFunctionBegin;
1744   if (pcbddc->benign_saddle_point) { /* get p0 from r */
1745     ierr = PCBDDCBenignGetOrSetP0(pc,r,PETSC_TRUE);CHKERRQ(ierr);
1746   }
1747   if (!pcbddc->use_exact_dirichlet_trick) {
1748     ierr = VecCopy(r,z);CHKERRQ(ierr);
1749     /* First Dirichlet solve */
1750     ierr = VecScatterBegin(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1751     ierr = VecScatterEnd(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1752     /*
1753       Assembling right hand side for BDDC operator
1754       - pcis->vec1_D for the Dirichlet part (if needed, i.e. pcbddc->switch_static == PETSC_TRUE)
1755       - pcis->vec1_B the interface part of the global vector z
1756     */
1757     if (n_D) {
1758       ierr = KSPSolveTranspose(pcbddc->ksp_D,pcis->vec1_D,pcis->vec2_D);CHKERRQ(ierr);
1759       ierr = VecScale(pcis->vec2_D,m_one);CHKERRQ(ierr);
1760       if (pcbddc->switch_static) { ierr = MatMultTransposeAdd(pcis->A_II,pcis->vec2_D,pcis->vec1_D,pcis->vec1_D);CHKERRQ(ierr); }
1761       ierr = MatMultTranspose(pcis->A_IB,pcis->vec2_D,pcis->vec1_B);CHKERRQ(ierr);
1762     } else {
1763       ierr = VecSet(pcis->vec1_B,zero);CHKERRQ(ierr);
1764     }
1765     ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1766     ierr = VecScatterEnd(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1767     ierr = PCBDDCScalingRestriction(pc,z,pcis->vec1_B);CHKERRQ(ierr);
1768   } else {
1769     if (pcbddc->switch_static) {
1770       ierr = VecSet(pcis->vec1_D,zero);CHKERRQ(ierr);
1771     }
1772     ierr = PCBDDCScalingRestriction(pc,r,pcis->vec1_B);CHKERRQ(ierr);
1773   }
1774 
1775   /* Apply interface preconditioner
1776      input/output vecs: pcis->vec1_B and pcis->vec1_D */
1777   ierr = PCBDDCApplyInterfacePreconditioner(pc,PETSC_TRUE);CHKERRQ(ierr);
1778 
1779   /* Apply transpose of partition of unity operator */
1780   ierr = PCBDDCScalingExtension(pc,pcis->vec1_B,z);CHKERRQ(ierr);
1781 
1782   /* Second Dirichlet solve and assembling of output */
1783   ierr = VecScatterBegin(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1784   ierr = VecScatterEnd(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1785   if (n_B) {
1786     ierr = MatMultTranspose(pcis->A_BI,pcis->vec1_B,pcis->vec3_D);CHKERRQ(ierr);
1787     if (pcbddc->switch_static) { ierr = MatMultTransposeAdd(pcis->A_II,pcis->vec1_D,pcis->vec3_D,pcis->vec3_D);CHKERRQ(ierr); }
1788   } else if (pcbddc->switch_static) {
1789     ierr = MatMultTranspose(pcis->A_II,pcis->vec1_D,pcis->vec3_D);CHKERRQ(ierr);
1790   }
1791   ierr = KSPSolveTranspose(pcbddc->ksp_D,pcis->vec3_D,pcis->vec4_D);CHKERRQ(ierr);
1792   if (!pcbddc->use_exact_dirichlet_trick) {
1793     if (pcbddc->switch_static) {
1794       ierr = VecAXPBYPCZ(pcis->vec2_D,m_one,one,m_one,pcis->vec4_D,pcis->vec1_D);CHKERRQ(ierr);
1795     } else {
1796       ierr = VecAXPBY(pcis->vec2_D,m_one,m_one,pcis->vec4_D);CHKERRQ(ierr);
1797     }
1798     ierr = VecScatterBegin(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1799     ierr = VecScatterEnd(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1800   } else {
1801     if (pcbddc->switch_static) {
1802       ierr = VecAXPBY(pcis->vec4_D,one,m_one,pcis->vec1_D);CHKERRQ(ierr);
1803     } else {
1804       ierr = VecScale(pcis->vec4_D,m_one);CHKERRQ(ierr);
1805     }
1806     ierr = VecScatterBegin(pcis->global_to_D,pcis->vec4_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1807     ierr = VecScatterEnd(pcis->global_to_D,pcis->vec4_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1808   }
1809   if (pcbddc->benign_saddle_point) { /* set p0 (computed in PCBDDCApplyInterface) */
1810     ierr = PCBDDCBenignGetOrSetP0(pc,z,PETSC_FALSE);CHKERRQ(ierr);
1811   }
1812   PetscFunctionReturn(0);
1813 }
1814 /* -------------------------------------------------------------------------- */
1815 
1816 #undef __FUNCT__
1817 #define __FUNCT__ "PCDestroy_BDDC"
1818 PetscErrorCode PCDestroy_BDDC(PC pc)
1819 {
1820   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
1821   PetscErrorCode ierr;
1822 
1823   PetscFunctionBegin;
1824   /* free data created by PCIS */
1825   ierr = PCISDestroy(pc);CHKERRQ(ierr);
1826   /* free BDDC custom data  */
1827   ierr = PCBDDCResetCustomization(pc);CHKERRQ(ierr);
1828   /* destroy objects related to topography */
1829   ierr = PCBDDCResetTopography(pc);CHKERRQ(ierr);
1830   /* free allocated graph structure */
1831   ierr = PetscFree(pcbddc->mat_graph);CHKERRQ(ierr);
1832   /* free allocated sub schurs structure */
1833   ierr = PetscFree(pcbddc->sub_schurs);CHKERRQ(ierr);
1834   /* destroy objects for scaling operator */
1835   ierr = PCBDDCScalingDestroy(pc);CHKERRQ(ierr);
1836   ierr = PetscFree(pcbddc->deluxe_ctx);CHKERRQ(ierr);
1837   /* free solvers stuff */
1838   ierr = PCBDDCResetSolvers(pc);CHKERRQ(ierr);
1839   /* free global vectors needed in presolve */
1840   ierr = VecDestroy(&pcbddc->temp_solution);CHKERRQ(ierr);
1841   ierr = VecDestroy(&pcbddc->original_rhs);CHKERRQ(ierr);
1842   /* free stuff for change of basis hooks */
1843   if (pcbddc->new_global_mat) {
1844     PCBDDCChange_ctx change_ctx;
1845     ierr = MatShellGetContext(pcbddc->new_global_mat,&change_ctx);CHKERRQ(ierr);
1846     ierr = MatDestroy(&change_ctx->original_mat);CHKERRQ(ierr);
1847     ierr = MatDestroy(&change_ctx->global_change);CHKERRQ(ierr);
1848     ierr = VecDestroyVecs(2,&change_ctx->work);CHKERRQ(ierr);
1849     ierr = PetscFree(change_ctx);CHKERRQ(ierr);
1850   }
1851   ierr = MatDestroy(&pcbddc->new_global_mat);CHKERRQ(ierr);
1852   /* remove functions */
1853   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetChangeOfBasisMat_C",NULL);CHKERRQ(ierr);
1854   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetPrimalVerticesLocalIS_C",NULL);CHKERRQ(ierr);
1855   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetPrimalVerticesIS_C",NULL);CHKERRQ(ierr);
1856   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetCoarseningRatio_C",NULL);CHKERRQ(ierr);
1857   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevel_C",NULL);CHKERRQ(ierr);
1858   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetUseExactDirichlet_C",NULL);CHKERRQ(ierr);
1859   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevels_C",NULL);CHKERRQ(ierr);
1860   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNullSpace_C",NULL);CHKERRQ(ierr);
1861   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundaries_C",NULL);CHKERRQ(ierr);
1862   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundariesLocal_C",NULL);CHKERRQ(ierr);
1863   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundaries_C",NULL);CHKERRQ(ierr);
1864   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundariesLocal_C",NULL);CHKERRQ(ierr);
1865   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundaries_C",NULL);CHKERRQ(ierr);
1866   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundariesLocal_C",NULL);CHKERRQ(ierr);
1867   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundaries_C",NULL);CHKERRQ(ierr);
1868   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundariesLocal_C",NULL);CHKERRQ(ierr);
1869   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplitting_C",NULL);CHKERRQ(ierr);
1870   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplittingLocal_C",NULL);CHKERRQ(ierr);
1871   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLocalAdjacencyGraph_C",NULL);CHKERRQ(ierr);
1872   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCCreateFETIDPOperators_C",NULL);CHKERRQ(ierr);
1873   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetRHS_C",NULL);CHKERRQ(ierr);
1874   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetSolution_C",NULL);CHKERRQ(ierr);
1875   /* Free the private data structure */
1876   ierr = PetscFree(pc->data);CHKERRQ(ierr);
1877   PetscFunctionReturn(0);
1878 }
1879 /* -------------------------------------------------------------------------- */
1880 
1881 #undef __FUNCT__
1882 #define __FUNCT__ "PCBDDCMatFETIDPGetRHS_BDDC"
1883 static PetscErrorCode PCBDDCMatFETIDPGetRHS_BDDC(Mat fetidp_mat, Vec standard_rhs, Vec fetidp_flux_rhs)
1884 {
1885   FETIDPMat_ctx  mat_ctx;
1886   Vec            copy_standard_rhs;
1887   PC_IS*         pcis;
1888   PC_BDDC*       pcbddc;
1889   PetscErrorCode ierr;
1890 
1891   PetscFunctionBegin;
1892   ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr);
1893   pcis = (PC_IS*)mat_ctx->pc->data;
1894   pcbddc = (PC_BDDC*)mat_ctx->pc->data;
1895 
1896   /*
1897      change of basis for physical rhs if needed
1898      It also changes the rhs in case of dirichlet boundaries
1899      TODO: better management when FETIDP will have its own class
1900   */
1901   ierr = VecDuplicate(standard_rhs,&copy_standard_rhs);CHKERRQ(ierr);
1902   ierr = VecCopy(standard_rhs,copy_standard_rhs);CHKERRQ(ierr);
1903   ierr = PCPreSolve_BDDC(mat_ctx->pc,NULL,copy_standard_rhs,NULL);CHKERRQ(ierr);
1904   /* store vectors for computation of fetidp final solution */
1905   ierr = VecScatterBegin(pcis->global_to_D,copy_standard_rhs,mat_ctx->temp_solution_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1906   ierr = VecScatterEnd(pcis->global_to_D,copy_standard_rhs,mat_ctx->temp_solution_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1907   /* scale rhs since it should be unassembled */
1908   /* TODO use counter scaling? (also below) */
1909   ierr = VecScatterBegin(pcis->global_to_B,copy_standard_rhs,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1910   ierr = VecScatterEnd(pcis->global_to_B,copy_standard_rhs,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1911   /* Apply partition of unity */
1912   ierr = VecPointwiseMult(mat_ctx->temp_solution_B,pcis->D,mat_ctx->temp_solution_B);CHKERRQ(ierr);
1913   /* ierr = PCBDDCScalingRestriction(mat_ctx->pc,copy_standard_rhs,mat_ctx->temp_solution_B);CHKERRQ(ierr); */
1914   if (!pcbddc->switch_static) {
1915     /* compute partially subassembled Schur complement right-hand side */
1916     ierr = KSPSolve(pcbddc->ksp_D,mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr);
1917     ierr = MatMult(pcis->A_BI,pcis->vec1_D,pcis->vec1_B);CHKERRQ(ierr);
1918     ierr = VecAXPY(mat_ctx->temp_solution_B,-1.0,pcis->vec1_B);CHKERRQ(ierr);
1919     ierr = VecSet(copy_standard_rhs,0.0);CHKERRQ(ierr);
1920     ierr = VecScatterBegin(pcis->global_to_B,mat_ctx->temp_solution_B,copy_standard_rhs,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1921     ierr = VecScatterEnd(pcis->global_to_B,mat_ctx->temp_solution_B,copy_standard_rhs,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1922     /* ierr = PCBDDCScalingRestriction(mat_ctx->pc,copy_standard_rhs,mat_ctx->temp_solution_B);CHKERRQ(ierr); */
1923     ierr = VecScatterBegin(pcis->global_to_B,copy_standard_rhs,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1924     ierr = VecScatterEnd(pcis->global_to_B,copy_standard_rhs,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1925     ierr = VecPointwiseMult(mat_ctx->temp_solution_B,pcis->D,mat_ctx->temp_solution_B);CHKERRQ(ierr);
1926   }
1927   ierr = VecDestroy(&copy_standard_rhs);CHKERRQ(ierr);
1928   /* BDDC rhs */
1929   ierr = VecCopy(mat_ctx->temp_solution_B,pcis->vec1_B);CHKERRQ(ierr);
1930   if (pcbddc->switch_static) {
1931     ierr = VecCopy(mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr);
1932   }
1933   /* apply BDDC */
1934   ierr = PCBDDCApplyInterfacePreconditioner(mat_ctx->pc,PETSC_FALSE);CHKERRQ(ierr);
1935   /* Application of B_delta and assembling of rhs for fetidp fluxes */
1936   ierr = VecSet(fetidp_flux_rhs,0.0);CHKERRQ(ierr);
1937   ierr = MatMult(mat_ctx->B_delta,pcis->vec1_B,mat_ctx->lambda_local);CHKERRQ(ierr);
1938   ierr = VecScatterBegin(mat_ctx->l2g_lambda,mat_ctx->lambda_local,fetidp_flux_rhs,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1939   ierr = VecScatterEnd(mat_ctx->l2g_lambda,mat_ctx->lambda_local,fetidp_flux_rhs,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1940   PetscFunctionReturn(0);
1941 }
1942 
1943 #undef __FUNCT__
1944 #define __FUNCT__ "PCBDDCMatFETIDPGetRHS"
1945 /*@
1946  PCBDDCMatFETIDPGetRHS - Compute the right-hand side for FETI-DP linear system using the physical right-hand side
1947 
1948    Collective
1949 
1950    Input Parameters:
1951 +  fetidp_mat      - the FETI-DP matrix object obtained by a call to PCBDDCCreateFETIDPOperators
1952 -  standard_rhs    - the right-hand side of the original linear system
1953 
1954    Output Parameters:
1955 .  fetidp_flux_rhs - the right-hand side for the FETI-DP linear system
1956 
1957    Level: developer
1958 
1959    Notes:
1960 
1961 .seealso: PCBDDC, PCBDDCCreateFETIDPOperators, PCBDDCMatFETIDPGetSolution
1962 @*/
1963 PetscErrorCode PCBDDCMatFETIDPGetRHS(Mat fetidp_mat, Vec standard_rhs, Vec fetidp_flux_rhs)
1964 {
1965   FETIDPMat_ctx  mat_ctx;
1966   PetscErrorCode ierr;
1967 
1968   PetscFunctionBegin;
1969   ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr);
1970   ierr = PetscTryMethod(mat_ctx->pc,"PCBDDCMatFETIDPGetRHS_C",(Mat,Vec,Vec),(fetidp_mat,standard_rhs,fetidp_flux_rhs));CHKERRQ(ierr);
1971   PetscFunctionReturn(0);
1972 }
1973 /* -------------------------------------------------------------------------- */
1974 
1975 #undef __FUNCT__
1976 #define __FUNCT__ "PCBDDCMatFETIDPGetSolution_BDDC"
1977 static PetscErrorCode PCBDDCMatFETIDPGetSolution_BDDC(Mat fetidp_mat, Vec fetidp_flux_sol, Vec standard_sol)
1978 {
1979   FETIDPMat_ctx  mat_ctx;
1980   PC_IS*         pcis;
1981   PC_BDDC*       pcbddc;
1982   PetscErrorCode ierr;
1983 
1984   PetscFunctionBegin;
1985   ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr);
1986   pcis = (PC_IS*)mat_ctx->pc->data;
1987   pcbddc = (PC_BDDC*)mat_ctx->pc->data;
1988 
1989   /* apply B_delta^T */
1990   ierr = VecScatterBegin(mat_ctx->l2g_lambda,fetidp_flux_sol,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1991   ierr = VecScatterEnd  (mat_ctx->l2g_lambda,fetidp_flux_sol,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1992   ierr = MatMultTranspose(mat_ctx->B_delta,mat_ctx->lambda_local,pcis->vec1_B);CHKERRQ(ierr);
1993   /* compute rhs for BDDC application */
1994   ierr = VecAYPX(pcis->vec1_B,-1.0,mat_ctx->temp_solution_B);CHKERRQ(ierr);
1995   if (pcbddc->switch_static) {
1996     ierr = VecCopy(mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr);
1997   }
1998   /* apply BDDC */
1999   ierr = PCBDDCApplyInterfacePreconditioner(mat_ctx->pc,PETSC_FALSE);CHKERRQ(ierr);
2000   /* put values into standard global vector */
2001   ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_B,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2002   ierr = VecScatterEnd  (pcis->global_to_B,pcis->vec1_B,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2003   if (!pcbddc->switch_static) {
2004     /* compute values into the interior if solved for the partially subassembled Schur complement */
2005     ierr = MatMult(pcis->A_IB,pcis->vec1_B,pcis->vec1_D);CHKERRQ(ierr);
2006     ierr = VecAXPY(mat_ctx->temp_solution_D,-1.0,pcis->vec1_D);CHKERRQ(ierr);
2007     ierr = KSPSolve(pcbddc->ksp_D,mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr);
2008   }
2009   ierr = VecScatterBegin(pcis->global_to_D,pcis->vec1_D,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2010   ierr = VecScatterEnd  (pcis->global_to_D,pcis->vec1_D,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
2011   /* final change of basis if needed
2012      Is also sums the dirichlet part removed during RHS assembling */
2013   ierr = PCPostSolve_BDDC(mat_ctx->pc,NULL,NULL,standard_sol);CHKERRQ(ierr);
2014   PetscFunctionReturn(0);
2015 }
2016 
2017 #undef __FUNCT__
2018 #define __FUNCT__ "PCBDDCMatFETIDPGetSolution"
2019 /*@
2020  PCBDDCMatFETIDPGetSolution - Compute the physical solution using the solution of the FETI-DP linear system
2021 
2022    Collective
2023 
2024    Input Parameters:
2025 +  fetidp_mat      - the FETI-DP matrix obtained by a call to PCBDDCCreateFETIDPOperators
2026 -  fetidp_flux_sol - the solution of the FETI-DP linear system
2027 
2028    Output Parameters:
2029 .  standard_sol    - the solution defined on the physical domain
2030 
2031    Level: developer
2032 
2033    Notes:
2034 
2035 .seealso: PCBDDC, PCBDDCCreateFETIDPOperators, PCBDDCMatFETIDPGetRHS
2036 @*/
2037 PetscErrorCode PCBDDCMatFETIDPGetSolution(Mat fetidp_mat, Vec fetidp_flux_sol, Vec standard_sol)
2038 {
2039   FETIDPMat_ctx  mat_ctx;
2040   PetscErrorCode ierr;
2041 
2042   PetscFunctionBegin;
2043   ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr);
2044   ierr = PetscTryMethod(mat_ctx->pc,"PCBDDCMatFETIDPGetSolution_C",(Mat,Vec,Vec),(fetidp_mat,fetidp_flux_sol,standard_sol));CHKERRQ(ierr);
2045   PetscFunctionReturn(0);
2046 }
2047 /* -------------------------------------------------------------------------- */
2048 
2049 extern PetscErrorCode FETIDPMatMult(Mat,Vec,Vec);
2050 extern PetscErrorCode FETIDPMatMultTranspose(Mat,Vec,Vec);
2051 extern PetscErrorCode PCBDDCDestroyFETIDPMat(Mat);
2052 extern PetscErrorCode FETIDPPCApply(PC,Vec,Vec);
2053 extern PetscErrorCode FETIDPPCApplyTranspose(PC,Vec,Vec);
2054 extern PetscErrorCode PCBDDCDestroyFETIDPPC(PC);
2055 
2056 #undef __FUNCT__
2057 #define __FUNCT__ "PCBDDCCreateFETIDPOperators_BDDC"
2058 static PetscErrorCode PCBDDCCreateFETIDPOperators_BDDC(PC pc, Mat *fetidp_mat, PC *fetidp_pc)
2059 {
2060 
2061   FETIDPMat_ctx  fetidpmat_ctx;
2062   Mat            newmat;
2063   FETIDPPC_ctx   fetidppc_ctx;
2064   PC             newpc;
2065   MPI_Comm       comm;
2066   PetscErrorCode ierr;
2067 
2068   PetscFunctionBegin;
2069   ierr = PetscObjectGetComm((PetscObject)pc,&comm);CHKERRQ(ierr);
2070   /* FETIDP linear matrix */
2071   ierr = PCBDDCCreateFETIDPMatContext(pc,&fetidpmat_ctx);CHKERRQ(ierr);
2072   ierr = PCBDDCSetupFETIDPMatContext(fetidpmat_ctx);CHKERRQ(ierr);
2073   ierr = MatCreateShell(comm,PETSC_DECIDE,PETSC_DECIDE,fetidpmat_ctx->n_lambda,fetidpmat_ctx->n_lambda,fetidpmat_ctx,&newmat);CHKERRQ(ierr);
2074   ierr = MatShellSetOperation(newmat,MATOP_MULT,(void (*)(void))FETIDPMatMult);CHKERRQ(ierr);
2075   ierr = MatShellSetOperation(newmat,MATOP_MULT_TRANSPOSE,(void (*)(void))FETIDPMatMultTranspose);CHKERRQ(ierr);
2076   ierr = MatShellSetOperation(newmat,MATOP_DESTROY,(void (*)(void))PCBDDCDestroyFETIDPMat);CHKERRQ(ierr);
2077   ierr = MatSetUp(newmat);CHKERRQ(ierr);
2078   /* FETIDP preconditioner */
2079   ierr = PCBDDCCreateFETIDPPCContext(pc,&fetidppc_ctx);CHKERRQ(ierr);
2080   ierr = PCBDDCSetupFETIDPPCContext(newmat,fetidppc_ctx);CHKERRQ(ierr);
2081   ierr = PCCreate(comm,&newpc);CHKERRQ(ierr);
2082   ierr = PCSetType(newpc,PCSHELL);CHKERRQ(ierr);
2083   ierr = PCShellSetContext(newpc,fetidppc_ctx);CHKERRQ(ierr);
2084   ierr = PCShellSetApply(newpc,FETIDPPCApply);CHKERRQ(ierr);
2085   ierr = PCShellSetApplyTranspose(newpc,FETIDPPCApplyTranspose);CHKERRQ(ierr);
2086   ierr = PCShellSetDestroy(newpc,PCBDDCDestroyFETIDPPC);CHKERRQ(ierr);
2087   ierr = PCSetOperators(newpc,newmat,newmat);CHKERRQ(ierr);
2088   ierr = PCSetUp(newpc);CHKERRQ(ierr);
2089   /* return pointers for objects created */
2090   *fetidp_mat=newmat;
2091   *fetidp_pc=newpc;
2092   PetscFunctionReturn(0);
2093 }
2094 
2095 #undef __FUNCT__
2096 #define __FUNCT__ "PCBDDCCreateFETIDPOperators"
2097 /*@
2098  PCBDDCCreateFETIDPOperators - Create FETI-DP operators
2099 
2100    Collective
2101 
2102    Input Parameters:
2103 .  pc - the BDDC preconditioning context (setup should have been called before)
2104 
2105    Output Parameters:
2106 +  fetidp_mat - shell FETI-DP matrix object
2107 -  fetidp_pc  - shell Dirichlet preconditioner for FETI-DP matrix
2108 
2109    Options Database Keys:
2110 .    -fetidp_fullyredundant <false> - use or not a fully redundant set of Lagrange multipliers
2111 
2112    Level: developer
2113 
2114    Notes:
2115      Currently the only operations provided for FETI-DP matrix are MatMult and MatMultTranspose
2116 
2117 .seealso: PCBDDC, PCBDDCMatFETIDPGetRHS, PCBDDCMatFETIDPGetSolution
2118 @*/
2119 PetscErrorCode PCBDDCCreateFETIDPOperators(PC pc, Mat *fetidp_mat, PC *fetidp_pc)
2120 {
2121   PetscErrorCode ierr;
2122 
2123   PetscFunctionBegin;
2124   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
2125   if (pc->setupcalled) {
2126     ierr = PetscUseMethod(pc,"PCBDDCCreateFETIDPOperators_C",(PC,Mat*,PC*),(pc,fetidp_mat,fetidp_pc));CHKERRQ(ierr);
2127   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"You must call PCSetup_BDDC() first \n");
2128   PetscFunctionReturn(0);
2129 }
2130 /* -------------------------------------------------------------------------- */
2131 /*MC
2132    PCBDDC - Balancing Domain Decomposition by Constraints.
2133 
2134    An implementation of the BDDC preconditioner based on
2135 
2136 .vb
2137    [1] C. R. Dohrmann. "An approximate BDDC preconditioner", Numerical Linear Algebra with Applications Volume 14, Issue 2, pages 149-168, March 2007
2138    [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
2139    [3] J. Mandel, B. Sousedik, C. R. Dohrmann. "Multispace and Multilevel BDDC", http://arxiv.org/abs/0712.3977
2140    [4] C. Pechstein and C. R. Dohrmann. "Modern domain decomposition methods BDDC, deluxe scaling, and an algebraic approach", Seminar talk, Linz, December 2013, http://people.ricam.oeaw.ac.at/c.pechstein/pechstein-bddc2013.pdf
2141 .ve
2142 
2143    The matrix to be preconditioned (Pmat) must be of type MATIS.
2144 
2145    Currently works with MATIS matrices with local matrices of type MATSEQAIJ, MATSEQBAIJ or MATSEQSBAIJ, either with real or complex numbers.
2146 
2147    It also works with unsymmetric and indefinite problems.
2148 
2149    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.
2150 
2151    Approximate local solvers are automatically adapted for singular linear problems (see [1]) if the user has provided the nullspace using PCBDDCSetNullSpace()
2152 
2153    Boundary nodes are split in vertices, edges and faces classes using information from the local to global mapping of dofs and the local connectivity graph of nodes. The latter can be customized by using PCBDDCSetLocalAdjacencyGraph()
2154    Additional information on dofs can be provided by using PCBDDCSetDofsSplitting(), PCBDDCSetDirichletBoundaries(), PCBDDCSetNeumannBoundaries(), and PCBDDCSetPrimalVerticesIS() and their local counterparts.
2155 
2156    Constraints can be customized by attaching a MatNullSpace object to the MATIS matrix via MatSetNearNullSpace(). Non-singular modes are retained via SVD.
2157 
2158    Change of basis is performed similarly to [2] when requested. When more than one constraint is present on a single connected component (i.e. an edge or a face), a robust method based on local QR factorizations is used.
2159    User defined change of basis can be passed to PCBDDC by using PCBDDCSetChangeOfBasisMat()
2160 
2161    The PETSc implementation also supports multilevel BDDC [3]. Coarse grids are partitioned using a MatPartitioning object.
2162 
2163    Adaptive selection of primal constraints [4] is supported for SPD systems with high-contrast in the coefficients if MUMPS is present. Future versions of the code will also consider using MKL_PARDISO or PASTIX.
2164 
2165    An experimental interface to the FETI-DP method is available. FETI-DP operators could be created using PCBDDCCreateFETIDPOperators(). A stand-alone class for the FETI-DP method will be provided in the next releases.
2166    Deluxe scaling is not supported yet for FETI-DP.
2167 
2168    Options Database Keys (some of them, run with -h for a complete list):
2169 
2170 .    -pc_bddc_use_vertices <true> - use or not vertices in primal space
2171 .    -pc_bddc_use_edges <true> - use or not edges in primal space
2172 .    -pc_bddc_use_faces <false> - use or not faces in primal space
2173 .    -pc_bddc_symmetric <true> - symmetric computation of primal basis functions. Specify false for unsymmetric problems
2174 .    -pc_bddc_use_change_of_basis <false> - use change of basis approach (on edges only)
2175 .    -pc_bddc_use_change_on_faces <false> - use change of basis approach on faces if change of basis has been requested
2176 .    -pc_bddc_switch_static <false> - switches from M_2 (default) to M_3 operator (see reference article [1])
2177 .    -pc_bddc_levels <0> - maximum number of levels for multilevel
2178 .    -pc_bddc_coarsening_ratio <8> - number of subdomains which will be aggregated together at the coarser level (e.g. H/h ratio at the coarser level, significative only in the multilevel case)
2179 .    -pc_bddc_redistribute <0> - size of a subset of processors where the coarse problem will be remapped (the value is ignored if not at the coarsest level)
2180 .    -pc_bddc_use_deluxe_scaling <false> - use deluxe scaling
2181 .    -pc_bddc_schur_layers <-1> - select the economic version of deluxe scaling by specifying the number of layers (-1 corresponds to the original deluxe scaling)
2182 .    -pc_bddc_adaptive_threshold <0.0> - when a value greater than one is specified, adaptive selection of constraints is performed on edges and faces (requires deluxe scaling and MUMPS installed)
2183 -    -pc_bddc_check_level <0> - set verbosity level of debugging output
2184 
2185    Options for Dirichlet, Neumann or coarse solver can be set with
2186 .vb
2187       -pc_bddc_dirichlet_
2188       -pc_bddc_neumann_
2189       -pc_bddc_coarse_
2190 .ve
2191    e.g -pc_bddc_dirichlet_ksp_type richardson -pc_bddc_dirichlet_pc_type gamg. PCBDDC uses by default KPSPREONLY and PCLU.
2192 
2193    When using a multilevel approach, solvers' options at the N-th level (N > 1) can be specified as
2194 .vb
2195       -pc_bddc_dirichlet_lN_
2196       -pc_bddc_neumann_lN_
2197       -pc_bddc_coarse_lN_
2198 .ve
2199    Note that level number ranges from the finest (0) to the coarsest (N).
2200    In order to specify options for the BDDC operators at the coarser levels (and not for the solvers), prepend -pc_bddc_coarse_ or -pc_bddc_coarse_l to the option, e.g.
2201 .vb
2202      -pc_bddc_coarse_pc_bddc_adaptive_threshold 5 -pc_bddc_coarse_l1_pc_bddc_redistribute 3
2203 .ve
2204    will use a threshold of 5 for constraints' selection at the first coarse level and will redistribute the coarse problem of the first coarse level on 3 processors
2205 
2206    Level: intermediate
2207 
2208    Developer notes:
2209 
2210    Contributed by Stefano Zampini
2211 
2212 .seealso:  PCCreate(), PCSetType(), PCType (for list of available types), PC,  MATIS
2213 M*/
2214 
2215 #undef __FUNCT__
2216 #define __FUNCT__ "PCCreate_BDDC"
2217 PETSC_EXTERN PetscErrorCode PCCreate_BDDC(PC pc)
2218 {
2219   PetscErrorCode      ierr;
2220   PC_BDDC             *pcbddc;
2221 
2222   PetscFunctionBegin;
2223   /* Creates the private data structure for this preconditioner and attach it to the PC object. */
2224   ierr      = PetscNewLog(pc,&pcbddc);CHKERRQ(ierr);
2225   pc->data  = (void*)pcbddc;
2226 
2227   /* create PCIS data structure */
2228   ierr = PCISCreate(pc);CHKERRQ(ierr);
2229 
2230   /* BDDC customization */
2231   pcbddc->use_local_adj       = PETSC_TRUE;
2232   pcbddc->use_vertices        = PETSC_TRUE;
2233   pcbddc->use_edges           = PETSC_TRUE;
2234   pcbddc->use_faces           = PETSC_FALSE;
2235   pcbddc->use_change_of_basis = PETSC_FALSE;
2236   pcbddc->use_change_on_faces = PETSC_FALSE;
2237   pcbddc->switch_static       = PETSC_FALSE;
2238   pcbddc->use_nnsp_true       = PETSC_FALSE;
2239   pcbddc->use_qr_single       = PETSC_FALSE;
2240   pcbddc->symmetric_primal    = PETSC_TRUE;
2241   pcbddc->benign_saddle_point = PETSC_FALSE;
2242   pcbddc->dbg_flag            = 0;
2243   /* private */
2244   pcbddc->local_primal_size          = 0;
2245   pcbddc->local_primal_size_cc       = 0;
2246   pcbddc->local_primal_ref_node      = 0;
2247   pcbddc->local_primal_ref_mult      = 0;
2248   pcbddc->n_vertices                 = 0;
2249   pcbddc->primal_indices_local_idxs  = 0;
2250   pcbddc->recompute_topography       = PETSC_FALSE;
2251   pcbddc->coarse_size                = -1;
2252   pcbddc->new_primal_space           = PETSC_FALSE;
2253   pcbddc->new_primal_space_local     = PETSC_FALSE;
2254   pcbddc->global_primal_indices      = 0;
2255   pcbddc->onearnullspace             = 0;
2256   pcbddc->onearnullvecs_state        = 0;
2257   pcbddc->user_primal_vertices       = 0;
2258   pcbddc->user_primal_vertices_local = 0;
2259   pcbddc->NullSpace                  = 0;
2260   pcbddc->temp_solution              = 0;
2261   pcbddc->original_rhs               = 0;
2262   pcbddc->local_mat                  = 0;
2263   pcbddc->ChangeOfBasisMatrix        = 0;
2264   pcbddc->user_ChangeOfBasisMatrix   = 0;
2265   pcbddc->new_global_mat             = 0;
2266   pcbddc->coarse_vec                 = 0;
2267   pcbddc->coarse_ksp                 = 0;
2268   pcbddc->coarse_phi_B               = 0;
2269   pcbddc->coarse_phi_D               = 0;
2270   pcbddc->coarse_psi_B               = 0;
2271   pcbddc->coarse_psi_D               = 0;
2272   pcbddc->vec1_P                     = 0;
2273   pcbddc->vec1_R                     = 0;
2274   pcbddc->vec2_R                     = 0;
2275   pcbddc->local_auxmat1              = 0;
2276   pcbddc->local_auxmat2              = 0;
2277   pcbddc->R_to_B                     = 0;
2278   pcbddc->R_to_D                     = 0;
2279   pcbddc->ksp_D                      = 0;
2280   pcbddc->ksp_R                      = 0;
2281   pcbddc->NeumannBoundaries          = 0;
2282   pcbddc->NeumannBoundariesLocal     = 0;
2283   pcbddc->DirichletBoundaries        = 0;
2284   pcbddc->DirichletBoundariesLocal   = 0;
2285   pcbddc->user_provided_isfordofs    = PETSC_FALSE;
2286   pcbddc->n_ISForDofs                = 0;
2287   pcbddc->n_ISForDofsLocal           = 0;
2288   pcbddc->ISForDofs                  = 0;
2289   pcbddc->ISForDofsLocal             = 0;
2290   pcbddc->ConstraintMatrix           = 0;
2291   pcbddc->use_exact_dirichlet_trick  = PETSC_TRUE;
2292   pcbddc->coarse_loc_to_glob         = 0;
2293   pcbddc->coarsening_ratio           = 8;
2294   pcbddc->coarse_adj_red             = 0;
2295   pcbddc->current_level              = 0;
2296   pcbddc->max_levels                 = 0;
2297   pcbddc->use_coarse_estimates       = PETSC_FALSE;
2298   pcbddc->redistribute_coarse        = 0;
2299   pcbddc->coarse_subassembling       = 0;
2300   pcbddc->coarse_subassembling_init  = 0;
2301   pcbddc->detect_disconnected        = PETSC_FALSE;
2302   pcbddc->n_local_subs               = 0;
2303   pcbddc->local_subs                 = NULL;
2304 
2305   /* benign subspace trick */
2306   pcbddc->benign_change              = 0;
2307   pcbddc->benign_vec                 = 0;
2308   pcbddc->benign_original_mat        = 0;
2309   pcbddc->benign_sf                  = 0;
2310   pcbddc->benign_B0                  = 0;
2311   pcbddc->benign_n                   = 0;
2312   pcbddc->benign_p0                  = NULL;
2313   pcbddc->benign_p0_lidx             = NULL;
2314   pcbddc->benign_p0_gidx             = NULL;
2315   pcbddc->benign_null                = PETSC_FALSE;
2316 
2317   /* create local graph structure */
2318   ierr = PCBDDCGraphCreate(&pcbddc->mat_graph);CHKERRQ(ierr);
2319 
2320   /* scaling */
2321   pcbddc->work_scaling          = 0;
2322   pcbddc->use_deluxe_scaling    = PETSC_FALSE;
2323   pcbddc->faster_deluxe         = PETSC_FALSE;
2324 
2325   /* create sub schurs structure */
2326   ierr = PCBDDCSubSchursCreate(&pcbddc->sub_schurs);CHKERRQ(ierr);
2327   pcbddc->sub_schurs_rebuild     = PETSC_FALSE;
2328   pcbddc->sub_schurs_layers      = -1;
2329   pcbddc->sub_schurs_use_useradj = PETSC_FALSE;
2330 
2331   pcbddc->computed_rowadj = PETSC_FALSE;
2332 
2333   /* adaptivity */
2334   pcbddc->adaptive_threshold      = 0.0;
2335   pcbddc->adaptive_nmax           = 0;
2336   pcbddc->adaptive_nmin           = 0;
2337 
2338   /* function pointers */
2339   pc->ops->apply               = PCApply_BDDC;
2340   pc->ops->applytranspose      = PCApplyTranspose_BDDC;
2341   pc->ops->setup               = PCSetUp_BDDC;
2342   pc->ops->destroy             = PCDestroy_BDDC;
2343   pc->ops->setfromoptions      = PCSetFromOptions_BDDC;
2344   pc->ops->view                = 0;
2345   pc->ops->applyrichardson     = 0;
2346   pc->ops->applysymmetricleft  = 0;
2347   pc->ops->applysymmetricright = 0;
2348   pc->ops->presolve            = PCPreSolve_BDDC;
2349   pc->ops->postsolve           = PCPostSolve_BDDC;
2350 
2351   /* composing function */
2352   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetChangeOfBasisMat_C",PCBDDCSetChangeOfBasisMat_BDDC);CHKERRQ(ierr);
2353   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetPrimalVerticesLocalIS_C",PCBDDCSetPrimalVerticesLocalIS_BDDC);CHKERRQ(ierr);
2354   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetPrimalVerticesIS_C",PCBDDCSetPrimalVerticesIS_BDDC);CHKERRQ(ierr);
2355   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetCoarseningRatio_C",PCBDDCSetCoarseningRatio_BDDC);CHKERRQ(ierr);
2356   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevel_C",PCBDDCSetLevel_BDDC);CHKERRQ(ierr);
2357   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetUseExactDirichlet_C",PCBDDCSetUseExactDirichlet_BDDC);CHKERRQ(ierr);
2358   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevels_C",PCBDDCSetLevels_BDDC);CHKERRQ(ierr);
2359   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNullSpace_C",PCBDDCSetNullSpace_BDDC);CHKERRQ(ierr);
2360   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundaries_C",PCBDDCSetDirichletBoundaries_BDDC);CHKERRQ(ierr);
2361   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundariesLocal_C",PCBDDCSetDirichletBoundariesLocal_BDDC);CHKERRQ(ierr);
2362   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundaries_C",PCBDDCSetNeumannBoundaries_BDDC);CHKERRQ(ierr);
2363   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundariesLocal_C",PCBDDCSetNeumannBoundariesLocal_BDDC);CHKERRQ(ierr);
2364   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundaries_C",PCBDDCGetDirichletBoundaries_BDDC);CHKERRQ(ierr);
2365   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundariesLocal_C",PCBDDCGetDirichletBoundariesLocal_BDDC);CHKERRQ(ierr);
2366   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundaries_C",PCBDDCGetNeumannBoundaries_BDDC);CHKERRQ(ierr);
2367   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundariesLocal_C",PCBDDCGetNeumannBoundariesLocal_BDDC);CHKERRQ(ierr);
2368   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplitting_C",PCBDDCSetDofsSplitting_BDDC);CHKERRQ(ierr);
2369   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplittingLocal_C",PCBDDCSetDofsSplittingLocal_BDDC);CHKERRQ(ierr);
2370   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLocalAdjacencyGraph_C",PCBDDCSetLocalAdjacencyGraph_BDDC);CHKERRQ(ierr);
2371   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCCreateFETIDPOperators_C",PCBDDCCreateFETIDPOperators_BDDC);CHKERRQ(ierr);
2372   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetRHS_C",PCBDDCMatFETIDPGetRHS_BDDC);CHKERRQ(ierr);
2373   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetSolution_C",PCBDDCMatFETIDPGetSolution_BDDC);CHKERRQ(ierr);
2374   PetscFunctionReturn(0);
2375 }
2376 
2377