xref: /petsc/src/ksp/pc/impls/bddc/bddc.c (revision c263805a1cacb71186fda75e31729c348d96ca57)
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 /* -------------------------------------------------------------------------- */
30 #undef __FUNCT__
31 #define __FUNCT__ "PCSetFromOptions_BDDC"
32 PetscErrorCode PCSetFromOptions_BDDC(PetscOptions *PetscOptionsObject,PC pc)
33 {
34   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
35   PetscErrorCode ierr;
36 
37   PetscFunctionBegin;
38   ierr = PetscOptionsHead(PetscOptionsObject,"BDDC options");CHKERRQ(ierr);
39   /* Verbose debugging */
40   ierr = PetscOptionsInt("-pc_bddc_check_level","Verbose output for PCBDDC (intended for debug)","none",pcbddc->dbg_flag,&pcbddc->dbg_flag,NULL);CHKERRQ(ierr);
41   /* Primal space cumstomization */
42   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);
43   ierr = PetscOptionsBool("-pc_bddc_use_vertices","Use or not corner dofs in coarse space","none",pcbddc->use_vertices,&pcbddc->use_vertices,NULL);CHKERRQ(ierr);
44   ierr = PetscOptionsBool("-pc_bddc_use_edges","Use or not edge constraints in coarse space","none",pcbddc->use_edges,&pcbddc->use_edges,NULL);CHKERRQ(ierr);
45   ierr = PetscOptionsBool("-pc_bddc_use_faces","Use or not face constraints in coarse space","none",pcbddc->use_faces,&pcbddc->use_faces,NULL);CHKERRQ(ierr);
46   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);
47   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);
48   /* Change of basis */
49   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);
50   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);
51   if (!pcbddc->use_change_of_basis) {
52     pcbddc->use_change_on_faces = PETSC_FALSE;
53   }
54   /* Switch between M_2 (default) and M_3 preconditioners (as defined by C. Dohrmann in the ref. article) */
55   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);
56   ierr = PetscOptionsInt("-pc_bddc_coarse_redistribute","Number of procs where to redistribute coarse problem","none",pcbddc->redistribute_coarse,&pcbddc->redistribute_coarse,NULL);CHKERRQ(ierr);
57   ierr = PetscOptionsInt("-pc_bddc_coarsening_ratio","Set coarsening ratio used in multilevel coarsening","none",pcbddc->coarsening_ratio,&pcbddc->coarsening_ratio,NULL);CHKERRQ(ierr);
58   ierr = PetscOptionsInt("-pc_bddc_levels","Set maximum number of levels for multilevel","none",pcbddc->max_levels,&pcbddc->max_levels,NULL);CHKERRQ(ierr);
59   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);
60   ierr = PetscOptionsBool("-pc_bddc_use_deluxe_scaling","Use deluxe scaling for BDDC","none",pcbddc->use_deluxe_scaling,&pcbddc->use_deluxe_scaling,NULL);CHKERRQ(ierr);
61   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);
62   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);
63   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);
64   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);
65   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);
66   ierr = PetscOptionsInt("-pc_bddc_adaptive_nmin","Minimum number of constraints per connected components","none",pcbddc->adaptive_nmin,&pcbddc->adaptive_nmin,NULL);CHKERRQ(ierr);
67   ierr = PetscOptionsInt("-pc_bddc_adaptive_nmax","Maximum number of constraints per connected components","none",pcbddc->adaptive_nmax,&pcbddc->adaptive_nmax,NULL);CHKERRQ(ierr);
68   ierr = PetscOptionsBool("-pc_bddc_symmetric","Symmetric computation of primal basis functions","none",pcbddc->symmetric_primal,&pcbddc->symmetric_primal,NULL);CHKERRQ(ierr);
69   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);
70   ierr = PetscOptionsBool("-pc_bddc_saddle_point","Apply the benign subspace trick","none",pcbddc->saddle_point,&pcbddc->saddle_point,NULL);CHKERRQ(ierr);
71   ierr = PetscOptionsTail();CHKERRQ(ierr);
72   PetscFunctionReturn(0);
73 }
74 /* -------------------------------------------------------------------------- */
75 #undef __FUNCT__
76 #define __FUNCT__ "PCBDDCSetChangeOfBasisMat_BDDC"
77 static PetscErrorCode PCBDDCSetChangeOfBasisMat_BDDC(PC pc, Mat change)
78 {
79   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
80   PetscErrorCode ierr;
81 
82   PetscFunctionBegin;
83   ierr = MatDestroy(&pcbddc->user_ChangeOfBasisMatrix);CHKERRQ(ierr);
84   ierr = PetscObjectReference((PetscObject)change);CHKERRQ(ierr);
85   pcbddc->user_ChangeOfBasisMatrix = change;
86   PetscFunctionReturn(0);
87 }
88 #undef __FUNCT__
89 #define __FUNCT__ "PCBDDCSetChangeOfBasisMat"
90 /*@
91  PCBDDCSetChangeOfBasisMat - Set user defined change of basis for dofs
92 
93    Collective on PC
94 
95    Input Parameters:
96 +  pc - the preconditioning context
97 -  change - the change of basis matrix
98 
99    Level: intermediate
100 
101    Notes:
102 
103 .seealso: PCBDDC
104 @*/
105 PetscErrorCode PCBDDCSetChangeOfBasisMat(PC pc, Mat change)
106 {
107   PetscErrorCode ierr;
108 
109   PetscFunctionBegin;
110   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
111   PetscValidHeaderSpecific(change,MAT_CLASSID,2);
112   PetscCheckSameComm(pc,1,change,2);
113   if (pc->mat) {
114     PetscInt rows_c,cols_c,rows,cols;
115     ierr = MatGetSize(pc->mat,&rows,&cols);CHKERRQ(ierr);
116     ierr = MatGetSize(change,&rows_c,&cols_c);CHKERRQ(ierr);
117     if (rows_c != rows) {
118       SETERRQ2(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Invalid number of rows for change of basis matrix! %d != %d",rows_c,rows);
119     }
120     if (cols_c != cols) {
121       SETERRQ2(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Invalid number of columns for change of basis matrix! %d != %d",cols_c,cols);
122     }
123     ierr = MatGetLocalSize(pc->mat,&rows,&cols);CHKERRQ(ierr);
124     ierr = MatGetLocalSize(change,&rows_c,&cols_c);CHKERRQ(ierr);
125     if (rows_c != rows) {
126       SETERRQ2(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Invalid number of local rows for change of basis matrix! %d != %d",rows_c,rows);
127     }
128     if (cols_c != cols) {
129       SETERRQ2(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Invalid number of local columns for change of basis matrix! %d != %d",cols_c,cols);
130     }
131   }
132   ierr = PetscTryMethod(pc,"PCBDDCSetChangeOfBasisMat_C",(PC,Mat),(pc,change));CHKERRQ(ierr);
133   PetscFunctionReturn(0);
134 }
135 /* -------------------------------------------------------------------------- */
136 #undef __FUNCT__
137 #define __FUNCT__ "PCBDDCSetPrimalVerticesLocalIS_BDDC"
138 static PetscErrorCode PCBDDCSetPrimalVerticesLocalIS_BDDC(PC pc, IS PrimalVertices)
139 {
140   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
141   PetscErrorCode ierr;
142 
143   PetscFunctionBegin;
144   ierr = ISDestroy(&pcbddc->user_primal_vertices);CHKERRQ(ierr);
145   ierr = PetscObjectReference((PetscObject)PrimalVertices);CHKERRQ(ierr);
146   pcbddc->user_primal_vertices = PrimalVertices;
147   PetscFunctionReturn(0);
148 }
149 #undef __FUNCT__
150 #define __FUNCT__ "PCBDDCSetPrimalVerticesLocalIS"
151 /*@
152  PCBDDCSetPrimalVerticesLocalIS - Set additional user defined primal vertices in PCBDDC
153 
154    Collective
155 
156    Input Parameters:
157 +  pc - the preconditioning context
158 -  PrimalVertices - index set of primal vertices in local numbering (can be empty)
159 
160    Level: intermediate
161 
162    Notes:
163 
164 .seealso: PCBDDC
165 @*/
166 PetscErrorCode PCBDDCSetPrimalVerticesLocalIS(PC pc, IS PrimalVertices)
167 {
168   PetscErrorCode ierr;
169 
170   PetscFunctionBegin;
171   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
172   PetscValidHeaderSpecific(PrimalVertices,IS_CLASSID,2);
173   PetscCheckSameComm(pc,1,PrimalVertices,2);
174   ierr = PetscTryMethod(pc,"PCBDDCSetPrimalVerticesLocalIS_C",(PC,IS),(pc,PrimalVertices));CHKERRQ(ierr);
175   PetscFunctionReturn(0);
176 }
177 /* -------------------------------------------------------------------------- */
178 #undef __FUNCT__
179 #define __FUNCT__ "PCBDDCSetCoarseningRatio_BDDC"
180 static PetscErrorCode PCBDDCSetCoarseningRatio_BDDC(PC pc,PetscInt k)
181 {
182   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
183 
184   PetscFunctionBegin;
185   pcbddc->coarsening_ratio = k;
186   PetscFunctionReturn(0);
187 }
188 
189 #undef __FUNCT__
190 #define __FUNCT__ "PCBDDCSetCoarseningRatio"
191 /*@
192  PCBDDCSetCoarseningRatio - Set coarsening ratio used in multilevel
193 
194    Logically collective on PC
195 
196    Input Parameters:
197 +  pc - the preconditioning context
198 -  k - coarsening ratio (H/h at the coarser level)
199 
200    Options Database Keys:
201 .    -pc_bddc_coarsening_ratio
202 
203    Level: intermediate
204 
205    Notes:
206      Approximatively k subdomains at the finer level will be aggregated into a single subdomain at the coarser level
207 
208 .seealso: PCBDDC, PCBDDCSetLevels()
209 @*/
210 PetscErrorCode PCBDDCSetCoarseningRatio(PC pc,PetscInt k)
211 {
212   PetscErrorCode ierr;
213 
214   PetscFunctionBegin;
215   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
216   PetscValidLogicalCollectiveInt(pc,k,2);
217   ierr = PetscTryMethod(pc,"PCBDDCSetCoarseningRatio_C",(PC,PetscInt),(pc,k));CHKERRQ(ierr);
218   PetscFunctionReturn(0);
219 }
220 
221 /* The following functions (PCBDDCSetUseExactDirichlet PCBDDCSetLevel) are not public */
222 #undef __FUNCT__
223 #define __FUNCT__ "PCBDDCSetUseExactDirichlet_BDDC"
224 static PetscErrorCode PCBDDCSetUseExactDirichlet_BDDC(PC pc,PetscBool flg)
225 {
226   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
227 
228   PetscFunctionBegin;
229   pcbddc->use_exact_dirichlet_trick = flg;
230   PetscFunctionReturn(0);
231 }
232 
233 #undef __FUNCT__
234 #define __FUNCT__ "PCBDDCSetUseExactDirichlet"
235 PetscErrorCode PCBDDCSetUseExactDirichlet(PC pc,PetscBool flg)
236 {
237   PetscErrorCode ierr;
238 
239   PetscFunctionBegin;
240   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
241   PetscValidLogicalCollectiveBool(pc,flg,2);
242   ierr = PetscTryMethod(pc,"PCBDDCSetUseExactDirichlet_C",(PC,PetscBool),(pc,flg));CHKERRQ(ierr);
243   PetscFunctionReturn(0);
244 }
245 
246 #undef __FUNCT__
247 #define __FUNCT__ "PCBDDCSetLevel_BDDC"
248 static PetscErrorCode PCBDDCSetLevel_BDDC(PC pc,PetscInt level)
249 {
250   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
251 
252   PetscFunctionBegin;
253   pcbddc->current_level = level;
254   PetscFunctionReturn(0);
255 }
256 
257 #undef __FUNCT__
258 #define __FUNCT__ "PCBDDCSetLevel"
259 PetscErrorCode PCBDDCSetLevel(PC pc,PetscInt level)
260 {
261   PetscErrorCode ierr;
262 
263   PetscFunctionBegin;
264   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
265   PetscValidLogicalCollectiveInt(pc,level,2);
266   ierr = PetscTryMethod(pc,"PCBDDCSetLevel_C",(PC,PetscInt),(pc,level));CHKERRQ(ierr);
267   PetscFunctionReturn(0);
268 }
269 
270 #undef __FUNCT__
271 #define __FUNCT__ "PCBDDCSetLevels_BDDC"
272 static PetscErrorCode PCBDDCSetLevels_BDDC(PC pc,PetscInt levels)
273 {
274   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
275 
276   PetscFunctionBegin;
277   pcbddc->max_levels = levels;
278   PetscFunctionReturn(0);
279 }
280 
281 #undef __FUNCT__
282 #define __FUNCT__ "PCBDDCSetLevels"
283 /*@
284  PCBDDCSetLevels - Sets the maximum number of levels for multilevel
285 
286    Logically collective on PC
287 
288    Input Parameters:
289 +  pc - the preconditioning context
290 -  levels - the maximum number of levels (max 9)
291 
292    Options Database Keys:
293 .    -pc_bddc_levels
294 
295    Level: intermediate
296 
297    Notes:
298      Default value is 0, i.e. traditional one-level BDDC
299 
300 .seealso: PCBDDC, PCBDDCSetCoarseningRatio()
301 @*/
302 PetscErrorCode PCBDDCSetLevels(PC pc,PetscInt levels)
303 {
304   PetscErrorCode ierr;
305 
306   PetscFunctionBegin;
307   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
308   PetscValidLogicalCollectiveInt(pc,levels,2);
309   if (levels > 99) SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Maximum number of levels for bddc is 99\n");
310   ierr = PetscTryMethod(pc,"PCBDDCSetLevels_C",(PC,PetscInt),(pc,levels));CHKERRQ(ierr);
311   PetscFunctionReturn(0);
312 }
313 /* -------------------------------------------------------------------------- */
314 
315 #undef __FUNCT__
316 #define __FUNCT__ "PCBDDCSetNullSpace_BDDC"
317 static PetscErrorCode PCBDDCSetNullSpace_BDDC(PC pc,MatNullSpace NullSpace)
318 {
319   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
320   PetscErrorCode ierr;
321 
322   PetscFunctionBegin;
323   ierr = PetscObjectReference((PetscObject)NullSpace);CHKERRQ(ierr);
324   ierr = MatNullSpaceDestroy(&pcbddc->NullSpace);CHKERRQ(ierr);
325   pcbddc->NullSpace = NullSpace;
326   PetscFunctionReturn(0);
327 }
328 
329 #undef __FUNCT__
330 #define __FUNCT__ "PCBDDCSetNullSpace"
331 /*@
332  PCBDDCSetNullSpace - Set nullspace for BDDC operator
333 
334    Logically collective on PC and MatNullSpace
335 
336    Input Parameters:
337 +  pc - the preconditioning context
338 -  NullSpace - Null space of the linear operator to be preconditioned (Pmat)
339 
340    Level: intermediate
341 
342    Notes:
343 
344 .seealso: PCBDDC
345 @*/
346 PetscErrorCode PCBDDCSetNullSpace(PC pc,MatNullSpace NullSpace)
347 {
348   PetscErrorCode ierr;
349 
350   PetscFunctionBegin;
351   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
352   PetscValidHeaderSpecific(NullSpace,MAT_NULLSPACE_CLASSID,2);
353   PetscCheckSameComm(pc,1,NullSpace,2);
354   ierr = PetscTryMethod(pc,"PCBDDCSetNullSpace_C",(PC,MatNullSpace),(pc,NullSpace));CHKERRQ(ierr);
355   PetscFunctionReturn(0);
356 }
357 /* -------------------------------------------------------------------------- */
358 
359 #undef __FUNCT__
360 #define __FUNCT__ "PCBDDCSetDirichletBoundaries_BDDC"
361 static PetscErrorCode PCBDDCSetDirichletBoundaries_BDDC(PC pc,IS DirichletBoundaries)
362 {
363   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
364   PetscErrorCode ierr;
365 
366   PetscFunctionBegin;
367   /* last user setting takes precendence -> destroy any other customization */
368   ierr = ISDestroy(&pcbddc->DirichletBoundariesLocal);CHKERRQ(ierr);
369   ierr = ISDestroy(&pcbddc->DirichletBoundaries);CHKERRQ(ierr);
370   ierr = PetscObjectReference((PetscObject)DirichletBoundaries);CHKERRQ(ierr);
371   pcbddc->DirichletBoundaries = DirichletBoundaries;
372   pcbddc->recompute_topography = PETSC_TRUE;
373   PetscFunctionReturn(0);
374 }
375 
376 #undef __FUNCT__
377 #define __FUNCT__ "PCBDDCSetDirichletBoundaries"
378 /*@
379  PCBDDCSetDirichletBoundaries - Set IS defining Dirichlet boundaries for the global problem.
380 
381    Collective
382 
383    Input Parameters:
384 +  pc - the preconditioning context
385 -  DirichletBoundaries - parallel IS defining the Dirichlet boundaries
386 
387    Level: intermediate
388 
389    Notes:
390      Provide the information if you used MatZeroRows/Columns routines. Any process can list any global node
391 
392 .seealso: PCBDDC, PCBDDCSetDirichletBoundariesLocal(), MatZeroRows(), MatZeroRowsColumns()
393 @*/
394 PetscErrorCode PCBDDCSetDirichletBoundaries(PC pc,IS DirichletBoundaries)
395 {
396   PetscErrorCode ierr;
397 
398   PetscFunctionBegin;
399   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
400   PetscValidHeaderSpecific(DirichletBoundaries,IS_CLASSID,2);
401   PetscCheckSameComm(pc,1,DirichletBoundaries,2);
402   ierr = PetscTryMethod(pc,"PCBDDCSetDirichletBoundaries_C",(PC,IS),(pc,DirichletBoundaries));CHKERRQ(ierr);
403   PetscFunctionReturn(0);
404 }
405 /* -------------------------------------------------------------------------- */
406 
407 #undef __FUNCT__
408 #define __FUNCT__ "PCBDDCSetDirichletBoundariesLocal_BDDC"
409 static PetscErrorCode PCBDDCSetDirichletBoundariesLocal_BDDC(PC pc,IS DirichletBoundaries)
410 {
411   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
412   PetscErrorCode ierr;
413 
414   PetscFunctionBegin;
415   /* last user setting takes precendence -> destroy any other customization */
416   ierr = ISDestroy(&pcbddc->DirichletBoundariesLocal);CHKERRQ(ierr);
417   ierr = ISDestroy(&pcbddc->DirichletBoundaries);CHKERRQ(ierr);
418   ierr = PetscObjectReference((PetscObject)DirichletBoundaries);CHKERRQ(ierr);
419   pcbddc->DirichletBoundariesLocal = DirichletBoundaries;
420   pcbddc->recompute_topography = PETSC_TRUE;
421   PetscFunctionReturn(0);
422 }
423 
424 #undef __FUNCT__
425 #define __FUNCT__ "PCBDDCSetDirichletBoundariesLocal"
426 /*@
427  PCBDDCSetDirichletBoundariesLocal - Set IS defining Dirichlet boundaries for the global problem in local ordering.
428 
429    Collective
430 
431    Input Parameters:
432 +  pc - the preconditioning context
433 -  DirichletBoundaries - parallel IS defining the Dirichlet boundaries (in local ordering)
434 
435    Level: intermediate
436 
437    Notes:
438 
439 .seealso: PCBDDC, PCBDDCSetDirichletBoundaries(), MatZeroRows(), MatZeroRowsColumns()
440 @*/
441 PetscErrorCode PCBDDCSetDirichletBoundariesLocal(PC pc,IS DirichletBoundaries)
442 {
443   PetscErrorCode ierr;
444 
445   PetscFunctionBegin;
446   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
447   PetscValidHeaderSpecific(DirichletBoundaries,IS_CLASSID,2);
448   PetscCheckSameComm(pc,1,DirichletBoundaries,2);
449   ierr = PetscTryMethod(pc,"PCBDDCSetDirichletBoundariesLocal_C",(PC,IS),(pc,DirichletBoundaries));CHKERRQ(ierr);
450   PetscFunctionReturn(0);
451 }
452 /* -------------------------------------------------------------------------- */
453 
454 #undef __FUNCT__
455 #define __FUNCT__ "PCBDDCSetNeumannBoundaries_BDDC"
456 static PetscErrorCode PCBDDCSetNeumannBoundaries_BDDC(PC pc,IS NeumannBoundaries)
457 {
458   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
459   PetscErrorCode ierr;
460 
461   PetscFunctionBegin;
462   /* last user setting takes precendence -> destroy any other customization */
463   ierr = ISDestroy(&pcbddc->NeumannBoundariesLocal);CHKERRQ(ierr);
464   ierr = ISDestroy(&pcbddc->NeumannBoundaries);CHKERRQ(ierr);
465   ierr = PetscObjectReference((PetscObject)NeumannBoundaries);CHKERRQ(ierr);
466   pcbddc->NeumannBoundaries = NeumannBoundaries;
467   pcbddc->recompute_topography = PETSC_TRUE;
468   PetscFunctionReturn(0);
469 }
470 
471 #undef __FUNCT__
472 #define __FUNCT__ "PCBDDCSetNeumannBoundaries"
473 /*@
474  PCBDDCSetNeumannBoundaries - Set IS defining Neumann boundaries for the global problem.
475 
476    Collective
477 
478    Input Parameters:
479 +  pc - the preconditioning context
480 -  NeumannBoundaries - parallel IS defining the Neumann boundaries
481 
482    Level: intermediate
483 
484    Notes:
485      Any process can list any global node
486 
487 .seealso: PCBDDC, PCBDDCSetNeumannBoundariesLocal()
488 @*/
489 PetscErrorCode PCBDDCSetNeumannBoundaries(PC pc,IS NeumannBoundaries)
490 {
491   PetscErrorCode ierr;
492 
493   PetscFunctionBegin;
494   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
495   PetscValidHeaderSpecific(NeumannBoundaries,IS_CLASSID,2);
496   PetscCheckSameComm(pc,1,NeumannBoundaries,2);
497   ierr = PetscTryMethod(pc,"PCBDDCSetNeumannBoundaries_C",(PC,IS),(pc,NeumannBoundaries));CHKERRQ(ierr);
498   PetscFunctionReturn(0);
499 }
500 /* -------------------------------------------------------------------------- */
501 
502 #undef __FUNCT__
503 #define __FUNCT__ "PCBDDCSetNeumannBoundariesLocal_BDDC"
504 static PetscErrorCode PCBDDCSetNeumannBoundariesLocal_BDDC(PC pc,IS NeumannBoundaries)
505 {
506   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
507   PetscErrorCode ierr;
508 
509   PetscFunctionBegin;
510   /* last user setting takes precendence -> destroy any other customization */
511   ierr = ISDestroy(&pcbddc->NeumannBoundariesLocal);CHKERRQ(ierr);
512   ierr = ISDestroy(&pcbddc->NeumannBoundaries);CHKERRQ(ierr);
513   ierr = PetscObjectReference((PetscObject)NeumannBoundaries);CHKERRQ(ierr);
514   pcbddc->NeumannBoundariesLocal = NeumannBoundaries;
515   pcbddc->recompute_topography = PETSC_TRUE;
516   PetscFunctionReturn(0);
517 }
518 
519 #undef __FUNCT__
520 #define __FUNCT__ "PCBDDCSetNeumannBoundariesLocal"
521 /*@
522  PCBDDCSetNeumannBoundariesLocal - Set IS defining Neumann boundaries for the global problem in local ordering.
523 
524    Collective
525 
526    Input Parameters:
527 +  pc - the preconditioning context
528 -  NeumannBoundaries - parallel IS defining the subdomain part of Neumann boundaries (in local ordering)
529 
530    Level: intermediate
531 
532    Notes:
533 
534 .seealso: PCBDDC, PCBDDCSetNeumannBoundaries()
535 @*/
536 PetscErrorCode PCBDDCSetNeumannBoundariesLocal(PC pc,IS NeumannBoundaries)
537 {
538   PetscErrorCode ierr;
539 
540   PetscFunctionBegin;
541   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
542   PetscValidHeaderSpecific(NeumannBoundaries,IS_CLASSID,2);
543   PetscCheckSameComm(pc,1,NeumannBoundaries,2);
544   ierr = PetscTryMethod(pc,"PCBDDCSetNeumannBoundariesLocal_C",(PC,IS),(pc,NeumannBoundaries));CHKERRQ(ierr);
545   PetscFunctionReturn(0);
546 }
547 /* -------------------------------------------------------------------------- */
548 
549 #undef __FUNCT__
550 #define __FUNCT__ "PCBDDCGetDirichletBoundaries_BDDC"
551 static PetscErrorCode PCBDDCGetDirichletBoundaries_BDDC(PC pc,IS *DirichletBoundaries)
552 {
553   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
554 
555   PetscFunctionBegin;
556   *DirichletBoundaries = pcbddc->DirichletBoundaries;
557   PetscFunctionReturn(0);
558 }
559 
560 #undef __FUNCT__
561 #define __FUNCT__ "PCBDDCGetDirichletBoundaries"
562 /*@
563  PCBDDCGetDirichletBoundaries - Get parallel IS for Dirichlet boundaries
564 
565    Collective
566 
567    Input Parameters:
568 .  pc - the preconditioning context
569 
570    Output Parameters:
571 .  DirichletBoundaries - index set defining the Dirichlet boundaries
572 
573    Level: intermediate
574 
575    Notes:
576      The IS returned (if any) is the same passed in earlier by the user with PCBDDCSetDirichletBoundaries
577 
578 .seealso: PCBDDC
579 @*/
580 PetscErrorCode PCBDDCGetDirichletBoundaries(PC pc,IS *DirichletBoundaries)
581 {
582   PetscErrorCode ierr;
583 
584   PetscFunctionBegin;
585   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
586   ierr = PetscUseMethod(pc,"PCBDDCGetDirichletBoundaries_C",(PC,IS*),(pc,DirichletBoundaries));CHKERRQ(ierr);
587   PetscFunctionReturn(0);
588 }
589 /* -------------------------------------------------------------------------- */
590 
591 #undef __FUNCT__
592 #define __FUNCT__ "PCBDDCGetDirichletBoundariesLocal_BDDC"
593 static PetscErrorCode PCBDDCGetDirichletBoundariesLocal_BDDC(PC pc,IS *DirichletBoundaries)
594 {
595   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
596 
597   PetscFunctionBegin;
598   *DirichletBoundaries = pcbddc->DirichletBoundariesLocal;
599   PetscFunctionReturn(0);
600 }
601 
602 #undef __FUNCT__
603 #define __FUNCT__ "PCBDDCGetDirichletBoundariesLocal"
604 /*@
605  PCBDDCGetDirichletBoundariesLocal - Get parallel IS for Dirichlet boundaries (in local ordering)
606 
607    Collective
608 
609    Input Parameters:
610 .  pc - the preconditioning context
611 
612    Output Parameters:
613 .  DirichletBoundaries - index set defining the subdomain part of Dirichlet boundaries
614 
615    Level: intermediate
616 
617    Notes:
618      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).
619           In the latter case, the IS will be available after PCSetUp.
620 
621 .seealso: PCBDDC
622 @*/
623 PetscErrorCode PCBDDCGetDirichletBoundariesLocal(PC pc,IS *DirichletBoundaries)
624 {
625   PetscErrorCode ierr;
626 
627   PetscFunctionBegin;
628   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
629   ierr = PetscUseMethod(pc,"PCBDDCGetDirichletBoundariesLocal_C",(PC,IS*),(pc,DirichletBoundaries));CHKERRQ(ierr);
630   PetscFunctionReturn(0);
631 }
632 /* -------------------------------------------------------------------------- */
633 
634 #undef __FUNCT__
635 #define __FUNCT__ "PCBDDCGetNeumannBoundaries_BDDC"
636 static PetscErrorCode PCBDDCGetNeumannBoundaries_BDDC(PC pc,IS *NeumannBoundaries)
637 {
638   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
639 
640   PetscFunctionBegin;
641   *NeumannBoundaries = pcbddc->NeumannBoundaries;
642   PetscFunctionReturn(0);
643 }
644 
645 #undef __FUNCT__
646 #define __FUNCT__ "PCBDDCGetNeumannBoundaries"
647 /*@
648  PCBDDCGetNeumannBoundaries - Get parallel IS for Neumann boundaries
649 
650    Collective
651 
652    Input Parameters:
653 .  pc - the preconditioning context
654 
655    Output Parameters:
656 .  NeumannBoundaries - index set defining the Neumann boundaries
657 
658    Level: intermediate
659 
660    Notes:
661      The IS returned (if any) is the same passed in earlier by the user with PCBDDCSetNeumannBoundaries
662 
663 .seealso: PCBDDC
664 @*/
665 PetscErrorCode PCBDDCGetNeumannBoundaries(PC pc,IS *NeumannBoundaries)
666 {
667   PetscErrorCode ierr;
668 
669   PetscFunctionBegin;
670   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
671   ierr = PetscUseMethod(pc,"PCBDDCGetNeumannBoundaries_C",(PC,IS*),(pc,NeumannBoundaries));CHKERRQ(ierr);
672   PetscFunctionReturn(0);
673 }
674 /* -------------------------------------------------------------------------- */
675 
676 #undef __FUNCT__
677 #define __FUNCT__ "PCBDDCGetNeumannBoundariesLocal_BDDC"
678 static PetscErrorCode PCBDDCGetNeumannBoundariesLocal_BDDC(PC pc,IS *NeumannBoundaries)
679 {
680   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
681 
682   PetscFunctionBegin;
683   *NeumannBoundaries = pcbddc->NeumannBoundariesLocal;
684   PetscFunctionReturn(0);
685 }
686 
687 #undef __FUNCT__
688 #define __FUNCT__ "PCBDDCGetNeumannBoundariesLocal"
689 /*@
690  PCBDDCGetNeumannBoundariesLocal - Get parallel IS for Neumann boundaries (in local ordering)
691 
692    Collective
693 
694    Input Parameters:
695 .  pc - the preconditioning context
696 
697    Output Parameters:
698 .  NeumannBoundaries - index set defining the subdomain part of Neumann boundaries
699 
700    Level: intermediate
701 
702    Notes:
703      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).
704           In the latter case, the IS will be available after PCSetUp.
705 
706 .seealso: PCBDDC
707 @*/
708 PetscErrorCode PCBDDCGetNeumannBoundariesLocal(PC pc,IS *NeumannBoundaries)
709 {
710   PetscErrorCode ierr;
711 
712   PetscFunctionBegin;
713   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
714   ierr = PetscUseMethod(pc,"PCBDDCGetNeumannBoundariesLocal_C",(PC,IS*),(pc,NeumannBoundaries));CHKERRQ(ierr);
715   PetscFunctionReturn(0);
716 }
717 /* -------------------------------------------------------------------------- */
718 
719 #undef __FUNCT__
720 #define __FUNCT__ "PCBDDCSetLocalAdjacencyGraph_BDDC"
721 static PetscErrorCode PCBDDCSetLocalAdjacencyGraph_BDDC(PC pc, PetscInt nvtxs,const PetscInt xadj[],const PetscInt adjncy[], PetscCopyMode copymode)
722 {
723   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
724   PCBDDCGraph    mat_graph = pcbddc->mat_graph;
725   PetscErrorCode ierr;
726 
727   PetscFunctionBegin;
728   /* free old CSR */
729   ierr = PCBDDCGraphResetCSR(mat_graph);CHKERRQ(ierr);
730   /* TODO: PCBDDCGraphSetAdjacency */
731   /* get CSR into graph structure */
732   if (copymode == PETSC_COPY_VALUES) {
733     ierr = PetscMalloc1(nvtxs+1,&mat_graph->xadj);CHKERRQ(ierr);
734     ierr = PetscMalloc1(xadj[nvtxs],&mat_graph->adjncy);CHKERRQ(ierr);
735     ierr = PetscMemcpy(mat_graph->xadj,xadj,(nvtxs+1)*sizeof(PetscInt));CHKERRQ(ierr);
736     ierr = PetscMemcpy(mat_graph->adjncy,adjncy,xadj[nvtxs]*sizeof(PetscInt));CHKERRQ(ierr);
737   } else if (copymode == PETSC_OWN_POINTER) {
738     mat_graph->xadj = (PetscInt*)xadj;
739     mat_graph->adjncy = (PetscInt*)adjncy;
740   }
741   mat_graph->nvtxs_csr = nvtxs;
742   PetscFunctionReturn(0);
743 }
744 
745 #undef __FUNCT__
746 #define __FUNCT__ "PCBDDCSetLocalAdjacencyGraph"
747 /*@
748  PCBDDCSetLocalAdjacencyGraph - Set adjacency structure (CSR graph) of the local matrix
749 
750    Not collective
751 
752    Input Parameters:
753 +  pc - the preconditioning context
754 .  nvtxs - number of local vertices of the graph (i.e., the size of the local problem)
755 .  xadj, adjncy - the CSR graph
756 -  copymode - either PETSC_COPY_VALUES or PETSC_OWN_POINTER.
757 
758    Level: intermediate
759 
760    Notes:
761 
762 .seealso: PCBDDC,PetscCopyMode
763 @*/
764 PetscErrorCode PCBDDCSetLocalAdjacencyGraph(PC pc,PetscInt nvtxs,const PetscInt xadj[],const PetscInt adjncy[], PetscCopyMode copymode)
765 {
766   void (*f)(void) = 0;
767   PetscErrorCode ierr;
768 
769   PetscFunctionBegin;
770   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
771   PetscValidIntPointer(xadj,3);
772   PetscValidIntPointer(adjncy,4);
773   if (copymode != PETSC_COPY_VALUES && copymode != PETSC_OWN_POINTER) {
774     SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_SUP,"Unsupported copy mode %d in %s\n",copymode,__FUNCT__);
775   }
776   ierr = PetscTryMethod(pc,"PCBDDCSetLocalAdjacencyGraph_C",(PC,PetscInt,const PetscInt[],const PetscInt[],PetscCopyMode),(pc,nvtxs,xadj,adjncy,copymode));CHKERRQ(ierr);
777   /* free arrays if PCBDDC is not the PC type */
778   ierr = PetscObjectQueryFunction((PetscObject)pc,"PCBDDCSetLocalAdjacencyGraph_C",&f);CHKERRQ(ierr);
779   if (!f && copymode == PETSC_OWN_POINTER) {
780     ierr = PetscFree(xadj);CHKERRQ(ierr);
781     ierr = PetscFree(adjncy);CHKERRQ(ierr);
782   }
783   PetscFunctionReturn(0);
784 }
785 /* -------------------------------------------------------------------------- */
786 
787 #undef __FUNCT__
788 #define __FUNCT__ "PCBDDCSetDofsSplittingLocal_BDDC"
789 static PetscErrorCode PCBDDCSetDofsSplittingLocal_BDDC(PC pc,PetscInt n_is, IS ISForDofs[])
790 {
791   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
792   PetscInt i;
793   PetscErrorCode ierr;
794 
795   PetscFunctionBegin;
796   /* Destroy ISes if they were already set */
797   for (i=0;i<pcbddc->n_ISForDofsLocal;i++) {
798     ierr = ISDestroy(&pcbddc->ISForDofsLocal[i]);CHKERRQ(ierr);
799   }
800   ierr = PetscFree(pcbddc->ISForDofsLocal);CHKERRQ(ierr);
801   /* last user setting takes precendence -> destroy any other customization */
802   for (i=0;i<pcbddc->n_ISForDofs;i++) {
803     ierr = ISDestroy(&pcbddc->ISForDofs[i]);CHKERRQ(ierr);
804   }
805   ierr = PetscFree(pcbddc->ISForDofs);CHKERRQ(ierr);
806   pcbddc->n_ISForDofs = 0;
807   /* allocate space then set */
808   if (n_is) {
809     ierr = PetscMalloc1(n_is,&pcbddc->ISForDofsLocal);CHKERRQ(ierr);
810   }
811   for (i=0;i<n_is;i++) {
812     ierr = PetscObjectReference((PetscObject)ISForDofs[i]);CHKERRQ(ierr);
813     pcbddc->ISForDofsLocal[i]=ISForDofs[i];
814   }
815   pcbddc->n_ISForDofsLocal=n_is;
816   if (n_is) pcbddc->user_provided_isfordofs = PETSC_TRUE;
817   pcbddc->recompute_topography = PETSC_TRUE;
818   PetscFunctionReturn(0);
819 }
820 
821 #undef __FUNCT__
822 #define __FUNCT__ "PCBDDCSetDofsSplittingLocal"
823 /*@
824  PCBDDCSetDofsSplittingLocal - Set index sets defining fields of the local subdomain matrix
825 
826    Collective
827 
828    Input Parameters:
829 +  pc - the preconditioning context
830 .  n_is - number of index sets defining the fields
831 -  ISForDofs - array of IS describing the fields in local ordering
832 
833    Level: intermediate
834 
835    Notes:
836      n_is should be the same among processes. Not all nodes need to be listed: unlisted nodes will belong to the complement field.
837 
838 .seealso: PCBDDC
839 @*/
840 PetscErrorCode PCBDDCSetDofsSplittingLocal(PC pc,PetscInt n_is, IS ISForDofs[])
841 {
842   PetscInt       i;
843   PetscErrorCode ierr;
844 
845   PetscFunctionBegin;
846   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
847   PetscValidLogicalCollectiveInt(pc,n_is,2);
848   for (i=0;i<n_is;i++) {
849     PetscCheckSameComm(pc,1,ISForDofs[i],3);
850     PetscValidHeaderSpecific(ISForDofs[i],IS_CLASSID,3);
851   }
852   ierr = PetscTryMethod(pc,"PCBDDCSetDofsSplittingLocal_C",(PC,PetscInt,IS[]),(pc,n_is,ISForDofs));CHKERRQ(ierr);
853   PetscFunctionReturn(0);
854 }
855 /* -------------------------------------------------------------------------- */
856 
857 #undef __FUNCT__
858 #define __FUNCT__ "PCBDDCSetDofsSplitting_BDDC"
859 static PetscErrorCode PCBDDCSetDofsSplitting_BDDC(PC pc,PetscInt n_is, IS ISForDofs[])
860 {
861   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
862   PetscInt i;
863   PetscErrorCode ierr;
864 
865   PetscFunctionBegin;
866   /* Destroy ISes if they were already set */
867   for (i=0;i<pcbddc->n_ISForDofs;i++) {
868     ierr = ISDestroy(&pcbddc->ISForDofs[i]);CHKERRQ(ierr);
869   }
870   ierr = PetscFree(pcbddc->ISForDofs);CHKERRQ(ierr);
871   /* last user setting takes precendence -> destroy any other customization */
872   for (i=0;i<pcbddc->n_ISForDofsLocal;i++) {
873     ierr = ISDestroy(&pcbddc->ISForDofsLocal[i]);CHKERRQ(ierr);
874   }
875   ierr = PetscFree(pcbddc->ISForDofsLocal);CHKERRQ(ierr);
876   pcbddc->n_ISForDofsLocal = 0;
877   /* allocate space then set */
878   if (n_is) {
879     ierr = PetscMalloc1(n_is,&pcbddc->ISForDofs);CHKERRQ(ierr);
880   }
881   for (i=0;i<n_is;i++) {
882     ierr = PetscObjectReference((PetscObject)ISForDofs[i]);CHKERRQ(ierr);
883     pcbddc->ISForDofs[i]=ISForDofs[i];
884   }
885   pcbddc->n_ISForDofs=n_is;
886   if (n_is) pcbddc->user_provided_isfordofs = PETSC_TRUE;
887   pcbddc->recompute_topography = PETSC_TRUE;
888   PetscFunctionReturn(0);
889 }
890 
891 #undef __FUNCT__
892 #define __FUNCT__ "PCBDDCSetDofsSplitting"
893 /*@
894  PCBDDCSetDofsSplitting - Set index sets defining fields of the global matrix
895 
896    Collective
897 
898    Input Parameters:
899 +  pc - the preconditioning context
900 .  n_is - number of index sets defining the fields
901 -  ISForDofs - array of IS describing the fields in global ordering
902 
903    Level: intermediate
904 
905    Notes:
906      Any process can list any global node. Not all nodes need to be listed: unlisted nodes will belong to the complement field.
907 
908 .seealso: PCBDDC
909 @*/
910 PetscErrorCode PCBDDCSetDofsSplitting(PC pc,PetscInt n_is, IS ISForDofs[])
911 {
912   PetscInt       i;
913   PetscErrorCode ierr;
914 
915   PetscFunctionBegin;
916   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
917   PetscValidLogicalCollectiveInt(pc,n_is,2);
918   for (i=0;i<n_is;i++) {
919     PetscCheckSameComm(pc,1,ISForDofs[i],3);
920     PetscValidHeaderSpecific(ISForDofs[i],IS_CLASSID,3);
921   }
922   ierr = PetscTryMethod(pc,"PCBDDCSetDofsSplitting_C",(PC,PetscInt,IS[]),(pc,n_is,ISForDofs));CHKERRQ(ierr);
923   PetscFunctionReturn(0);
924 }
925 
926 /* -------------------------------------------------------------------------- */
927 #undef __FUNCT__
928 #define __FUNCT__ "PCPreSolve_BDDC"
929 /* -------------------------------------------------------------------------- */
930 /*
931    PCPreSolve_BDDC - Changes the right hand side and (if necessary) the initial
932                      guess if a transformation of basis approach has been selected.
933 
934    Input Parameter:
935 +  pc - the preconditioner contex
936 
937    Application Interface Routine: PCPreSolve()
938 
939    Notes:
940      The interface routine PCPreSolve() is not usually called directly by
941    the user, but instead is called by KSPSolve().
942 */
943 static PetscErrorCode PCPreSolve_BDDC(PC pc, KSP ksp, Vec rhs, Vec x)
944 {
945   PetscErrorCode ierr;
946   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
947   PC_IS          *pcis = (PC_IS*)(pc->data);
948   Vec            used_vec;
949   PetscBool      copy_rhs = PETSC_TRUE;
950 
951   PetscFunctionBegin;
952   /* if we are working with cg, one dirichlet solve can be avoided during Krylov iterations */
953   if (ksp) {
954     PetscBool iscg;
955     ierr = PetscObjectTypeCompare((PetscObject)ksp,KSPCG,&iscg);CHKERRQ(ierr);
956     if (!iscg) {
957       ierr = PCBDDCSetUseExactDirichlet(pc,PETSC_FALSE);CHKERRQ(ierr);
958     }
959   }
960   /* Creates parallel work vectors used in presolve */
961   if (!pcbddc->original_rhs) {
962     ierr = VecDuplicate(pcis->vec1_global,&pcbddc->original_rhs);CHKERRQ(ierr);
963   }
964   if (!pcbddc->temp_solution) {
965     ierr = VecDuplicate(pcis->vec1_global,&pcbddc->temp_solution);CHKERRQ(ierr);
966   }
967 
968   if (x) {
969     ierr = PetscObjectReference((PetscObject)x);CHKERRQ(ierr);
970     used_vec = x;
971   } else { /* it can only happen when calling PCBDDCMatFETIDPGetRHS */
972     ierr = PetscObjectReference((PetscObject)pcbddc->temp_solution);CHKERRQ(ierr);
973     used_vec = pcbddc->temp_solution;
974     ierr = VecSet(used_vec,0.0);CHKERRQ(ierr);
975   }
976 
977   /* hack into ksp data structure since PCPreSolve comes earlier than setting to zero the guess in src/ksp/ksp/interface/itfunc.c */
978   if (ksp) {
979     /* store the flag for the initial guess since it will be restored back during PCPostSolve_BDDC */
980     ierr = KSPGetInitialGuessNonzero(ksp,&pcbddc->ksp_guess_nonzero);CHKERRQ(ierr);
981     if (!pcbddc->ksp_guess_nonzero) {
982       ierr = VecSet(used_vec,0.0);CHKERRQ(ierr);
983     }
984   }
985 
986   pcbddc->rhs_change = PETSC_FALSE;
987 
988   /* Take into account zeroed rows -> change rhs and store solution removed */
989   if (rhs) {
990     IS dirIS = NULL;
991 
992     /* DirichletBoundariesLocal may not be consistent among neighbours; gets a dirichlet dofs IS from graph (may be cached) */
993     ierr = PCBDDCGraphGetDirichletDofs(pcbddc->mat_graph,&dirIS);CHKERRQ(ierr);
994     if (dirIS) {
995       Mat_IS            *matis = (Mat_IS*)pc->pmat->data;
996       PetscInt          dirsize,i,*is_indices;
997       PetscScalar       *array_x;
998       const PetscScalar *array_diagonal;
999 
1000       ierr = MatGetDiagonal(pc->pmat,pcis->vec1_global);CHKERRQ(ierr);
1001       ierr = VecPointwiseDivide(pcis->vec1_global,rhs,pcis->vec1_global);CHKERRQ(ierr);
1002       ierr = VecScatterBegin(matis->rctx,pcis->vec1_global,pcis->vec2_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1003       ierr = VecScatterEnd(matis->rctx,pcis->vec1_global,pcis->vec2_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1004       ierr = VecScatterBegin(matis->rctx,used_vec,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1005       ierr = VecScatterEnd(matis->rctx,used_vec,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1006       ierr = ISGetLocalSize(dirIS,&dirsize);CHKERRQ(ierr);
1007       ierr = VecGetArray(pcis->vec1_N,&array_x);CHKERRQ(ierr);
1008       ierr = VecGetArrayRead(pcis->vec2_N,&array_diagonal);CHKERRQ(ierr);
1009       ierr = ISGetIndices(dirIS,(const PetscInt**)&is_indices);CHKERRQ(ierr);
1010       for (i=0; i<dirsize; i++) array_x[is_indices[i]] = array_diagonal[is_indices[i]];
1011       ierr = ISRestoreIndices(dirIS,(const PetscInt**)&is_indices);CHKERRQ(ierr);
1012       ierr = VecRestoreArrayRead(pcis->vec2_N,&array_diagonal);CHKERRQ(ierr);
1013       ierr = VecRestoreArray(pcis->vec1_N,&array_x);CHKERRQ(ierr);
1014       ierr = VecScatterBegin(matis->rctx,pcis->vec1_N,used_vec,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1015       ierr = VecScatterEnd(matis->rctx,pcis->vec1_N,used_vec,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1016       pcbddc->rhs_change = PETSC_TRUE;
1017       ierr = ISDestroy(&dirIS);CHKERRQ(ierr);
1018     }
1019   }
1020 
1021   /* remove the computed solution or the initial guess from the rhs */
1022   if (pcbddc->rhs_change || (ksp && pcbddc->ksp_guess_nonzero) ) {
1023     /* store the original rhs */
1024     if (copy_rhs) {
1025       ierr = VecCopy(rhs,pcbddc->original_rhs);CHKERRQ(ierr);
1026       copy_rhs = PETSC_FALSE;
1027     }
1028     pcbddc->rhs_change = PETSC_TRUE;
1029     ierr = VecScale(used_vec,-1.0);CHKERRQ(ierr);
1030     ierr = MatMultAdd(pc->pmat,used_vec,rhs,rhs);CHKERRQ(ierr);
1031     ierr = VecScale(used_vec,-1.0);CHKERRQ(ierr);
1032     ierr = VecCopy(used_vec,pcbddc->temp_solution);CHKERRQ(ierr);
1033     if (ksp) {
1034       ierr = KSPSetInitialGuessNonzero(ksp,PETSC_FALSE);CHKERRQ(ierr);
1035     }
1036   }
1037   ierr = VecDestroy(&used_vec);CHKERRQ(ierr);
1038 
1039   /* store partially computed solution and set initial guess */
1040   if (x && pcbddc->use_exact_dirichlet_trick) {
1041     ierr = VecSet(x,0.0);CHKERRQ(ierr);
1042     ierr = VecScatterBegin(pcis->global_to_D,rhs,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1043     ierr = VecScatterEnd(pcis->global_to_D,rhs,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1044     ierr = KSPSolve(pcbddc->ksp_D,pcis->vec1_D,pcis->vec2_D);CHKERRQ(ierr);
1045     ierr = VecScatterBegin(pcis->global_to_D,pcis->vec2_D,x,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1046     ierr = VecScatterEnd(pcis->global_to_D,pcis->vec2_D,x,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1047     if (ksp) {
1048       ierr = KSPSetInitialGuessNonzero(ksp,PETSC_TRUE);CHKERRQ(ierr);
1049     }
1050   }
1051 
1052   if (pcbddc->ChangeOfBasisMatrix) {
1053     PCBDDCChange_ctx change_ctx;
1054 
1055     /* get change ctx */
1056     ierr = MatShellGetContext(pcbddc->new_global_mat,&change_ctx);CHKERRQ(ierr);
1057 
1058     /* set current iteration matrix inside change context (change of basis has been already set into the ctx during PCSetUp) */
1059     ierr = MatDestroy(&change_ctx->original_mat);CHKERRQ(ierr);
1060     ierr = PetscObjectReference((PetscObject)pc->mat);CHKERRQ(ierr);
1061     change_ctx->original_mat = pc->mat;
1062 
1063     /* change iteration matrix */
1064     ierr = MatDestroy(&pc->mat);CHKERRQ(ierr);
1065     ierr = PetscObjectReference((PetscObject)pcbddc->new_global_mat);CHKERRQ(ierr);
1066     pc->mat = pcbddc->new_global_mat;
1067 
1068     /* store the original rhs */
1069     if (copy_rhs) {
1070       ierr = VecCopy(rhs,pcbddc->original_rhs);CHKERRQ(ierr);
1071       copy_rhs = PETSC_FALSE;
1072     }
1073 
1074     /* change rhs */
1075     ierr = MatMultTranspose(change_ctx->global_change,rhs,pcis->vec1_global);CHKERRQ(ierr);
1076     ierr = VecCopy(pcis->vec1_global,rhs);CHKERRQ(ierr);
1077     pcbddc->rhs_change = PETSC_TRUE;
1078   }
1079 
1080   /* remove nullspace if present */
1081   if (ksp && x && pcbddc->NullSpace) {
1082     ierr = MatNullSpaceRemove(pcbddc->NullSpace,x);CHKERRQ(ierr);
1083     /* store the original rhs */
1084     if (copy_rhs) {
1085       ierr = VecCopy(rhs,pcbddc->original_rhs);CHKERRQ(ierr);
1086       copy_rhs = PETSC_FALSE;
1087     }
1088     pcbddc->rhs_change = PETSC_TRUE;
1089     ierr = MatNullSpaceRemove(pcbddc->NullSpace,rhs);CHKERRQ(ierr);
1090   }
1091   PetscFunctionReturn(0);
1092 }
1093 
1094 /* -------------------------------------------------------------------------- */
1095 #undef __FUNCT__
1096 #define __FUNCT__ "PCPostSolve_BDDC"
1097 /* -------------------------------------------------------------------------- */
1098 /*
1099    PCPostSolve_BDDC - Changes the computed solution if a transformation of basis
1100                      approach has been selected. Also, restores rhs to its original state.
1101 
1102    Input Parameter:
1103 +  pc - the preconditioner contex
1104 
1105    Application Interface Routine: PCPostSolve()
1106 
1107    Notes:
1108      The interface routine PCPostSolve() is not usually called directly by
1109      the user, but instead is called by KSPSolve().
1110 */
1111 static PetscErrorCode PCPostSolve_BDDC(PC pc, KSP ksp, Vec rhs, Vec x)
1112 {
1113   PetscErrorCode ierr;
1114   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
1115 
1116   PetscFunctionBegin;
1117   if (pcbddc->ChangeOfBasisMatrix) {
1118     PCBDDCChange_ctx change_ctx;
1119 
1120     /* get change ctx */
1121     ierr = MatShellGetContext(pcbddc->new_global_mat,&change_ctx);CHKERRQ(ierr);
1122 
1123     /* restore iteration matrix */
1124     ierr = MatDestroy(&pc->mat);CHKERRQ(ierr);
1125     ierr = PetscObjectReference((PetscObject)change_ctx->original_mat);CHKERRQ(ierr);
1126     pc->mat = change_ctx->original_mat;
1127 
1128     /* get solution in original basis */
1129     if (x) {
1130       PC_IS *pcis = (PC_IS*)(pc->data);
1131       ierr = MatMult(change_ctx->global_change,x,pcis->vec1_global);CHKERRQ(ierr);
1132       ierr = VecCopy(pcis->vec1_global,x);CHKERRQ(ierr);
1133     }
1134   }
1135 
1136   /* add solution removed in presolve */
1137   if (x && pcbddc->rhs_change) {
1138     ierr = VecAXPY(x,1.0,pcbddc->temp_solution);CHKERRQ(ierr);
1139   }
1140 
1141   /* restore rhs to its original state */
1142   if (rhs && pcbddc->rhs_change) {
1143     ierr = VecCopy(pcbddc->original_rhs,rhs);CHKERRQ(ierr);
1144   }
1145   pcbddc->rhs_change = PETSC_FALSE;
1146 
1147   /* restore ksp guess state */
1148   if (ksp) {
1149     ierr = KSPSetInitialGuessNonzero(ksp,pcbddc->ksp_guess_nonzero);CHKERRQ(ierr);
1150   }
1151   PetscFunctionReturn(0);
1152 }
1153 /* -------------------------------------------------------------------------- */
1154 #undef __FUNCT__
1155 #define __FUNCT__ "PCSetUp_BDDC"
1156 /* -------------------------------------------------------------------------- */
1157 /*
1158    PCSetUp_BDDC - Prepares for the use of the BDDC preconditioner
1159                   by setting data structures and options.
1160 
1161    Input Parameter:
1162 +  pc - the preconditioner context
1163 
1164    Application Interface Routine: PCSetUp()
1165 
1166    Notes:
1167      The interface routine PCSetUp() is not usually called directly by
1168      the user, but instead is called by PCApply() if necessary.
1169 */
1170 PetscErrorCode PCSetUp_BDDC(PC pc)
1171 {
1172   PetscErrorCode ierr;
1173   PC_BDDC*       pcbddc = (PC_BDDC*)pc->data;
1174   Mat_IS*        matis;
1175   MatNullSpace   nearnullspace;
1176   PetscInt       nrows,ncols;
1177   PetscBool      computetopography,computesolvers,computesubschurs;
1178   PetscBool      computeconstraintsmatrix;
1179   PetscBool      new_nearnullspace_provided,ismatis;
1180 
1181   PetscFunctionBegin;
1182   ierr = PetscObjectTypeCompare((PetscObject)pc->pmat,MATIS,&ismatis);CHKERRQ(ierr);
1183   if (!ismatis) {
1184     SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_ARG_WRONG,"PCBDDC preconditioner requires matrix of type MATIS");
1185   }
1186   ierr = MatGetSize(pc->pmat,&nrows,&ncols);CHKERRQ(ierr);
1187   if (nrows != ncols) {
1188     SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"PCBDDC preconditioner requires a square preconditioning matrix");
1189   }
1190   matis = (Mat_IS*)pc->pmat->data;
1191   /* the following lines of code should be replaced by a better logic between PCIS, PCNN, PCBDDC and other future nonoverlapping preconditioners */
1192   /* For BDDC we need to define a local "Neumann" problem different to that defined in PCISSetup
1193      Also, BDDC directly build the Dirichlet problem */
1194   /* split work */
1195   if (pc->setupcalled) {
1196     if (pc->flag == SAME_NONZERO_PATTERN) {
1197       computetopography = PETSC_FALSE;
1198       computesolvers = PETSC_TRUE;
1199     } else { /* DIFFERENT_NONZERO_PATTERN */
1200       computetopography = PETSC_TRUE;
1201       computesolvers = PETSC_TRUE;
1202     }
1203   } else {
1204     computetopography = PETSC_TRUE;
1205     computesolvers = PETSC_TRUE;
1206   }
1207   if (pcbddc->recompute_topography) {
1208     computetopography = PETSC_TRUE;
1209   }
1210   computeconstraintsmatrix = PETSC_FALSE;
1211   if (pcbddc->adaptive_threshold > 0.0 && !pcbddc->use_deluxe_scaling) {
1212     SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Cannot compute adaptive constraints without deluxe scaling. Rerun with -pc_bddc_use_deluxe_scaling");
1213   }
1214   pcbddc->adaptive_selection = (PetscBool)(pcbddc->adaptive_threshold > 0.0 && pcbddc->use_deluxe_scaling);
1215   if (pcbddc->adaptive_selection) pcbddc->use_faces = PETSC_TRUE;
1216 
1217   computesubschurs = (PetscBool)(pcbddc->adaptive_selection || pcbddc->use_deluxe_scaling);
1218   if (pcbddc->faster_deluxe && pcbddc->adaptive_selection && pcbddc->use_change_of_basis) {
1219     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");
1220   }
1221   /* Get stdout for dbg */
1222   if (pcbddc->dbg_flag) {
1223     if (!pcbddc->dbg_viewer) {
1224       pcbddc->dbg_viewer = PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)pc));
1225       ierr = PetscViewerASCIISynchronizedAllow(pcbddc->dbg_viewer,PETSC_TRUE);CHKERRQ(ierr);
1226     }
1227     ierr = PetscViewerASCIIAddTab(pcbddc->dbg_viewer,2*pcbddc->current_level);CHKERRQ(ierr);
1228   }
1229 
1230   if (pcbddc->user_ChangeOfBasisMatrix) {
1231     /* use_change_of_basis flag is used to automatically compute a change of basis from constraints */
1232     pcbddc->use_change_of_basis = PETSC_FALSE;
1233     ierr = PCBDDCComputeLocalMatrix(pc,pcbddc->user_ChangeOfBasisMatrix);CHKERRQ(ierr);
1234   } else {
1235     ierr = MatDestroy(&pcbddc->local_mat);CHKERRQ(ierr);
1236     if (!pcbddc->saddle_point) {
1237       ierr = PetscObjectReference((PetscObject)matis->A);CHKERRQ(ierr);
1238       pcbddc->local_mat = matis->A;
1239     } else { /* TODO: handle user change of basis */
1240       PetscInt  nz;
1241       PetscBool sorted;
1242 
1243       ierr = ISDestroy(&pcbddc->zerodiag);CHKERRQ(ierr);
1244       /* should I also include nonzero pressures? */
1245       ierr = MatFindZeroDiagonals(matis->A,&pcbddc->zerodiag);CHKERRQ(ierr);
1246       ierr = ISSorted(pcbddc->zerodiag,&sorted);CHKERRQ(ierr);
1247       if (!sorted) {
1248         ierr = ISSort(pcbddc->zerodiag);CHKERRQ(ierr);
1249       }
1250       if (!PetscGlobalRank) printf("ZERODIAG\n");
1251       if (!PetscGlobalRank) ISView(pcbddc->zerodiag,NULL);
1252       ierr = ISGetLocalSize(pcbddc->zerodiag,&nz);CHKERRQ(ierr);
1253       if (nz) {
1254         IS                zerodiagc;
1255         PetscScalar       *array;
1256         const PetscInt    *idxs,*idxsc;
1257         PetscInt          i,n,*nnz;
1258 
1259         /* TODO: add check for shared dofs */
1260         pcbddc->use_change_of_basis = PETSC_TRUE;
1261         ierr = MatGetLocalSize(matis->A,&n,NULL);CHKERRQ(ierr);
1262         ierr = ISComplement(pcbddc->zerodiag,0,n,&zerodiagc);CHKERRQ(ierr);
1263         ierr = ISGetIndices(pcbddc->zerodiag,&idxs);CHKERRQ(ierr);
1264         ierr = ISGetIndices(zerodiagc,&idxsc);CHKERRQ(ierr);
1265         /* local change of basis for pressures */
1266         ierr = MatDestroy(&pcbddc->benign_change);CHKERRQ(ierr);
1267         ierr = MatCreate(PetscObjectComm((PetscObject)matis->A),&pcbddc->benign_change);CHKERRQ(ierr);
1268         ierr = MatSetType(pcbddc->benign_change,MATAIJ);CHKERRQ(ierr);
1269         ierr = MatSetSizes(pcbddc->benign_change,n,n,PETSC_DECIDE,PETSC_DECIDE);CHKERRQ(ierr);
1270         ierr = PetscMalloc1(n,&nnz);CHKERRQ(ierr);
1271         for (i=0;i<n-nz;i++) nnz[idxsc[i]] = 1; /* identity on velocities */
1272         for (i=0;i<nz-1;i++) nnz[idxs[i]] = 2; /* change on pressures */
1273         nnz[idxs[nz-1]] = nz; /* last local pressure dof: _0 set */
1274         ierr = MatSeqAIJSetPreallocation(pcbddc->benign_change,0,nnz);CHKERRQ(ierr);
1275         ierr = PetscFree(nnz);CHKERRQ(ierr);
1276         /* set identity on velocities */
1277         for (i=0;i<n-nz;i++) {
1278           ierr = MatSetValue(pcbddc->benign_change,idxsc[i],idxsc[i],1.,INSERT_VALUES);CHKERRQ(ierr);
1279         }
1280         /* set change on pressures */
1281         for (i=0;i<nz-1;i++) {
1282           PetscScalar vals[2];
1283           PetscInt    cols[2];
1284 
1285           /* TODO: add quadrature */
1286           cols[0] = idxs[i];
1287           cols[1] = idxs[nz-1];
1288           vals[0] = 1.;
1289           vals[1] = 1./nz;
1290           ierr = MatSetValues(pcbddc->benign_change,1,idxs+i,2,cols,vals,INSERT_VALUES);CHKERRQ(ierr);
1291         }
1292         ierr = PetscMalloc1(nz,&array);CHKERRQ(ierr);
1293         for (i=0;i<nz-1;i++) array[i] = -1.;
1294         array[nz-1] = 1./nz;
1295         ierr = MatSetValues(pcbddc->benign_change,1,idxs+nz-1,nz,idxs,array,INSERT_VALUES);CHKERRQ(ierr);
1296         ierr = PetscFree(array);CHKERRQ(ierr);
1297         ierr = MatAssemblyBegin(pcbddc->benign_change,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1298         ierr = MatAssemblyEnd(pcbddc->benign_change,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1299         /* TODO: need optimization? */
1300         ierr = MatPtAP(matis->A,pcbddc->benign_change,MAT_INITIAL_MATRIX,2.0,&pcbddc->local_mat);CHKERRQ(ierr);
1301         if (!PetscGlobalRank) printf("Local MAT\n");
1302         if (!PetscGlobalRank) MatView(matis->A,NULL);
1303         if (!PetscGlobalRank) printf("Local pressure change\n");
1304         if (!PetscGlobalRank) MatView(pcbddc->benign_change,NULL);
1305         if (!PetscGlobalRank) printf("Local AFTER CHANGE\n");
1306         if (!PetscGlobalRank) MatView(pcbddc->local_mat,NULL);
1307         ierr = ISRestoreIndices(pcbddc->zerodiag,&idxs);CHKERRQ(ierr);
1308         ierr = ISRestoreIndices(zerodiagc,&idxsc);CHKERRQ(ierr);
1309         ierr = ISDestroy(&zerodiagc);CHKERRQ(ierr);
1310         /* pop B0 mat from pcbddc->local_mat */
1311         ierr = PCBDDCBenignPopOrPushB0(pc,PETSC_TRUE);CHKERRQ(ierr);
1312         if (!PetscGlobalRank) printf("REMOVED AND B0\n");
1313         if (!PetscGlobalRank) MatView(pcbddc->local_mat,NULL);
1314         if (!PetscGlobalRank) {
1315           for (i=0;i<pcbddc->B0_ncol;i++) printf("%d %f\n",pcbddc->B0_cols[i],pcbddc->B0_vals[i]);
1316         }
1317       } else { /* this is unlikely to happen */
1318         ierr = PetscObjectReference((PetscObject)matis->A);CHKERRQ(ierr);
1319         pcbddc->local_mat = matis->A;
1320       }
1321     }
1322   }
1323 
1324   /* workaround for reals */
1325 #if !defined(PETSC_USE_COMPLEX)
1326   if (matis->A->symmetric_set) {
1327     ierr = MatSetOption(pcbddc->local_mat,MAT_HERMITIAN,matis->A->symmetric);CHKERRQ(ierr);
1328   }
1329 #endif
1330 
1331   /* Set up all the "iterative substructuring" common block without computing solvers */
1332   {
1333     Mat temp_mat;
1334 
1335     temp_mat = matis->A;
1336     matis->A = pcbddc->local_mat;
1337     ierr = PCISSetUp(pc,PETSC_FALSE);CHKERRQ(ierr);
1338     pcbddc->local_mat = matis->A;
1339     matis->A = temp_mat;
1340       if (!PetscGlobalRank) printf("IS_I_LOCAL\n");
1341       if (!PetscGlobalRank) { PC_IS* pcis=(PC_IS*)(pc->data); ISView(pcis->is_I_local,NULL); }
1342   }
1343 
1344   /* Analyze interface */
1345   if (computetopography) {
1346     ierr = PCBDDCAnalyzeInterface(pc);CHKERRQ(ierr);
1347     computeconstraintsmatrix = PETSC_TRUE;
1348   }
1349 
1350   /* Setup local dirichlet solver ksp_D and sub_schurs solvers */
1351   if (computesolvers) {
1352     PCBDDCSubSchurs sub_schurs=pcbddc->sub_schurs;
1353 
1354     if (computesubschurs && computetopography) {
1355       ierr = PCBDDCInitSubSchurs(pc);CHKERRQ(ierr);
1356     }
1357     if (sub_schurs->use_mumps) {
1358       if (computesubschurs) {
1359         ierr = PCBDDCSetUpSubSchurs(pc);CHKERRQ(ierr);
1360       }
1361       ierr = PCBDDCSetUpLocalSolvers(pc,PETSC_TRUE,PETSC_FALSE);CHKERRQ(ierr);
1362     } else {
1363       ierr = PCBDDCSetUpLocalSolvers(pc,PETSC_TRUE,PETSC_FALSE);CHKERRQ(ierr);
1364       if (computesubschurs) {
1365         ierr = PCBDDCSetUpSubSchurs(pc);CHKERRQ(ierr);
1366       }
1367     }
1368     if (pcbddc->adaptive_selection) {
1369       ierr = PCBDDCAdaptiveSelection(pc);CHKERRQ(ierr);
1370       computeconstraintsmatrix = PETSC_TRUE;
1371     }
1372   }
1373 
1374   /* infer if NullSpace object attached to Mat via MatSetNearNullSpace has changed */
1375   new_nearnullspace_provided = PETSC_FALSE;
1376   ierr = MatGetNearNullSpace(pc->pmat,&nearnullspace);CHKERRQ(ierr);
1377   if (pcbddc->onearnullspace) { /* already used nearnullspace */
1378     if (!nearnullspace) { /* near null space attached to mat has been destroyed */
1379       new_nearnullspace_provided = PETSC_TRUE;
1380     } else {
1381       /* determine if the two nullspaces are different (should be lightweight) */
1382       if (nearnullspace != pcbddc->onearnullspace) {
1383         new_nearnullspace_provided = PETSC_TRUE;
1384       } else { /* maybe the user has changed the content of the nearnullspace so check vectors ObjectStateId */
1385         PetscInt         i;
1386         const Vec        *nearnullvecs;
1387         PetscObjectState state;
1388         PetscInt         nnsp_size;
1389         ierr = MatNullSpaceGetVecs(nearnullspace,NULL,&nnsp_size,&nearnullvecs);CHKERRQ(ierr);
1390         for (i=0;i<nnsp_size;i++) {
1391           ierr = PetscObjectStateGet((PetscObject)nearnullvecs[i],&state);CHKERRQ(ierr);
1392           if (pcbddc->onearnullvecs_state[i] != state) {
1393             new_nearnullspace_provided = PETSC_TRUE;
1394             break;
1395           }
1396         }
1397       }
1398     }
1399   } else {
1400     if (!nearnullspace) { /* both nearnullspaces are null */
1401       new_nearnullspace_provided = PETSC_FALSE;
1402     } else { /* nearnullspace attached later */
1403       new_nearnullspace_provided = PETSC_TRUE;
1404     }
1405   }
1406 
1407   /* Setup constraints and related work vectors */
1408   /* reset primal space flags */
1409   pcbddc->new_primal_space = PETSC_FALSE;
1410   pcbddc->new_primal_space_local = PETSC_FALSE;
1411   if (computeconstraintsmatrix || new_nearnullspace_provided) {
1412     /* It also sets the primal space flags */
1413     ierr = PCBDDCConstraintsSetUp(pc);CHKERRQ(ierr);
1414     /* Allocate needed local vectors (which depends on quantities defined during ConstraintsSetUp) */
1415     ierr = PCBDDCSetUpLocalWorkVectors(pc);CHKERRQ(ierr);
1416   }
1417 
1418   if (computesolvers || pcbddc->new_primal_space) {
1419     if (pcbddc->use_change_of_basis) {
1420       PC_IS *pcis = (PC_IS*)(pc->data);
1421       Mat   temp_mat = NULL;
1422 
1423       if (pcbddc->zerodiag) {
1424         /* insert B0 in pcbddc->local_mat */
1425         ierr = PCBDDCBenignPopOrPushB0(pc,PETSC_FALSE);CHKERRQ(ierr);
1426         /* hack: swap pointers */
1427         temp_mat = matis->A;
1428         matis->A = pcbddc->local_mat;
1429         pcbddc->local_mat = NULL;
1430       }
1431       ierr = PCBDDCComputeLocalMatrix(pc,pcbddc->ChangeOfBasisMatrix);CHKERRQ(ierr);
1432       if (pcbddc->zerodiag) {
1433         /* restore original matrix */
1434         ierr = MatDestroy(&matis->A);CHKERRQ(ierr);
1435         matis->A = temp_mat;
1436         /* pop B0 from pcbddc->local_mat */
1437         ierr = PCBDDCBenignPopOrPushB0(pc,PETSC_TRUE);CHKERRQ(ierr);
1438       }
1439       /* get submatrices */
1440       ierr = MatDestroy(&pcis->A_IB);CHKERRQ(ierr);
1441       ierr = MatDestroy(&pcis->A_BI);CHKERRQ(ierr);
1442       ierr = MatDestroy(&pcis->A_BB);CHKERRQ(ierr);
1443       ierr = MatGetSubMatrix(pcbddc->local_mat,pcis->is_B_local,pcis->is_B_local,MAT_INITIAL_MATRIX,&pcis->A_BB);CHKERRQ(ierr);
1444       ierr = MatGetSubMatrix(pcbddc->local_mat,pcis->is_I_local,pcis->is_B_local,MAT_INITIAL_MATRIX,&pcis->A_IB);CHKERRQ(ierr);
1445       ierr = MatGetSubMatrix(pcbddc->local_mat,pcis->is_B_local,pcis->is_I_local,MAT_INITIAL_MATRIX,&pcis->A_BI);CHKERRQ(ierr);
1446       /* set flag in pcis to not reuse submatrices during PCISCreate */
1447       pcis->reusesubmatrices = PETSC_FALSE;
1448     } else if (!pcbddc->user_ChangeOfBasisMatrix) {
1449       ierr = MatDestroy(&pcbddc->local_mat);CHKERRQ(ierr);
1450       ierr = PetscObjectReference((PetscObject)matis->A);CHKERRQ(ierr);
1451       pcbddc->local_mat = matis->A;
1452     }
1453     /* SetUp coarse and local Neumann solvers */
1454     ierr = PCBDDCSetUpSolvers(pc);CHKERRQ(ierr);
1455     /* SetUp Scaling operator */
1456     ierr = PCBDDCScalingSetUp(pc);CHKERRQ(ierr);
1457   }
1458 
1459   if (pcbddc->zerodiag) {
1460     /* insert B0 in pcbddc->local_mat */
1461     ierr = PCBDDCBenignPopOrPushB0(pc,PETSC_FALSE);CHKERRQ(ierr);
1462   }
1463 
1464   if (pcbddc->dbg_flag) {
1465     ierr = PetscViewerASCIISubtractTab(pcbddc->dbg_viewer,2*pcbddc->current_level);CHKERRQ(ierr);
1466   }
1467   PetscFunctionReturn(0);
1468 }
1469 
1470 /* -------------------------------------------------------------------------- */
1471 /*
1472    PCApply_BDDC - Applies the BDDC operator to a vector.
1473 
1474    Input Parameters:
1475 +  pc - the preconditioner context
1476 -  r - input vector (global)
1477 
1478    Output Parameter:
1479 .  z - output vector (global)
1480 
1481    Application Interface Routine: PCApply()
1482  */
1483 #undef __FUNCT__
1484 #define __FUNCT__ "PCApply_BDDC"
1485 PetscErrorCode PCApply_BDDC(PC pc,Vec r,Vec z)
1486 {
1487   PC_IS             *pcis = (PC_IS*)(pc->data);
1488   PC_BDDC           *pcbddc = (PC_BDDC*)(pc->data);
1489   PetscInt          n_B = pcis->n_B, n_D = pcis->n - n_B;
1490   PetscErrorCode    ierr;
1491   const PetscScalar one = 1.0;
1492   const PetscScalar m_one = -1.0;
1493   const PetscScalar zero = 0.0;
1494 
1495 /* This code is similar to that provided in nn.c for PCNN
1496    NN interface preconditioner changed to BDDC
1497    Added support for M_3 preconditioner in the reference article (code is active if pcbddc->switch_static == PETSC_TRUE) */
1498 
1499   PetscFunctionBegin;
1500   if (!pcbddc->use_exact_dirichlet_trick) {
1501     ierr = VecCopy(r,z);CHKERRQ(ierr);
1502     /* First Dirichlet solve */
1503     ierr = VecScatterBegin(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1504     ierr = VecScatterEnd(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1505     /*
1506       Assembling right hand side for BDDC operator
1507       - pcis->vec1_D for the Dirichlet part (if needed, i.e. pcbddc->switch_static == PETSC_TRUE)
1508       - pcis->vec1_B the interface part of the global vector z
1509     */
1510     if (n_D) {
1511       ierr = KSPSolve(pcbddc->ksp_D,pcis->vec1_D,pcis->vec2_D);CHKERRQ(ierr);
1512       ierr = VecScale(pcis->vec2_D,m_one);CHKERRQ(ierr);
1513       if (pcbddc->switch_static) { ierr = MatMultAdd(pcis->A_II,pcis->vec2_D,pcis->vec1_D,pcis->vec1_D);CHKERRQ(ierr); }
1514       ierr = MatMult(pcis->A_BI,pcis->vec2_D,pcis->vec1_B);CHKERRQ(ierr);
1515     } else {
1516       ierr = VecSet(pcis->vec1_B,zero);CHKERRQ(ierr);
1517     }
1518     ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1519     ierr = VecScatterEnd(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1520     ierr = PCBDDCScalingRestriction(pc,z,pcis->vec1_B);CHKERRQ(ierr);
1521   } else {
1522     if (pcbddc->switch_static) {
1523       ierr = VecSet(pcis->vec1_D,zero);CHKERRQ(ierr);
1524     }
1525     ierr = PCBDDCScalingRestriction(pc,r,pcis->vec1_B);CHKERRQ(ierr);
1526   }
1527 
1528   /* Apply interface preconditioner
1529      input/output vecs: pcis->vec1_B and pcis->vec1_D */
1530   ierr = PCBDDCApplyInterfacePreconditioner(pc,PETSC_FALSE);CHKERRQ(ierr);
1531 
1532   /* Apply transpose of partition of unity operator */
1533   ierr = PCBDDCScalingExtension(pc,pcis->vec1_B,z);CHKERRQ(ierr);
1534 
1535   /* Second Dirichlet solve and assembling of output */
1536   ierr = VecScatterBegin(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1537   ierr = VecScatterEnd(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1538   if (n_B) {
1539     ierr = MatMult(pcis->A_IB,pcis->vec1_B,pcis->vec3_D);CHKERRQ(ierr);
1540     if (pcbddc->switch_static) { ierr = MatMultAdd(pcis->A_II,pcis->vec1_D,pcis->vec3_D,pcis->vec3_D);CHKERRQ(ierr); }
1541   } else if (pcbddc->switch_static) {
1542     ierr = MatMult(pcis->A_II,pcis->vec1_D,pcis->vec3_D);CHKERRQ(ierr);
1543   }
1544   ierr = KSPSolve(pcbddc->ksp_D,pcis->vec3_D,pcis->vec4_D);CHKERRQ(ierr);
1545   if (!pcbddc->use_exact_dirichlet_trick) {
1546     if (pcbddc->switch_static) {
1547       ierr = VecAXPBYPCZ(pcis->vec2_D,m_one,one,m_one,pcis->vec4_D,pcis->vec1_D);CHKERRQ(ierr);
1548     } else {
1549       ierr = VecAXPBY(pcis->vec2_D,m_one,m_one,pcis->vec4_D);CHKERRQ(ierr);
1550     }
1551     ierr = VecScatterBegin(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1552     ierr = VecScatterEnd(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1553   } else {
1554     if (pcbddc->switch_static) {
1555       ierr = VecAXPBY(pcis->vec4_D,one,m_one,pcis->vec1_D);CHKERRQ(ierr);
1556     } else {
1557       ierr = VecScale(pcis->vec4_D,m_one);CHKERRQ(ierr);
1558     }
1559     ierr = VecScatterBegin(pcis->global_to_D,pcis->vec4_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1560     ierr = VecScatterEnd(pcis->global_to_D,pcis->vec4_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1561   }
1562   PetscFunctionReturn(0);
1563 }
1564 
1565 /* -------------------------------------------------------------------------- */
1566 /*
1567    PCApplyTranspose_BDDC - Applies the transpose of the BDDC operator to a vector.
1568 
1569    Input Parameters:
1570 +  pc - the preconditioner context
1571 -  r - input vector (global)
1572 
1573    Output Parameter:
1574 .  z - output vector (global)
1575 
1576    Application Interface Routine: PCApplyTranspose()
1577  */
1578 #undef __FUNCT__
1579 #define __FUNCT__ "PCApplyTranspose_BDDC"
1580 PetscErrorCode PCApplyTranspose_BDDC(PC pc,Vec r,Vec z)
1581 {
1582   PC_IS             *pcis = (PC_IS*)(pc->data);
1583   PC_BDDC           *pcbddc = (PC_BDDC*)(pc->data);
1584   PetscInt          n_B = pcis->n_B, n_D = pcis->n - n_B;
1585   PetscErrorCode    ierr;
1586   const PetscScalar one = 1.0;
1587   const PetscScalar m_one = -1.0;
1588   const PetscScalar zero = 0.0;
1589 
1590   PetscFunctionBegin;
1591   if (!pcbddc->use_exact_dirichlet_trick) {
1592     ierr = VecCopy(r,z);CHKERRQ(ierr);
1593     /* First Dirichlet solve */
1594     ierr = VecScatterBegin(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1595     ierr = VecScatterEnd(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1596     /*
1597       Assembling right hand side for BDDC operator
1598       - pcis->vec1_D for the Dirichlet part (if needed, i.e. pcbddc->switch_static == PETSC_TRUE)
1599       - pcis->vec1_B the interface part of the global vector z
1600     */
1601     if (n_D) {
1602       ierr = KSPSolveTranspose(pcbddc->ksp_D,pcis->vec1_D,pcis->vec2_D);CHKERRQ(ierr);
1603       ierr = VecScale(pcis->vec2_D,m_one);CHKERRQ(ierr);
1604       if (pcbddc->switch_static) { ierr = MatMultTransposeAdd(pcis->A_II,pcis->vec2_D,pcis->vec1_D,pcis->vec1_D);CHKERRQ(ierr); }
1605       ierr = MatMultTranspose(pcis->A_IB,pcis->vec2_D,pcis->vec1_B);CHKERRQ(ierr);
1606     } else {
1607       ierr = VecSet(pcis->vec1_B,zero);CHKERRQ(ierr);
1608     }
1609     ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1610     ierr = VecScatterEnd(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1611     ierr = PCBDDCScalingRestriction(pc,z,pcis->vec1_B);CHKERRQ(ierr);
1612   } else {
1613     if (pcbddc->switch_static) {
1614       ierr = VecSet(pcis->vec1_D,zero);CHKERRQ(ierr);
1615     }
1616     ierr = PCBDDCScalingRestriction(pc,r,pcis->vec1_B);CHKERRQ(ierr);
1617   }
1618 
1619   /* Apply interface preconditioner
1620      input/output vecs: pcis->vec1_B and pcis->vec1_D */
1621   ierr = PCBDDCApplyInterfacePreconditioner(pc,PETSC_TRUE);CHKERRQ(ierr);
1622 
1623   /* Apply transpose of partition of unity operator */
1624   ierr = PCBDDCScalingExtension(pc,pcis->vec1_B,z);CHKERRQ(ierr);
1625 
1626   /* Second Dirichlet solve and assembling of output */
1627   ierr = VecScatterBegin(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1628   ierr = VecScatterEnd(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1629   if (n_B) {
1630     ierr = MatMultTranspose(pcis->A_BI,pcis->vec1_B,pcis->vec3_D);CHKERRQ(ierr);
1631     if (pcbddc->switch_static) { ierr = MatMultTransposeAdd(pcis->A_II,pcis->vec1_D,pcis->vec3_D,pcis->vec3_D);CHKERRQ(ierr); }
1632   } else if (pcbddc->switch_static) {
1633     ierr = MatMultTranspose(pcis->A_II,pcis->vec1_D,pcis->vec3_D);CHKERRQ(ierr);
1634   }
1635   ierr = KSPSolveTranspose(pcbddc->ksp_D,pcis->vec3_D,pcis->vec4_D);CHKERRQ(ierr);
1636   if (!pcbddc->use_exact_dirichlet_trick) {
1637     if (pcbddc->switch_static) {
1638       ierr = VecAXPBYPCZ(pcis->vec2_D,m_one,one,m_one,pcis->vec4_D,pcis->vec1_D);CHKERRQ(ierr);
1639     } else {
1640       ierr = VecAXPBY(pcis->vec2_D,m_one,m_one,pcis->vec4_D);CHKERRQ(ierr);
1641     }
1642     ierr = VecScatterBegin(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1643     ierr = VecScatterEnd(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1644   } else {
1645     if (pcbddc->switch_static) {
1646       ierr = VecAXPBY(pcis->vec4_D,one,m_one,pcis->vec1_D);CHKERRQ(ierr);
1647     } else {
1648       ierr = VecScale(pcis->vec4_D,m_one);CHKERRQ(ierr);
1649     }
1650     ierr = VecScatterBegin(pcis->global_to_D,pcis->vec4_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1651     ierr = VecScatterEnd(pcis->global_to_D,pcis->vec4_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1652   }
1653   PetscFunctionReturn(0);
1654 }
1655 /* -------------------------------------------------------------------------- */
1656 
1657 #undef __FUNCT__
1658 #define __FUNCT__ "PCDestroy_BDDC"
1659 PetscErrorCode PCDestroy_BDDC(PC pc)
1660 {
1661   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
1662   PetscErrorCode ierr;
1663 
1664   PetscFunctionBegin;
1665   /* free data created by PCIS */
1666   ierr = PCISDestroy(pc);CHKERRQ(ierr);
1667   /* free BDDC custom data  */
1668   ierr = PCBDDCResetCustomization(pc);CHKERRQ(ierr);
1669   /* destroy objects related to topography */
1670   ierr = PCBDDCResetTopography(pc);CHKERRQ(ierr);
1671   /* free allocated graph structure */
1672   ierr = PetscFree(pcbddc->mat_graph);CHKERRQ(ierr);
1673   /* free allocated sub schurs structure */
1674   ierr = PetscFree(pcbddc->sub_schurs);CHKERRQ(ierr);
1675   /* destroy objects for scaling operator */
1676   ierr = PCBDDCScalingDestroy(pc);CHKERRQ(ierr);
1677   ierr = PetscFree(pcbddc->deluxe_ctx);CHKERRQ(ierr);
1678   /* free solvers stuff */
1679   ierr = PCBDDCResetSolvers(pc);CHKERRQ(ierr);
1680   /* free global vectors needed in presolve */
1681   ierr = VecDestroy(&pcbddc->temp_solution);CHKERRQ(ierr);
1682   ierr = VecDestroy(&pcbddc->original_rhs);CHKERRQ(ierr);
1683   /* free stuff for change of basis hooks */
1684   if (pcbddc->new_global_mat) {
1685     PCBDDCChange_ctx change_ctx;
1686     ierr = MatShellGetContext(pcbddc->new_global_mat,&change_ctx);CHKERRQ(ierr);
1687     ierr = MatDestroy(&change_ctx->original_mat);CHKERRQ(ierr);
1688     ierr = MatDestroy(&change_ctx->global_change);CHKERRQ(ierr);
1689     ierr = VecDestroyVecs(2,&change_ctx->work);CHKERRQ(ierr);
1690     ierr = PetscFree(change_ctx);CHKERRQ(ierr);
1691   }
1692   ierr = MatDestroy(&pcbddc->new_global_mat);CHKERRQ(ierr);
1693   /* remove functions */
1694   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetChangeOfBasisMat_C",NULL);CHKERRQ(ierr);
1695   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetPrimalVerticesLocalIS_C",NULL);CHKERRQ(ierr);
1696   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetCoarseningRatio_C",NULL);CHKERRQ(ierr);
1697   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevel_C",NULL);CHKERRQ(ierr);
1698   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetUseExactDirichlet_C",NULL);CHKERRQ(ierr);
1699   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevels_C",NULL);CHKERRQ(ierr);
1700   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNullSpace_C",NULL);CHKERRQ(ierr);
1701   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundaries_C",NULL);CHKERRQ(ierr);
1702   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundariesLocal_C",NULL);CHKERRQ(ierr);
1703   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundaries_C",NULL);CHKERRQ(ierr);
1704   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundariesLocal_C",NULL);CHKERRQ(ierr);
1705   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundaries_C",NULL);CHKERRQ(ierr);
1706   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundariesLocal_C",NULL);CHKERRQ(ierr);
1707   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundaries_C",NULL);CHKERRQ(ierr);
1708   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundariesLocal_C",NULL);CHKERRQ(ierr);
1709   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplitting_C",NULL);CHKERRQ(ierr);
1710   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplittingLocal_C",NULL);CHKERRQ(ierr);
1711   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLocalAdjacencyGraph_C",NULL);CHKERRQ(ierr);
1712   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCCreateFETIDPOperators_C",NULL);CHKERRQ(ierr);
1713   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetRHS_C",NULL);CHKERRQ(ierr);
1714   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetSolution_C",NULL);CHKERRQ(ierr);
1715   /* Free the private data structure */
1716   ierr = PetscFree(pc->data);CHKERRQ(ierr);
1717   PetscFunctionReturn(0);
1718 }
1719 /* -------------------------------------------------------------------------- */
1720 
1721 #undef __FUNCT__
1722 #define __FUNCT__ "PCBDDCMatFETIDPGetRHS_BDDC"
1723 static PetscErrorCode PCBDDCMatFETIDPGetRHS_BDDC(Mat fetidp_mat, Vec standard_rhs, Vec fetidp_flux_rhs)
1724 {
1725   FETIDPMat_ctx  mat_ctx;
1726   Vec            copy_standard_rhs;
1727   PC_IS*         pcis;
1728   PC_BDDC*       pcbddc;
1729   PetscErrorCode ierr;
1730 
1731   PetscFunctionBegin;
1732   ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr);
1733   pcis = (PC_IS*)mat_ctx->pc->data;
1734   pcbddc = (PC_BDDC*)mat_ctx->pc->data;
1735 
1736   /*
1737      change of basis for physical rhs if needed
1738      It also changes the rhs in case of dirichlet boundaries
1739      TODO: better management when FETIDP will have its own class
1740   */
1741   ierr = VecDuplicate(standard_rhs,&copy_standard_rhs);CHKERRQ(ierr);
1742   ierr = VecCopy(standard_rhs,copy_standard_rhs);CHKERRQ(ierr);
1743   ierr = PCPreSolve_BDDC(mat_ctx->pc,NULL,copy_standard_rhs,NULL);CHKERRQ(ierr);
1744   /* store vectors for computation of fetidp final solution */
1745   ierr = VecScatterBegin(pcis->global_to_D,copy_standard_rhs,mat_ctx->temp_solution_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1746   ierr = VecScatterEnd(pcis->global_to_D,copy_standard_rhs,mat_ctx->temp_solution_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1747   /* scale rhs since it should be unassembled */
1748   /* TODO use counter scaling? (also below) */
1749   ierr = VecScatterBegin(pcis->global_to_B,copy_standard_rhs,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1750   ierr = VecScatterEnd(pcis->global_to_B,copy_standard_rhs,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1751   /* Apply partition of unity */
1752   ierr = VecPointwiseMult(mat_ctx->temp_solution_B,pcis->D,mat_ctx->temp_solution_B);CHKERRQ(ierr);
1753   /* ierr = PCBDDCScalingRestriction(mat_ctx->pc,copy_standard_rhs,mat_ctx->temp_solution_B);CHKERRQ(ierr); */
1754   if (!pcbddc->switch_static) {
1755     /* compute partially subassembled Schur complement right-hand side */
1756     ierr = KSPSolve(pcbddc->ksp_D,mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr);
1757     ierr = MatMult(pcis->A_BI,pcis->vec1_D,pcis->vec1_B);CHKERRQ(ierr);
1758     ierr = VecAXPY(mat_ctx->temp_solution_B,-1.0,pcis->vec1_B);CHKERRQ(ierr);
1759     ierr = VecSet(copy_standard_rhs,0.0);CHKERRQ(ierr);
1760     ierr = VecScatterBegin(pcis->global_to_B,mat_ctx->temp_solution_B,copy_standard_rhs,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1761     ierr = VecScatterEnd(pcis->global_to_B,mat_ctx->temp_solution_B,copy_standard_rhs,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1762     /* ierr = PCBDDCScalingRestriction(mat_ctx->pc,copy_standard_rhs,mat_ctx->temp_solution_B);CHKERRQ(ierr); */
1763     ierr = VecScatterBegin(pcis->global_to_B,copy_standard_rhs,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1764     ierr = VecScatterEnd(pcis->global_to_B,copy_standard_rhs,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1765     ierr = VecPointwiseMult(mat_ctx->temp_solution_B,pcis->D,mat_ctx->temp_solution_B);CHKERRQ(ierr);
1766   }
1767   ierr = VecDestroy(&copy_standard_rhs);CHKERRQ(ierr);
1768   /* BDDC rhs */
1769   ierr = VecCopy(mat_ctx->temp_solution_B,pcis->vec1_B);CHKERRQ(ierr);
1770   if (pcbddc->switch_static) {
1771     ierr = VecCopy(mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr);
1772   }
1773   /* apply BDDC */
1774   ierr = PCBDDCApplyInterfacePreconditioner(mat_ctx->pc,PETSC_FALSE);CHKERRQ(ierr);
1775   /* Application of B_delta and assembling of rhs for fetidp fluxes */
1776   ierr = VecSet(fetidp_flux_rhs,0.0);CHKERRQ(ierr);
1777   ierr = MatMult(mat_ctx->B_delta,pcis->vec1_B,mat_ctx->lambda_local);CHKERRQ(ierr);
1778   ierr = VecScatterBegin(mat_ctx->l2g_lambda,mat_ctx->lambda_local,fetidp_flux_rhs,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1779   ierr = VecScatterEnd(mat_ctx->l2g_lambda,mat_ctx->lambda_local,fetidp_flux_rhs,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1780   PetscFunctionReturn(0);
1781 }
1782 
1783 #undef __FUNCT__
1784 #define __FUNCT__ "PCBDDCMatFETIDPGetRHS"
1785 /*@
1786  PCBDDCMatFETIDPGetRHS - Compute the right-hand side for FETI-DP linear system using the physical right-hand side
1787 
1788    Collective
1789 
1790    Input Parameters:
1791 +  fetidp_mat      - the FETI-DP matrix object obtained by a call to PCBDDCCreateFETIDPOperators
1792 -  standard_rhs    - the right-hand side of the original linear system
1793 
1794    Output Parameters:
1795 .  fetidp_flux_rhs - the right-hand side for the FETI-DP linear system
1796 
1797    Level: developer
1798 
1799    Notes:
1800 
1801 .seealso: PCBDDC, PCBDDCCreateFETIDPOperators, PCBDDCMatFETIDPGetSolution
1802 @*/
1803 PetscErrorCode PCBDDCMatFETIDPGetRHS(Mat fetidp_mat, Vec standard_rhs, Vec fetidp_flux_rhs)
1804 {
1805   FETIDPMat_ctx  mat_ctx;
1806   PetscErrorCode ierr;
1807 
1808   PetscFunctionBegin;
1809   ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr);
1810   ierr = PetscTryMethod(mat_ctx->pc,"PCBDDCMatFETIDPGetRHS_C",(Mat,Vec,Vec),(fetidp_mat,standard_rhs,fetidp_flux_rhs));CHKERRQ(ierr);
1811   PetscFunctionReturn(0);
1812 }
1813 /* -------------------------------------------------------------------------- */
1814 
1815 #undef __FUNCT__
1816 #define __FUNCT__ "PCBDDCMatFETIDPGetSolution_BDDC"
1817 static PetscErrorCode PCBDDCMatFETIDPGetSolution_BDDC(Mat fetidp_mat, Vec fetidp_flux_sol, Vec standard_sol)
1818 {
1819   FETIDPMat_ctx  mat_ctx;
1820   PC_IS*         pcis;
1821   PC_BDDC*       pcbddc;
1822   PetscErrorCode ierr;
1823 
1824   PetscFunctionBegin;
1825   ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr);
1826   pcis = (PC_IS*)mat_ctx->pc->data;
1827   pcbddc = (PC_BDDC*)mat_ctx->pc->data;
1828 
1829   /* apply B_delta^T */
1830   ierr = VecScatterBegin(mat_ctx->l2g_lambda,fetidp_flux_sol,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1831   ierr = VecScatterEnd  (mat_ctx->l2g_lambda,fetidp_flux_sol,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1832   ierr = MatMultTranspose(mat_ctx->B_delta,mat_ctx->lambda_local,pcis->vec1_B);CHKERRQ(ierr);
1833   /* compute rhs for BDDC application */
1834   ierr = VecAYPX(pcis->vec1_B,-1.0,mat_ctx->temp_solution_B);CHKERRQ(ierr);
1835   if (pcbddc->switch_static) {
1836     ierr = VecCopy(mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr);
1837   }
1838   /* apply BDDC */
1839   ierr = PCBDDCApplyInterfacePreconditioner(mat_ctx->pc,PETSC_FALSE);CHKERRQ(ierr);
1840   /* put values into standard global vector */
1841   ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_B,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1842   ierr = VecScatterEnd  (pcis->global_to_B,pcis->vec1_B,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1843   if (!pcbddc->switch_static) {
1844     /* compute values into the interior if solved for the partially subassembled Schur complement */
1845     ierr = MatMult(pcis->A_IB,pcis->vec1_B,pcis->vec1_D);CHKERRQ(ierr);
1846     ierr = VecAXPY(mat_ctx->temp_solution_D,-1.0,pcis->vec1_D);CHKERRQ(ierr);
1847     ierr = KSPSolve(pcbddc->ksp_D,mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr);
1848   }
1849   ierr = VecScatterBegin(pcis->global_to_D,pcis->vec1_D,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1850   ierr = VecScatterEnd  (pcis->global_to_D,pcis->vec1_D,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1851   /* final change of basis if needed
1852      Is also sums the dirichlet part removed during RHS assembling */
1853   ierr = PCPostSolve_BDDC(mat_ctx->pc,NULL,NULL,standard_sol);CHKERRQ(ierr);
1854   PetscFunctionReturn(0);
1855 }
1856 
1857 #undef __FUNCT__
1858 #define __FUNCT__ "PCBDDCMatFETIDPGetSolution"
1859 /*@
1860  PCBDDCMatFETIDPGetSolution - Compute the physical solution using the solution of the FETI-DP linear system
1861 
1862    Collective
1863 
1864    Input Parameters:
1865 +  fetidp_mat      - the FETI-DP matrix obtained by a call to PCBDDCCreateFETIDPOperators
1866 -  fetidp_flux_sol - the solution of the FETI-DP linear system
1867 
1868    Output Parameters:
1869 .  standard_sol    - the solution defined on the physical domain
1870 
1871    Level: developer
1872 
1873    Notes:
1874 
1875 .seealso: PCBDDC, PCBDDCCreateFETIDPOperators, PCBDDCMatFETIDPGetRHS
1876 @*/
1877 PetscErrorCode PCBDDCMatFETIDPGetSolution(Mat fetidp_mat, Vec fetidp_flux_sol, Vec standard_sol)
1878 {
1879   FETIDPMat_ctx  mat_ctx;
1880   PetscErrorCode ierr;
1881 
1882   PetscFunctionBegin;
1883   ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr);
1884   ierr = PetscTryMethod(mat_ctx->pc,"PCBDDCMatFETIDPGetSolution_C",(Mat,Vec,Vec),(fetidp_mat,fetidp_flux_sol,standard_sol));CHKERRQ(ierr);
1885   PetscFunctionReturn(0);
1886 }
1887 /* -------------------------------------------------------------------------- */
1888 
1889 extern PetscErrorCode FETIDPMatMult(Mat,Vec,Vec);
1890 extern PetscErrorCode FETIDPMatMultTranspose(Mat,Vec,Vec);
1891 extern PetscErrorCode PCBDDCDestroyFETIDPMat(Mat);
1892 extern PetscErrorCode FETIDPPCApply(PC,Vec,Vec);
1893 extern PetscErrorCode FETIDPPCApplyTranspose(PC,Vec,Vec);
1894 extern PetscErrorCode PCBDDCDestroyFETIDPPC(PC);
1895 
1896 #undef __FUNCT__
1897 #define __FUNCT__ "PCBDDCCreateFETIDPOperators_BDDC"
1898 static PetscErrorCode PCBDDCCreateFETIDPOperators_BDDC(PC pc, Mat *fetidp_mat, PC *fetidp_pc)
1899 {
1900 
1901   FETIDPMat_ctx  fetidpmat_ctx;
1902   Mat            newmat;
1903   FETIDPPC_ctx   fetidppc_ctx;
1904   PC             newpc;
1905   MPI_Comm       comm;
1906   PetscErrorCode ierr;
1907 
1908   PetscFunctionBegin;
1909   ierr = PetscObjectGetComm((PetscObject)pc,&comm);CHKERRQ(ierr);
1910   /* FETIDP linear matrix */
1911   ierr = PCBDDCCreateFETIDPMatContext(pc,&fetidpmat_ctx);CHKERRQ(ierr);
1912   ierr = PCBDDCSetupFETIDPMatContext(fetidpmat_ctx);CHKERRQ(ierr);
1913   ierr = MatCreateShell(comm,PETSC_DECIDE,PETSC_DECIDE,fetidpmat_ctx->n_lambda,fetidpmat_ctx->n_lambda,fetidpmat_ctx,&newmat);CHKERRQ(ierr);
1914   ierr = MatShellSetOperation(newmat,MATOP_MULT,(void (*)(void))FETIDPMatMult);CHKERRQ(ierr);
1915   ierr = MatShellSetOperation(newmat,MATOP_MULT_TRANSPOSE,(void (*)(void))FETIDPMatMultTranspose);CHKERRQ(ierr);
1916   ierr = MatShellSetOperation(newmat,MATOP_DESTROY,(void (*)(void))PCBDDCDestroyFETIDPMat);CHKERRQ(ierr);
1917   ierr = MatSetUp(newmat);CHKERRQ(ierr);
1918   /* FETIDP preconditioner */
1919   ierr = PCBDDCCreateFETIDPPCContext(pc,&fetidppc_ctx);CHKERRQ(ierr);
1920   ierr = PCBDDCSetupFETIDPPCContext(newmat,fetidppc_ctx);CHKERRQ(ierr);
1921   ierr = PCCreate(comm,&newpc);CHKERRQ(ierr);
1922   ierr = PCSetType(newpc,PCSHELL);CHKERRQ(ierr);
1923   ierr = PCShellSetContext(newpc,fetidppc_ctx);CHKERRQ(ierr);
1924   ierr = PCShellSetApply(newpc,FETIDPPCApply);CHKERRQ(ierr);
1925   ierr = PCShellSetApplyTranspose(newpc,FETIDPPCApplyTranspose);CHKERRQ(ierr);
1926   ierr = PCShellSetDestroy(newpc,PCBDDCDestroyFETIDPPC);CHKERRQ(ierr);
1927   ierr = PCSetOperators(newpc,newmat,newmat);CHKERRQ(ierr);
1928   ierr = PCSetUp(newpc);CHKERRQ(ierr);
1929   /* return pointers for objects created */
1930   *fetidp_mat=newmat;
1931   *fetidp_pc=newpc;
1932   PetscFunctionReturn(0);
1933 }
1934 
1935 #undef __FUNCT__
1936 #define __FUNCT__ "PCBDDCCreateFETIDPOperators"
1937 /*@
1938  PCBDDCCreateFETIDPOperators - Create FETI-DP operators
1939 
1940    Collective
1941 
1942    Input Parameters:
1943 .  pc - the BDDC preconditioning context (setup should have been called before)
1944 
1945    Output Parameters:
1946 +  fetidp_mat - shell FETI-DP matrix object
1947 -  fetidp_pc  - shell Dirichlet preconditioner for FETI-DP matrix
1948 
1949    Options Database Keys:
1950 .    -fetidp_fullyredundant <false> - use or not a fully redundant set of Lagrange multipliers
1951 
1952    Level: developer
1953 
1954    Notes:
1955      Currently the only operations provided for FETI-DP matrix are MatMult and MatMultTranspose
1956 
1957 .seealso: PCBDDC, PCBDDCMatFETIDPGetRHS, PCBDDCMatFETIDPGetSolution
1958 @*/
1959 PetscErrorCode PCBDDCCreateFETIDPOperators(PC pc, Mat *fetidp_mat, PC *fetidp_pc)
1960 {
1961   PetscErrorCode ierr;
1962 
1963   PetscFunctionBegin;
1964   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
1965   if (pc->setupcalled) {
1966     ierr = PetscUseMethod(pc,"PCBDDCCreateFETIDPOperators_C",(PC,Mat*,PC*),(pc,fetidp_mat,fetidp_pc));CHKERRQ(ierr);
1967   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"You must call PCSetup_BDDC() first \n");
1968   PetscFunctionReturn(0);
1969 }
1970 /* -------------------------------------------------------------------------- */
1971 /*MC
1972    PCBDDC - Balancing Domain Decomposition by Constraints.
1973 
1974    An implementation of the BDDC preconditioner based on
1975 
1976 .vb
1977    [1] C. R. Dohrmann. "An approximate BDDC preconditioner", Numerical Linear Algebra with Applications Volume 14, Issue 2, pages 149-168, March 2007
1978    [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
1979    [3] J. Mandel, B. Sousedik, C. R. Dohrmann. "Multispace and Multilevel BDDC", http://arxiv.org/abs/0712.3977
1980    [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
1981 .ve
1982 
1983    The matrix to be preconditioned (Pmat) must be of type MATIS.
1984 
1985    Currently works with MATIS matrices with local matrices of type MATSEQAIJ, MATSEQBAIJ or MATSEQSBAIJ, either with real or complex numbers.
1986 
1987    It also works with unsymmetric and indefinite problems.
1988 
1989    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.
1990 
1991    Approximate local solvers are automatically adapted for singular linear problems (see [1]) if the user has provided the nullspace using PCBDDCSetNullSpace()
1992 
1993    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()
1994    Additional information on dofs can be provided by using PCBDDCSetDofsSplitting(), PCBDDCSetDirichletBoundaries(), PCBDDCSetNeumannBoundaries(), and PCBDDCSetPrimalVerticesLocalIS()
1995 
1996    Constraints can be customized by attaching a MatNullSpace object to the MATIS matrix via MatSetNearNullSpace(). Non-singular modes are retained via SVD.
1997 
1998    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.
1999    User defined change of basis can be passed to PCBDDC by using PCBDDCSetChangeOfBasisMat()
2000 
2001    The PETSc implementation also supports multilevel BDDC [3]. Coarse grids are partitioned using a MatPartitioning object.
2002 
2003    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.
2004 
2005    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.
2006    Deluxe scaling is not supported yet for FETI-DP.
2007 
2008    Options Database Keys (some of them, run with -h for a complete list):
2009 
2010 .    -pc_bddc_use_vertices <true> - use or not vertices in primal space
2011 .    -pc_bddc_use_edges <true> - use or not edges in primal space
2012 .    -pc_bddc_use_faces <false> - use or not faces in primal space
2013 .    -pc_bddc_symmetric <true> - symmetric computation of primal basis functions. Specify false for unsymmetric problems
2014 .    -pc_bddc_use_change_of_basis <false> - use change of basis approach (on edges only)
2015 .    -pc_bddc_use_change_on_faces <false> - use change of basis approach on faces if change of basis has been requested
2016 .    -pc_bddc_switch_static <false> - switches from M_2 (default) to M_3 operator (see reference article [1])
2017 .    -pc_bddc_levels <0> - maximum number of levels for multilevel
2018 .    -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)
2019 .    -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)
2020 .    -pc_bddc_use_deluxe_scaling <false> - use deluxe scaling
2021 .    -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)
2022 .    -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)
2023 -    -pc_bddc_check_level <0> - set verbosity level of debugging output
2024 
2025    Options for Dirichlet, Neumann or coarse solver can be set with
2026 .vb
2027       -pc_bddc_dirichlet_
2028       -pc_bddc_neumann_
2029       -pc_bddc_coarse_
2030 .ve
2031    e.g -pc_bddc_dirichlet_ksp_type richardson -pc_bddc_dirichlet_pc_type gamg. PCBDDC uses by default KPSPREONLY and PCLU.
2032 
2033    When using a multilevel approach, solvers' options at the N-th level (N > 1) can be specified as
2034 .vb
2035       -pc_bddc_dirichlet_lN_
2036       -pc_bddc_neumann_lN_
2037       -pc_bddc_coarse_lN_
2038 .ve
2039    Note that level number ranges from the finest (0) to the coarsest (N).
2040    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.
2041 .vb
2042      -pc_bddc_coarse_pc_bddc_adaptive_threshold 5 -pc_bddc_coarse_l1_pc_bddc_redistribute 3
2043 .ve
2044    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
2045 
2046    Level: intermediate
2047 
2048    Developer notes:
2049 
2050    Contributed by Stefano Zampini
2051 
2052 .seealso:  PCCreate(), PCSetType(), PCType (for list of available types), PC,  MATIS
2053 M*/
2054 
2055 #undef __FUNCT__
2056 #define __FUNCT__ "PCCreate_BDDC"
2057 PETSC_EXTERN PetscErrorCode PCCreate_BDDC(PC pc)
2058 {
2059   PetscErrorCode      ierr;
2060   PC_BDDC             *pcbddc;
2061 
2062   PetscFunctionBegin;
2063   /* Creates the private data structure for this preconditioner and attach it to the PC object. */
2064   ierr      = PetscNewLog(pc,&pcbddc);CHKERRQ(ierr);
2065   pc->data  = (void*)pcbddc;
2066 
2067   /* create PCIS data structure */
2068   ierr = PCISCreate(pc);CHKERRQ(ierr);
2069 
2070   /* BDDC customization */
2071   pcbddc->use_local_adj       = PETSC_TRUE;
2072   pcbddc->use_vertices        = PETSC_TRUE;
2073   pcbddc->use_edges           = PETSC_TRUE;
2074   pcbddc->use_faces           = PETSC_FALSE;
2075   pcbddc->use_change_of_basis = PETSC_FALSE;
2076   pcbddc->use_change_on_faces = PETSC_FALSE;
2077   pcbddc->switch_static       = PETSC_FALSE;
2078   pcbddc->use_nnsp_true       = PETSC_FALSE;
2079   pcbddc->use_qr_single       = PETSC_FALSE;
2080   pcbddc->symmetric_primal    = PETSC_TRUE;
2081   pcbddc->saddle_point        = PETSC_FALSE;
2082   pcbddc->dbg_flag            = 0;
2083   /* private */
2084   pcbddc->local_primal_size          = 0;
2085   pcbddc->local_primal_size_cc       = 0;
2086   pcbddc->local_primal_ref_node      = 0;
2087   pcbddc->local_primal_ref_mult      = 0;
2088   pcbddc->n_vertices                 = 0;
2089   pcbddc->primal_indices_local_idxs  = 0;
2090   pcbddc->recompute_topography       = PETSC_FALSE;
2091   pcbddc->coarse_size                = -1;
2092   pcbddc->new_primal_space           = PETSC_FALSE;
2093   pcbddc->new_primal_space_local     = PETSC_FALSE;
2094   pcbddc->global_primal_indices      = 0;
2095   pcbddc->onearnullspace             = 0;
2096   pcbddc->onearnullvecs_state        = 0;
2097   pcbddc->user_primal_vertices       = 0;
2098   pcbddc->NullSpace                  = 0;
2099   pcbddc->temp_solution              = 0;
2100   pcbddc->original_rhs               = 0;
2101   pcbddc->local_mat                  = 0;
2102   pcbddc->ChangeOfBasisMatrix        = 0;
2103   pcbddc->user_ChangeOfBasisMatrix   = 0;
2104   pcbddc->new_global_mat             = 0;
2105   pcbddc->coarse_vec                 = 0;
2106   pcbddc->coarse_ksp                 = 0;
2107   pcbddc->coarse_phi_B               = 0;
2108   pcbddc->coarse_phi_D               = 0;
2109   pcbddc->coarse_psi_B               = 0;
2110   pcbddc->coarse_psi_D               = 0;
2111   pcbddc->vec1_P                     = 0;
2112   pcbddc->vec1_R                     = 0;
2113   pcbddc->vec2_R                     = 0;
2114   pcbddc->local_auxmat1              = 0;
2115   pcbddc->local_auxmat2              = 0;
2116   pcbddc->R_to_B                     = 0;
2117   pcbddc->R_to_D                     = 0;
2118   pcbddc->ksp_D                      = 0;
2119   pcbddc->ksp_R                      = 0;
2120   pcbddc->NeumannBoundaries          = 0;
2121   pcbddc->NeumannBoundariesLocal     = 0;
2122   pcbddc->DirichletBoundaries        = 0;
2123   pcbddc->DirichletBoundariesLocal   = 0;
2124   pcbddc->user_provided_isfordofs    = PETSC_FALSE;
2125   pcbddc->n_ISForDofs                = 0;
2126   pcbddc->n_ISForDofsLocal           = 0;
2127   pcbddc->ISForDofs                  = 0;
2128   pcbddc->ISForDofsLocal             = 0;
2129   pcbddc->ConstraintMatrix           = 0;
2130   pcbddc->use_exact_dirichlet_trick  = PETSC_TRUE;
2131   pcbddc->coarse_loc_to_glob         = 0;
2132   pcbddc->coarsening_ratio           = 8;
2133   pcbddc->coarse_adj_red             = 0;
2134   pcbddc->current_level              = 0;
2135   pcbddc->max_levels                 = 0;
2136   pcbddc->use_coarse_estimates       = PETSC_FALSE;
2137   pcbddc->redistribute_coarse        = 0;
2138   pcbddc->coarse_subassembling       = 0;
2139   pcbddc->coarse_subassembling_init  = 0;
2140 
2141   /* benign subspace trick */
2142   pcbddc->zerodiag                   = 0;
2143   pcbddc->B0_ncol                    = 0;
2144   pcbddc->B0_cols                    = NULL;
2145   pcbddc->B0_vals                    = NULL;
2146   pcbddc->benign_change              = 0;
2147 
2148   /* create local graph structure */
2149   ierr = PCBDDCGraphCreate(&pcbddc->mat_graph);CHKERRQ(ierr);
2150 
2151   /* scaling */
2152   pcbddc->work_scaling          = 0;
2153   pcbddc->use_deluxe_scaling    = PETSC_FALSE;
2154   pcbddc->faster_deluxe         = PETSC_FALSE;
2155 
2156   /* create sub schurs structure */
2157   ierr = PCBDDCSubSchursCreate(&pcbddc->sub_schurs);CHKERRQ(ierr);
2158   pcbddc->sub_schurs_rebuild     = PETSC_FALSE;
2159   pcbddc->sub_schurs_layers      = -1;
2160   pcbddc->sub_schurs_use_useradj = PETSC_FALSE;
2161 
2162   pcbddc->computed_rowadj = PETSC_FALSE;
2163 
2164   /* adaptivity */
2165   pcbddc->adaptive_threshold      = 0.0;
2166   pcbddc->adaptive_nmax           = 0;
2167   pcbddc->adaptive_nmin           = 0;
2168 
2169   /* function pointers */
2170   pc->ops->apply               = PCApply_BDDC;
2171   pc->ops->applytranspose      = PCApplyTranspose_BDDC;
2172   pc->ops->setup               = PCSetUp_BDDC;
2173   pc->ops->destroy             = PCDestroy_BDDC;
2174   pc->ops->setfromoptions      = PCSetFromOptions_BDDC;
2175   pc->ops->view                = 0;
2176   pc->ops->applyrichardson     = 0;
2177   pc->ops->applysymmetricleft  = 0;
2178   pc->ops->applysymmetricright = 0;
2179   pc->ops->presolve            = PCPreSolve_BDDC;
2180   pc->ops->postsolve           = PCPostSolve_BDDC;
2181 
2182   /* composing function */
2183   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetChangeOfBasisMat_C",PCBDDCSetChangeOfBasisMat_BDDC);CHKERRQ(ierr);
2184   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetPrimalVerticesLocalIS_C",PCBDDCSetPrimalVerticesLocalIS_BDDC);CHKERRQ(ierr);
2185   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetCoarseningRatio_C",PCBDDCSetCoarseningRatio_BDDC);CHKERRQ(ierr);
2186   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevel_C",PCBDDCSetLevel_BDDC);CHKERRQ(ierr);
2187   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetUseExactDirichlet_C",PCBDDCSetUseExactDirichlet_BDDC);CHKERRQ(ierr);
2188   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevels_C",PCBDDCSetLevels_BDDC);CHKERRQ(ierr);
2189   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNullSpace_C",PCBDDCSetNullSpace_BDDC);CHKERRQ(ierr);
2190   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundaries_C",PCBDDCSetDirichletBoundaries_BDDC);CHKERRQ(ierr);
2191   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundariesLocal_C",PCBDDCSetDirichletBoundariesLocal_BDDC);CHKERRQ(ierr);
2192   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundaries_C",PCBDDCSetNeumannBoundaries_BDDC);CHKERRQ(ierr);
2193   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundariesLocal_C",PCBDDCSetNeumannBoundariesLocal_BDDC);CHKERRQ(ierr);
2194   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundaries_C",PCBDDCGetDirichletBoundaries_BDDC);CHKERRQ(ierr);
2195   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundariesLocal_C",PCBDDCGetDirichletBoundariesLocal_BDDC);CHKERRQ(ierr);
2196   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundaries_C",PCBDDCGetNeumannBoundaries_BDDC);CHKERRQ(ierr);
2197   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundariesLocal_C",PCBDDCGetNeumannBoundariesLocal_BDDC);CHKERRQ(ierr);
2198   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplitting_C",PCBDDCSetDofsSplitting_BDDC);CHKERRQ(ierr);
2199   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplittingLocal_C",PCBDDCSetDofsSplittingLocal_BDDC);CHKERRQ(ierr);
2200   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLocalAdjacencyGraph_C",PCBDDCSetLocalAdjacencyGraph_BDDC);CHKERRQ(ierr);
2201   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCCreateFETIDPOperators_C",PCBDDCCreateFETIDPOperators_BDDC);CHKERRQ(ierr);
2202   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetRHS_C",PCBDDCMatFETIDPGetRHS_BDDC);CHKERRQ(ierr);
2203   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetSolution_C",PCBDDCMatFETIDPGetSolution_BDDC);CHKERRQ(ierr);
2204   PetscFunctionReturn(0);
2205 }
2206 
2207