xref: /petsc/src/ksp/pc/impls/bddc/bddc.c (revision 7acc28cb1e659a7ab52e9e8b2e8d47aa1a2aaa0e)
1 /* TODOLIST
2 
3    ConstraintsSetup
4    - tolerances for constraints as an option (take care of single precision!)
5 
6    Solvers
7    - Add support for cholesky for coarse solver (similar to local solvers)
8    - Propagate ksp prefixes for solvers to mat objects?
9    - Propagate nearnullspace info among levels
10 
11    User interface
12    - ** DofSplitting and DM attached to pc?
13 
14    Debugging output
15    - * Better management of verbosity levels of debugging output
16 
17    Build
18    - make runexe59
19 
20    Extra
21    - *** Is it possible to work with PCBDDCGraph on boundary indices only (less memory consumed)?
22    - Change of basis approach does not work with my nonlinear mechanics example. why? (seems not an issue with l2gmap)
23    - BDDC with MG framework?
24 
25    FETIDP
26    - Move FETIDP code to its own classes
27 
28    MATIS related operations contained in BDDC code
29    - Provide general case for subassembling
30    - *** Preallocation routines in MatISGetMPIAXAIJ
31 
32 */
33 
34 /* ----------------------------------------------------------------------------------------------------------------------------------------------
35    Implementation of BDDC preconditioner based on:
36    C. Dohrmann "An approximate BDDC preconditioner", Numerical Linear Algebra with Applications Volume 14, Issue 2, pages 149-168, March 2007
37    ---------------------------------------------------------------------------------------------------------------------------------------------- */
38 
39 #include <../src/ksp/pc/impls/bddc/bddc.h> /*I "petscpc.h" I*/  /* includes for fortran wrappers */
40 #include <../src/ksp/pc/impls/bddc/bddcprivate.h>
41 #include <petscblaslapack.h>
42 
43 /* -------------------------------------------------------------------------- */
44 #undef __FUNCT__
45 #define __FUNCT__ "PCSetFromOptions_BDDC"
46 PetscErrorCode PCSetFromOptions_BDDC(PetscOptions *PetscOptionsObject,PC pc)
47 {
48   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
49   PetscErrorCode ierr;
50 
51   PetscFunctionBegin;
52   ierr = PetscOptionsHead(PetscOptionsObject,"BDDC options");CHKERRQ(ierr);
53   /* Verbose debugging */
54   ierr = PetscOptionsInt("-pc_bddc_check_level","Verbose output for PCBDDC (intended for debug)","none",pcbddc->dbg_flag,&pcbddc->dbg_flag,NULL);CHKERRQ(ierr);
55   /* Primal space cumstomization */
56   ierr = PetscOptionsBool("-pc_bddc_use_local_mat_graph","Use or not adjacency graph of local mat for interface analysis","none",pcbddc->use_local_adj,&pcbddc->use_local_adj,NULL);CHKERRQ(ierr);
57   ierr = PetscOptionsBool("-pc_bddc_use_vertices","Use or not corner dofs in coarse space","none",pcbddc->use_vertices,&pcbddc->use_vertices,NULL);CHKERRQ(ierr);
58   ierr = PetscOptionsBool("-pc_bddc_use_edges","Use or not edge constraints in coarse space","none",pcbddc->use_edges,&pcbddc->use_edges,NULL);CHKERRQ(ierr);
59   ierr = PetscOptionsBool("-pc_bddc_use_faces","Use or not face constraints in coarse space","none",pcbddc->use_faces,&pcbddc->use_faces,NULL);CHKERRQ(ierr);
60   ierr = PetscOptionsBool("-pc_bddc_use_true_nnsp","Use near null space attached to the matrix without modifications","none",pcbddc->use_nnsp_true,&pcbddc->use_nnsp_true,NULL);CHKERRQ(ierr);
61   ierr = PetscOptionsBool("-pc_bddc_use_qr_single","Use QR factorization for single constraints on cc (QR is always used for multiple constraints on the same cc)","none",pcbddc->use_qr_single,&pcbddc->use_qr_single,NULL);CHKERRQ(ierr);
62   /* Change of basis */
63   ierr = PetscOptionsBool("-pc_bddc_use_change_of_basis","Use or not internal change of basis on local edge nodes","none",pcbddc->use_change_of_basis,&pcbddc->use_change_of_basis,NULL);CHKERRQ(ierr);
64   ierr = PetscOptionsBool("-pc_bddc_use_change_on_faces","Use or not internal change of basis on local face nodes","none",pcbddc->use_change_on_faces,&pcbddc->use_change_on_faces,NULL);CHKERRQ(ierr);
65   if (!pcbddc->use_change_of_basis) {
66     pcbddc->use_change_on_faces = PETSC_FALSE;
67   }
68   /* Switch between M_2 (default) and M_3 preconditioners (as defined by C. Dohrmann in the ref. article) */
69   ierr = PetscOptionsBool("-pc_bddc_switch_static","Switch on static condensation ops around the interface preconditioner","none",pcbddc->switch_static,&pcbddc->switch_static,NULL);CHKERRQ(ierr);
70   ierr = PetscOptionsInt("-pc_bddc_coarse_redistribute","Number of procs where to redistribute coarse problem","none",pcbddc->redistribute_coarse,&pcbddc->redistribute_coarse,NULL);CHKERRQ(ierr);
71   ierr = PetscOptionsInt("-pc_bddc_coarsening_ratio","Set coarsening ratio used in multilevel coarsening","none",pcbddc->coarsening_ratio,&pcbddc->coarsening_ratio,NULL);CHKERRQ(ierr);
72   ierr = PetscOptionsInt("-pc_bddc_levels","Set maximum number of levels for multilevel","none",pcbddc->max_levels,&pcbddc->max_levels,NULL);CHKERRQ(ierr);
73   ierr = PetscOptionsBool("-pc_bddc_use_coarse_estimates","Use estimated eigenvalues for coarse problem","none",pcbddc->use_coarse_estimates,&pcbddc->use_coarse_estimates,NULL);CHKERRQ(ierr);
74   ierr = PetscOptionsBool("-pc_bddc_use_deluxe_scaling","Use deluxe scaling for BDDC","none",pcbddc->use_deluxe_scaling,&pcbddc->use_deluxe_scaling,NULL);CHKERRQ(ierr);
75   ierr = PetscOptionsInt("-pc_bddc_schur_threshold","Schur principal minors smaller than this value are explicilty computed (-1 computes all)","none",pcbddc->sub_schurs_threshold,&pcbddc->sub_schurs_threshold,NULL);CHKERRQ(ierr);
76   ierr = PetscOptionsBool("-pc_bddc_schur_rebuild","Whether or not the interface graph for Schur principal minors has to be rebuilt (i.e. define the interface without any adjacency)","none",pcbddc->sub_schurs_rebuild,&pcbddc->sub_schurs_rebuild,NULL);CHKERRQ(ierr);
77   ierr = PetscOptionsInt("-pc_bddc_schur_layers","Number of dofs' layers for the computation of principal minors (i.e. -1 uses all dofs)","none",pcbddc->sub_schurs_layers,&pcbddc->sub_schurs_layers,NULL);CHKERRQ(ierr);
78   ierr = PetscOptionsBool("-pc_bddc_schur_use_useradj","Whether or not the CSR graph specified by the user should be used for computing successive layers (default is to use adj of local mat)","none",pcbddc->sub_schurs_use_useradj,&pcbddc->sub_schurs_use_useradj,NULL);CHKERRQ(ierr);
79   ierr = PetscOptionsReal("-pc_bddc_adaptive_threshold","Threshold to be used for adaptive selection of constraints","none",pcbddc->adaptive_threshold,&pcbddc->adaptive_threshold,NULL);CHKERRQ(ierr);
80   ierr = PetscOptionsInt("-pc_bddc_adaptive_nmin","Minimum number of constraints per connected components","none",pcbddc->adaptive_nmin,&pcbddc->adaptive_nmin,NULL);CHKERRQ(ierr);
81   ierr = PetscOptionsInt("-pc_bddc_adaptive_nmax","Maximum number of constraints per connected components","none",pcbddc->adaptive_nmax,&pcbddc->adaptive_nmax,NULL);CHKERRQ(ierr);
82   ierr = PetscOptionsBool("-pc_bddc_adaptive_invert_stildas","Whether or not to invert the Stildas matrices","none",pcbddc->adaptive_invert_Stildas,&pcbddc->adaptive_invert_Stildas,NULL);CHKERRQ(ierr);
83   ierr = PetscOptionsTail();CHKERRQ(ierr);
84   PetscFunctionReturn(0);
85 }
86 /* -------------------------------------------------------------------------- */
87 #undef __FUNCT__
88 #define __FUNCT__ "PCBDDCSetChangeOfBasisMat_BDDC"
89 static PetscErrorCode PCBDDCSetChangeOfBasisMat_BDDC(PC pc, Mat change)
90 {
91   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
92   PetscErrorCode ierr;
93 
94   PetscFunctionBegin;
95   ierr = MatDestroy(&pcbddc->user_ChangeOfBasisMatrix);CHKERRQ(ierr);
96   ierr = PetscObjectReference((PetscObject)change);CHKERRQ(ierr);
97   pcbddc->user_ChangeOfBasisMatrix = change;
98   PetscFunctionReturn(0);
99 }
100 #undef __FUNCT__
101 #define __FUNCT__ "PCBDDCSetChangeOfBasisMat"
102 /*@
103  PCBDDCSetChangeOfBasisMat - Set user defined change of basis for dofs
104 
105    Collective on PC
106 
107    Input Parameters:
108 +  pc - the preconditioning context
109 -  change - the change of basis matrix
110 
111    Level: intermediate
112 
113    Notes:
114 
115 .seealso: PCBDDC
116 @*/
117 PetscErrorCode PCBDDCSetChangeOfBasisMat(PC pc, Mat change)
118 {
119   PetscErrorCode ierr;
120 
121   PetscFunctionBegin;
122   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
123   PetscValidHeaderSpecific(change,MAT_CLASSID,2);
124   PetscCheckSameComm(pc,1,change,2);
125   if (pc->mat) {
126     PetscInt rows_c,cols_c,rows,cols;
127     ierr = MatGetSize(pc->mat,&rows,&cols);CHKERRQ(ierr);
128     ierr = MatGetSize(change,&rows_c,&cols_c);CHKERRQ(ierr);
129     if (rows_c != rows) {
130       SETERRQ2(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Invalid number of rows for change of basis matrix! %d != %d",rows_c,rows);
131     }
132     if (cols_c != cols) {
133       SETERRQ2(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Invalid number of columns for change of basis matrix! %d != %d",cols_c,cols);
134     }
135     ierr = MatGetLocalSize(pc->mat,&rows,&cols);CHKERRQ(ierr);
136     ierr = MatGetLocalSize(change,&rows_c,&cols_c);CHKERRQ(ierr);
137     if (rows_c != rows) {
138       SETERRQ2(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Invalid number of local rows for change of basis matrix! %d != %d",rows_c,rows);
139     }
140     if (cols_c != cols) {
141       SETERRQ2(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Invalid number of local columns for change of basis matrix! %d != %d",cols_c,cols);
142     }
143   }
144   ierr = PetscTryMethod(pc,"PCBDDCSetChangeOfBasisMat_C",(PC,Mat),(pc,change));CHKERRQ(ierr);
145   PetscFunctionReturn(0);
146 }
147 /* -------------------------------------------------------------------------- */
148 #undef __FUNCT__
149 #define __FUNCT__ "PCBDDCSetPrimalVerticesLocalIS_BDDC"
150 static PetscErrorCode PCBDDCSetPrimalVerticesLocalIS_BDDC(PC pc, IS PrimalVertices)
151 {
152   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
153   PetscErrorCode ierr;
154 
155   PetscFunctionBegin;
156   ierr = ISDestroy(&pcbddc->user_primal_vertices);CHKERRQ(ierr);
157   ierr = PetscObjectReference((PetscObject)PrimalVertices);CHKERRQ(ierr);
158   pcbddc->user_primal_vertices = PrimalVertices;
159   PetscFunctionReturn(0);
160 }
161 #undef __FUNCT__
162 #define __FUNCT__ "PCBDDCSetPrimalVerticesLocalIS"
163 /*@
164  PCBDDCSetPrimalVerticesLocalIS - Set additional user defined primal vertices in PCBDDC
165 
166    Not collective
167 
168    Input Parameters:
169 +  pc - the preconditioning context
170 -  PrimalVertices - index set of primal vertices in local numbering
171 
172    Level: intermediate
173 
174    Notes:
175 
176 .seealso: PCBDDC
177 @*/
178 PetscErrorCode PCBDDCSetPrimalVerticesLocalIS(PC pc, IS PrimalVertices)
179 {
180   PetscErrorCode ierr;
181 
182   PetscFunctionBegin;
183   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
184   PetscValidHeaderSpecific(PrimalVertices,IS_CLASSID,2);
185   ierr = PetscTryMethod(pc,"PCBDDCSetPrimalVerticesLocalIS_C",(PC,IS),(pc,PrimalVertices));CHKERRQ(ierr);
186   PetscFunctionReturn(0);
187 }
188 /* -------------------------------------------------------------------------- */
189 #undef __FUNCT__
190 #define __FUNCT__ "PCBDDCSetCoarseningRatio_BDDC"
191 static PetscErrorCode PCBDDCSetCoarseningRatio_BDDC(PC pc,PetscInt k)
192 {
193   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
194 
195   PetscFunctionBegin;
196   pcbddc->coarsening_ratio = k;
197   PetscFunctionReturn(0);
198 }
199 
200 #undef __FUNCT__
201 #define __FUNCT__ "PCBDDCSetCoarseningRatio"
202 /*@
203  PCBDDCSetCoarseningRatio - Set coarsening ratio used in multilevel
204 
205    Logically collective on PC
206 
207    Input Parameters:
208 +  pc - the preconditioning context
209 -  k - coarsening ratio (H/h at the coarser level)
210 
211    Approximatively k subdomains at the finer level will be aggregated into a single subdomain at the coarser level
212 
213    Level: intermediate
214 
215    Notes:
216 
217 .seealso: PCBDDC
218 @*/
219 PetscErrorCode PCBDDCSetCoarseningRatio(PC pc,PetscInt k)
220 {
221   PetscErrorCode ierr;
222 
223   PetscFunctionBegin;
224   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
225   PetscValidLogicalCollectiveInt(pc,k,2);
226   ierr = PetscTryMethod(pc,"PCBDDCSetCoarseningRatio_C",(PC,PetscInt),(pc,k));CHKERRQ(ierr);
227   PetscFunctionReturn(0);
228 }
229 
230 /* The following functions (PCBDDCSetUseExactDirichlet PCBDDCSetLevel) are not public */
231 #undef __FUNCT__
232 #define __FUNCT__ "PCBDDCSetUseExactDirichlet_BDDC"
233 static PetscErrorCode PCBDDCSetUseExactDirichlet_BDDC(PC pc,PetscBool flg)
234 {
235   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
236 
237   PetscFunctionBegin;
238   pcbddc->use_exact_dirichlet_trick = flg;
239   PetscFunctionReturn(0);
240 }
241 
242 #undef __FUNCT__
243 #define __FUNCT__ "PCBDDCSetUseExactDirichlet"
244 PetscErrorCode PCBDDCSetUseExactDirichlet(PC pc,PetscBool flg)
245 {
246   PetscErrorCode ierr;
247 
248   PetscFunctionBegin;
249   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
250   PetscValidLogicalCollectiveBool(pc,flg,2);
251   ierr = PetscTryMethod(pc,"PCBDDCSetUseExactDirichlet_C",(PC,PetscBool),(pc,flg));CHKERRQ(ierr);
252   PetscFunctionReturn(0);
253 }
254 
255 #undef __FUNCT__
256 #define __FUNCT__ "PCBDDCSetLevel_BDDC"
257 static PetscErrorCode PCBDDCSetLevel_BDDC(PC pc,PetscInt level)
258 {
259   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
260 
261   PetscFunctionBegin;
262   pcbddc->current_level = level;
263   PetscFunctionReturn(0);
264 }
265 
266 #undef __FUNCT__
267 #define __FUNCT__ "PCBDDCSetLevel"
268 PetscErrorCode PCBDDCSetLevel(PC pc,PetscInt level)
269 {
270   PetscErrorCode ierr;
271 
272   PetscFunctionBegin;
273   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
274   PetscValidLogicalCollectiveInt(pc,level,2);
275   ierr = PetscTryMethod(pc,"PCBDDCSetLevel_C",(PC,PetscInt),(pc,level));CHKERRQ(ierr);
276   PetscFunctionReturn(0);
277 }
278 
279 #undef __FUNCT__
280 #define __FUNCT__ "PCBDDCSetLevels_BDDC"
281 static PetscErrorCode PCBDDCSetLevels_BDDC(PC pc,PetscInt levels)
282 {
283   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
284 
285   PetscFunctionBegin;
286   pcbddc->max_levels = levels;
287   PetscFunctionReturn(0);
288 }
289 
290 #undef __FUNCT__
291 #define __FUNCT__ "PCBDDCSetLevels"
292 /*@
293  PCBDDCSetLevels - Sets the maximum number of levels for multilevel
294 
295    Logically collective on PC
296 
297    Input Parameters:
298 +  pc - the preconditioning context
299 -  levels - the maximum number of levels (max 9)
300 
301    Default value is 0, i.e. traditional one-level BDDC
302 
303    Level: intermediate
304 
305    Notes:
306 
307 .seealso: PCBDDC
308 @*/
309 PetscErrorCode PCBDDCSetLevels(PC pc,PetscInt levels)
310 {
311   PetscErrorCode ierr;
312 
313   PetscFunctionBegin;
314   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
315   PetscValidLogicalCollectiveInt(pc,levels,2);
316   if (levels > 99) SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_SUP,"Maximum number of levels for bddc is 99\n");
317   ierr = PetscTryMethod(pc,"PCBDDCSetLevels_C",(PC,PetscInt),(pc,levels));CHKERRQ(ierr);
318   PetscFunctionReturn(0);
319 }
320 /* -------------------------------------------------------------------------- */
321 
322 #undef __FUNCT__
323 #define __FUNCT__ "PCBDDCSetNullSpace_BDDC"
324 static PetscErrorCode PCBDDCSetNullSpace_BDDC(PC pc,MatNullSpace NullSpace)
325 {
326   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
327   PetscErrorCode ierr;
328 
329   PetscFunctionBegin;
330   ierr = PetscObjectReference((PetscObject)NullSpace);CHKERRQ(ierr);
331   ierr = MatNullSpaceDestroy(&pcbddc->NullSpace);CHKERRQ(ierr);
332   pcbddc->NullSpace = NullSpace;
333   PetscFunctionReturn(0);
334 }
335 
336 #undef __FUNCT__
337 #define __FUNCT__ "PCBDDCSetNullSpace"
338 /*@
339  PCBDDCSetNullSpace - Set nullspace for BDDC operator
340 
341    Logically collective on PC and MatNullSpace
342 
343    Input Parameters:
344 +  pc - the preconditioning context
345 -  NullSpace - Null space of the linear operator to be preconditioned (Pmat)
346 
347    Level: intermediate
348 
349    Notes:
350 
351 .seealso: PCBDDC
352 @*/
353 PetscErrorCode PCBDDCSetNullSpace(PC pc,MatNullSpace NullSpace)
354 {
355   PetscErrorCode ierr;
356 
357   PetscFunctionBegin;
358   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
359   PetscValidHeaderSpecific(NullSpace,MAT_NULLSPACE_CLASSID,2);
360   PetscCheckSameComm(pc,1,NullSpace,2);
361   ierr = PetscTryMethod(pc,"PCBDDCSetNullSpace_C",(PC,MatNullSpace),(pc,NullSpace));CHKERRQ(ierr);
362   PetscFunctionReturn(0);
363 }
364 /* -------------------------------------------------------------------------- */
365 
366 #undef __FUNCT__
367 #define __FUNCT__ "PCBDDCSetDirichletBoundaries_BDDC"
368 static PetscErrorCode PCBDDCSetDirichletBoundaries_BDDC(PC pc,IS DirichletBoundaries)
369 {
370   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
371   PetscErrorCode ierr;
372 
373   PetscFunctionBegin;
374   /* last user setting takes precendence -> destroy any other customization */
375   ierr = ISDestroy(&pcbddc->DirichletBoundariesLocal);CHKERRQ(ierr);
376   ierr = ISDestroy(&pcbddc->DirichletBoundaries);CHKERRQ(ierr);
377   ierr = PetscObjectReference((PetscObject)DirichletBoundaries);CHKERRQ(ierr);
378   pcbddc->DirichletBoundaries = DirichletBoundaries;
379   pcbddc->recompute_topography = PETSC_TRUE;
380   PetscFunctionReturn(0);
381 }
382 
383 #undef __FUNCT__
384 #define __FUNCT__ "PCBDDCSetDirichletBoundaries"
385 /*@
386  PCBDDCSetDirichletBoundaries - Set IS defining Dirichlet boundaries for the global problem.
387 
388    Collective
389 
390    Input Parameters:
391 +  pc - the preconditioning context
392 -  DirichletBoundaries - parallel IS defining the Dirichlet boundaries
393 
394    Level: intermediate
395 
396    Notes: Any process can list any global node
397 
398 .seealso: PCBDDC
399 @*/
400 PetscErrorCode PCBDDCSetDirichletBoundaries(PC pc,IS DirichletBoundaries)
401 {
402   PetscErrorCode ierr;
403 
404   PetscFunctionBegin;
405   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
406   PetscValidHeaderSpecific(DirichletBoundaries,IS_CLASSID,2);
407   PetscCheckSameComm(pc,1,DirichletBoundaries,2);
408   ierr = PetscTryMethod(pc,"PCBDDCSetDirichletBoundaries_C",(PC,IS),(pc,DirichletBoundaries));CHKERRQ(ierr);
409   PetscFunctionReturn(0);
410 }
411 /* -------------------------------------------------------------------------- */
412 
413 #undef __FUNCT__
414 #define __FUNCT__ "PCBDDCSetDirichletBoundariesLocal_BDDC"
415 static PetscErrorCode PCBDDCSetDirichletBoundariesLocal_BDDC(PC pc,IS DirichletBoundaries)
416 {
417   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
418   PetscErrorCode ierr;
419 
420   PetscFunctionBegin;
421   /* last user setting takes precendence -> destroy any other customization */
422   ierr = ISDestroy(&pcbddc->DirichletBoundariesLocal);CHKERRQ(ierr);
423   ierr = ISDestroy(&pcbddc->DirichletBoundaries);CHKERRQ(ierr);
424   ierr = PetscObjectReference((PetscObject)DirichletBoundaries);CHKERRQ(ierr);
425   pcbddc->DirichletBoundariesLocal = DirichletBoundaries;
426   pcbddc->recompute_topography = PETSC_TRUE;
427   PetscFunctionReturn(0);
428 }
429 
430 #undef __FUNCT__
431 #define __FUNCT__ "PCBDDCSetDirichletBoundariesLocal"
432 /*@
433  PCBDDCSetDirichletBoundariesLocal - Set IS defining Dirichlet boundaries for the global problem in local ordering.
434 
435    Collective
436 
437    Input Parameters:
438 +  pc - the preconditioning context
439 -  DirichletBoundaries - parallel IS defining the Dirichlet boundaries (in local ordering)
440 
441    Level: intermediate
442 
443    Notes:
444 
445 .seealso: PCBDDC
446 @*/
447 PetscErrorCode PCBDDCSetDirichletBoundariesLocal(PC pc,IS DirichletBoundaries)
448 {
449   PetscErrorCode ierr;
450 
451   PetscFunctionBegin;
452   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
453   PetscValidHeaderSpecific(DirichletBoundaries,IS_CLASSID,2);
454   PetscCheckSameComm(pc,1,DirichletBoundaries,2);
455   ierr = PetscTryMethod(pc,"PCBDDCSetDirichletBoundariesLocal_C",(PC,IS),(pc,DirichletBoundaries));CHKERRQ(ierr);
456   PetscFunctionReturn(0);
457 }
458 /* -------------------------------------------------------------------------- */
459 
460 #undef __FUNCT__
461 #define __FUNCT__ "PCBDDCSetNeumannBoundaries_BDDC"
462 static PetscErrorCode PCBDDCSetNeumannBoundaries_BDDC(PC pc,IS NeumannBoundaries)
463 {
464   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
465   PetscErrorCode ierr;
466 
467   PetscFunctionBegin;
468   /* last user setting takes precendence -> destroy any other customization */
469   ierr = ISDestroy(&pcbddc->NeumannBoundariesLocal);CHKERRQ(ierr);
470   ierr = ISDestroy(&pcbddc->NeumannBoundaries);CHKERRQ(ierr);
471   ierr = PetscObjectReference((PetscObject)NeumannBoundaries);CHKERRQ(ierr);
472   pcbddc->NeumannBoundaries = NeumannBoundaries;
473   pcbddc->recompute_topography = PETSC_TRUE;
474   PetscFunctionReturn(0);
475 }
476 
477 #undef __FUNCT__
478 #define __FUNCT__ "PCBDDCSetNeumannBoundaries"
479 /*@
480  PCBDDCSetNeumannBoundaries - Set IS defining Neumann boundaries for the global problem.
481 
482    Collective
483 
484    Input Parameters:
485 +  pc - the preconditioning context
486 -  NeumannBoundaries - parallel IS defining the Neumann boundaries
487 
488    Level: intermediate
489 
490    Notes: Any process can list any global node
491 
492 .seealso: PCBDDC
493 @*/
494 PetscErrorCode PCBDDCSetNeumannBoundaries(PC pc,IS NeumannBoundaries)
495 {
496   PetscErrorCode ierr;
497 
498   PetscFunctionBegin;
499   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
500   PetscValidHeaderSpecific(NeumannBoundaries,IS_CLASSID,2);
501   PetscCheckSameComm(pc,1,NeumannBoundaries,2);
502   ierr = PetscTryMethod(pc,"PCBDDCSetNeumannBoundaries_C",(PC,IS),(pc,NeumannBoundaries));CHKERRQ(ierr);
503   PetscFunctionReturn(0);
504 }
505 /* -------------------------------------------------------------------------- */
506 
507 #undef __FUNCT__
508 #define __FUNCT__ "PCBDDCSetNeumannBoundariesLocal_BDDC"
509 static PetscErrorCode PCBDDCSetNeumannBoundariesLocal_BDDC(PC pc,IS NeumannBoundaries)
510 {
511   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
512   PetscErrorCode ierr;
513 
514   PetscFunctionBegin;
515   /* last user setting takes precendence -> destroy any other customization */
516   ierr = ISDestroy(&pcbddc->NeumannBoundariesLocal);CHKERRQ(ierr);
517   ierr = ISDestroy(&pcbddc->NeumannBoundaries);CHKERRQ(ierr);
518   ierr = PetscObjectReference((PetscObject)NeumannBoundaries);CHKERRQ(ierr);
519   pcbddc->NeumannBoundariesLocal = NeumannBoundaries;
520   pcbddc->recompute_topography = PETSC_TRUE;
521   PetscFunctionReturn(0);
522 }
523 
524 #undef __FUNCT__
525 #define __FUNCT__ "PCBDDCSetNeumannBoundariesLocal"
526 /*@
527  PCBDDCSetNeumannBoundariesLocal - Set IS defining Neumann boundaries for the global problem in local ordering.
528 
529    Collective
530 
531    Input Parameters:
532 +  pc - the preconditioning context
533 -  NeumannBoundaries - parallel IS defining the subdomain part of Neumann boundaries (in local ordering)
534 
535    Level: intermediate
536 
537    Notes:
538 
539 .seealso: PCBDDC
540 @*/
541 PetscErrorCode PCBDDCSetNeumannBoundariesLocal(PC pc,IS NeumannBoundaries)
542 {
543   PetscErrorCode ierr;
544 
545   PetscFunctionBegin;
546   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
547   PetscValidHeaderSpecific(NeumannBoundaries,IS_CLASSID,2);
548   PetscCheckSameComm(pc,1,NeumannBoundaries,2);
549   ierr = PetscTryMethod(pc,"PCBDDCSetNeumannBoundariesLocal_C",(PC,IS),(pc,NeumannBoundaries));CHKERRQ(ierr);
550   PetscFunctionReturn(0);
551 }
552 /* -------------------------------------------------------------------------- */
553 
554 #undef __FUNCT__
555 #define __FUNCT__ "PCBDDCGetDirichletBoundaries_BDDC"
556 static PetscErrorCode PCBDDCGetDirichletBoundaries_BDDC(PC pc,IS *DirichletBoundaries)
557 {
558   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
559 
560   PetscFunctionBegin;
561   *DirichletBoundaries = pcbddc->DirichletBoundaries;
562   PetscFunctionReturn(0);
563 }
564 
565 #undef __FUNCT__
566 #define __FUNCT__ "PCBDDCGetDirichletBoundaries"
567 /*@
568  PCBDDCGetDirichletBoundaries - Get parallel IS for Dirichlet boundaries
569 
570    Collective
571 
572    Input Parameters:
573 .  pc - the preconditioning context
574 
575    Output Parameters:
576 .  DirichletBoundaries - index set defining the Dirichlet boundaries
577 
578    Level: intermediate
579 
580    Notes: The IS returned (if any) is the same passed in earlier by the user with PCBDDCSetDirichletBoundaries
581 
582 .seealso: PCBDDC
583 @*/
584 PetscErrorCode PCBDDCGetDirichletBoundaries(PC pc,IS *DirichletBoundaries)
585 {
586   PetscErrorCode ierr;
587 
588   PetscFunctionBegin;
589   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
590   ierr = PetscUseMethod(pc,"PCBDDCGetDirichletBoundaries_C",(PC,IS*),(pc,DirichletBoundaries));CHKERRQ(ierr);
591   PetscFunctionReturn(0);
592 }
593 /* -------------------------------------------------------------------------- */
594 
595 #undef __FUNCT__
596 #define __FUNCT__ "PCBDDCGetDirichletBoundariesLocal_BDDC"
597 static PetscErrorCode PCBDDCGetDirichletBoundariesLocal_BDDC(PC pc,IS *DirichletBoundaries)
598 {
599   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
600 
601   PetscFunctionBegin;
602   *DirichletBoundaries = pcbddc->DirichletBoundariesLocal;
603   PetscFunctionReturn(0);
604 }
605 
606 #undef __FUNCT__
607 #define __FUNCT__ "PCBDDCGetDirichletBoundariesLocal"
608 /*@
609  PCBDDCGetDirichletBoundariesLocal - Get parallel IS for Dirichlet boundaries (in local ordering)
610 
611    Collective
612 
613    Input Parameters:
614 .  pc - the preconditioning context
615 
616    Output Parameters:
617 .  DirichletBoundaries - index set defining the subdomain part of Dirichlet boundaries
618 
619    Level: intermediate
620 
621    Notes:
622 
623 .seealso: PCBDDC
624 @*/
625 PetscErrorCode PCBDDCGetDirichletBoundariesLocal(PC pc,IS *DirichletBoundaries)
626 {
627   PetscErrorCode ierr;
628 
629   PetscFunctionBegin;
630   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
631   ierr = PetscUseMethod(pc,"PCBDDCGetDirichletBoundariesLocal_C",(PC,IS*),(pc,DirichletBoundaries));CHKERRQ(ierr);
632   PetscFunctionReturn(0);
633 }
634 /* -------------------------------------------------------------------------- */
635 
636 #undef __FUNCT__
637 #define __FUNCT__ "PCBDDCGetNeumannBoundaries_BDDC"
638 static PetscErrorCode PCBDDCGetNeumannBoundaries_BDDC(PC pc,IS *NeumannBoundaries)
639 {
640   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
641 
642   PetscFunctionBegin;
643   *NeumannBoundaries = pcbddc->NeumannBoundaries;
644   PetscFunctionReturn(0);
645 }
646 
647 #undef __FUNCT__
648 #define __FUNCT__ "PCBDDCGetNeumannBoundaries"
649 /*@
650  PCBDDCGetNeumannBoundaries - Get parallel IS for Neumann boundaries
651 
652    Collective
653 
654    Input Parameters:
655 .  pc - the preconditioning context
656 
657    Output Parameters:
658 .  NeumannBoundaries - index set defining the Neumann boundaries
659 
660    Level: intermediate
661 
662    Notes: The IS returned (if any) is the same passed in earlier by the user with PCBDDCSetNeumannBoundaries
663 
664 .seealso: PCBDDC
665 @*/
666 PetscErrorCode PCBDDCGetNeumannBoundaries(PC pc,IS *NeumannBoundaries)
667 {
668   PetscErrorCode ierr;
669 
670   PetscFunctionBegin;
671   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
672   ierr = PetscUseMethod(pc,"PCBDDCGetNeumannBoundaries_C",(PC,IS*),(pc,NeumannBoundaries));CHKERRQ(ierr);
673   PetscFunctionReturn(0);
674 }
675 /* -------------------------------------------------------------------------- */
676 
677 #undef __FUNCT__
678 #define __FUNCT__ "PCBDDCGetNeumannBoundariesLocal_BDDC"
679 static PetscErrorCode PCBDDCGetNeumannBoundariesLocal_BDDC(PC pc,IS *NeumannBoundaries)
680 {
681   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
682 
683   PetscFunctionBegin;
684   *NeumannBoundaries = pcbddc->NeumannBoundariesLocal;
685   PetscFunctionReturn(0);
686 }
687 
688 #undef __FUNCT__
689 #define __FUNCT__ "PCBDDCGetNeumannBoundariesLocal"
690 /*@
691  PCBDDCGetNeumannBoundariesLocal - Get parallel IS for Neumann boundaries (in local ordering)
692 
693    Collective
694 
695    Input Parameters:
696 .  pc - the preconditioning context
697 
698    Output Parameters:
699 .  NeumannBoundaries - index set defining the subdomain part of Neumann boundaries
700 
701    Level: intermediate
702 
703    Notes:
704 
705 .seealso: PCBDDC
706 @*/
707 PetscErrorCode PCBDDCGetNeumannBoundariesLocal(PC pc,IS *NeumannBoundaries)
708 {
709   PetscErrorCode ierr;
710 
711   PetscFunctionBegin;
712   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
713   ierr = PetscUseMethod(pc,"PCBDDCGetNeumannBoundariesLocal_C",(PC,IS*),(pc,NeumannBoundaries));CHKERRQ(ierr);
714   PetscFunctionReturn(0);
715 }
716 /* -------------------------------------------------------------------------- */
717 
718 #undef __FUNCT__
719 #define __FUNCT__ "PCBDDCSetLocalAdjacencyGraph_BDDC"
720 static PetscErrorCode PCBDDCSetLocalAdjacencyGraph_BDDC(PC pc, PetscInt nvtxs,const PetscInt xadj[],const PetscInt adjncy[], PetscCopyMode copymode)
721 {
722   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
723   PCBDDCGraph    mat_graph = pcbddc->mat_graph;
724   PetscErrorCode ierr;
725 
726   PetscFunctionBegin;
727   /* free old CSR */
728   ierr = PCBDDCGraphResetCSR(mat_graph);CHKERRQ(ierr);
729   /* TODO: PCBDDCGraphSetAdjacency */
730   /* get CSR into graph structure */
731   if (copymode == PETSC_COPY_VALUES) {
732     ierr = PetscMalloc1(nvtxs+1,&mat_graph->xadj);CHKERRQ(ierr);
733     ierr = PetscMalloc1(xadj[nvtxs],&mat_graph->adjncy);CHKERRQ(ierr);
734     ierr = PetscMemcpy(mat_graph->xadj,xadj,(nvtxs+1)*sizeof(PetscInt));CHKERRQ(ierr);
735     ierr = PetscMemcpy(mat_graph->adjncy,adjncy,xadj[nvtxs]*sizeof(PetscInt));CHKERRQ(ierr);
736   } else if (copymode == PETSC_OWN_POINTER) {
737     mat_graph->xadj = (PetscInt*)xadj;
738     mat_graph->adjncy = (PetscInt*)adjncy;
739   }
740   mat_graph->nvtxs_csr = nvtxs;
741   PetscFunctionReturn(0);
742 }
743 
744 #undef __FUNCT__
745 #define __FUNCT__ "PCBDDCSetLocalAdjacencyGraph"
746 /*@
747  PCBDDCSetLocalAdjacencyGraph - Set adjacency structure (CSR graph) of the local Neumann matrix
748 
749    Not collective
750 
751    Input Parameters:
752 +  pc - the preconditioning context
753 .  nvtxs - number of local vertices of the graph (i.e., the local size of your problem)
754 .  xadj, adjncy - the CSR graph
755 -  copymode - either PETSC_COPY_VALUES or PETSC_OWN_POINTER.
756 
757    Level: intermediate
758 
759    Notes:
760 
761 .seealso: PCBDDC,PetscCopyMode
762 @*/
763 PetscErrorCode PCBDDCSetLocalAdjacencyGraph(PC pc,PetscInt nvtxs,const PetscInt xadj[],const PetscInt adjncy[], PetscCopyMode copymode)
764 {
765   void (*f)(void) = 0;
766   PetscErrorCode ierr;
767 
768   PetscFunctionBegin;
769   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
770   PetscValidIntPointer(xadj,3);
771   PetscValidIntPointer(adjncy,4);
772   if (copymode != PETSC_COPY_VALUES && copymode != PETSC_OWN_POINTER) {
773     SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_SUP,"Unsupported copy mode %d in %s\n",copymode,__FUNCT__);
774   }
775   ierr = PetscTryMethod(pc,"PCBDDCSetLocalAdjacencyGraph_C",(PC,PetscInt,const PetscInt[],const PetscInt[],PetscCopyMode),(pc,nvtxs,xadj,adjncy,copymode));CHKERRQ(ierr);
776   /* free arrays if PCBDDC is not the PC type */
777   ierr = PetscObjectQueryFunction((PetscObject)pc,"PCBDDCSetLocalAdjacencyGraph_C",&f);CHKERRQ(ierr);
778   if (!f && copymode == PETSC_OWN_POINTER) {
779     ierr = PetscFree(xadj);CHKERRQ(ierr);
780     ierr = PetscFree(adjncy);CHKERRQ(ierr);
781   }
782   PetscFunctionReturn(0);
783 }
784 /* -------------------------------------------------------------------------- */
785 
786 #undef __FUNCT__
787 #define __FUNCT__ "PCBDDCSetDofsSplittingLocal_BDDC"
788 static PetscErrorCode PCBDDCSetDofsSplittingLocal_BDDC(PC pc,PetscInt n_is, IS ISForDofs[])
789 {
790   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
791   PetscInt i;
792   PetscErrorCode ierr;
793 
794   PetscFunctionBegin;
795   /* Destroy ISes if they were already set */
796   for (i=0;i<pcbddc->n_ISForDofsLocal;i++) {
797     ierr = ISDestroy(&pcbddc->ISForDofsLocal[i]);CHKERRQ(ierr);
798   }
799   ierr = PetscFree(pcbddc->ISForDofsLocal);CHKERRQ(ierr);
800   /* last user setting takes precendence -> destroy any other customization */
801   for (i=0;i<pcbddc->n_ISForDofs;i++) {
802     ierr = ISDestroy(&pcbddc->ISForDofs[i]);CHKERRQ(ierr);
803   }
804   ierr = PetscFree(pcbddc->ISForDofs);CHKERRQ(ierr);
805   pcbddc->n_ISForDofs = 0;
806   /* allocate space then set */
807   if (n_is) {
808     ierr = PetscMalloc1(n_is,&pcbddc->ISForDofsLocal);CHKERRQ(ierr);
809   }
810   for (i=0;i<n_is;i++) {
811     ierr = PetscObjectReference((PetscObject)ISForDofs[i]);CHKERRQ(ierr);
812     pcbddc->ISForDofsLocal[i]=ISForDofs[i];
813   }
814   pcbddc->n_ISForDofsLocal=n_is;
815   if (n_is) pcbddc->user_provided_isfordofs = PETSC_TRUE;
816   pcbddc->recompute_topography = PETSC_TRUE;
817   PetscFunctionReturn(0);
818 }
819 
820 #undef __FUNCT__
821 #define __FUNCT__ "PCBDDCSetDofsSplittingLocal"
822 /*@
823  PCBDDCSetDofsSplittingLocal - Set index sets defining fields of the local subdomain matrix
824 
825    Collective
826 
827    Input Parameters:
828 +  pc - the preconditioning context
829 -  n_is - number of index sets defining the fields
830 .  ISForDofs - array of IS describing the fields in local ordering
831 
832    Level: intermediate
833 
834    Notes: n_is should be the same among processes. Not all nodes need to be listed: unlisted nodes will belong to a different field.
835 
836 .seealso: PCBDDC
837 @*/
838 PetscErrorCode PCBDDCSetDofsSplittingLocal(PC pc,PetscInt n_is, IS ISForDofs[])
839 {
840   PetscInt       i;
841   PetscErrorCode ierr;
842 
843   PetscFunctionBegin;
844   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
845   PetscValidLogicalCollectiveInt(pc,n_is,2);
846   for (i=0;i<n_is;i++) {
847     PetscCheckSameComm(pc,1,ISForDofs[i],3);
848     PetscValidHeaderSpecific(ISForDofs[i],IS_CLASSID,3);
849   }
850   ierr = PetscTryMethod(pc,"PCBDDCSetDofsSplittingLocal_C",(PC,PetscInt,IS[]),(pc,n_is,ISForDofs));CHKERRQ(ierr);
851   PetscFunctionReturn(0);
852 }
853 /* -------------------------------------------------------------------------- */
854 
855 #undef __FUNCT__
856 #define __FUNCT__ "PCBDDCSetDofsSplitting_BDDC"
857 static PetscErrorCode PCBDDCSetDofsSplitting_BDDC(PC pc,PetscInt n_is, IS ISForDofs[])
858 {
859   PC_BDDC  *pcbddc = (PC_BDDC*)pc->data;
860   PetscInt i;
861   PetscErrorCode ierr;
862 
863   PetscFunctionBegin;
864   /* Destroy ISes if they were already set */
865   for (i=0;i<pcbddc->n_ISForDofs;i++) {
866     ierr = ISDestroy(&pcbddc->ISForDofs[i]);CHKERRQ(ierr);
867   }
868   ierr = PetscFree(pcbddc->ISForDofs);CHKERRQ(ierr);
869   /* last user setting takes precendence -> destroy any other customization */
870   for (i=0;i<pcbddc->n_ISForDofsLocal;i++) {
871     ierr = ISDestroy(&pcbddc->ISForDofsLocal[i]);CHKERRQ(ierr);
872   }
873   ierr = PetscFree(pcbddc->ISForDofsLocal);CHKERRQ(ierr);
874   pcbddc->n_ISForDofsLocal = 0;
875   /* allocate space then set */
876   if (n_is) {
877     ierr = PetscMalloc1(n_is,&pcbddc->ISForDofs);CHKERRQ(ierr);
878   }
879   for (i=0;i<n_is;i++) {
880     ierr = PetscObjectReference((PetscObject)ISForDofs[i]);CHKERRQ(ierr);
881     pcbddc->ISForDofs[i]=ISForDofs[i];
882   }
883   pcbddc->n_ISForDofs=n_is;
884   if (n_is) pcbddc->user_provided_isfordofs = PETSC_TRUE;
885   pcbddc->recompute_topography = PETSC_TRUE;
886   PetscFunctionReturn(0);
887 }
888 
889 #undef __FUNCT__
890 #define __FUNCT__ "PCBDDCSetDofsSplitting"
891 /*@
892  PCBDDCSetDofsSplitting - Set index sets defining fields of the global matrix
893 
894    Collective
895 
896    Input Parameters:
897 +  pc - the preconditioning context
898 -  n_is - number of index sets defining the fields
899 .  ISForDofs - array of IS describing the fields in global ordering
900 
901    Level: intermediate
902 
903    Notes: Any process can list any global node. Not all nodes need to be listed: unlisted nodes will belong to a different field.
904 
905 .seealso: PCBDDC
906 @*/
907 PetscErrorCode PCBDDCSetDofsSplitting(PC pc,PetscInt n_is, IS ISForDofs[])
908 {
909   PetscInt       i;
910   PetscErrorCode ierr;
911 
912   PetscFunctionBegin;
913   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
914   PetscValidLogicalCollectiveInt(pc,n_is,2);
915   for (i=0;i<n_is;i++) {
916     PetscCheckSameComm(pc,1,ISForDofs[i],3);
917     PetscValidHeaderSpecific(ISForDofs[i],IS_CLASSID,3);
918   }
919   ierr = PetscTryMethod(pc,"PCBDDCSetDofsSplitting_C",(PC,PetscInt,IS[]),(pc,n_is,ISForDofs));CHKERRQ(ierr);
920   PetscFunctionReturn(0);
921 }
922 
923 /* -------------------------------------------------------------------------- */
924 #undef __FUNCT__
925 #define __FUNCT__ "PCPreSolve_BDDC"
926 /* -------------------------------------------------------------------------- */
927 /*
928    PCPreSolve_BDDC - Changes the right hand side and (if necessary) the initial
929                      guess if a transformation of basis approach has been selected.
930 
931    Input Parameter:
932 +  pc - the preconditioner contex
933 
934    Application Interface Routine: PCPreSolve()
935 
936    Notes:
937    The interface routine PCPreSolve() is not usually called directly by
938    the user, but instead is called by KSPSolve().
939 */
940 static PetscErrorCode PCPreSolve_BDDC(PC pc, KSP ksp, Vec rhs, Vec x)
941 {
942   PetscErrorCode ierr;
943   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
944   PC_IS          *pcis = (PC_IS*)(pc->data);
945   Vec            used_vec;
946   PetscBool      copy_rhs = PETSC_TRUE;
947 
948   PetscFunctionBegin;
949   /* if we are working with cg, one dirichlet solve can be avoided during Krylov iterations */
950   if (ksp) {
951     PetscBool iscg;
952     ierr = PetscObjectTypeCompare((PetscObject)ksp,KSPCG,&iscg);CHKERRQ(ierr);
953     if (!iscg) {
954       ierr = PCBDDCSetUseExactDirichlet(pc,PETSC_FALSE);CHKERRQ(ierr);
955     }
956   }
957   /* Creates parallel work vectors used in presolve */
958   if (!pcbddc->original_rhs) {
959     ierr = VecDuplicate(pcis->vec1_global,&pcbddc->original_rhs);CHKERRQ(ierr);
960   }
961   if (!pcbddc->temp_solution) {
962     ierr = VecDuplicate(pcis->vec1_global,&pcbddc->temp_solution);CHKERRQ(ierr);
963   }
964 
965   if (x) {
966     ierr = PetscObjectReference((PetscObject)x);CHKERRQ(ierr);
967     used_vec = x;
968   } else { /* it can only happen when calling PCBDDCMatFETIDPGetRHS */
969     ierr = PetscObjectReference((PetscObject)pcbddc->temp_solution);CHKERRQ(ierr);
970     used_vec = pcbddc->temp_solution;
971     ierr = VecSet(used_vec,0.0);CHKERRQ(ierr);
972   }
973 
974   /* hack into ksp data structure since PCPreSolve comes earlier than setting to zero the guess in src/ksp/ksp/interface/itfunc.c */
975   if (ksp) {
976     ierr = KSPGetInitialGuessNonzero(ksp,&pcbddc->ksp_guess_nonzero);CHKERRQ(ierr);
977     if (!pcbddc->ksp_guess_nonzero) {
978       ierr = VecSet(used_vec,0.0);CHKERRQ(ierr);
979     }
980   }
981 
982   pcbddc->rhs_change = PETSC_FALSE;
983 
984   /* Take into account zeroed rows -> change rhs and store solution removed */
985   if (rhs && pcbddc->DirichletBoundariesLocal) {
986     IS dirIS = NULL;
987 
988     /* DirichletBoundariesLocal may not be consistent among neighbours */
989     ierr = PCBDDCGraphGetDirichletDofs(pcbddc->mat_graph,&dirIS);CHKERRQ(ierr);
990     if (dirIS) {
991       Mat_IS            *matis = (Mat_IS*)pc->pmat->data;
992       PetscInt          dirsize,i,*is_indices;
993       PetscScalar       *array_x;
994       const PetscScalar *array_diagonal;
995 
996       ierr = MatGetDiagonal(pc->pmat,pcis->vec1_global);CHKERRQ(ierr);
997       ierr = VecPointwiseDivide(pcis->vec1_global,rhs,pcis->vec1_global);CHKERRQ(ierr);
998       ierr = VecScatterBegin(matis->ctx,pcis->vec1_global,pcis->vec2_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
999       ierr = VecScatterEnd(matis->ctx,pcis->vec1_global,pcis->vec2_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1000       ierr = VecScatterBegin(matis->ctx,used_vec,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1001       ierr = VecScatterEnd(matis->ctx,used_vec,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1002       ierr = ISGetLocalSize(dirIS,&dirsize);CHKERRQ(ierr);
1003       ierr = VecGetArray(pcis->vec1_N,&array_x);CHKERRQ(ierr);
1004       ierr = VecGetArrayRead(pcis->vec2_N,&array_diagonal);CHKERRQ(ierr);
1005       ierr = ISGetIndices(dirIS,(const PetscInt**)&is_indices);CHKERRQ(ierr);
1006       for (i=0; i<dirsize; i++) array_x[is_indices[i]] = array_diagonal[is_indices[i]];
1007       ierr = ISRestoreIndices(dirIS,(const PetscInt**)&is_indices);CHKERRQ(ierr);
1008       ierr = VecRestoreArrayRead(pcis->vec2_N,&array_diagonal);CHKERRQ(ierr);
1009       ierr = VecRestoreArray(pcis->vec1_N,&array_x);CHKERRQ(ierr);
1010       ierr = VecScatterBegin(matis->ctx,pcis->vec1_N,used_vec,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1011       ierr = VecScatterEnd(matis->ctx,pcis->vec1_N,used_vec,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1012       pcbddc->rhs_change = PETSC_TRUE;
1013     }
1014     ierr = ISDestroy(&dirIS);CHKERRQ(ierr);
1015   }
1016 
1017   /* remove the computed solution or the initial guess from the rhs */
1018   if (pcbddc->rhs_change || (ksp && pcbddc->ksp_guess_nonzero) ) {
1019     /* store the original rhs */
1020     if (copy_rhs) {
1021       ierr = VecCopy(rhs,pcbddc->original_rhs);CHKERRQ(ierr);
1022       copy_rhs = PETSC_FALSE;
1023     }
1024     pcbddc->rhs_change = PETSC_TRUE;
1025     ierr = VecScale(used_vec,-1.0);CHKERRQ(ierr);
1026     ierr = MatMultAdd(pc->pmat,used_vec,rhs,rhs);CHKERRQ(ierr);
1027     ierr = VecScale(used_vec,-1.0);CHKERRQ(ierr);
1028     ierr = VecCopy(used_vec,pcbddc->temp_solution);CHKERRQ(ierr);
1029     if (ksp) {
1030       ierr = KSPSetInitialGuessNonzero(ksp,PETSC_FALSE);CHKERRQ(ierr);
1031     }
1032   }
1033   ierr = VecDestroy(&used_vec);CHKERRQ(ierr);
1034 
1035   /* store partially computed solution and set initial guess */
1036   if (x && pcbddc->use_exact_dirichlet_trick) {
1037     ierr = VecSet(x,0.0);CHKERRQ(ierr);
1038     ierr = VecScatterBegin(pcis->global_to_D,rhs,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1039     ierr = VecScatterEnd(pcis->global_to_D,rhs,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1040     ierr = KSPSolve(pcbddc->ksp_D,pcis->vec1_D,pcis->vec2_D);CHKERRQ(ierr);
1041     ierr = VecScatterBegin(pcis->global_to_D,pcis->vec2_D,x,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1042     ierr = VecScatterEnd(pcis->global_to_D,pcis->vec2_D,x,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1043     if (ksp && !pcbddc->ksp_guess_nonzero) {
1044       ierr = KSPSetInitialGuessNonzero(ksp,PETSC_TRUE);CHKERRQ(ierr);
1045     }
1046   }
1047 
1048   if (pcbddc->ChangeOfBasisMatrix) {
1049     PCBDDCChange_ctx change_ctx;
1050 
1051     /* get change ctx */
1052     ierr = MatShellGetContext(pcbddc->new_global_mat,&change_ctx);CHKERRQ(ierr);
1053 
1054     /* set current iteration matrix inside change context (change of basis has been already set into the ctx during PCSetUp) */
1055     ierr = MatDestroy(&change_ctx->original_mat);CHKERRQ(ierr);
1056     ierr = PetscObjectReference((PetscObject)pc->mat);CHKERRQ(ierr);
1057     change_ctx->original_mat = pc->mat;
1058 
1059     /* change iteration matrix */
1060     ierr = MatDestroy(&pc->mat);CHKERRQ(ierr);
1061     ierr = PetscObjectReference((PetscObject)pcbddc->new_global_mat);CHKERRQ(ierr);
1062     pc->mat = pcbddc->new_global_mat;
1063 
1064     /* store the original rhs */
1065     if (copy_rhs) {
1066       ierr = VecCopy(rhs,pcbddc->original_rhs);CHKERRQ(ierr);
1067       copy_rhs = PETSC_FALSE;
1068     }
1069 
1070     /* change rhs */
1071     ierr = MatMultTranspose(change_ctx->global_change,rhs,pcis->vec1_global);CHKERRQ(ierr);
1072     ierr = VecCopy(pcis->vec1_global,rhs);CHKERRQ(ierr);
1073     pcbddc->rhs_change = PETSC_TRUE;
1074   }
1075 
1076   /* remove nullspace if present */
1077   if (ksp && x && pcbddc->NullSpace) {
1078     ierr = MatNullSpaceRemove(pcbddc->NullSpace,x);CHKERRQ(ierr);
1079     /* store the original rhs */
1080     if (copy_rhs) {
1081       ierr = VecCopy(rhs,pcbddc->original_rhs);CHKERRQ(ierr);
1082       copy_rhs = PETSC_FALSE;
1083     }
1084     pcbddc->rhs_change = PETSC_TRUE;
1085     ierr = MatNullSpaceRemove(pcbddc->NullSpace,rhs);CHKERRQ(ierr);
1086   }
1087   PetscFunctionReturn(0);
1088 }
1089 
1090 /* -------------------------------------------------------------------------- */
1091 #undef __FUNCT__
1092 #define __FUNCT__ "PCPostSolve_BDDC"
1093 /* -------------------------------------------------------------------------- */
1094 /*
1095    PCPostSolve_BDDC - Changes the computed solution if a transformation of basis
1096                      approach has been selected. Also, restores rhs to its original state.
1097 
1098    Input Parameter:
1099 +  pc - the preconditioner contex
1100 
1101    Application Interface Routine: PCPostSolve()
1102 
1103    Notes:
1104    The interface routine PCPostSolve() is not usually called directly by
1105    the user, but instead is called by KSPSolve().
1106 */
1107 static PetscErrorCode PCPostSolve_BDDC(PC pc, KSP ksp, Vec rhs, Vec x)
1108 {
1109   PetscErrorCode ierr;
1110   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
1111 
1112   PetscFunctionBegin;
1113   if (pcbddc->ChangeOfBasisMatrix) {
1114     PCBDDCChange_ctx change_ctx;
1115 
1116     /* get change ctx */
1117     ierr = MatShellGetContext(pcbddc->new_global_mat,&change_ctx);CHKERRQ(ierr);
1118 
1119     /* restore iteration matrix */
1120     ierr = MatDestroy(&pc->mat);CHKERRQ(ierr);
1121     ierr = PetscObjectReference((PetscObject)change_ctx->original_mat);CHKERRQ(ierr);
1122     pc->mat = change_ctx->original_mat;
1123 
1124     /* get solution in original basis */
1125     if (x) {
1126       PC_IS *pcis = (PC_IS*)(pc->data);
1127       ierr = MatMult(change_ctx->global_change,x,pcis->vec1_global);CHKERRQ(ierr);
1128       ierr = VecCopy(pcis->vec1_global,x);CHKERRQ(ierr);
1129     }
1130   }
1131 
1132   /* add solution removed in presolve */
1133   if (x && pcbddc->rhs_change) {
1134     ierr = VecAXPY(x,1.0,pcbddc->temp_solution);CHKERRQ(ierr);
1135   }
1136 
1137   /* restore rhs to its original state */
1138   if (rhs && pcbddc->rhs_change) {
1139     ierr = VecCopy(pcbddc->original_rhs,rhs);CHKERRQ(ierr);
1140   }
1141   pcbddc->rhs_change = PETSC_FALSE;
1142 
1143   /* restore ksp guess state */
1144   if (ksp) {
1145     ierr = KSPSetInitialGuessNonzero(ksp,pcbddc->ksp_guess_nonzero);CHKERRQ(ierr);
1146   }
1147   PetscFunctionReturn(0);
1148 }
1149 /* -------------------------------------------------------------------------- */
1150 #undef __FUNCT__
1151 #define __FUNCT__ "PCSetUp_BDDC"
1152 /* -------------------------------------------------------------------------- */
1153 /*
1154    PCSetUp_BDDC - Prepares for the use of the BDDC preconditioner
1155                   by setting data structures and options.
1156 
1157    Input Parameter:
1158 +  pc - the preconditioner context
1159 
1160    Application Interface Routine: PCSetUp()
1161 
1162    Notes:
1163    The interface routine PCSetUp() is not usually called directly by
1164    the user, but instead is called by PCApply() if necessary.
1165 */
1166 PetscErrorCode PCSetUp_BDDC(PC pc)
1167 {
1168   PetscErrorCode ierr;
1169   PC_BDDC*       pcbddc = (PC_BDDC*)pc->data;
1170   Mat_IS*        matis;
1171   MatNullSpace   nearnullspace;
1172   PetscBool      computetopography,computesolvers,computesubschurs;
1173   PetscBool      computeconstraintsmatrix;
1174   PetscBool      new_nearnullspace_provided,ismatis;
1175 
1176   PetscFunctionBegin;
1177   ierr = PetscObjectTypeCompare((PetscObject)pc->pmat,MATIS,&ismatis);CHKERRQ(ierr);
1178   if (!ismatis) {
1179     SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_ARG_WRONG,"PCBDDC preconditioner requires matrix of type MATIS");
1180   }
1181   matis = (Mat_IS*)pc->pmat->data;
1182   /* the following lines of code should be replaced by a better logic between PCIS, PCNN, PCBDDC and other future nonoverlapping preconditioners */
1183   /* For BDDC we need to define a local "Neumann" problem different to that defined in PCISSetup
1184      Also, BDDC directly build the Dirichlet problem */
1185   /* split work */
1186   if (pc->setupcalled) {
1187     if (pc->flag == SAME_NONZERO_PATTERN) {
1188       computetopography = PETSC_FALSE;
1189       computesolvers = PETSC_TRUE;
1190     } else { /* DIFFERENT_NONZERO_PATTERN */
1191       computetopography = PETSC_TRUE;
1192       computesolvers = PETSC_TRUE;
1193     }
1194   } else {
1195     computetopography = PETSC_TRUE;
1196     computesolvers = PETSC_TRUE;
1197   }
1198   if (pcbddc->recompute_topography) {
1199     computetopography = PETSC_TRUE;
1200   }
1201   computeconstraintsmatrix = PETSC_FALSE;
1202   pcbddc->adaptive_selection = (PetscBool)(pcbddc->adaptive_threshold > 0.0);
1203   computesubschurs = (PetscBool)(pcbddc->use_deluxe_scaling || pcbddc->adaptive_selection);
1204 
1205   /* Get stdout for dbg */
1206   if (pcbddc->dbg_flag) {
1207     if (!pcbddc->dbg_viewer) {
1208       pcbddc->dbg_viewer = PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)pc));
1209       ierr = PetscViewerASCIISynchronizedAllow(pcbddc->dbg_viewer,PETSC_TRUE);CHKERRQ(ierr);
1210     }
1211     ierr = PetscViewerASCIIAddTab(pcbddc->dbg_viewer,2*pcbddc->current_level);CHKERRQ(ierr);
1212   }
1213 
1214   /*ierr = MatIsSymmetric(pc->pmat,0.,&pcbddc->issym);CHKERRQ(ierr);*/
1215   { /* this is a temporary workaround since seqbaij matrices does not have support for symmetry checking */
1216     PetscBool setsym;
1217     ierr = MatIsSymmetricKnown(pc->pmat,&setsym,&pcbddc->issym);CHKERRQ(ierr);
1218     if (!setsym) pcbddc->issym = PETSC_FALSE;
1219   }
1220 
1221   if (pcbddc->user_ChangeOfBasisMatrix) {
1222     /* use_change_of_basis flag is used to automatically compute a change of basis from constraints */
1223     pcbddc->use_change_of_basis = PETSC_FALSE;
1224     ierr = PCBDDCComputeLocalMatrix(pc,pcbddc->user_ChangeOfBasisMatrix);CHKERRQ(ierr);
1225   } else {
1226     ierr = MatDestroy(&pcbddc->local_mat);CHKERRQ(ierr);
1227     ierr = PetscObjectReference((PetscObject)matis->A);CHKERRQ(ierr);
1228     pcbddc->local_mat = matis->A;
1229   }
1230 
1231   /* workaround for reals */
1232 #if !defined(PETSC_USE_COMPLEX)
1233   ierr = MatSetOption(pcbddc->local_mat,MAT_HERMITIAN,pcbddc->issym);CHKERRQ(ierr);
1234 #endif
1235 
1236   /* Set up all the "iterative substructuring" common block without computing solvers */
1237   {
1238     Mat temp_mat;
1239 
1240     temp_mat = matis->A;
1241     matis->A = pcbddc->local_mat;
1242     ierr = PCISSetUp(pc,PETSC_FALSE);CHKERRQ(ierr);
1243     pcbddc->local_mat = matis->A;
1244     matis->A = temp_mat;
1245   }
1246 
1247   /* Analyze interface and setup sub_schurs data */
1248   if (computetopography) {
1249     ierr = PCBDDCAnalyzeInterface(pc);CHKERRQ(ierr);
1250     computeconstraintsmatrix = PETSC_TRUE;
1251   }
1252 
1253   /* Setup local dirichlet solver ksp_D and sub_schurs solvers */
1254   if (computesolvers) {
1255     ierr = PCBDDCSetUpLocalSolvers(pc,PETSC_TRUE,PETSC_FALSE);CHKERRQ(ierr);
1256     if (computesubschurs) {
1257       if (computetopography) {
1258         ierr = PCBDDCInitSubSchurs(pc);CHKERRQ(ierr);
1259       }
1260       ierr = PCBDDCSetUpSubSchurs(pc);CHKERRQ(ierr);
1261       if (pcbddc->adaptive_selection) {
1262         ierr = PCBDDCAdaptiveSelection(pc);CHKERRQ(ierr);
1263         computeconstraintsmatrix = PETSC_TRUE;
1264       }
1265     }
1266   }
1267 
1268   /* infer if NullSpace object attached to Mat via MatSetNearNullSpace has changed */
1269   new_nearnullspace_provided = PETSC_FALSE;
1270   ierr = MatGetNearNullSpace(pc->pmat,&nearnullspace);CHKERRQ(ierr);
1271   if (pcbddc->onearnullspace) { /* already used nearnullspace */
1272     if (!nearnullspace) { /* near null space attached to mat has been destroyed */
1273       new_nearnullspace_provided = PETSC_TRUE;
1274     } else {
1275       /* determine if the two nullspaces are different (should be lightweight) */
1276       if (nearnullspace != pcbddc->onearnullspace) {
1277         new_nearnullspace_provided = PETSC_TRUE;
1278       } else { /* maybe the user has changed the content of the nearnullspace so check vectors ObjectStateId */
1279         PetscInt         i;
1280         const Vec        *nearnullvecs;
1281         PetscObjectState state;
1282         PetscInt         nnsp_size;
1283         ierr = MatNullSpaceGetVecs(nearnullspace,NULL,&nnsp_size,&nearnullvecs);CHKERRQ(ierr);
1284         for (i=0;i<nnsp_size;i++) {
1285           ierr = PetscObjectStateGet((PetscObject)nearnullvecs[i],&state);CHKERRQ(ierr);
1286           if (pcbddc->onearnullvecs_state[i] != state) {
1287             new_nearnullspace_provided = PETSC_TRUE;
1288             break;
1289           }
1290         }
1291       }
1292     }
1293   } else {
1294     if (!nearnullspace) { /* both nearnullspaces are null */
1295       new_nearnullspace_provided = PETSC_FALSE;
1296     } else { /* nearnullspace attached later */
1297       new_nearnullspace_provided = PETSC_TRUE;
1298     }
1299   }
1300 
1301   /* Setup constraints and related work vectors */
1302   /* reset primal space flags */
1303   pcbddc->new_primal_space = PETSC_FALSE;
1304   pcbddc->new_primal_space_local = PETSC_FALSE;
1305   if (computeconstraintsmatrix || new_nearnullspace_provided) {
1306     /* It also sets the primal space flags */
1307     ierr = PCBDDCConstraintsSetUp(pc);CHKERRQ(ierr);
1308     /* Allocate needed local vectors (which depends on quantities defined during ConstraintsSetUp) */
1309     ierr = PCBDDCSetUpLocalWorkVectors(pc);CHKERRQ(ierr);
1310   }
1311 
1312   if (computesolvers || pcbddc->new_primal_space) {
1313     if (pcbddc->use_change_of_basis) {
1314       PC_IS *pcis = (PC_IS*)(pc->data);
1315 
1316       ierr = PCBDDCComputeLocalMatrix(pc,pcbddc->ChangeOfBasisMatrix);CHKERRQ(ierr);
1317       /* get submatrices */
1318       ierr = MatDestroy(&pcis->A_IB);CHKERRQ(ierr);
1319       ierr = MatDestroy(&pcis->A_BI);CHKERRQ(ierr);
1320       ierr = MatDestroy(&pcis->A_BB);CHKERRQ(ierr);
1321       ierr = MatGetSubMatrix(pcbddc->local_mat,pcis->is_B_local,pcis->is_B_local,MAT_INITIAL_MATRIX,&pcis->A_BB);CHKERRQ(ierr);
1322       ierr = MatGetSubMatrix(pcbddc->local_mat,pcis->is_I_local,pcis->is_B_local,MAT_INITIAL_MATRIX,&pcis->A_IB);CHKERRQ(ierr);
1323       ierr = MatGetSubMatrix(pcbddc->local_mat,pcis->is_B_local,pcis->is_I_local,MAT_INITIAL_MATRIX,&pcis->A_BI);CHKERRQ(ierr);
1324       /* set flag in pcis to not reuse submatrices during PCISCreate */
1325       pcis->reusesubmatrices = PETSC_FALSE;
1326     } else if (!pcbddc->user_ChangeOfBasisMatrix) {
1327       ierr = MatDestroy(&pcbddc->local_mat);CHKERRQ(ierr);
1328       ierr = PetscObjectReference((PetscObject)matis->A);CHKERRQ(ierr);
1329       pcbddc->local_mat = matis->A;
1330     }
1331     /* SetUp coarse and local Neumann solvers */
1332     ierr = PCBDDCSetUpSolvers(pc);CHKERRQ(ierr);
1333     /* SetUp Scaling operator */
1334     ierr = PCBDDCScalingSetUp(pc);CHKERRQ(ierr);
1335   }
1336 
1337   if (pcbddc->dbg_flag) {
1338     ierr = PetscViewerASCIISubtractTab(pcbddc->dbg_viewer,2*pcbddc->current_level);CHKERRQ(ierr);
1339   }
1340   PetscFunctionReturn(0);
1341 }
1342 
1343 /* -------------------------------------------------------------------------- */
1344 /*
1345    PCApply_BDDC - Applies the BDDC operator to a vector.
1346 
1347    Input Parameters:
1348 .  pc - the preconditioner context
1349 .  r - input vector (global)
1350 
1351    Output Parameter:
1352 .  z - output vector (global)
1353 
1354    Application Interface Routine: PCApply()
1355  */
1356 #undef __FUNCT__
1357 #define __FUNCT__ "PCApply_BDDC"
1358 PetscErrorCode PCApply_BDDC(PC pc,Vec r,Vec z)
1359 {
1360   PC_IS             *pcis = (PC_IS*)(pc->data);
1361   PC_BDDC           *pcbddc = (PC_BDDC*)(pc->data);
1362   PetscInt          n_B = pcis->n_B, n_D = pcis->n - n_B;
1363   PetscErrorCode    ierr;
1364   const PetscScalar one = 1.0;
1365   const PetscScalar m_one = -1.0;
1366   const PetscScalar zero = 0.0;
1367 
1368 /* This code is similar to that provided in nn.c for PCNN
1369    NN interface preconditioner changed to BDDC
1370    Added support for M_3 preconditioner in the reference article (code is active if pcbddc->switch_static == PETSC_TRUE) */
1371 
1372   PetscFunctionBegin;
1373   if (!pcbddc->use_exact_dirichlet_trick) {
1374     ierr = VecCopy(r,z);CHKERRQ(ierr);
1375     /* First Dirichlet solve */
1376     ierr = VecScatterBegin(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1377     ierr = VecScatterEnd(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1378     /*
1379       Assembling right hand side for BDDC operator
1380       - pcis->vec1_D for the Dirichlet part (if needed, i.e. pcbddc->switch_static == PETSC_TRUE)
1381       - pcis->vec1_B the interface part of the global vector z
1382     */
1383     if (n_D) {
1384       ierr = KSPSolve(pcbddc->ksp_D,pcis->vec1_D,pcis->vec2_D);CHKERRQ(ierr);
1385       ierr = VecScale(pcis->vec2_D,m_one);CHKERRQ(ierr);
1386       if (pcbddc->switch_static) { ierr = MatMultAdd(pcis->A_II,pcis->vec2_D,pcis->vec1_D,pcis->vec1_D);CHKERRQ(ierr); }
1387       ierr = MatMult(pcis->A_BI,pcis->vec2_D,pcis->vec1_B);CHKERRQ(ierr);
1388     } else {
1389       ierr = VecSet(pcis->vec1_B,zero);CHKERRQ(ierr);
1390     }
1391     ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1392     ierr = VecScatterEnd(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1393     ierr = PCBDDCScalingRestriction(pc,z,pcis->vec1_B);CHKERRQ(ierr);
1394   } else {
1395     if (pcbddc->switch_static) {
1396       ierr = VecSet(pcis->vec1_D,zero);CHKERRQ(ierr);
1397     }
1398     ierr = PCBDDCScalingRestriction(pc,r,pcis->vec1_B);CHKERRQ(ierr);
1399   }
1400 
1401   /* Apply interface preconditioner
1402      input/output vecs: pcis->vec1_B and pcis->vec1_D */
1403   ierr = PCBDDCApplyInterfacePreconditioner(pc,PETSC_FALSE);CHKERRQ(ierr);
1404 
1405   /* Apply transpose of partition of unity operator */
1406   ierr = PCBDDCScalingExtension(pc,pcis->vec1_B,z);CHKERRQ(ierr);
1407 
1408   /* Second Dirichlet solve and assembling of output */
1409   ierr = VecScatterBegin(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1410   ierr = VecScatterEnd(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1411   if (n_B) {
1412     ierr = MatMult(pcis->A_IB,pcis->vec1_B,pcis->vec3_D);CHKERRQ(ierr);
1413     if (pcbddc->switch_static) { ierr = MatMultAdd(pcis->A_II,pcis->vec1_D,pcis->vec3_D,pcis->vec3_D);CHKERRQ(ierr); }
1414   } else if (pcbddc->switch_static) {
1415     ierr = MatMult(pcis->A_II,pcis->vec1_D,pcis->vec3_D);CHKERRQ(ierr);
1416   }
1417   ierr = KSPSolve(pcbddc->ksp_D,pcis->vec3_D,pcis->vec4_D);CHKERRQ(ierr);
1418   if (!pcbddc->use_exact_dirichlet_trick) {
1419     if (pcbddc->switch_static) {
1420       ierr = VecAXPBYPCZ(pcis->vec2_D,m_one,one,m_one,pcis->vec4_D,pcis->vec1_D);CHKERRQ(ierr);
1421     } else {
1422       ierr = VecAXPBY(pcis->vec2_D,m_one,m_one,pcis->vec4_D);CHKERRQ(ierr);
1423     }
1424     ierr = VecScatterBegin(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1425     ierr = VecScatterEnd(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1426   } else {
1427     if (pcbddc->switch_static) {
1428       ierr = VecAXPBY(pcis->vec4_D,one,m_one,pcis->vec1_D);CHKERRQ(ierr);
1429     } else {
1430       ierr = VecScale(pcis->vec4_D,m_one);CHKERRQ(ierr);
1431     }
1432     ierr = VecScatterBegin(pcis->global_to_D,pcis->vec4_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1433     ierr = VecScatterEnd(pcis->global_to_D,pcis->vec4_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1434   }
1435   PetscFunctionReturn(0);
1436 }
1437 
1438 /* -------------------------------------------------------------------------- */
1439 /*
1440    PCApplyTranspose_BDDC - Applies the transpose of the BDDC operator to a vector.
1441 
1442    Input Parameters:
1443 .  pc - the preconditioner context
1444 .  r - input vector (global)
1445 
1446    Output Parameter:
1447 .  z - output vector (global)
1448 
1449    Application Interface Routine: PCApplyTranspose()
1450  */
1451 #undef __FUNCT__
1452 #define __FUNCT__ "PCApplyTranspose_BDDC"
1453 PetscErrorCode PCApplyTranspose_BDDC(PC pc,Vec r,Vec z)
1454 {
1455   PC_IS             *pcis = (PC_IS*)(pc->data);
1456   PC_BDDC           *pcbddc = (PC_BDDC*)(pc->data);
1457   PetscInt          n_B = pcis->n_B, n_D = pcis->n - n_B;
1458   PetscErrorCode    ierr;
1459   const PetscScalar one = 1.0;
1460   const PetscScalar m_one = -1.0;
1461   const PetscScalar zero = 0.0;
1462 
1463   PetscFunctionBegin;
1464   if (!pcbddc->use_exact_dirichlet_trick) {
1465     ierr = VecCopy(r,z);CHKERRQ(ierr);
1466     /* First Dirichlet solve */
1467     ierr = VecScatterBegin(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1468     ierr = VecScatterEnd(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1469     /*
1470       Assembling right hand side for BDDC operator
1471       - pcis->vec1_D for the Dirichlet part (if needed, i.e. pcbddc->switch_static == PETSC_TRUE)
1472       - pcis->vec1_B the interface part of the global vector z
1473     */
1474     if (n_D) {
1475       ierr = KSPSolveTranspose(pcbddc->ksp_D,pcis->vec1_D,pcis->vec2_D);CHKERRQ(ierr);
1476       ierr = VecScale(pcis->vec2_D,m_one);CHKERRQ(ierr);
1477       if (pcbddc->switch_static) { ierr = MatMultTransposeAdd(pcis->A_II,pcis->vec2_D,pcis->vec1_D,pcis->vec1_D);CHKERRQ(ierr); }
1478       ierr = MatMultTranspose(pcis->A_IB,pcis->vec2_D,pcis->vec1_B);CHKERRQ(ierr);
1479     } else {
1480       ierr = VecSet(pcis->vec1_B,zero);CHKERRQ(ierr);
1481     }
1482     ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1483     ierr = VecScatterEnd(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1484     ierr = PCBDDCScalingRestriction(pc,z,pcis->vec1_B);CHKERRQ(ierr);
1485   } else {
1486     if (pcbddc->switch_static) {
1487       ierr = VecSet(pcis->vec1_D,zero);CHKERRQ(ierr);
1488     }
1489     ierr = PCBDDCScalingRestriction(pc,r,pcis->vec1_B);CHKERRQ(ierr);
1490   }
1491 
1492   /* Apply interface preconditioner
1493      input/output vecs: pcis->vec1_B and pcis->vec1_D */
1494   ierr = PCBDDCApplyInterfacePreconditioner(pc,PETSC_TRUE);CHKERRQ(ierr);
1495 
1496   /* Apply transpose of partition of unity operator */
1497   ierr = PCBDDCScalingExtension(pc,pcis->vec1_B,z);CHKERRQ(ierr);
1498 
1499   /* Second Dirichlet solve and assembling of output */
1500   ierr = VecScatterBegin(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1501   ierr = VecScatterEnd(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1502   if (n_B) {
1503     ierr = MatMultTranspose(pcis->A_BI,pcis->vec1_B,pcis->vec3_D);CHKERRQ(ierr);
1504     if (pcbddc->switch_static) { ierr = MatMultTransposeAdd(pcis->A_II,pcis->vec1_D,pcis->vec3_D,pcis->vec3_D);CHKERRQ(ierr); }
1505   } else if (pcbddc->switch_static) {
1506     ierr = MatMultTranspose(pcis->A_II,pcis->vec1_D,pcis->vec3_D);CHKERRQ(ierr);
1507   }
1508   ierr = KSPSolveTranspose(pcbddc->ksp_D,pcis->vec3_D,pcis->vec4_D);CHKERRQ(ierr);
1509   if (!pcbddc->use_exact_dirichlet_trick) {
1510     if (pcbddc->switch_static) {
1511       ierr = VecAXPBYPCZ(pcis->vec2_D,m_one,one,m_one,pcis->vec4_D,pcis->vec1_D);CHKERRQ(ierr);
1512     } else {
1513       ierr = VecAXPBY(pcis->vec2_D,m_one,m_one,pcis->vec4_D);CHKERRQ(ierr);
1514     }
1515     ierr = VecScatterBegin(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1516     ierr = VecScatterEnd(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1517   } else {
1518     if (pcbddc->switch_static) {
1519       ierr = VecAXPBY(pcis->vec4_D,one,m_one,pcis->vec1_D);CHKERRQ(ierr);
1520     } else {
1521       ierr = VecScale(pcis->vec4_D,m_one);CHKERRQ(ierr);
1522     }
1523     ierr = VecScatterBegin(pcis->global_to_D,pcis->vec4_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1524     ierr = VecScatterEnd(pcis->global_to_D,pcis->vec4_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1525   }
1526   PetscFunctionReturn(0);
1527 }
1528 /* -------------------------------------------------------------------------- */
1529 
1530 #undef __FUNCT__
1531 #define __FUNCT__ "PCDestroy_BDDC"
1532 PetscErrorCode PCDestroy_BDDC(PC pc)
1533 {
1534   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
1535   PetscErrorCode ierr;
1536 
1537   PetscFunctionBegin;
1538   /* free data created by PCIS */
1539   ierr = PCISDestroy(pc);CHKERRQ(ierr);
1540   /* free BDDC custom data  */
1541   ierr = PCBDDCResetCustomization(pc);CHKERRQ(ierr);
1542   /* destroy objects related to topography */
1543   ierr = PCBDDCResetTopography(pc);CHKERRQ(ierr);
1544   /* free allocated graph structure */
1545   ierr = PetscFree(pcbddc->mat_graph);CHKERRQ(ierr);
1546   /* free allocated sub schurs structure */
1547   ierr = PetscFree(pcbddc->sub_schurs);CHKERRQ(ierr);
1548   /* destroy objects for scaling operator */
1549   ierr = PCBDDCScalingDestroy(pc);CHKERRQ(ierr);
1550   ierr = PetscFree(pcbddc->deluxe_ctx);CHKERRQ(ierr);
1551   /* free solvers stuff */
1552   ierr = PCBDDCResetSolvers(pc);CHKERRQ(ierr);
1553   /* free global vectors needed in presolve */
1554   ierr = VecDestroy(&pcbddc->temp_solution);CHKERRQ(ierr);
1555   ierr = VecDestroy(&pcbddc->original_rhs);CHKERRQ(ierr);
1556   /* free stuff for change of basis hooks */
1557   if (pcbddc->new_global_mat) {
1558     PCBDDCChange_ctx change_ctx;
1559     ierr = MatShellGetContext(pcbddc->new_global_mat,&change_ctx);CHKERRQ(ierr);
1560     ierr = MatDestroy(&change_ctx->original_mat);CHKERRQ(ierr);
1561     ierr = MatDestroy(&change_ctx->global_change);CHKERRQ(ierr);
1562     ierr = VecDestroyVecs(2,&change_ctx->work);CHKERRQ(ierr);
1563     ierr = PetscFree(change_ctx);CHKERRQ(ierr);
1564   }
1565   ierr = MatDestroy(&pcbddc->new_global_mat);CHKERRQ(ierr);
1566   /* remove functions */
1567   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetChangeOfBasisMat_C",NULL);CHKERRQ(ierr);
1568   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetPrimalVerticesLocalIS_C",NULL);CHKERRQ(ierr);
1569   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetCoarseningRatio_C",NULL);CHKERRQ(ierr);
1570   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevel_C",NULL);CHKERRQ(ierr);
1571   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetUseExactDirichlet_C",NULL);CHKERRQ(ierr);
1572   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevels_C",NULL);CHKERRQ(ierr);
1573   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNullSpace_C",NULL);CHKERRQ(ierr);
1574   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundaries_C",NULL);CHKERRQ(ierr);
1575   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundariesLocal_C",NULL);CHKERRQ(ierr);
1576   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundaries_C",NULL);CHKERRQ(ierr);
1577   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundariesLocal_C",NULL);CHKERRQ(ierr);
1578   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundaries_C",NULL);CHKERRQ(ierr);
1579   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundariesLocal_C",NULL);CHKERRQ(ierr);
1580   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundaries_C",NULL);CHKERRQ(ierr);
1581   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundariesLocal_C",NULL);CHKERRQ(ierr);
1582   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplitting_C",NULL);CHKERRQ(ierr);
1583   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplittingLocal_C",NULL);CHKERRQ(ierr);
1584   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLocalAdjacencyGraph_C",NULL);CHKERRQ(ierr);
1585   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCCreateFETIDPOperators_C",NULL);CHKERRQ(ierr);
1586   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetRHS_C",NULL);CHKERRQ(ierr);
1587   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetSolution_C",NULL);CHKERRQ(ierr);
1588   /* Free the private data structure */
1589   ierr = PetscFree(pc->data);CHKERRQ(ierr);
1590   PetscFunctionReturn(0);
1591 }
1592 /* -------------------------------------------------------------------------- */
1593 
1594 #undef __FUNCT__
1595 #define __FUNCT__ "PCBDDCMatFETIDPGetRHS_BDDC"
1596 static PetscErrorCode PCBDDCMatFETIDPGetRHS_BDDC(Mat fetidp_mat, Vec standard_rhs, Vec fetidp_flux_rhs)
1597 {
1598   FETIDPMat_ctx  mat_ctx;
1599   Vec            copy_standard_rhs;
1600   PC_IS*         pcis;
1601   PC_BDDC*       pcbddc;
1602   PetscErrorCode ierr;
1603 
1604   PetscFunctionBegin;
1605   ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr);
1606   pcis = (PC_IS*)mat_ctx->pc->data;
1607   pcbddc = (PC_BDDC*)mat_ctx->pc->data;
1608 
1609   /*
1610      change of basis for physical rhs if needed
1611      It also changes the rhs in case of dirichlet boundaries
1612      TODO: better management when FETIDP will have its own class
1613   */
1614   ierr = VecDuplicate(standard_rhs,&copy_standard_rhs);CHKERRQ(ierr);
1615   ierr = VecCopy(standard_rhs,copy_standard_rhs);CHKERRQ(ierr);
1616   ierr = PCPreSolve_BDDC(mat_ctx->pc,NULL,copy_standard_rhs,NULL);CHKERRQ(ierr);
1617   /* store vectors for computation of fetidp final solution */
1618   ierr = VecScatterBegin(pcis->global_to_D,copy_standard_rhs,mat_ctx->temp_solution_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1619   ierr = VecScatterEnd(pcis->global_to_D,copy_standard_rhs,mat_ctx->temp_solution_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1620   /* scale rhs since it should be unassembled */
1621   /* TODO use counter scaling? (also below) */
1622   ierr = VecScatterBegin(pcis->global_to_B,copy_standard_rhs,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1623   ierr = VecScatterEnd(pcis->global_to_B,copy_standard_rhs,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1624   /* Apply partition of unity */
1625   ierr = VecPointwiseMult(mat_ctx->temp_solution_B,pcis->D,mat_ctx->temp_solution_B);CHKERRQ(ierr);
1626   /* ierr = PCBDDCScalingRestriction(mat_ctx->pc,copy_standard_rhs,mat_ctx->temp_solution_B);CHKERRQ(ierr); */
1627   if (!pcbddc->switch_static) {
1628     /* compute partially subassembled Schur complement right-hand side */
1629     ierr = KSPSolve(pcbddc->ksp_D,mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr);
1630     ierr = MatMult(pcis->A_BI,pcis->vec1_D,pcis->vec1_B);CHKERRQ(ierr);
1631     ierr = VecAXPY(mat_ctx->temp_solution_B,-1.0,pcis->vec1_B);CHKERRQ(ierr);
1632     ierr = VecSet(copy_standard_rhs,0.0);CHKERRQ(ierr);
1633     ierr = VecScatterBegin(pcis->global_to_B,mat_ctx->temp_solution_B,copy_standard_rhs,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1634     ierr = VecScatterEnd(pcis->global_to_B,mat_ctx->temp_solution_B,copy_standard_rhs,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1635     /* ierr = PCBDDCScalingRestriction(mat_ctx->pc,copy_standard_rhs,mat_ctx->temp_solution_B);CHKERRQ(ierr); */
1636     ierr = VecScatterBegin(pcis->global_to_B,copy_standard_rhs,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1637     ierr = VecScatterEnd(pcis->global_to_B,copy_standard_rhs,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1638     ierr = VecPointwiseMult(mat_ctx->temp_solution_B,pcis->D,mat_ctx->temp_solution_B);CHKERRQ(ierr);
1639   }
1640   ierr = VecDestroy(&copy_standard_rhs);CHKERRQ(ierr);
1641   /* BDDC rhs */
1642   ierr = VecCopy(mat_ctx->temp_solution_B,pcis->vec1_B);CHKERRQ(ierr);
1643   if (pcbddc->switch_static) {
1644     ierr = VecCopy(mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr);
1645   }
1646   /* apply BDDC */
1647   ierr = PCBDDCApplyInterfacePreconditioner(mat_ctx->pc,PETSC_FALSE);CHKERRQ(ierr);
1648   /* Application of B_delta and assembling of rhs for fetidp fluxes */
1649   ierr = VecSet(fetidp_flux_rhs,0.0);CHKERRQ(ierr);
1650   ierr = MatMult(mat_ctx->B_delta,pcis->vec1_B,mat_ctx->lambda_local);CHKERRQ(ierr);
1651   ierr = VecScatterBegin(mat_ctx->l2g_lambda,mat_ctx->lambda_local,fetidp_flux_rhs,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1652   ierr = VecScatterEnd(mat_ctx->l2g_lambda,mat_ctx->lambda_local,fetidp_flux_rhs,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1653   PetscFunctionReturn(0);
1654 }
1655 
1656 #undef __FUNCT__
1657 #define __FUNCT__ "PCBDDCMatFETIDPGetRHS"
1658 /*@
1659  PCBDDCMatFETIDPGetRHS - Compute the right-hand side for FETIDP linear system
1660 
1661    Collective
1662 
1663    Input Parameters:
1664 +  fetidp_mat   - the FETIDP matrix object obtained by calling PCBDDCCreateFETIDPOperators
1665 .  standard_rhs - the right-hand side for your linear system
1666 
1667    Output Parameters:
1668 -  fetidp_flux_rhs   - the right-hand side for the FETIDP linear system
1669 
1670    Level: developer
1671 
1672    Notes:
1673 
1674 .seealso: PCBDDC,PCBDDCCreateFETIDPOperators
1675 @*/
1676 PetscErrorCode PCBDDCMatFETIDPGetRHS(Mat fetidp_mat, Vec standard_rhs, Vec fetidp_flux_rhs)
1677 {
1678   FETIDPMat_ctx  mat_ctx;
1679   PetscErrorCode ierr;
1680 
1681   PetscFunctionBegin;
1682   ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr);
1683   ierr = PetscTryMethod(mat_ctx->pc,"PCBDDCMatFETIDPGetRHS_C",(Mat,Vec,Vec),(fetidp_mat,standard_rhs,fetidp_flux_rhs));CHKERRQ(ierr);
1684   PetscFunctionReturn(0);
1685 }
1686 /* -------------------------------------------------------------------------- */
1687 
1688 #undef __FUNCT__
1689 #define __FUNCT__ "PCBDDCMatFETIDPGetSolution_BDDC"
1690 static PetscErrorCode PCBDDCMatFETIDPGetSolution_BDDC(Mat fetidp_mat, Vec fetidp_flux_sol, Vec standard_sol)
1691 {
1692   FETIDPMat_ctx  mat_ctx;
1693   PC_IS*         pcis;
1694   PC_BDDC*       pcbddc;
1695   PetscErrorCode ierr;
1696 
1697   PetscFunctionBegin;
1698   ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr);
1699   pcis = (PC_IS*)mat_ctx->pc->data;
1700   pcbddc = (PC_BDDC*)mat_ctx->pc->data;
1701 
1702   /* apply B_delta^T */
1703   ierr = VecScatterBegin(mat_ctx->l2g_lambda,fetidp_flux_sol,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1704   ierr = VecScatterEnd  (mat_ctx->l2g_lambda,fetidp_flux_sol,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1705   ierr = MatMultTranspose(mat_ctx->B_delta,mat_ctx->lambda_local,pcis->vec1_B);CHKERRQ(ierr);
1706   /* compute rhs for BDDC application */
1707   ierr = VecAYPX(pcis->vec1_B,-1.0,mat_ctx->temp_solution_B);CHKERRQ(ierr);
1708   if (pcbddc->switch_static) {
1709     ierr = VecCopy(mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr);
1710   }
1711   /* apply BDDC */
1712   ierr = PCBDDCApplyInterfacePreconditioner(mat_ctx->pc,PETSC_FALSE);CHKERRQ(ierr);
1713   /* put values into standard global vector */
1714   ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_B,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1715   ierr = VecScatterEnd  (pcis->global_to_B,pcis->vec1_B,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1716   if (!pcbddc->switch_static) {
1717     /* compute values into the interior if solved for the partially subassembled Schur complement */
1718     ierr = MatMult(pcis->A_IB,pcis->vec1_B,pcis->vec1_D);CHKERRQ(ierr);
1719     ierr = VecAXPY(mat_ctx->temp_solution_D,-1.0,pcis->vec1_D);CHKERRQ(ierr);
1720     ierr = KSPSolve(pcbddc->ksp_D,mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr);
1721   }
1722   ierr = VecScatterBegin(pcis->global_to_D,pcis->vec1_D,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1723   ierr = VecScatterEnd  (pcis->global_to_D,pcis->vec1_D,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1724   /* final change of basis if needed
1725      Is also sums the dirichlet part removed during RHS assembling */
1726   ierr = PCPostSolve_BDDC(mat_ctx->pc,NULL,NULL,standard_sol);CHKERRQ(ierr);
1727   PetscFunctionReturn(0);
1728 }
1729 
1730 #undef __FUNCT__
1731 #define __FUNCT__ "PCBDDCMatFETIDPGetSolution"
1732 /*@
1733  PCBDDCMatFETIDPGetSolution - Compute the physical solution from the solution of the FETIDP linear system
1734 
1735    Collective
1736 
1737    Input Parameters:
1738 +  fetidp_mat        - the FETIDP matrix obtained by calling PCBDDCCreateFETIDPOperators
1739 .  fetidp_flux_sol - the solution of the FETIDP linear system
1740 
1741    Output Parameters:
1742 -  standard_sol      - the solution defined on the physical domain
1743 
1744    Level: developer
1745 
1746    Notes:
1747 
1748 .seealso: PCBDDC,PCBDDCCreateFETIDPOperators
1749 @*/
1750 PetscErrorCode PCBDDCMatFETIDPGetSolution(Mat fetidp_mat, Vec fetidp_flux_sol, Vec standard_sol)
1751 {
1752   FETIDPMat_ctx  mat_ctx;
1753   PetscErrorCode ierr;
1754 
1755   PetscFunctionBegin;
1756   ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr);
1757   ierr = PetscTryMethod(mat_ctx->pc,"PCBDDCMatFETIDPGetSolution_C",(Mat,Vec,Vec),(fetidp_mat,fetidp_flux_sol,standard_sol));CHKERRQ(ierr);
1758   PetscFunctionReturn(0);
1759 }
1760 /* -------------------------------------------------------------------------- */
1761 
1762 extern PetscErrorCode FETIDPMatMult(Mat,Vec,Vec);
1763 extern PetscErrorCode FETIDPMatMultTranspose(Mat,Vec,Vec);
1764 extern PetscErrorCode PCBDDCDestroyFETIDPMat(Mat);
1765 extern PetscErrorCode FETIDPPCApply(PC,Vec,Vec);
1766 extern PetscErrorCode FETIDPPCApplyTranspose(PC,Vec,Vec);
1767 extern PetscErrorCode PCBDDCDestroyFETIDPPC(PC);
1768 
1769 #undef __FUNCT__
1770 #define __FUNCT__ "PCBDDCCreateFETIDPOperators_BDDC"
1771 static PetscErrorCode PCBDDCCreateFETIDPOperators_BDDC(PC pc, Mat *fetidp_mat, PC *fetidp_pc)
1772 {
1773 
1774   FETIDPMat_ctx  fetidpmat_ctx;
1775   Mat            newmat;
1776   FETIDPPC_ctx   fetidppc_ctx;
1777   PC             newpc;
1778   MPI_Comm       comm;
1779   PetscErrorCode ierr;
1780 
1781   PetscFunctionBegin;
1782   ierr = PetscObjectGetComm((PetscObject)pc,&comm);CHKERRQ(ierr);
1783   /* FETIDP linear matrix */
1784   ierr = PCBDDCCreateFETIDPMatContext(pc,&fetidpmat_ctx);CHKERRQ(ierr);
1785   ierr = PCBDDCSetupFETIDPMatContext(fetidpmat_ctx);CHKERRQ(ierr);
1786   ierr = MatCreateShell(comm,PETSC_DECIDE,PETSC_DECIDE,fetidpmat_ctx->n_lambda,fetidpmat_ctx->n_lambda,fetidpmat_ctx,&newmat);CHKERRQ(ierr);
1787   ierr = MatShellSetOperation(newmat,MATOP_MULT,(void (*)(void))FETIDPMatMult);CHKERRQ(ierr);
1788   ierr = MatShellSetOperation(newmat,MATOP_MULT_TRANSPOSE,(void (*)(void))FETIDPMatMultTranspose);CHKERRQ(ierr);
1789   ierr = MatShellSetOperation(newmat,MATOP_DESTROY,(void (*)(void))PCBDDCDestroyFETIDPMat);CHKERRQ(ierr);
1790   ierr = MatSetUp(newmat);CHKERRQ(ierr);
1791   /* FETIDP preconditioner */
1792   ierr = PCBDDCCreateFETIDPPCContext(pc,&fetidppc_ctx);CHKERRQ(ierr);
1793   ierr = PCBDDCSetupFETIDPPCContext(newmat,fetidppc_ctx);CHKERRQ(ierr);
1794   ierr = PCCreate(comm,&newpc);CHKERRQ(ierr);
1795   ierr = PCSetType(newpc,PCSHELL);CHKERRQ(ierr);
1796   ierr = PCShellSetContext(newpc,fetidppc_ctx);CHKERRQ(ierr);
1797   ierr = PCShellSetApply(newpc,FETIDPPCApply);CHKERRQ(ierr);
1798   ierr = PCShellSetApplyTranspose(newpc,FETIDPPCApplyTranspose);CHKERRQ(ierr);
1799   ierr = PCShellSetDestroy(newpc,PCBDDCDestroyFETIDPPC);CHKERRQ(ierr);
1800   ierr = PCSetOperators(newpc,newmat,newmat);CHKERRQ(ierr);
1801   ierr = PCSetUp(newpc);CHKERRQ(ierr);
1802   /* return pointers for objects created */
1803   *fetidp_mat=newmat;
1804   *fetidp_pc=newpc;
1805   PetscFunctionReturn(0);
1806 }
1807 
1808 #undef __FUNCT__
1809 #define __FUNCT__ "PCBDDCCreateFETIDPOperators"
1810 /*@
1811  PCBDDCCreateFETIDPOperators - Create operators for FETIDP
1812 
1813    Collective
1814 
1815    Input Parameters:
1816 +  pc - the BDDC preconditioning context already setup
1817 
1818    Output Parameters:
1819 .  fetidp_mat - shell FETIDP matrix object
1820 .  fetidp_pc  - shell Dirichlet preconditioner for FETIDP matrix
1821 
1822    Options Database Keys:
1823 -    -fetidp_fullyredundant: use or not a fully redundant set of Lagrange multipliers
1824 
1825    Level: developer
1826 
1827    Notes:
1828      Currently the only operation provided for FETIDP matrix is MatMult
1829 
1830 .seealso: PCBDDC
1831 @*/
1832 PetscErrorCode PCBDDCCreateFETIDPOperators(PC pc, Mat *fetidp_mat, PC *fetidp_pc)
1833 {
1834   PetscErrorCode ierr;
1835 
1836   PetscFunctionBegin;
1837   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
1838   if (pc->setupcalled) {
1839     ierr = PetscUseMethod(pc,"PCBDDCCreateFETIDPOperators_C",(PC,Mat*,PC*),(pc,fetidp_mat,fetidp_pc));CHKERRQ(ierr);
1840   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"You must call PCSetup_BDDC() first \n");
1841   PetscFunctionReturn(0);
1842 }
1843 /* -------------------------------------------------------------------------- */
1844 /*MC
1845    PCBDDC - Balancing Domain Decomposition by Constraints.
1846 
1847    An implementation of the BDDC preconditioner based on
1848 
1849 .vb
1850    [1] C. R. Dohrmann. "An approximate BDDC preconditioner", Numerical Linear Algebra with Applications Volume 14, Issue 2, pages 149-168, March 2007
1851    [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
1852    [3] J. Mandel, B. Sousedik, C. R. Dohrmann. "Multispace and Multilevel BDDC", http://arxiv.org/abs/0712.3977
1853 .ve
1854 
1855    The matrix to be preconditioned (Pmat) must be of type MATIS.
1856 
1857    Currently works with MATIS matrices with local Neumann matrices of type MATSEQAIJ, MATSEQBAIJ or MATSEQSBAIJ, either with real or complex numbers.
1858 
1859    It also works with unsymmetric and indefinite problems.
1860 
1861    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.
1862 
1863    Approximate local solvers are automatically adapted for singular linear problems (see [1]) if the user has provided the nullspace using PCBDDCSetNullSpace
1864 
1865    Boundary nodes are split in vertices, edges and faces using information from the local to global mapping of dofs and the local connectivity graph of nodes. The latter can be customized by using PCBDDCSetLocalAdjacencyGraph()
1866 
1867    Constraints can be customized by attaching a MatNullSpace object to the MATIS matrix via MatSetNearNullSpace().
1868 
1869    Change of basis is performed similarly to [2] when requested. When more the one constraint is present on a single connected component (i.e. an edge or a face), a robust method based on local QR factorizations is used.
1870 
1871    The PETSc implementation also supports multilevel BDDC [3]. Coarse grids are partitioned using MatPartitioning object.
1872 
1873    Options Database Keys:
1874 
1875 .    -pc_bddc_use_vertices <1> - use or not vertices in primal space
1876 .    -pc_bddc_use_edges <1> - use or not edges in primal space
1877 .    -pc_bddc_use_faces <0> - use or not faces in primal space
1878 .    -pc_bddc_use_change_of_basis <0> - use change of basis approach (on edges only)
1879 .    -pc_bddc_use_change_on_faces <0> - use change of basis approach on faces if change of basis has been requested
1880 .    -pc_bddc_switch_static <0> - switches from M_2 to M_3 operator (see reference article [1])
1881 .    -pc_bddc_levels <0> - maximum number of levels for multilevel
1882 .    -pc_bddc_coarsening_ratio - H/h ratio at the coarser level
1883 -    -pc_bddc_check_level <0> - set verbosity level of debugging output
1884 
1885    Options for Dirichlet, Neumann or coarse solver can be set with
1886 .vb
1887       -pc_bddc_dirichlet_
1888       -pc_bddc_neumann_
1889       -pc_bddc_coarse_
1890 .ve
1891    e.g -pc_bddc_dirichlet_ksp_type richardson -pc_bddc_dirichlet_pc_type gamg
1892 
1893    When using a multilevel approach, solvers' options at the N-th level can be specified as
1894 .vb
1895       -pc_bddc_dirichlet_lN_
1896       -pc_bddc_neumann_lN_
1897       -pc_bddc_coarse_lN_
1898 .ve
1899    Note that level number ranges from the finest 0 to the coarsest N.
1900 
1901    Level: intermediate
1902 
1903    Developer notes:
1904 
1905    New deluxe scaling operator will be available soon.
1906 
1907    Contributed by Stefano Zampini
1908 
1909 .seealso:  PCCreate(), PCSetType(), PCType (for list of available types), PC,  MATIS
1910 M*/
1911 
1912 #undef __FUNCT__
1913 #define __FUNCT__ "PCCreate_BDDC"
1914 PETSC_EXTERN PetscErrorCode PCCreate_BDDC(PC pc)
1915 {
1916   PetscErrorCode      ierr;
1917   PC_BDDC             *pcbddc;
1918 
1919   PetscFunctionBegin;
1920   /* Creates the private data structure for this preconditioner and attach it to the PC object. */
1921   ierr      = PetscNewLog(pc,&pcbddc);CHKERRQ(ierr);
1922   pc->data  = (void*)pcbddc;
1923 
1924   /* create PCIS data structure */
1925   ierr = PCISCreate(pc);CHKERRQ(ierr);
1926 
1927   /* BDDC customization */
1928   pcbddc->use_local_adj       = PETSC_TRUE;
1929   pcbddc->use_vertices        = PETSC_TRUE;
1930   pcbddc->use_edges           = PETSC_TRUE;
1931   pcbddc->use_faces           = PETSC_FALSE;
1932   pcbddc->use_change_of_basis = PETSC_FALSE;
1933   pcbddc->use_change_on_faces = PETSC_FALSE;
1934   pcbddc->switch_static       = PETSC_FALSE;
1935   pcbddc->use_nnsp_true       = PETSC_FALSE;
1936   pcbddc->use_qr_single       = PETSC_FALSE;
1937   pcbddc->dbg_flag            = 0;
1938   /* private */
1939   pcbddc->issym                      = PETSC_FALSE;
1940   pcbddc->local_primal_size          = 0;
1941   pcbddc->n_vertices                 = 0;
1942   pcbddc->n_actual_vertices          = 0;
1943   pcbddc->n_constraints              = 0;
1944   pcbddc->primal_indices_local_idxs  = 0;
1945   pcbddc->recompute_topography       = PETSC_FALSE;
1946   pcbddc->coarse_size                = -1;
1947   pcbddc->new_primal_space           = PETSC_FALSE;
1948   pcbddc->new_primal_space_local     = PETSC_FALSE;
1949   pcbddc->global_primal_indices      = 0;
1950   pcbddc->onearnullspace             = 0;
1951   pcbddc->onearnullvecs_state        = 0;
1952   pcbddc->user_primal_vertices       = 0;
1953   pcbddc->NullSpace                  = 0;
1954   pcbddc->temp_solution              = 0;
1955   pcbddc->original_rhs               = 0;
1956   pcbddc->local_mat                  = 0;
1957   pcbddc->ChangeOfBasisMatrix        = 0;
1958   pcbddc->user_ChangeOfBasisMatrix   = 0;
1959   pcbddc->new_global_mat             = 0;
1960   pcbddc->coarse_vec                 = 0;
1961   pcbddc->coarse_ksp                 = 0;
1962   pcbddc->coarse_phi_B               = 0;
1963   pcbddc->coarse_phi_D               = 0;
1964   pcbddc->coarse_psi_B               = 0;
1965   pcbddc->coarse_psi_D               = 0;
1966   pcbddc->vec1_P                     = 0;
1967   pcbddc->vec1_R                     = 0;
1968   pcbddc->vec2_R                     = 0;
1969   pcbddc->local_auxmat1              = 0;
1970   pcbddc->local_auxmat2              = 0;
1971   pcbddc->R_to_B                     = 0;
1972   pcbddc->R_to_D                     = 0;
1973   pcbddc->ksp_D                      = 0;
1974   pcbddc->ksp_R                      = 0;
1975   pcbddc->NeumannBoundaries          = 0;
1976   pcbddc->NeumannBoundariesLocal     = 0;
1977   pcbddc->DirichletBoundaries        = 0;
1978   pcbddc->DirichletBoundariesLocal   = 0;
1979   pcbddc->user_provided_isfordofs    = PETSC_FALSE;
1980   pcbddc->n_ISForDofs                = 0;
1981   pcbddc->n_ISForDofsLocal           = 0;
1982   pcbddc->ISForDofs                  = 0;
1983   pcbddc->ISForDofsLocal             = 0;
1984   pcbddc->ConstraintMatrix           = 0;
1985   pcbddc->use_exact_dirichlet_trick  = PETSC_TRUE;
1986   pcbddc->coarse_loc_to_glob         = 0;
1987   pcbddc->coarsening_ratio           = 8;
1988   pcbddc->current_level              = 0;
1989   pcbddc->max_levels                 = 0;
1990   pcbddc->use_coarse_estimates       = PETSC_FALSE;
1991   pcbddc->redistribute_coarse        = 0;
1992   pcbddc->coarse_subassembling       = 0;
1993   pcbddc->coarse_subassembling_init  = 0;
1994 
1995   /* create local graph structure */
1996   ierr = PCBDDCGraphCreate(&pcbddc->mat_graph);CHKERRQ(ierr);
1997 
1998   /* scaling */
1999   pcbddc->work_scaling          = 0;
2000   pcbddc->use_deluxe_scaling    = PETSC_FALSE;
2001 
2002   /* create sub schurs structure */
2003   ierr = PCBDDCSubSchursCreate(&pcbddc->sub_schurs);CHKERRQ(ierr);
2004   pcbddc->sub_schurs_threshold   = -1;
2005   pcbddc->sub_schurs_rebuild     = PETSC_FALSE;
2006   pcbddc->sub_schurs_layers      = -1;
2007   pcbddc->sub_schurs_use_useradj = PETSC_FALSE;
2008 
2009   pcbddc->computed_rowadj = PETSC_FALSE;
2010 
2011   /* adaptivity */
2012   pcbddc->adaptive_threshold      = -1.0;
2013   pcbddc->adaptive_invert_Stildas = PETSC_TRUE;
2014   pcbddc->adaptive_nmax           = 0;
2015   pcbddc->adaptive_nmin           = -1;
2016 
2017   /* function pointers */
2018   pc->ops->apply               = PCApply_BDDC;
2019   pc->ops->applytranspose      = PCApplyTranspose_BDDC;
2020   pc->ops->setup               = PCSetUp_BDDC;
2021   pc->ops->destroy             = PCDestroy_BDDC;
2022   pc->ops->setfromoptions      = PCSetFromOptions_BDDC;
2023   pc->ops->view                = 0;
2024   pc->ops->applyrichardson     = 0;
2025   pc->ops->applysymmetricleft  = 0;
2026   pc->ops->applysymmetricright = 0;
2027   pc->ops->presolve            = PCPreSolve_BDDC;
2028   pc->ops->postsolve           = PCPostSolve_BDDC;
2029 
2030   /* composing function */
2031   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetChangeOfBasisMat_C",PCBDDCSetChangeOfBasisMat_BDDC);CHKERRQ(ierr);
2032   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetPrimalVerticesLocalIS_C",PCBDDCSetPrimalVerticesLocalIS_BDDC);CHKERRQ(ierr);
2033   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetCoarseningRatio_C",PCBDDCSetCoarseningRatio_BDDC);CHKERRQ(ierr);
2034   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevel_C",PCBDDCSetLevel_BDDC);CHKERRQ(ierr);
2035   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetUseExactDirichlet_C",PCBDDCSetUseExactDirichlet_BDDC);CHKERRQ(ierr);
2036   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevels_C",PCBDDCSetLevels_BDDC);CHKERRQ(ierr);
2037   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNullSpace_C",PCBDDCSetNullSpace_BDDC);CHKERRQ(ierr);
2038   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundaries_C",PCBDDCSetDirichletBoundaries_BDDC);CHKERRQ(ierr);
2039   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundariesLocal_C",PCBDDCSetDirichletBoundariesLocal_BDDC);CHKERRQ(ierr);
2040   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundaries_C",PCBDDCSetNeumannBoundaries_BDDC);CHKERRQ(ierr);
2041   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundariesLocal_C",PCBDDCSetNeumannBoundariesLocal_BDDC);CHKERRQ(ierr);
2042   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundaries_C",PCBDDCGetDirichletBoundaries_BDDC);CHKERRQ(ierr);
2043   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundariesLocal_C",PCBDDCGetDirichletBoundariesLocal_BDDC);CHKERRQ(ierr);
2044   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundaries_C",PCBDDCGetNeumannBoundaries_BDDC);CHKERRQ(ierr);
2045   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundariesLocal_C",PCBDDCGetNeumannBoundariesLocal_BDDC);CHKERRQ(ierr);
2046   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplitting_C",PCBDDCSetDofsSplitting_BDDC);CHKERRQ(ierr);
2047   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplittingLocal_C",PCBDDCSetDofsSplittingLocal_BDDC);CHKERRQ(ierr);
2048   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLocalAdjacencyGraph_C",PCBDDCSetLocalAdjacencyGraph_BDDC);CHKERRQ(ierr);
2049   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCCreateFETIDPOperators_C",PCBDDCCreateFETIDPOperators_BDDC);CHKERRQ(ierr);
2050   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetRHS_C",PCBDDCMatFETIDPGetRHS_BDDC);CHKERRQ(ierr);
2051   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetSolution_C",PCBDDCMatFETIDPGetSolution_BDDC);CHKERRQ(ierr);
2052   PetscFunctionReturn(0);
2053 }
2054 
2055