xref: /petsc/src/ksp/pc/impls/bddc/bddc.c (revision e496cd5dfac3e9278b1c8f7c7cf0cc2eb88dc331)
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   }
1030   ierr = VecDestroy(&used_vec);CHKERRQ(ierr);
1031 
1032   /* store partially computed solution and set initial guess */
1033   if (x && pcbddc->use_exact_dirichlet_trick) {
1034     ierr = VecSet(x,0.0);CHKERRQ(ierr);
1035     ierr = VecScatterBegin(pcis->global_to_D,rhs,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1036     ierr = VecScatterEnd(pcis->global_to_D,rhs,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1037     ierr = KSPSolve(pcbddc->ksp_D,pcis->vec1_D,pcis->vec2_D);CHKERRQ(ierr);
1038     ierr = VecScatterBegin(pcis->global_to_D,pcis->vec2_D,x,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1039     ierr = VecScatterEnd(pcis->global_to_D,pcis->vec2_D,x,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1040     if (ksp && !pcbddc->ksp_guess_nonzero) {
1041       ierr = KSPSetInitialGuessNonzero(ksp,PETSC_TRUE);CHKERRQ(ierr);
1042     }
1043   }
1044 
1045   if (pcbddc->ChangeOfBasisMatrix) {
1046     PCBDDCChange_ctx change_ctx;
1047 
1048     /* get change ctx */
1049     ierr = MatShellGetContext(pcbddc->new_global_mat,&change_ctx);CHKERRQ(ierr);
1050 
1051     /* set current iteration matrix inside change context (change of basis has been already set into the ctx during PCSetUp) */
1052     ierr = MatDestroy(&change_ctx->original_mat);CHKERRQ(ierr);
1053     ierr = PetscObjectReference((PetscObject)pc->mat);CHKERRQ(ierr);
1054     change_ctx->original_mat = pc->mat;
1055 
1056     /* change iteration matrix */
1057     ierr = MatDestroy(&pc->mat);CHKERRQ(ierr);
1058     ierr = PetscObjectReference((PetscObject)pcbddc->new_global_mat);CHKERRQ(ierr);
1059     pc->mat = pcbddc->new_global_mat;
1060 
1061     /* store the original rhs */
1062     if (copy_rhs) {
1063       ierr = VecCopy(rhs,pcbddc->original_rhs);CHKERRQ(ierr);
1064       copy_rhs = PETSC_FALSE;
1065     }
1066 
1067     /* change rhs */
1068     ierr = MatMultTranspose(change_ctx->global_change,rhs,pcis->vec1_global);CHKERRQ(ierr);
1069     ierr = VecCopy(pcis->vec1_global,rhs);CHKERRQ(ierr);
1070     pcbddc->rhs_change = PETSC_TRUE;
1071   }
1072 
1073   /* remove nullspace if present */
1074   if (ksp && x && pcbddc->NullSpace) {
1075     ierr = MatNullSpaceRemove(pcbddc->NullSpace,x);CHKERRQ(ierr);
1076     /* store the original rhs */
1077     if (copy_rhs) {
1078       ierr = VecCopy(rhs,pcbddc->original_rhs);CHKERRQ(ierr);
1079       copy_rhs = PETSC_FALSE;
1080     }
1081     pcbddc->rhs_change = PETSC_TRUE;
1082     ierr = MatNullSpaceRemove(pcbddc->NullSpace,rhs);CHKERRQ(ierr);
1083   }
1084   PetscFunctionReturn(0);
1085 }
1086 
1087 /* -------------------------------------------------------------------------- */
1088 #undef __FUNCT__
1089 #define __FUNCT__ "PCPostSolve_BDDC"
1090 /* -------------------------------------------------------------------------- */
1091 /*
1092    PCPostSolve_BDDC - Changes the computed solution if a transformation of basis
1093                      approach has been selected. Also, restores rhs to its original state.
1094 
1095    Input Parameter:
1096 +  pc - the preconditioner contex
1097 
1098    Application Interface Routine: PCPostSolve()
1099 
1100    Notes:
1101    The interface routine PCPostSolve() is not usually called directly by
1102    the user, but instead is called by KSPSolve().
1103 */
1104 static PetscErrorCode PCPostSolve_BDDC(PC pc, KSP ksp, Vec rhs, Vec x)
1105 {
1106   PetscErrorCode ierr;
1107   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
1108 
1109   PetscFunctionBegin;
1110   if (pcbddc->ChangeOfBasisMatrix) {
1111     PCBDDCChange_ctx change_ctx;
1112 
1113     /* get change ctx */
1114     ierr = MatShellGetContext(pcbddc->new_global_mat,&change_ctx);CHKERRQ(ierr);
1115 
1116     /* restore iteration matrix */
1117     ierr = MatDestroy(&pc->mat);CHKERRQ(ierr);
1118     ierr = PetscObjectReference((PetscObject)change_ctx->original_mat);CHKERRQ(ierr);
1119     pc->mat = change_ctx->original_mat;
1120 
1121     /* get solution in original basis */
1122     if (x) {
1123       PC_IS *pcis = (PC_IS*)(pc->data);
1124       ierr = MatMult(change_ctx->global_change,x,pcis->vec1_global);CHKERRQ(ierr);
1125       ierr = VecCopy(pcis->vec1_global,x);CHKERRQ(ierr);
1126     }
1127   }
1128 
1129   /* add solution removed in presolve */
1130   if (x && pcbddc->rhs_change) {
1131     ierr = VecAXPY(x,1.0,pcbddc->temp_solution);CHKERRQ(ierr);
1132   }
1133 
1134   /* restore rhs to its original state */
1135   if (rhs && pcbddc->rhs_change) {
1136     ierr = VecCopy(pcbddc->original_rhs,rhs);CHKERRQ(ierr);
1137   }
1138   pcbddc->rhs_change = PETSC_FALSE;
1139 
1140   /* restore ksp guess state */
1141   if (ksp) {
1142     ierr = KSPSetInitialGuessNonzero(ksp,pcbddc->ksp_guess_nonzero);CHKERRQ(ierr);
1143   }
1144   PetscFunctionReturn(0);
1145 }
1146 /* -------------------------------------------------------------------------- */
1147 #undef __FUNCT__
1148 #define __FUNCT__ "PCSetUp_BDDC"
1149 /* -------------------------------------------------------------------------- */
1150 /*
1151    PCSetUp_BDDC - Prepares for the use of the BDDC preconditioner
1152                   by setting data structures and options.
1153 
1154    Input Parameter:
1155 +  pc - the preconditioner context
1156 
1157    Application Interface Routine: PCSetUp()
1158 
1159    Notes:
1160    The interface routine PCSetUp() is not usually called directly by
1161    the user, but instead is called by PCApply() if necessary.
1162 */
1163 PetscErrorCode PCSetUp_BDDC(PC pc)
1164 {
1165   PetscErrorCode ierr;
1166   PC_BDDC*       pcbddc = (PC_BDDC*)pc->data;
1167   Mat_IS*        matis;
1168   MatNullSpace   nearnullspace;
1169   PetscBool      computetopography,computesolvers,computesubschurs;
1170   PetscBool      computeconstraintsmatrix;
1171   PetscBool      new_nearnullspace_provided,ismatis;
1172 
1173   PetscFunctionBegin;
1174   ierr = PetscObjectTypeCompare((PetscObject)pc->pmat,MATIS,&ismatis);CHKERRQ(ierr);
1175   if (!ismatis) {
1176     SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_ARG_WRONG,"PCBDDC preconditioner requires matrix of type MATIS");
1177   }
1178   matis = (Mat_IS*)pc->pmat->data;
1179   /* the following lines of code should be replaced by a better logic between PCIS, PCNN, PCBDDC and other future nonoverlapping preconditioners */
1180   /* For BDDC we need to define a local "Neumann" problem different to that defined in PCISSetup
1181      Also, BDDC directly build the Dirichlet problem */
1182   /* split work */
1183   if (pc->setupcalled) {
1184     if (pc->flag == SAME_NONZERO_PATTERN) {
1185       computetopography = PETSC_FALSE;
1186       computesolvers = PETSC_TRUE;
1187     } else { /* DIFFERENT_NONZERO_PATTERN */
1188       computetopography = PETSC_TRUE;
1189       computesolvers = PETSC_TRUE;
1190     }
1191   } else {
1192     computetopography = PETSC_TRUE;
1193     computesolvers = PETSC_TRUE;
1194   }
1195   if (pcbddc->recompute_topography) {
1196     computetopography = PETSC_TRUE;
1197   }
1198   computeconstraintsmatrix = PETSC_FALSE;
1199   pcbddc->adaptive_selection = (PetscBool)(pcbddc->adaptive_threshold > 0.0);
1200   computesubschurs = (PetscBool)(pcbddc->use_deluxe_scaling || pcbddc->adaptive_selection);
1201 
1202   /* Get stdout for dbg */
1203   if (pcbddc->dbg_flag) {
1204     if (!pcbddc->dbg_viewer) {
1205       pcbddc->dbg_viewer = PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)pc));
1206       ierr = PetscViewerASCIISynchronizedAllow(pcbddc->dbg_viewer,PETSC_TRUE);CHKERRQ(ierr);
1207     }
1208     ierr = PetscViewerASCIIAddTab(pcbddc->dbg_viewer,2*pcbddc->current_level);CHKERRQ(ierr);
1209   }
1210 
1211   /*ierr = MatIsSymmetric(pc->pmat,0.,&pcbddc->issym);CHKERRQ(ierr);*/
1212   { /* this is a temporary workaround since seqbaij matrices does not have support for symmetry checking */
1213     PetscBool setsym;
1214     ierr = MatIsSymmetricKnown(pc->pmat,&setsym,&pcbddc->issym);CHKERRQ(ierr);
1215     if (!setsym) pcbddc->issym = PETSC_FALSE;
1216   }
1217 
1218   if (pcbddc->user_ChangeOfBasisMatrix) {
1219     /* use_change_of_basis flag is used to automatically compute a change of basis from constraints */
1220     pcbddc->use_change_of_basis = PETSC_FALSE;
1221     ierr = PCBDDCComputeLocalMatrix(pc,pcbddc->user_ChangeOfBasisMatrix);CHKERRQ(ierr);
1222   } else {
1223     ierr = MatDestroy(&pcbddc->local_mat);CHKERRQ(ierr);
1224     ierr = PetscObjectReference((PetscObject)matis->A);CHKERRQ(ierr);
1225     pcbddc->local_mat = matis->A;
1226   }
1227 
1228   /* workaround for reals */
1229 #if !defined(PETSC_USE_COMPLEX)
1230   ierr = MatSetOption(pcbddc->local_mat,MAT_HERMITIAN,pcbddc->issym);CHKERRQ(ierr);
1231 #endif
1232 
1233   /* Set up all the "iterative substructuring" common block without computing solvers */
1234   {
1235     Mat temp_mat;
1236 
1237     temp_mat = matis->A;
1238     matis->A = pcbddc->local_mat;
1239     ierr = PCISSetUp(pc,PETSC_FALSE);CHKERRQ(ierr);
1240     pcbddc->local_mat = matis->A;
1241     matis->A = temp_mat;
1242   }
1243 
1244   /* Analyze interface and setup sub_schurs data */
1245   if (computetopography) {
1246     ierr = PCBDDCAnalyzeInterface(pc);CHKERRQ(ierr);
1247     computeconstraintsmatrix = PETSC_TRUE;
1248   }
1249 
1250   /* Setup local dirichlet solver ksp_D and sub_schurs solvers */
1251   if (computesolvers) {
1252     ierr = PCBDDCSetUpLocalSolvers(pc,PETSC_TRUE,PETSC_FALSE);CHKERRQ(ierr);
1253     if (computesubschurs) {
1254       if (computetopography) {
1255         ierr = PCBDDCInitSubSchurs(pc);CHKERRQ(ierr);
1256       }
1257       ierr = PCBDDCSetUpSubSchurs(pc);CHKERRQ(ierr);
1258       if (pcbddc->adaptive_selection) {
1259         ierr = PCBDDCAdaptiveSelection(pc);CHKERRQ(ierr);
1260         computeconstraintsmatrix = PETSC_TRUE;
1261       }
1262     }
1263   }
1264 
1265   /* infer if NullSpace object attached to Mat via MatSetNearNullSpace has changed */
1266   new_nearnullspace_provided = PETSC_FALSE;
1267   ierr = MatGetNearNullSpace(pc->pmat,&nearnullspace);CHKERRQ(ierr);
1268   if (pcbddc->onearnullspace) { /* already used nearnullspace */
1269     if (!nearnullspace) { /* near null space attached to mat has been destroyed */
1270       new_nearnullspace_provided = PETSC_TRUE;
1271     } else {
1272       /* determine if the two nullspaces are different (should be lightweight) */
1273       if (nearnullspace != pcbddc->onearnullspace) {
1274         new_nearnullspace_provided = PETSC_TRUE;
1275       } else { /* maybe the user has changed the content of the nearnullspace so check vectors ObjectStateId */
1276         PetscInt         i;
1277         const Vec        *nearnullvecs;
1278         PetscObjectState state;
1279         PetscInt         nnsp_size;
1280         ierr = MatNullSpaceGetVecs(nearnullspace,NULL,&nnsp_size,&nearnullvecs);CHKERRQ(ierr);
1281         for (i=0;i<nnsp_size;i++) {
1282           ierr = PetscObjectStateGet((PetscObject)nearnullvecs[i],&state);CHKERRQ(ierr);
1283           if (pcbddc->onearnullvecs_state[i] != state) {
1284             new_nearnullspace_provided = PETSC_TRUE;
1285             break;
1286           }
1287         }
1288       }
1289     }
1290   } else {
1291     if (!nearnullspace) { /* both nearnullspaces are null */
1292       new_nearnullspace_provided = PETSC_FALSE;
1293     } else { /* nearnullspace attached later */
1294       new_nearnullspace_provided = PETSC_TRUE;
1295     }
1296   }
1297 
1298   /* Setup constraints and related work vectors */
1299   /* reset primal space flags */
1300   pcbddc->new_primal_space = PETSC_FALSE;
1301   pcbddc->new_primal_space_local = PETSC_FALSE;
1302   if (computeconstraintsmatrix || new_nearnullspace_provided) {
1303     /* It also sets the primal space flags */
1304     ierr = PCBDDCConstraintsSetUp(pc);CHKERRQ(ierr);
1305     /* Allocate needed local vectors (which depends on quantities defined during ConstraintsSetUp) */
1306     ierr = PCBDDCSetUpLocalWorkVectors(pc);CHKERRQ(ierr);
1307   }
1308 
1309   if (computesolvers || pcbddc->new_primal_space) {
1310     if (pcbddc->use_change_of_basis) {
1311       PC_IS *pcis = (PC_IS*)(pc->data);
1312 
1313       ierr = PCBDDCComputeLocalMatrix(pc,pcbddc->ChangeOfBasisMatrix);CHKERRQ(ierr);
1314       /* get submatrices */
1315       ierr = MatDestroy(&pcis->A_IB);CHKERRQ(ierr);
1316       ierr = MatDestroy(&pcis->A_BI);CHKERRQ(ierr);
1317       ierr = MatDestroy(&pcis->A_BB);CHKERRQ(ierr);
1318       ierr = MatGetSubMatrix(pcbddc->local_mat,pcis->is_B_local,pcis->is_B_local,MAT_INITIAL_MATRIX,&pcis->A_BB);CHKERRQ(ierr);
1319       ierr = MatGetSubMatrix(pcbddc->local_mat,pcis->is_I_local,pcis->is_B_local,MAT_INITIAL_MATRIX,&pcis->A_IB);CHKERRQ(ierr);
1320       ierr = MatGetSubMatrix(pcbddc->local_mat,pcis->is_B_local,pcis->is_I_local,MAT_INITIAL_MATRIX,&pcis->A_BI);CHKERRQ(ierr);
1321       /* set flag in pcis to not reuse submatrices during PCISCreate */
1322       pcis->reusesubmatrices = PETSC_FALSE;
1323     } else if (!pcbddc->user_ChangeOfBasisMatrix) {
1324       ierr = MatDestroy(&pcbddc->local_mat);CHKERRQ(ierr);
1325       ierr = PetscObjectReference((PetscObject)matis->A);CHKERRQ(ierr);
1326       pcbddc->local_mat = matis->A;
1327     }
1328     /* SetUp coarse and local Neumann solvers */
1329     ierr = PCBDDCSetUpSolvers(pc);CHKERRQ(ierr);
1330     /* SetUp Scaling operator */
1331     ierr = PCBDDCScalingSetUp(pc);CHKERRQ(ierr);
1332   }
1333 
1334   if (pcbddc->dbg_flag) {
1335     ierr = PetscViewerASCIISubtractTab(pcbddc->dbg_viewer,2*pcbddc->current_level);CHKERRQ(ierr);
1336   }
1337   PetscFunctionReturn(0);
1338 }
1339 
1340 /* -------------------------------------------------------------------------- */
1341 /*
1342    PCApply_BDDC - Applies the BDDC operator to a vector.
1343 
1344    Input Parameters:
1345 .  pc - the preconditioner context
1346 .  r - input vector (global)
1347 
1348    Output Parameter:
1349 .  z - output vector (global)
1350 
1351    Application Interface Routine: PCApply()
1352  */
1353 #undef __FUNCT__
1354 #define __FUNCT__ "PCApply_BDDC"
1355 PetscErrorCode PCApply_BDDC(PC pc,Vec r,Vec z)
1356 {
1357   PC_IS             *pcis = (PC_IS*)(pc->data);
1358   PC_BDDC           *pcbddc = (PC_BDDC*)(pc->data);
1359   PetscInt          n_B = pcis->n_B, n_D = pcis->n - n_B;
1360   PetscErrorCode    ierr;
1361   const PetscScalar one = 1.0;
1362   const PetscScalar m_one = -1.0;
1363   const PetscScalar zero = 0.0;
1364 
1365 /* This code is similar to that provided in nn.c for PCNN
1366    NN interface preconditioner changed to BDDC
1367    Added support for M_3 preconditioner in the reference article (code is active if pcbddc->switch_static == PETSC_TRUE) */
1368 
1369   PetscFunctionBegin;
1370   if (!pcbddc->use_exact_dirichlet_trick) {
1371     ierr = VecCopy(r,z);CHKERRQ(ierr);
1372     /* First Dirichlet solve */
1373     ierr = VecScatterBegin(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1374     ierr = VecScatterEnd(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1375     /*
1376       Assembling right hand side for BDDC operator
1377       - pcis->vec1_D for the Dirichlet part (if needed, i.e. pcbddc->switch_static == PETSC_TRUE)
1378       - pcis->vec1_B the interface part of the global vector z
1379     */
1380     if (n_D) {
1381       ierr = KSPSolve(pcbddc->ksp_D,pcis->vec1_D,pcis->vec2_D);CHKERRQ(ierr);
1382       ierr = VecScale(pcis->vec2_D,m_one);CHKERRQ(ierr);
1383       if (pcbddc->switch_static) { ierr = MatMultAdd(pcis->A_II,pcis->vec2_D,pcis->vec1_D,pcis->vec1_D);CHKERRQ(ierr); }
1384       ierr = MatMult(pcis->A_BI,pcis->vec2_D,pcis->vec1_B);CHKERRQ(ierr);
1385     } else {
1386       ierr = VecSet(pcis->vec1_B,zero);CHKERRQ(ierr);
1387     }
1388     ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1389     ierr = VecScatterEnd(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1390     ierr = PCBDDCScalingRestriction(pc,z,pcis->vec1_B);CHKERRQ(ierr);
1391   } else {
1392     if (pcbddc->switch_static) {
1393       ierr = VecSet(pcis->vec1_D,zero);CHKERRQ(ierr);
1394     }
1395     ierr = PCBDDCScalingRestriction(pc,r,pcis->vec1_B);CHKERRQ(ierr);
1396   }
1397 
1398   /* Apply interface preconditioner
1399      input/output vecs: pcis->vec1_B and pcis->vec1_D */
1400   ierr = PCBDDCApplyInterfacePreconditioner(pc,PETSC_FALSE);CHKERRQ(ierr);
1401 
1402   /* Apply transpose of partition of unity operator */
1403   ierr = PCBDDCScalingExtension(pc,pcis->vec1_B,z);CHKERRQ(ierr);
1404 
1405   /* Second Dirichlet solve and assembling of output */
1406   ierr = VecScatterBegin(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1407   ierr = VecScatterEnd(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1408   if (n_B) {
1409     ierr = MatMult(pcis->A_IB,pcis->vec1_B,pcis->vec3_D);CHKERRQ(ierr);
1410     if (pcbddc->switch_static) { ierr = MatMultAdd(pcis->A_II,pcis->vec1_D,pcis->vec3_D,pcis->vec3_D);CHKERRQ(ierr); }
1411   } else if (pcbddc->switch_static) {
1412     ierr = MatMult(pcis->A_II,pcis->vec1_D,pcis->vec3_D);CHKERRQ(ierr);
1413   }
1414   ierr = KSPSolve(pcbddc->ksp_D,pcis->vec3_D,pcis->vec4_D);CHKERRQ(ierr);
1415   if (!pcbddc->use_exact_dirichlet_trick) {
1416     if (pcbddc->switch_static) {
1417       ierr = VecAXPBYPCZ(pcis->vec2_D,m_one,one,m_one,pcis->vec4_D,pcis->vec1_D);CHKERRQ(ierr);
1418     } else {
1419       ierr = VecAXPBY(pcis->vec2_D,m_one,m_one,pcis->vec4_D);CHKERRQ(ierr);
1420     }
1421     ierr = VecScatterBegin(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1422     ierr = VecScatterEnd(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1423   } else {
1424     if (pcbddc->switch_static) {
1425       ierr = VecAXPBY(pcis->vec4_D,one,m_one,pcis->vec1_D);CHKERRQ(ierr);
1426     } else {
1427       ierr = VecScale(pcis->vec4_D,m_one);CHKERRQ(ierr);
1428     }
1429     ierr = VecScatterBegin(pcis->global_to_D,pcis->vec4_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1430     ierr = VecScatterEnd(pcis->global_to_D,pcis->vec4_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1431   }
1432   PetscFunctionReturn(0);
1433 }
1434 
1435 /* -------------------------------------------------------------------------- */
1436 /*
1437    PCApplyTranspose_BDDC - Applies the transpose of the BDDC operator to a vector.
1438 
1439    Input Parameters:
1440 .  pc - the preconditioner context
1441 .  r - input vector (global)
1442 
1443    Output Parameter:
1444 .  z - output vector (global)
1445 
1446    Application Interface Routine: PCApplyTranspose()
1447  */
1448 #undef __FUNCT__
1449 #define __FUNCT__ "PCApplyTranspose_BDDC"
1450 PetscErrorCode PCApplyTranspose_BDDC(PC pc,Vec r,Vec z)
1451 {
1452   PC_IS             *pcis = (PC_IS*)(pc->data);
1453   PC_BDDC           *pcbddc = (PC_BDDC*)(pc->data);
1454   PetscInt          n_B = pcis->n_B, n_D = pcis->n - n_B;
1455   PetscErrorCode    ierr;
1456   const PetscScalar one = 1.0;
1457   const PetscScalar m_one = -1.0;
1458   const PetscScalar zero = 0.0;
1459 
1460   PetscFunctionBegin;
1461   if (!pcbddc->use_exact_dirichlet_trick) {
1462     ierr = VecCopy(r,z);CHKERRQ(ierr);
1463     /* First Dirichlet solve */
1464     ierr = VecScatterBegin(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1465     ierr = VecScatterEnd(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1466     /*
1467       Assembling right hand side for BDDC operator
1468       - pcis->vec1_D for the Dirichlet part (if needed, i.e. pcbddc->switch_static == PETSC_TRUE)
1469       - pcis->vec1_B the interface part of the global vector z
1470     */
1471     if (n_D) {
1472       ierr = KSPSolveTranspose(pcbddc->ksp_D,pcis->vec1_D,pcis->vec2_D);CHKERRQ(ierr);
1473       ierr = VecScale(pcis->vec2_D,m_one);CHKERRQ(ierr);
1474       if (pcbddc->switch_static) { ierr = MatMultTransposeAdd(pcis->A_II,pcis->vec2_D,pcis->vec1_D,pcis->vec1_D);CHKERRQ(ierr); }
1475       ierr = MatMultTranspose(pcis->A_IB,pcis->vec2_D,pcis->vec1_B);CHKERRQ(ierr);
1476     } else {
1477       ierr = VecSet(pcis->vec1_B,zero);CHKERRQ(ierr);
1478     }
1479     ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1480     ierr = VecScatterEnd(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1481     ierr = PCBDDCScalingRestriction(pc,z,pcis->vec1_B);CHKERRQ(ierr);
1482   } else {
1483     if (pcbddc->switch_static) {
1484       ierr = VecSet(pcis->vec1_D,zero);CHKERRQ(ierr);
1485     }
1486     ierr = PCBDDCScalingRestriction(pc,r,pcis->vec1_B);CHKERRQ(ierr);
1487   }
1488 
1489   /* Apply interface preconditioner
1490      input/output vecs: pcis->vec1_B and pcis->vec1_D */
1491   ierr = PCBDDCApplyInterfacePreconditioner(pc,PETSC_TRUE);CHKERRQ(ierr);
1492 
1493   /* Apply transpose of partition of unity operator */
1494   ierr = PCBDDCScalingExtension(pc,pcis->vec1_B,z);CHKERRQ(ierr);
1495 
1496   /* Second Dirichlet solve and assembling of output */
1497   ierr = VecScatterBegin(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1498   ierr = VecScatterEnd(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1499   if (n_B) {
1500     ierr = MatMultTranspose(pcis->A_BI,pcis->vec1_B,pcis->vec3_D);CHKERRQ(ierr);
1501     if (pcbddc->switch_static) { ierr = MatMultTransposeAdd(pcis->A_II,pcis->vec1_D,pcis->vec3_D,pcis->vec3_D);CHKERRQ(ierr); }
1502   } else if (pcbddc->switch_static) {
1503     ierr = MatMultTranspose(pcis->A_II,pcis->vec1_D,pcis->vec3_D);CHKERRQ(ierr);
1504   }
1505   ierr = KSPSolveTranspose(pcbddc->ksp_D,pcis->vec3_D,pcis->vec4_D);CHKERRQ(ierr);
1506   if (!pcbddc->use_exact_dirichlet_trick) {
1507     if (pcbddc->switch_static) {
1508       ierr = VecAXPBYPCZ(pcis->vec2_D,m_one,one,m_one,pcis->vec4_D,pcis->vec1_D);CHKERRQ(ierr);
1509     } else {
1510       ierr = VecAXPBY(pcis->vec2_D,m_one,m_one,pcis->vec4_D);CHKERRQ(ierr);
1511     }
1512     ierr = VecScatterBegin(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1513     ierr = VecScatterEnd(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1514   } else {
1515     if (pcbddc->switch_static) {
1516       ierr = VecAXPBY(pcis->vec4_D,one,m_one,pcis->vec1_D);CHKERRQ(ierr);
1517     } else {
1518       ierr = VecScale(pcis->vec4_D,m_one);CHKERRQ(ierr);
1519     }
1520     ierr = VecScatterBegin(pcis->global_to_D,pcis->vec4_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1521     ierr = VecScatterEnd(pcis->global_to_D,pcis->vec4_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1522   }
1523   PetscFunctionReturn(0);
1524 }
1525 /* -------------------------------------------------------------------------- */
1526 
1527 #undef __FUNCT__
1528 #define __FUNCT__ "PCDestroy_BDDC"
1529 PetscErrorCode PCDestroy_BDDC(PC pc)
1530 {
1531   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
1532   PetscErrorCode ierr;
1533 
1534   PetscFunctionBegin;
1535   /* free data created by PCIS */
1536   ierr = PCISDestroy(pc);CHKERRQ(ierr);
1537   /* free BDDC custom data  */
1538   ierr = PCBDDCResetCustomization(pc);CHKERRQ(ierr);
1539   /* destroy objects related to topography */
1540   ierr = PCBDDCResetTopography(pc);CHKERRQ(ierr);
1541   /* free allocated graph structure */
1542   ierr = PetscFree(pcbddc->mat_graph);CHKERRQ(ierr);
1543   /* free allocated sub schurs structure */
1544   ierr = PetscFree(pcbddc->sub_schurs);CHKERRQ(ierr);
1545   /* destroy objects for scaling operator */
1546   ierr = PCBDDCScalingDestroy(pc);CHKERRQ(ierr);
1547   ierr = PetscFree(pcbddc->deluxe_ctx);CHKERRQ(ierr);
1548   /* free solvers stuff */
1549   ierr = PCBDDCResetSolvers(pc);CHKERRQ(ierr);
1550   /* free global vectors needed in presolve */
1551   ierr = VecDestroy(&pcbddc->temp_solution);CHKERRQ(ierr);
1552   ierr = VecDestroy(&pcbddc->original_rhs);CHKERRQ(ierr);
1553   /* free stuff for change of basis hooks */
1554   if (pcbddc->new_global_mat) {
1555     PCBDDCChange_ctx change_ctx;
1556     ierr = MatShellGetContext(pcbddc->new_global_mat,&change_ctx);CHKERRQ(ierr);
1557     ierr = MatDestroy(&change_ctx->original_mat);CHKERRQ(ierr);
1558     ierr = MatDestroy(&change_ctx->global_change);CHKERRQ(ierr);
1559     ierr = VecDestroyVecs(2,&change_ctx->work);CHKERRQ(ierr);
1560     ierr = PetscFree(change_ctx);CHKERRQ(ierr);
1561   }
1562   ierr = MatDestroy(&pcbddc->new_global_mat);CHKERRQ(ierr);
1563   /* remove functions */
1564   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetChangeOfBasisMat_C",NULL);CHKERRQ(ierr);
1565   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetPrimalVerticesLocalIS_C",NULL);CHKERRQ(ierr);
1566   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetCoarseningRatio_C",NULL);CHKERRQ(ierr);
1567   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevel_C",NULL);CHKERRQ(ierr);
1568   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetUseExactDirichlet_C",NULL);CHKERRQ(ierr);
1569   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevels_C",NULL);CHKERRQ(ierr);
1570   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNullSpace_C",NULL);CHKERRQ(ierr);
1571   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundaries_C",NULL);CHKERRQ(ierr);
1572   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundariesLocal_C",NULL);CHKERRQ(ierr);
1573   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundaries_C",NULL);CHKERRQ(ierr);
1574   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundariesLocal_C",NULL);CHKERRQ(ierr);
1575   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundaries_C",NULL);CHKERRQ(ierr);
1576   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundariesLocal_C",NULL);CHKERRQ(ierr);
1577   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundaries_C",NULL);CHKERRQ(ierr);
1578   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundariesLocal_C",NULL);CHKERRQ(ierr);
1579   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplitting_C",NULL);CHKERRQ(ierr);
1580   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplittingLocal_C",NULL);CHKERRQ(ierr);
1581   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLocalAdjacencyGraph_C",NULL);CHKERRQ(ierr);
1582   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCCreateFETIDPOperators_C",NULL);CHKERRQ(ierr);
1583   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetRHS_C",NULL);CHKERRQ(ierr);
1584   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetSolution_C",NULL);CHKERRQ(ierr);
1585   /* Free the private data structure */
1586   ierr = PetscFree(pc->data);CHKERRQ(ierr);
1587   PetscFunctionReturn(0);
1588 }
1589 /* -------------------------------------------------------------------------- */
1590 
1591 #undef __FUNCT__
1592 #define __FUNCT__ "PCBDDCMatFETIDPGetRHS_BDDC"
1593 static PetscErrorCode PCBDDCMatFETIDPGetRHS_BDDC(Mat fetidp_mat, Vec standard_rhs, Vec fetidp_flux_rhs)
1594 {
1595   FETIDPMat_ctx  mat_ctx;
1596   Vec            copy_standard_rhs;
1597   PC_IS*         pcis;
1598   PC_BDDC*       pcbddc;
1599   PetscErrorCode ierr;
1600 
1601   PetscFunctionBegin;
1602   ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr);
1603   pcis = (PC_IS*)mat_ctx->pc->data;
1604   pcbddc = (PC_BDDC*)mat_ctx->pc->data;
1605 
1606   /*
1607      change of basis for physical rhs if needed
1608      It also changes the rhs in case of dirichlet boundaries
1609      TODO: better management when FETIDP will have its own class
1610   */
1611   ierr = VecDuplicate(standard_rhs,&copy_standard_rhs);CHKERRQ(ierr);
1612   ierr = VecCopy(standard_rhs,copy_standard_rhs);CHKERRQ(ierr);
1613   ierr = PCPreSolve_BDDC(mat_ctx->pc,NULL,copy_standard_rhs,NULL);CHKERRQ(ierr);
1614   /* store vectors for computation of fetidp final solution */
1615   ierr = VecScatterBegin(pcis->global_to_D,copy_standard_rhs,mat_ctx->temp_solution_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1616   ierr = VecScatterEnd(pcis->global_to_D,copy_standard_rhs,mat_ctx->temp_solution_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1617   /* scale rhs since it should be unassembled */
1618   /* TODO use counter scaling? (also below) */
1619   ierr = VecScatterBegin(pcis->global_to_B,copy_standard_rhs,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1620   ierr = VecScatterEnd(pcis->global_to_B,copy_standard_rhs,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1621   /* Apply partition of unity */
1622   ierr = VecPointwiseMult(mat_ctx->temp_solution_B,pcis->D,mat_ctx->temp_solution_B);CHKERRQ(ierr);
1623   /* ierr = PCBDDCScalingRestriction(mat_ctx->pc,copy_standard_rhs,mat_ctx->temp_solution_B);CHKERRQ(ierr); */
1624   if (!pcbddc->switch_static) {
1625     /* compute partially subassembled Schur complement right-hand side */
1626     ierr = KSPSolve(pcbddc->ksp_D,mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr);
1627     ierr = MatMult(pcis->A_BI,pcis->vec1_D,pcis->vec1_B);CHKERRQ(ierr);
1628     ierr = VecAXPY(mat_ctx->temp_solution_B,-1.0,pcis->vec1_B);CHKERRQ(ierr);
1629     ierr = VecSet(copy_standard_rhs,0.0);CHKERRQ(ierr);
1630     ierr = VecScatterBegin(pcis->global_to_B,mat_ctx->temp_solution_B,copy_standard_rhs,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1631     ierr = VecScatterEnd(pcis->global_to_B,mat_ctx->temp_solution_B,copy_standard_rhs,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1632     /* ierr = PCBDDCScalingRestriction(mat_ctx->pc,copy_standard_rhs,mat_ctx->temp_solution_B);CHKERRQ(ierr); */
1633     ierr = VecScatterBegin(pcis->global_to_B,copy_standard_rhs,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1634     ierr = VecScatterEnd(pcis->global_to_B,copy_standard_rhs,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1635     ierr = VecPointwiseMult(mat_ctx->temp_solution_B,pcis->D,mat_ctx->temp_solution_B);CHKERRQ(ierr);
1636   }
1637   ierr = VecDestroy(&copy_standard_rhs);CHKERRQ(ierr);
1638   /* BDDC rhs */
1639   ierr = VecCopy(mat_ctx->temp_solution_B,pcis->vec1_B);CHKERRQ(ierr);
1640   if (pcbddc->switch_static) {
1641     ierr = VecCopy(mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr);
1642   }
1643   /* apply BDDC */
1644   ierr = PCBDDCApplyInterfacePreconditioner(mat_ctx->pc,PETSC_FALSE);CHKERRQ(ierr);
1645   /* Application of B_delta and assembling of rhs for fetidp fluxes */
1646   ierr = VecSet(fetidp_flux_rhs,0.0);CHKERRQ(ierr);
1647   ierr = MatMult(mat_ctx->B_delta,pcis->vec1_B,mat_ctx->lambda_local);CHKERRQ(ierr);
1648   ierr = VecScatterBegin(mat_ctx->l2g_lambda,mat_ctx->lambda_local,fetidp_flux_rhs,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1649   ierr = VecScatterEnd(mat_ctx->l2g_lambda,mat_ctx->lambda_local,fetidp_flux_rhs,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1650   PetscFunctionReturn(0);
1651 }
1652 
1653 #undef __FUNCT__
1654 #define __FUNCT__ "PCBDDCMatFETIDPGetRHS"
1655 /*@
1656  PCBDDCMatFETIDPGetRHS - Compute the right-hand side for FETIDP linear system
1657 
1658    Collective
1659 
1660    Input Parameters:
1661 +  fetidp_mat   - the FETIDP matrix object obtained by calling PCBDDCCreateFETIDPOperators
1662 .  standard_rhs - the right-hand side for your linear system
1663 
1664    Output Parameters:
1665 -  fetidp_flux_rhs   - the right-hand side for the FETIDP linear system
1666 
1667    Level: developer
1668 
1669    Notes:
1670 
1671 .seealso: PCBDDC,PCBDDCCreateFETIDPOperators
1672 @*/
1673 PetscErrorCode PCBDDCMatFETIDPGetRHS(Mat fetidp_mat, Vec standard_rhs, Vec fetidp_flux_rhs)
1674 {
1675   FETIDPMat_ctx  mat_ctx;
1676   PetscErrorCode ierr;
1677 
1678   PetscFunctionBegin;
1679   ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr);
1680   ierr = PetscTryMethod(mat_ctx->pc,"PCBDDCMatFETIDPGetRHS_C",(Mat,Vec,Vec),(fetidp_mat,standard_rhs,fetidp_flux_rhs));CHKERRQ(ierr);
1681   PetscFunctionReturn(0);
1682 }
1683 /* -------------------------------------------------------------------------- */
1684 
1685 #undef __FUNCT__
1686 #define __FUNCT__ "PCBDDCMatFETIDPGetSolution_BDDC"
1687 static PetscErrorCode PCBDDCMatFETIDPGetSolution_BDDC(Mat fetidp_mat, Vec fetidp_flux_sol, Vec standard_sol)
1688 {
1689   FETIDPMat_ctx  mat_ctx;
1690   PC_IS*         pcis;
1691   PC_BDDC*       pcbddc;
1692   PetscErrorCode ierr;
1693 
1694   PetscFunctionBegin;
1695   ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr);
1696   pcis = (PC_IS*)mat_ctx->pc->data;
1697   pcbddc = (PC_BDDC*)mat_ctx->pc->data;
1698 
1699   /* apply B_delta^T */
1700   ierr = VecScatterBegin(mat_ctx->l2g_lambda,fetidp_flux_sol,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1701   ierr = VecScatterEnd  (mat_ctx->l2g_lambda,fetidp_flux_sol,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1702   ierr = MatMultTranspose(mat_ctx->B_delta,mat_ctx->lambda_local,pcis->vec1_B);CHKERRQ(ierr);
1703   /* compute rhs for BDDC application */
1704   ierr = VecAYPX(pcis->vec1_B,-1.0,mat_ctx->temp_solution_B);CHKERRQ(ierr);
1705   if (pcbddc->switch_static) {
1706     ierr = VecCopy(mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr);
1707   }
1708   /* apply BDDC */
1709   ierr = PCBDDCApplyInterfacePreconditioner(mat_ctx->pc,PETSC_FALSE);CHKERRQ(ierr);
1710   /* put values into standard global vector */
1711   ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_B,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1712   ierr = VecScatterEnd  (pcis->global_to_B,pcis->vec1_B,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1713   if (!pcbddc->switch_static) {
1714     /* compute values into the interior if solved for the partially subassembled Schur complement */
1715     ierr = MatMult(pcis->A_IB,pcis->vec1_B,pcis->vec1_D);CHKERRQ(ierr);
1716     ierr = VecAXPY(mat_ctx->temp_solution_D,-1.0,pcis->vec1_D);CHKERRQ(ierr);
1717     ierr = KSPSolve(pcbddc->ksp_D,mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr);
1718   }
1719   ierr = VecScatterBegin(pcis->global_to_D,pcis->vec1_D,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1720   ierr = VecScatterEnd  (pcis->global_to_D,pcis->vec1_D,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1721   /* final change of basis if needed
1722      Is also sums the dirichlet part removed during RHS assembling */
1723   ierr = PCPostSolve_BDDC(mat_ctx->pc,NULL,NULL,standard_sol);CHKERRQ(ierr);
1724   PetscFunctionReturn(0);
1725 }
1726 
1727 #undef __FUNCT__
1728 #define __FUNCT__ "PCBDDCMatFETIDPGetSolution"
1729 /*@
1730  PCBDDCMatFETIDPGetSolution - Compute the physical solution from the solution of the FETIDP linear system
1731 
1732    Collective
1733 
1734    Input Parameters:
1735 +  fetidp_mat        - the FETIDP matrix obtained by calling PCBDDCCreateFETIDPOperators
1736 .  fetidp_flux_sol - the solution of the FETIDP linear system
1737 
1738    Output Parameters:
1739 -  standard_sol      - the solution defined on the physical domain
1740 
1741    Level: developer
1742 
1743    Notes:
1744 
1745 .seealso: PCBDDC,PCBDDCCreateFETIDPOperators
1746 @*/
1747 PetscErrorCode PCBDDCMatFETIDPGetSolution(Mat fetidp_mat, Vec fetidp_flux_sol, Vec standard_sol)
1748 {
1749   FETIDPMat_ctx  mat_ctx;
1750   PetscErrorCode ierr;
1751 
1752   PetscFunctionBegin;
1753   ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr);
1754   ierr = PetscTryMethod(mat_ctx->pc,"PCBDDCMatFETIDPGetSolution_C",(Mat,Vec,Vec),(fetidp_mat,fetidp_flux_sol,standard_sol));CHKERRQ(ierr);
1755   PetscFunctionReturn(0);
1756 }
1757 /* -------------------------------------------------------------------------- */
1758 
1759 extern PetscErrorCode FETIDPMatMult(Mat,Vec,Vec);
1760 extern PetscErrorCode FETIDPMatMultTranspose(Mat,Vec,Vec);
1761 extern PetscErrorCode PCBDDCDestroyFETIDPMat(Mat);
1762 extern PetscErrorCode FETIDPPCApply(PC,Vec,Vec);
1763 extern PetscErrorCode FETIDPPCApplyTranspose(PC,Vec,Vec);
1764 extern PetscErrorCode PCBDDCDestroyFETIDPPC(PC);
1765 
1766 #undef __FUNCT__
1767 #define __FUNCT__ "PCBDDCCreateFETIDPOperators_BDDC"
1768 static PetscErrorCode PCBDDCCreateFETIDPOperators_BDDC(PC pc, Mat *fetidp_mat, PC *fetidp_pc)
1769 {
1770 
1771   FETIDPMat_ctx  fetidpmat_ctx;
1772   Mat            newmat;
1773   FETIDPPC_ctx   fetidppc_ctx;
1774   PC             newpc;
1775   MPI_Comm       comm;
1776   PetscErrorCode ierr;
1777 
1778   PetscFunctionBegin;
1779   ierr = PetscObjectGetComm((PetscObject)pc,&comm);CHKERRQ(ierr);
1780   /* FETIDP linear matrix */
1781   ierr = PCBDDCCreateFETIDPMatContext(pc,&fetidpmat_ctx);CHKERRQ(ierr);
1782   ierr = PCBDDCSetupFETIDPMatContext(fetidpmat_ctx);CHKERRQ(ierr);
1783   ierr = MatCreateShell(comm,PETSC_DECIDE,PETSC_DECIDE,fetidpmat_ctx->n_lambda,fetidpmat_ctx->n_lambda,fetidpmat_ctx,&newmat);CHKERRQ(ierr);
1784   ierr = MatShellSetOperation(newmat,MATOP_MULT,(void (*)(void))FETIDPMatMult);CHKERRQ(ierr);
1785   ierr = MatShellSetOperation(newmat,MATOP_MULT_TRANSPOSE,(void (*)(void))FETIDPMatMultTranspose);CHKERRQ(ierr);
1786   ierr = MatShellSetOperation(newmat,MATOP_DESTROY,(void (*)(void))PCBDDCDestroyFETIDPMat);CHKERRQ(ierr);
1787   ierr = MatSetUp(newmat);CHKERRQ(ierr);
1788   /* FETIDP preconditioner */
1789   ierr = PCBDDCCreateFETIDPPCContext(pc,&fetidppc_ctx);CHKERRQ(ierr);
1790   ierr = PCBDDCSetupFETIDPPCContext(newmat,fetidppc_ctx);CHKERRQ(ierr);
1791   ierr = PCCreate(comm,&newpc);CHKERRQ(ierr);
1792   ierr = PCSetType(newpc,PCSHELL);CHKERRQ(ierr);
1793   ierr = PCShellSetContext(newpc,fetidppc_ctx);CHKERRQ(ierr);
1794   ierr = PCShellSetApply(newpc,FETIDPPCApply);CHKERRQ(ierr);
1795   ierr = PCShellSetApplyTranspose(newpc,FETIDPPCApplyTranspose);CHKERRQ(ierr);
1796   ierr = PCShellSetDestroy(newpc,PCBDDCDestroyFETIDPPC);CHKERRQ(ierr);
1797   ierr = PCSetOperators(newpc,newmat,newmat);CHKERRQ(ierr);
1798   ierr = PCSetUp(newpc);CHKERRQ(ierr);
1799   /* return pointers for objects created */
1800   *fetidp_mat=newmat;
1801   *fetidp_pc=newpc;
1802   PetscFunctionReturn(0);
1803 }
1804 
1805 #undef __FUNCT__
1806 #define __FUNCT__ "PCBDDCCreateFETIDPOperators"
1807 /*@
1808  PCBDDCCreateFETIDPOperators - Create operators for FETIDP
1809 
1810    Collective
1811 
1812    Input Parameters:
1813 +  pc - the BDDC preconditioning context already setup
1814 
1815    Output Parameters:
1816 .  fetidp_mat - shell FETIDP matrix object
1817 .  fetidp_pc  - shell Dirichlet preconditioner for FETIDP matrix
1818 
1819    Options Database Keys:
1820 -    -fetidp_fullyredundant: use or not a fully redundant set of Lagrange multipliers
1821 
1822    Level: developer
1823 
1824    Notes:
1825      Currently the only operation provided for FETIDP matrix is MatMult
1826 
1827 .seealso: PCBDDC
1828 @*/
1829 PetscErrorCode PCBDDCCreateFETIDPOperators(PC pc, Mat *fetidp_mat, PC *fetidp_pc)
1830 {
1831   PetscErrorCode ierr;
1832 
1833   PetscFunctionBegin;
1834   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
1835   if (pc->setupcalled) {
1836     ierr = PetscUseMethod(pc,"PCBDDCCreateFETIDPOperators_C",(PC,Mat*,PC*),(pc,fetidp_mat,fetidp_pc));CHKERRQ(ierr);
1837   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"You must call PCSetup_BDDC() first \n");
1838   PetscFunctionReturn(0);
1839 }
1840 /* -------------------------------------------------------------------------- */
1841 /*MC
1842    PCBDDC - Balancing Domain Decomposition by Constraints.
1843 
1844    An implementation of the BDDC preconditioner based on
1845 
1846 .vb
1847    [1] C. R. Dohrmann. "An approximate BDDC preconditioner", Numerical Linear Algebra with Applications Volume 14, Issue 2, pages 149-168, March 2007
1848    [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
1849    [3] J. Mandel, B. Sousedik, C. R. Dohrmann. "Multispace and Multilevel BDDC", http://arxiv.org/abs/0712.3977
1850 .ve
1851 
1852    The matrix to be preconditioned (Pmat) must be of type MATIS.
1853 
1854    Currently works with MATIS matrices with local Neumann matrices of type MATSEQAIJ, MATSEQBAIJ or MATSEQSBAIJ, either with real or complex numbers.
1855 
1856    It also works with unsymmetric and indefinite problems.
1857 
1858    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.
1859 
1860    Approximate local solvers are automatically adapted for singular linear problems (see [1]) if the user has provided the nullspace using PCBDDCSetNullSpace
1861 
1862    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()
1863 
1864    Constraints can be customized by attaching a MatNullSpace object to the MATIS matrix via MatSetNearNullSpace().
1865 
1866    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.
1867 
1868    The PETSc implementation also supports multilevel BDDC [3]. Coarse grids are partitioned using MatPartitioning object.
1869 
1870    Options Database Keys:
1871 
1872 .    -pc_bddc_use_vertices <1> - use or not vertices in primal space
1873 .    -pc_bddc_use_edges <1> - use or not edges in primal space
1874 .    -pc_bddc_use_faces <0> - use or not faces in primal space
1875 .    -pc_bddc_use_change_of_basis <0> - use change of basis approach (on edges only)
1876 .    -pc_bddc_use_change_on_faces <0> - use change of basis approach on faces if change of basis has been requested
1877 .    -pc_bddc_switch_static <0> - switches from M_2 to M_3 operator (see reference article [1])
1878 .    -pc_bddc_levels <0> - maximum number of levels for multilevel
1879 .    -pc_bddc_coarsening_ratio - H/h ratio at the coarser level
1880 -    -pc_bddc_check_level <0> - set verbosity level of debugging output
1881 
1882    Options for Dirichlet, Neumann or coarse solver can be set with
1883 .vb
1884       -pc_bddc_dirichlet_
1885       -pc_bddc_neumann_
1886       -pc_bddc_coarse_
1887 .ve
1888    e.g -pc_bddc_dirichlet_ksp_type richardson -pc_bddc_dirichlet_pc_type gamg
1889 
1890    When using a multilevel approach, solvers' options at the N-th level can be specified as
1891 .vb
1892       -pc_bddc_dirichlet_lN_
1893       -pc_bddc_neumann_lN_
1894       -pc_bddc_coarse_lN_
1895 .ve
1896    Note that level number ranges from the finest 0 to the coarsest N.
1897 
1898    Level: intermediate
1899 
1900    Developer notes:
1901 
1902    New deluxe scaling operator will be available soon.
1903 
1904    Contributed by Stefano Zampini
1905 
1906 .seealso:  PCCreate(), PCSetType(), PCType (for list of available types), PC,  MATIS
1907 M*/
1908 
1909 #undef __FUNCT__
1910 #define __FUNCT__ "PCCreate_BDDC"
1911 PETSC_EXTERN PetscErrorCode PCCreate_BDDC(PC pc)
1912 {
1913   PetscErrorCode      ierr;
1914   PC_BDDC             *pcbddc;
1915 
1916   PetscFunctionBegin;
1917   /* Creates the private data structure for this preconditioner and attach it to the PC object. */
1918   ierr      = PetscNewLog(pc,&pcbddc);CHKERRQ(ierr);
1919   pc->data  = (void*)pcbddc;
1920 
1921   /* create PCIS data structure */
1922   ierr = PCISCreate(pc);CHKERRQ(ierr);
1923 
1924   /* BDDC customization */
1925   pcbddc->use_local_adj       = PETSC_TRUE;
1926   pcbddc->use_vertices        = PETSC_TRUE;
1927   pcbddc->use_edges           = PETSC_TRUE;
1928   pcbddc->use_faces           = PETSC_FALSE;
1929   pcbddc->use_change_of_basis = PETSC_FALSE;
1930   pcbddc->use_change_on_faces = PETSC_FALSE;
1931   pcbddc->switch_static       = PETSC_FALSE;
1932   pcbddc->use_nnsp_true       = PETSC_FALSE;
1933   pcbddc->use_qr_single       = PETSC_FALSE;
1934   pcbddc->dbg_flag            = 0;
1935   /* private */
1936   pcbddc->issym                      = PETSC_FALSE;
1937   pcbddc->local_primal_size          = 0;
1938   pcbddc->n_vertices                 = 0;
1939   pcbddc->n_actual_vertices          = 0;
1940   pcbddc->n_constraints              = 0;
1941   pcbddc->primal_indices_local_idxs  = 0;
1942   pcbddc->recompute_topography       = PETSC_FALSE;
1943   pcbddc->coarse_size                = -1;
1944   pcbddc->new_primal_space           = PETSC_FALSE;
1945   pcbddc->new_primal_space_local     = PETSC_FALSE;
1946   pcbddc->global_primal_indices      = 0;
1947   pcbddc->onearnullspace             = 0;
1948   pcbddc->onearnullvecs_state        = 0;
1949   pcbddc->user_primal_vertices       = 0;
1950   pcbddc->NullSpace                  = 0;
1951   pcbddc->temp_solution              = 0;
1952   pcbddc->original_rhs               = 0;
1953   pcbddc->local_mat                  = 0;
1954   pcbddc->ChangeOfBasisMatrix        = 0;
1955   pcbddc->user_ChangeOfBasisMatrix   = 0;
1956   pcbddc->new_global_mat             = 0;
1957   pcbddc->coarse_vec                 = 0;
1958   pcbddc->coarse_ksp                 = 0;
1959   pcbddc->coarse_phi_B               = 0;
1960   pcbddc->coarse_phi_D               = 0;
1961   pcbddc->coarse_psi_B               = 0;
1962   pcbddc->coarse_psi_D               = 0;
1963   pcbddc->vec1_P                     = 0;
1964   pcbddc->vec1_R                     = 0;
1965   pcbddc->vec2_R                     = 0;
1966   pcbddc->local_auxmat1              = 0;
1967   pcbddc->local_auxmat2              = 0;
1968   pcbddc->R_to_B                     = 0;
1969   pcbddc->R_to_D                     = 0;
1970   pcbddc->ksp_D                      = 0;
1971   pcbddc->ksp_R                      = 0;
1972   pcbddc->NeumannBoundaries          = 0;
1973   pcbddc->NeumannBoundariesLocal     = 0;
1974   pcbddc->DirichletBoundaries        = 0;
1975   pcbddc->DirichletBoundariesLocal   = 0;
1976   pcbddc->user_provided_isfordofs    = PETSC_FALSE;
1977   pcbddc->n_ISForDofs                = 0;
1978   pcbddc->n_ISForDofsLocal           = 0;
1979   pcbddc->ISForDofs                  = 0;
1980   pcbddc->ISForDofsLocal             = 0;
1981   pcbddc->ConstraintMatrix           = 0;
1982   pcbddc->use_exact_dirichlet_trick  = PETSC_TRUE;
1983   pcbddc->coarse_loc_to_glob         = 0;
1984   pcbddc->coarsening_ratio           = 8;
1985   pcbddc->current_level              = 0;
1986   pcbddc->max_levels                 = 0;
1987   pcbddc->use_coarse_estimates       = PETSC_FALSE;
1988   pcbddc->redistribute_coarse        = 0;
1989   pcbddc->coarse_subassembling       = 0;
1990   pcbddc->coarse_subassembling_init  = 0;
1991 
1992   /* create local graph structure */
1993   ierr = PCBDDCGraphCreate(&pcbddc->mat_graph);CHKERRQ(ierr);
1994 
1995   /* scaling */
1996   pcbddc->work_scaling          = 0;
1997   pcbddc->use_deluxe_scaling    = PETSC_FALSE;
1998 
1999   /* create sub schurs structure */
2000   ierr = PCBDDCSubSchursCreate(&pcbddc->sub_schurs);CHKERRQ(ierr);
2001   pcbddc->sub_schurs_threshold   = -1;
2002   pcbddc->sub_schurs_rebuild     = PETSC_FALSE;
2003   pcbddc->sub_schurs_layers      = -1;
2004   pcbddc->sub_schurs_use_useradj = PETSC_FALSE;
2005 
2006   pcbddc->computed_rowadj = PETSC_FALSE;
2007 
2008   /* adaptivity */
2009   pcbddc->adaptive_threshold      = -1.0;
2010   pcbddc->adaptive_invert_Stildas = PETSC_TRUE;
2011   pcbddc->adaptive_nmax           = 0;
2012   pcbddc->adaptive_nmin           = -1;
2013 
2014   /* function pointers */
2015   pc->ops->apply               = PCApply_BDDC;
2016   pc->ops->applytranspose      = PCApplyTranspose_BDDC;
2017   pc->ops->setup               = PCSetUp_BDDC;
2018   pc->ops->destroy             = PCDestroy_BDDC;
2019   pc->ops->setfromoptions      = PCSetFromOptions_BDDC;
2020   pc->ops->view                = 0;
2021   pc->ops->applyrichardson     = 0;
2022   pc->ops->applysymmetricleft  = 0;
2023   pc->ops->applysymmetricright = 0;
2024   pc->ops->presolve            = PCPreSolve_BDDC;
2025   pc->ops->postsolve           = PCPostSolve_BDDC;
2026 
2027   /* composing function */
2028   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetChangeOfBasisMat_C",PCBDDCSetChangeOfBasisMat_BDDC);CHKERRQ(ierr);
2029   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetPrimalVerticesLocalIS_C",PCBDDCSetPrimalVerticesLocalIS_BDDC);CHKERRQ(ierr);
2030   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetCoarseningRatio_C",PCBDDCSetCoarseningRatio_BDDC);CHKERRQ(ierr);
2031   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevel_C",PCBDDCSetLevel_BDDC);CHKERRQ(ierr);
2032   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetUseExactDirichlet_C",PCBDDCSetUseExactDirichlet_BDDC);CHKERRQ(ierr);
2033   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevels_C",PCBDDCSetLevels_BDDC);CHKERRQ(ierr);
2034   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNullSpace_C",PCBDDCSetNullSpace_BDDC);CHKERRQ(ierr);
2035   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundaries_C",PCBDDCSetDirichletBoundaries_BDDC);CHKERRQ(ierr);
2036   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundariesLocal_C",PCBDDCSetDirichletBoundariesLocal_BDDC);CHKERRQ(ierr);
2037   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundaries_C",PCBDDCSetNeumannBoundaries_BDDC);CHKERRQ(ierr);
2038   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundariesLocal_C",PCBDDCSetNeumannBoundariesLocal_BDDC);CHKERRQ(ierr);
2039   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundaries_C",PCBDDCGetDirichletBoundaries_BDDC);CHKERRQ(ierr);
2040   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundariesLocal_C",PCBDDCGetDirichletBoundariesLocal_BDDC);CHKERRQ(ierr);
2041   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundaries_C",PCBDDCGetNeumannBoundaries_BDDC);CHKERRQ(ierr);
2042   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundariesLocal_C",PCBDDCGetNeumannBoundariesLocal_BDDC);CHKERRQ(ierr);
2043   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplitting_C",PCBDDCSetDofsSplitting_BDDC);CHKERRQ(ierr);
2044   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplittingLocal_C",PCBDDCSetDofsSplittingLocal_BDDC);CHKERRQ(ierr);
2045   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLocalAdjacencyGraph_C",PCBDDCSetLocalAdjacencyGraph_BDDC);CHKERRQ(ierr);
2046   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCCreateFETIDPOperators_C",PCBDDCCreateFETIDPOperators_BDDC);CHKERRQ(ierr);
2047   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetRHS_C",PCBDDCMatFETIDPGetRHS_BDDC);CHKERRQ(ierr);
2048   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetSolution_C",PCBDDCMatFETIDPGetSolution_BDDC);CHKERRQ(ierr);
2049   PetscFunctionReturn(0);
2050 }
2051 
2052