xref: /petsc/src/ksp/pc/impls/bddc/bddc.c (revision 4e7385fac521a32d019ba1b91cac4ccec6d80411)
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) {
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) {
1034     ierr = VecSet(x,0.0);CHKERRQ(ierr);
1035     if (pcbddc->use_exact_dirichlet_trick) {
1036       ierr = VecScatterBegin(pcis->global_to_D,rhs,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1037       ierr = VecScatterEnd(pcis->global_to_D,rhs,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1038       ierr = KSPSolve(pcbddc->ksp_D,pcis->vec1_D,pcis->vec2_D);CHKERRQ(ierr);
1039       ierr = VecScatterBegin(pcis->global_to_D,pcis->vec2_D,x,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1040       ierr = VecScatterEnd(pcis->global_to_D,pcis->vec2_D,x,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1041       if (ksp && !pcbddc->ksp_guess_nonzero) {
1042         ierr = KSPSetInitialGuessNonzero(ksp,PETSC_TRUE);CHKERRQ(ierr);
1043       }
1044     }
1045   }
1046 
1047   if (pcbddc->ChangeOfBasisMatrix) {
1048     PCBDDCChange_ctx change_ctx;
1049 
1050     /* get change ctx */
1051     ierr = MatShellGetContext(pcbddc->new_global_mat,&change_ctx);CHKERRQ(ierr);
1052 
1053     /* set current iteration matrix inside change context (change of basis has been already set into the ctx during PCSetUp) */
1054     ierr = MatDestroy(&change_ctx->original_mat);CHKERRQ(ierr);
1055     ierr = PetscObjectReference((PetscObject)pc->mat);CHKERRQ(ierr);
1056     change_ctx->original_mat = pc->mat;
1057 
1058     /* change iteration matrix */
1059     ierr = MatDestroy(&pc->mat);CHKERRQ(ierr);
1060     ierr = PetscObjectReference((PetscObject)pcbddc->new_global_mat);CHKERRQ(ierr);
1061     pc->mat = pcbddc->new_global_mat;
1062 
1063     /* store the original rhs */
1064     if (copy_rhs) {
1065       ierr = VecCopy(rhs,pcbddc->original_rhs);CHKERRQ(ierr);
1066       copy_rhs = PETSC_FALSE;
1067     }
1068 
1069     /* change rhs */
1070     ierr = MatMultTranspose(change_ctx->global_change,rhs,pcis->vec1_global);CHKERRQ(ierr);
1071     ierr = VecCopy(pcis->vec1_global,rhs);CHKERRQ(ierr);
1072     pcbddc->rhs_change = PETSC_TRUE;
1073   }
1074 
1075   /* remove nullspace if present */
1076   if (ksp && x && pcbddc->NullSpace) {
1077     ierr = MatNullSpaceRemove(pcbddc->NullSpace,x);CHKERRQ(ierr);
1078     /* store the original rhs */
1079     if (copy_rhs) {
1080       ierr = VecCopy(rhs,pcbddc->original_rhs);CHKERRQ(ierr);
1081       copy_rhs = PETSC_FALSE;
1082     }
1083     pcbddc->rhs_change = PETSC_TRUE;
1084     ierr = MatNullSpaceRemove(pcbddc->NullSpace,rhs);CHKERRQ(ierr);
1085   }
1086   PetscFunctionReturn(0);
1087 }
1088 
1089 /* -------------------------------------------------------------------------- */
1090 #undef __FUNCT__
1091 #define __FUNCT__ "PCPostSolve_BDDC"
1092 /* -------------------------------------------------------------------------- */
1093 /*
1094    PCPostSolve_BDDC - Changes the computed solution if a transformation of basis
1095                      approach has been selected. Also, restores rhs to its original state.
1096 
1097    Input Parameter:
1098 +  pc - the preconditioner contex
1099 
1100    Application Interface Routine: PCPostSolve()
1101 
1102    Notes:
1103    The interface routine PCPostSolve() is not usually called directly by
1104    the user, but instead is called by KSPSolve().
1105 */
1106 static PetscErrorCode PCPostSolve_BDDC(PC pc, KSP ksp, Vec rhs, Vec x)
1107 {
1108   PetscErrorCode ierr;
1109   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
1110 
1111   PetscFunctionBegin;
1112   if (pcbddc->ChangeOfBasisMatrix) {
1113     PCBDDCChange_ctx change_ctx;
1114 
1115     /* get change ctx */
1116     ierr = MatShellGetContext(pcbddc->new_global_mat,&change_ctx);CHKERRQ(ierr);
1117 
1118     /* restore iteration matrix */
1119     ierr = MatDestroy(&pc->mat);CHKERRQ(ierr);
1120     ierr = PetscObjectReference((PetscObject)change_ctx->original_mat);CHKERRQ(ierr);
1121     pc->mat = change_ctx->original_mat;
1122 
1123     /* get solution in original basis */
1124     if (x) {
1125       PC_IS *pcis = (PC_IS*)(pc->data);
1126       ierr = MatMult(change_ctx->global_change,x,pcis->vec1_global);CHKERRQ(ierr);
1127       ierr = VecCopy(pcis->vec1_global,x);CHKERRQ(ierr);
1128     }
1129   }
1130 
1131   /* add solution removed in presolve */
1132   if (x && pcbddc->rhs_change) {
1133     ierr = VecAXPY(x,1.0,pcbddc->temp_solution);CHKERRQ(ierr);
1134   }
1135 
1136   /* restore rhs to its original state */
1137   if (rhs && pcbddc->rhs_change) {
1138     ierr = VecCopy(pcbddc->original_rhs,rhs);CHKERRQ(ierr);
1139   }
1140   pcbddc->rhs_change = PETSC_FALSE;
1141 
1142   /* restore ksp guess state */
1143   if (ksp) {
1144     ierr = KSPSetInitialGuessNonzero(ksp,pcbddc->ksp_guess_nonzero);CHKERRQ(ierr);
1145   }
1146   PetscFunctionReturn(0);
1147 }
1148 /* -------------------------------------------------------------------------- */
1149 #undef __FUNCT__
1150 #define __FUNCT__ "PCSetUp_BDDC"
1151 /* -------------------------------------------------------------------------- */
1152 /*
1153    PCSetUp_BDDC - Prepares for the use of the BDDC preconditioner
1154                   by setting data structures and options.
1155 
1156    Input Parameter:
1157 +  pc - the preconditioner context
1158 
1159    Application Interface Routine: PCSetUp()
1160 
1161    Notes:
1162    The interface routine PCSetUp() is not usually called directly by
1163    the user, but instead is called by PCApply() if necessary.
1164 */
1165 PetscErrorCode PCSetUp_BDDC(PC pc)
1166 {
1167   PetscErrorCode ierr;
1168   PC_BDDC*       pcbddc = (PC_BDDC*)pc->data;
1169   Mat_IS*        matis;
1170   MatNullSpace   nearnullspace;
1171   PetscBool      computetopography,computesolvers,computesubschurs;
1172   PetscBool      computeconstraintsmatrix;
1173   PetscBool      new_nearnullspace_provided,ismatis;
1174 
1175   PetscFunctionBegin;
1176   ierr = PetscObjectTypeCompare((PetscObject)pc->pmat,MATIS,&ismatis);CHKERRQ(ierr);
1177   if (!ismatis) {
1178     SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_ARG_WRONG,"PCBDDC preconditioner requires matrix of type MATIS");
1179   }
1180   matis = (Mat_IS*)pc->pmat->data;
1181   /* the following lines of code should be replaced by a better logic between PCIS, PCNN, PCBDDC and other future nonoverlapping preconditioners */
1182   /* For BDDC we need to define a local "Neumann" problem different to that defined in PCISSetup
1183      Also, BDDC directly build the Dirichlet problem */
1184   /* split work */
1185   if (pc->setupcalled) {
1186     if (pc->flag == SAME_NONZERO_PATTERN) {
1187       computetopography = PETSC_FALSE;
1188       computesolvers = PETSC_TRUE;
1189     } else { /* DIFFERENT_NONZERO_PATTERN */
1190       computetopography = PETSC_TRUE;
1191       computesolvers = PETSC_TRUE;
1192     }
1193   } else {
1194     computetopography = PETSC_TRUE;
1195     computesolvers = PETSC_TRUE;
1196   }
1197   if (pcbddc->recompute_topography) {
1198     computetopography = PETSC_TRUE;
1199   }
1200   computeconstraintsmatrix = PETSC_FALSE;
1201   pcbddc->adaptive_selection = (PetscBool)(pcbddc->adaptive_threshold > 0.0);
1202   computesubschurs = (PetscBool)(pcbddc->use_deluxe_scaling || pcbddc->adaptive_selection);
1203 
1204   /* Get stdout for dbg */
1205   if (pcbddc->dbg_flag) {
1206     if (!pcbddc->dbg_viewer) {
1207       pcbddc->dbg_viewer = PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)pc));
1208       ierr = PetscViewerASCIISynchronizedAllow(pcbddc->dbg_viewer,PETSC_TRUE);CHKERRQ(ierr);
1209     }
1210     ierr = PetscViewerASCIIAddTab(pcbddc->dbg_viewer,2*pcbddc->current_level);CHKERRQ(ierr);
1211   }
1212 
1213   /*ierr = MatIsSymmetric(pc->pmat,0.,&pcbddc->issym);CHKERRQ(ierr);*/
1214   { /* this is a temporary workaround since seqbaij matrices does not have support for symmetry checking */
1215     PetscBool setsym;
1216     ierr = MatIsSymmetricKnown(pc->pmat,&setsym,&pcbddc->issym);CHKERRQ(ierr);
1217     if (!setsym) pcbddc->issym = PETSC_FALSE;
1218   }
1219 
1220   if (pcbddc->user_ChangeOfBasisMatrix) {
1221     /* use_change_of_basis flag is used to automatically compute a change of basis from constraints */
1222     pcbddc->use_change_of_basis = PETSC_FALSE;
1223     ierr = PCBDDCComputeLocalMatrix(pc,pcbddc->user_ChangeOfBasisMatrix);CHKERRQ(ierr);
1224   } else {
1225     ierr = MatDestroy(&pcbddc->local_mat);CHKERRQ(ierr);
1226     ierr = PetscObjectReference((PetscObject)matis->A);CHKERRQ(ierr);
1227     pcbddc->local_mat = matis->A;
1228   }
1229 
1230   /* Set up all the "iterative substructuring" common block without computing solvers */
1231   {
1232     Mat temp_mat;
1233 
1234     temp_mat = matis->A;
1235     matis->A = pcbddc->local_mat;
1236     ierr = PCISSetUp(pc,PETSC_FALSE);CHKERRQ(ierr);
1237     pcbddc->local_mat = matis->A;
1238     matis->A = temp_mat;
1239   }
1240 
1241   /* Analyze interface and setup sub_schurs data */
1242   if (computetopography) {
1243     ierr = PCBDDCAnalyzeInterface(pc);CHKERRQ(ierr);
1244     computeconstraintsmatrix = PETSC_TRUE;
1245   }
1246 
1247   /* Setup local dirichlet solver ksp_D and sub_schurs solvers */
1248   if (computesolvers) {
1249     ierr = PCBDDCSetUpLocalSolvers(pc,PETSC_TRUE,PETSC_FALSE);CHKERRQ(ierr);
1250     if (computesubschurs) {
1251       if (computetopography) {
1252         ierr = PCBDDCInitSubSchurs(pc);CHKERRQ(ierr);
1253       }
1254       ierr = PCBDDCSetUpSubSchurs(pc);CHKERRQ(ierr);
1255       if (pcbddc->adaptive_selection) {
1256         ierr = PCBDDCAdaptiveSelection(pc);CHKERRQ(ierr);
1257         computeconstraintsmatrix = PETSC_TRUE;
1258       }
1259     }
1260   }
1261 
1262   /* infer if NullSpace object attached to Mat via MatSetNearNullSpace has changed */
1263   new_nearnullspace_provided = PETSC_FALSE;
1264   ierr = MatGetNearNullSpace(pc->pmat,&nearnullspace);CHKERRQ(ierr);
1265   if (pcbddc->onearnullspace) { /* already used nearnullspace */
1266     if (!nearnullspace) { /* near null space attached to mat has been destroyed */
1267       new_nearnullspace_provided = PETSC_TRUE;
1268     } else {
1269       /* determine if the two nullspaces are different (should be lightweight) */
1270       if (nearnullspace != pcbddc->onearnullspace) {
1271         new_nearnullspace_provided = PETSC_TRUE;
1272       } else { /* maybe the user has changed the content of the nearnullspace so check vectors ObjectStateId */
1273         PetscInt         i;
1274         const Vec        *nearnullvecs;
1275         PetscObjectState state;
1276         PetscInt         nnsp_size;
1277         ierr = MatNullSpaceGetVecs(nearnullspace,NULL,&nnsp_size,&nearnullvecs);CHKERRQ(ierr);
1278         for (i=0;i<nnsp_size;i++) {
1279           ierr = PetscObjectStateGet((PetscObject)nearnullvecs[i],&state);CHKERRQ(ierr);
1280           if (pcbddc->onearnullvecs_state[i] != state) {
1281             new_nearnullspace_provided = PETSC_TRUE;
1282             break;
1283           }
1284         }
1285       }
1286     }
1287   } else {
1288     if (!nearnullspace) { /* both nearnullspaces are null */
1289       new_nearnullspace_provided = PETSC_FALSE;
1290     } else { /* nearnullspace attached later */
1291       new_nearnullspace_provided = PETSC_TRUE;
1292     }
1293   }
1294 
1295   /* Setup constraints and related work vectors */
1296   /* reset primal space flags */
1297   pcbddc->new_primal_space = PETSC_FALSE;
1298   pcbddc->new_primal_space_local = PETSC_FALSE;
1299   if (computeconstraintsmatrix || new_nearnullspace_provided) {
1300     /* It also sets the primal space flags */
1301     ierr = PCBDDCConstraintsSetUp(pc);CHKERRQ(ierr);
1302     /* Allocate needed local vectors (which depends on quantities defined during ConstraintsSetUp) */
1303     ierr = PCBDDCSetUpLocalWorkVectors(pc);CHKERRQ(ierr);
1304   }
1305 
1306   if (computesolvers || pcbddc->new_primal_space) {
1307     if (pcbddc->use_change_of_basis) {
1308       PC_IS *pcis = (PC_IS*)(pc->data);
1309 
1310       ierr = PCBDDCComputeLocalMatrix(pc,pcbddc->ChangeOfBasisMatrix);CHKERRQ(ierr);
1311       /* get submatrices */
1312       ierr = MatDestroy(&pcis->A_IB);CHKERRQ(ierr);
1313       ierr = MatDestroy(&pcis->A_BI);CHKERRQ(ierr);
1314       ierr = MatDestroy(&pcis->A_BB);CHKERRQ(ierr);
1315       ierr = MatGetSubMatrix(pcbddc->local_mat,pcis->is_B_local,pcis->is_B_local,MAT_INITIAL_MATRIX,&pcis->A_BB);CHKERRQ(ierr);
1316       ierr = MatGetSubMatrix(pcbddc->local_mat,pcis->is_I_local,pcis->is_B_local,MAT_INITIAL_MATRIX,&pcis->A_IB);CHKERRQ(ierr);
1317       ierr = MatGetSubMatrix(pcbddc->local_mat,pcis->is_B_local,pcis->is_I_local,MAT_INITIAL_MATRIX,&pcis->A_BI);CHKERRQ(ierr);
1318       /* set flag in pcis to not reuse submatrices during PCISCreate */
1319       pcis->reusesubmatrices = PETSC_FALSE;
1320     } else if (!pcbddc->user_ChangeOfBasisMatrix) {
1321       ierr = MatDestroy(&pcbddc->local_mat);CHKERRQ(ierr);
1322       ierr = PetscObjectReference((PetscObject)matis->A);CHKERRQ(ierr);
1323       pcbddc->local_mat = matis->A;
1324     }
1325     /* SetUp coarse and local Neumann solvers */
1326     ierr = PCBDDCSetUpSolvers(pc);CHKERRQ(ierr);
1327     /* SetUp Scaling operator */
1328     ierr = PCBDDCScalingSetUp(pc);CHKERRQ(ierr);
1329   }
1330 
1331   if (pcbddc->dbg_flag) {
1332     ierr = PetscViewerASCIISubtractTab(pcbddc->dbg_viewer,2*pcbddc->current_level);CHKERRQ(ierr);
1333   }
1334   PetscFunctionReturn(0);
1335 }
1336 
1337 /* -------------------------------------------------------------------------- */
1338 /*
1339    PCApply_BDDC - Applies the BDDC operator to a vector.
1340 
1341    Input Parameters:
1342 .  pc - the preconditioner context
1343 .  r - input vector (global)
1344 
1345    Output Parameter:
1346 .  z - output vector (global)
1347 
1348    Application Interface Routine: PCApply()
1349  */
1350 #undef __FUNCT__
1351 #define __FUNCT__ "PCApply_BDDC"
1352 PetscErrorCode PCApply_BDDC(PC pc,Vec r,Vec z)
1353 {
1354   PC_IS             *pcis = (PC_IS*)(pc->data);
1355   PC_BDDC           *pcbddc = (PC_BDDC*)(pc->data);
1356   PetscErrorCode    ierr;
1357   const PetscScalar one = 1.0;
1358   const PetscScalar m_one = -1.0;
1359   const PetscScalar zero = 0.0;
1360 
1361 /* This code is similar to that provided in nn.c for PCNN
1362    NN interface preconditioner changed to BDDC
1363    Added support for M_3 preconditioner in the reference article (code is active if pcbddc->switch_static = PETSC_TRUE) */
1364 
1365   PetscFunctionBegin;
1366   if (!pcbddc->use_exact_dirichlet_trick) {
1367     /* First Dirichlet solve */
1368     ierr = VecScatterBegin(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1369     ierr = VecScatterEnd(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1370     ierr = KSPSolve(pcbddc->ksp_D,pcis->vec1_D,pcis->vec2_D);CHKERRQ(ierr);
1371     /*
1372       Assembling right hand side for BDDC operator
1373       - pcis->vec1_D for the Dirichlet part (if needed, i.e. prec_flag=PETSC_TRUE)
1374       - pcis->vec1_B the interface part of the global vector z
1375     */
1376     ierr = VecScale(pcis->vec2_D,m_one);CHKERRQ(ierr);
1377     ierr = MatMult(pcis->A_BI,pcis->vec2_D,pcis->vec1_B);CHKERRQ(ierr);
1378     if (pcbddc->switch_static) { ierr = MatMultAdd(pcis->A_II,pcis->vec2_D,pcis->vec1_D,pcis->vec1_D);CHKERRQ(ierr); }
1379     ierr = VecScale(pcis->vec2_D,m_one);CHKERRQ(ierr);
1380     ierr = VecCopy(r,z);CHKERRQ(ierr);
1381     ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1382     ierr = VecScatterEnd(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1383     ierr = PCBDDCScalingRestriction(pc,z,pcis->vec1_B);CHKERRQ(ierr);
1384   } else {
1385     ierr = VecSet(pcis->vec1_D,zero);CHKERRQ(ierr);
1386     ierr = VecSet(pcis->vec2_D,zero);CHKERRQ(ierr);
1387     ierr = PCBDDCScalingRestriction(pc,r,pcis->vec1_B);CHKERRQ(ierr);
1388   }
1389 
1390   /* Apply interface preconditioner
1391      input/output vecs: pcis->vec1_B and pcis->vec1_D */
1392   ierr = PCBDDCApplyInterfacePreconditioner(pc,PETSC_FALSE);CHKERRQ(ierr);
1393 
1394   /* Apply transpose of partition of unity operator */
1395   ierr = PCBDDCScalingExtension(pc,pcis->vec1_B,z);CHKERRQ(ierr);
1396 
1397   /* Second Dirichlet solve and assembling of output */
1398   ierr = VecScatterBegin(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1399   ierr = VecScatterEnd(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1400   ierr = MatMult(pcis->A_IB,pcis->vec1_B,pcis->vec3_D);CHKERRQ(ierr);
1401   if (pcbddc->switch_static) { ierr = MatMultAdd(pcis->A_II,pcis->vec1_D,pcis->vec3_D,pcis->vec3_D);CHKERRQ(ierr); }
1402   ierr = KSPSolve(pcbddc->ksp_D,pcis->vec3_D,pcis->vec4_D);CHKERRQ(ierr);
1403   ierr = VecScale(pcis->vec4_D,m_one);CHKERRQ(ierr);
1404   if (pcbddc->switch_static) { ierr = VecAXPY(pcis->vec4_D,one,pcis->vec1_D);CHKERRQ(ierr); }
1405   ierr = VecAXPY(pcis->vec2_D,one,pcis->vec4_D);CHKERRQ(ierr);
1406   ierr = VecScatterBegin(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1407   ierr = VecScatterEnd(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1408   PetscFunctionReturn(0);
1409 }
1410 
1411 /* -------------------------------------------------------------------------- */
1412 /*
1413    PCApplyTranspose_BDDC - Applies the transpose of the BDDC operator to a vector.
1414 
1415    Input Parameters:
1416 .  pc - the preconditioner context
1417 .  r - input vector (global)
1418 
1419    Output Parameter:
1420 .  z - output vector (global)
1421 
1422    Application Interface Routine: PCApplyTranspose()
1423  */
1424 #undef __FUNCT__
1425 #define __FUNCT__ "PCApplyTranspose_BDDC"
1426 PetscErrorCode PCApplyTranspose_BDDC(PC pc,Vec r,Vec z)
1427 {
1428   PC_IS             *pcis = (PC_IS*)(pc->data);
1429   PC_BDDC           *pcbddc = (PC_BDDC*)(pc->data);
1430   PetscErrorCode    ierr;
1431   const PetscScalar one = 1.0;
1432   const PetscScalar m_one = -1.0;
1433   const PetscScalar zero = 0.0;
1434 
1435   PetscFunctionBegin;
1436   if (!pcbddc->use_exact_dirichlet_trick) {
1437     /* First Dirichlet solve */
1438     ierr = VecScatterBegin(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1439     ierr = VecScatterEnd(pcis->global_to_D,r,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1440     ierr = KSPSolveTranspose(pcbddc->ksp_D,pcis->vec1_D,pcis->vec2_D);CHKERRQ(ierr);
1441     /*
1442       Assembling right hand side for BDDC operator
1443       - pcis->vec1_D for the Dirichlet part (if needed, i.e. prec_flag=PETSC_TRUE)
1444       - pcis->vec1_B the interface part of the global vector z
1445     */
1446     ierr = VecScale(pcis->vec2_D,m_one);CHKERRQ(ierr);
1447     ierr = MatMultTranspose(pcis->A_IB,pcis->vec2_D,pcis->vec1_B);CHKERRQ(ierr);
1448     if (pcbddc->switch_static) { ierr = MatMultTransposeAdd(pcis->A_II,pcis->vec2_D,pcis->vec1_D,pcis->vec1_D);CHKERRQ(ierr); }
1449     ierr = VecScale(pcis->vec2_D,m_one);CHKERRQ(ierr);
1450     ierr = VecCopy(r,z);CHKERRQ(ierr);
1451     ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1452     ierr = VecScatterEnd(pcis->global_to_B,pcis->vec1_B,z,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1453     ierr = PCBDDCScalingRestriction(pc,z,pcis->vec1_B);CHKERRQ(ierr);
1454   } else {
1455     ierr = VecSet(pcis->vec1_D,zero);CHKERRQ(ierr);
1456     ierr = VecSet(pcis->vec2_D,zero);CHKERRQ(ierr);
1457     ierr = PCBDDCScalingRestriction(pc,r,pcis->vec1_B);CHKERRQ(ierr);
1458   }
1459 
1460   /* Apply interface preconditioner
1461      input/output vecs: pcis->vec1_B and pcis->vec1_D */
1462   ierr = PCBDDCApplyInterfacePreconditioner(pc,PETSC_TRUE);CHKERRQ(ierr);
1463 
1464   /* Apply transpose of partition of unity operator */
1465   ierr = PCBDDCScalingExtension(pc,pcis->vec1_B,z);CHKERRQ(ierr);
1466 
1467   /* Second Dirichlet solve and assembling of output */
1468   ierr = VecScatterBegin(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1469   ierr = VecScatterEnd(pcis->global_to_B,z,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1470   ierr = MatMultTranspose(pcis->A_BI,pcis->vec1_B,pcis->vec3_D);CHKERRQ(ierr);
1471   if (pcbddc->switch_static) { ierr = MatMultTransposeAdd(pcis->A_II,pcis->vec1_D,pcis->vec3_D,pcis->vec3_D);CHKERRQ(ierr); }
1472   ierr = KSPSolveTranspose(pcbddc->ksp_D,pcis->vec3_D,pcis->vec4_D);CHKERRQ(ierr);
1473   ierr = VecScale(pcis->vec4_D,m_one);CHKERRQ(ierr);
1474   if (pcbddc->switch_static) { ierr = VecAXPY(pcis->vec4_D,one,pcis->vec1_D);CHKERRQ(ierr); }
1475   ierr = VecAXPY(pcis->vec2_D,one,pcis->vec4_D);CHKERRQ(ierr);
1476   ierr = VecScatterBegin(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1477   ierr = VecScatterEnd(pcis->global_to_D,pcis->vec2_D,z,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1478   PetscFunctionReturn(0);
1479 }
1480 /* -------------------------------------------------------------------------- */
1481 
1482 #undef __FUNCT__
1483 #define __FUNCT__ "PCDestroy_BDDC"
1484 PetscErrorCode PCDestroy_BDDC(PC pc)
1485 {
1486   PC_BDDC        *pcbddc = (PC_BDDC*)pc->data;
1487   PetscErrorCode ierr;
1488 
1489   PetscFunctionBegin;
1490   /* free data created by PCIS */
1491   ierr = PCISDestroy(pc);CHKERRQ(ierr);
1492   /* free BDDC custom data  */
1493   ierr = PCBDDCResetCustomization(pc);CHKERRQ(ierr);
1494   /* destroy objects related to topography */
1495   ierr = PCBDDCResetTopography(pc);CHKERRQ(ierr);
1496   /* free allocated graph structure */
1497   ierr = PetscFree(pcbddc->mat_graph);CHKERRQ(ierr);
1498   /* free allocated sub schurs structure */
1499   ierr = PetscFree(pcbddc->sub_schurs);CHKERRQ(ierr);
1500   /* destroy objects for scaling operator */
1501   ierr = PCBDDCScalingDestroy(pc);CHKERRQ(ierr);
1502   ierr = PetscFree(pcbddc->deluxe_ctx);CHKERRQ(ierr);
1503   /* free solvers stuff */
1504   ierr = PCBDDCResetSolvers(pc);CHKERRQ(ierr);
1505   /* free global vectors needed in presolve */
1506   ierr = VecDestroy(&pcbddc->temp_solution);CHKERRQ(ierr);
1507   ierr = VecDestroy(&pcbddc->original_rhs);CHKERRQ(ierr);
1508   /* free stuff for change of basis hooks */
1509   if (pcbddc->new_global_mat) {
1510     PCBDDCChange_ctx change_ctx;
1511     ierr = MatShellGetContext(pcbddc->new_global_mat,&change_ctx);CHKERRQ(ierr);
1512     ierr = MatDestroy(&change_ctx->original_mat);CHKERRQ(ierr);
1513     ierr = MatDestroy(&change_ctx->global_change);CHKERRQ(ierr);
1514     ierr = VecDestroyVecs(2,&change_ctx->work);CHKERRQ(ierr);
1515     ierr = PetscFree(change_ctx);CHKERRQ(ierr);
1516   }
1517   ierr = MatDestroy(&pcbddc->new_global_mat);CHKERRQ(ierr);
1518   /* remove functions */
1519   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetChangeOfBasisMat_C",NULL);CHKERRQ(ierr);
1520   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetPrimalVerticesLocalIS_C",NULL);CHKERRQ(ierr);
1521   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetCoarseningRatio_C",NULL);CHKERRQ(ierr);
1522   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevel_C",NULL);CHKERRQ(ierr);
1523   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetUseExactDirichlet_C",NULL);CHKERRQ(ierr);
1524   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevels_C",NULL);CHKERRQ(ierr);
1525   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNullSpace_C",NULL);CHKERRQ(ierr);
1526   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundaries_C",NULL);CHKERRQ(ierr);
1527   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundariesLocal_C",NULL);CHKERRQ(ierr);
1528   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundaries_C",NULL);CHKERRQ(ierr);
1529   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundariesLocal_C",NULL);CHKERRQ(ierr);
1530   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundaries_C",NULL);CHKERRQ(ierr);
1531   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundariesLocal_C",NULL);CHKERRQ(ierr);
1532   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundaries_C",NULL);CHKERRQ(ierr);
1533   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundariesLocal_C",NULL);CHKERRQ(ierr);
1534   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplitting_C",NULL);CHKERRQ(ierr);
1535   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplittingLocal_C",NULL);CHKERRQ(ierr);
1536   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLocalAdjacencyGraph_C",NULL);CHKERRQ(ierr);
1537   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCCreateFETIDPOperators_C",NULL);CHKERRQ(ierr);
1538   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetRHS_C",NULL);CHKERRQ(ierr);
1539   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetSolution_C",NULL);CHKERRQ(ierr);
1540   /* Free the private data structure */
1541   ierr = PetscFree(pc->data);CHKERRQ(ierr);
1542   PetscFunctionReturn(0);
1543 }
1544 /* -------------------------------------------------------------------------- */
1545 
1546 #undef __FUNCT__
1547 #define __FUNCT__ "PCBDDCMatFETIDPGetRHS_BDDC"
1548 static PetscErrorCode PCBDDCMatFETIDPGetRHS_BDDC(Mat fetidp_mat, Vec standard_rhs, Vec fetidp_flux_rhs)
1549 {
1550   FETIDPMat_ctx  mat_ctx;
1551   Vec            copy_standard_rhs;
1552   PC_IS*         pcis;
1553   PC_BDDC*       pcbddc;
1554   PetscErrorCode ierr;
1555 
1556   PetscFunctionBegin;
1557   ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr);
1558   pcis = (PC_IS*)mat_ctx->pc->data;
1559   pcbddc = (PC_BDDC*)mat_ctx->pc->data;
1560 
1561   /*
1562      change of basis for physical rhs if needed
1563      It also changes the rhs in case of dirichlet boundaries
1564      TODO: better management when FETIDP will have its own class
1565   */
1566   ierr = VecDuplicate(standard_rhs,&copy_standard_rhs);CHKERRQ(ierr);
1567   ierr = VecCopy(standard_rhs,copy_standard_rhs);CHKERRQ(ierr);
1568   ierr = PCPreSolve_BDDC(mat_ctx->pc,NULL,copy_standard_rhs,NULL);CHKERRQ(ierr);
1569   /* store vectors for computation of fetidp final solution */
1570   ierr = VecScatterBegin(pcis->global_to_D,copy_standard_rhs,mat_ctx->temp_solution_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1571   ierr = VecScatterEnd(pcis->global_to_D,copy_standard_rhs,mat_ctx->temp_solution_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1572   /* scale rhs since it should be unassembled */
1573   /* TODO use counter scaling? (also below) */
1574   ierr = VecScatterBegin(pcis->global_to_B,copy_standard_rhs,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1575   ierr = VecScatterEnd(pcis->global_to_B,copy_standard_rhs,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1576   /* Apply partition of unity */
1577   ierr = VecPointwiseMult(mat_ctx->temp_solution_B,pcis->D,mat_ctx->temp_solution_B);CHKERRQ(ierr);
1578   /* ierr = PCBDDCScalingRestriction(mat_ctx->pc,copy_standard_rhs,mat_ctx->temp_solution_B);CHKERRQ(ierr); */
1579   if (!pcbddc->switch_static) {
1580     /* compute partially subassembled Schur complement right-hand side */
1581     ierr = KSPSolve(pcbddc->ksp_D,mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr);
1582     ierr = MatMult(pcis->A_BI,pcis->vec1_D,pcis->vec1_B);CHKERRQ(ierr);
1583     ierr = VecAXPY(mat_ctx->temp_solution_B,-1.0,pcis->vec1_B);CHKERRQ(ierr);
1584     ierr = VecSet(copy_standard_rhs,0.0);CHKERRQ(ierr);
1585     ierr = VecScatterBegin(pcis->global_to_B,mat_ctx->temp_solution_B,copy_standard_rhs,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1586     ierr = VecScatterEnd(pcis->global_to_B,mat_ctx->temp_solution_B,copy_standard_rhs,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1587     /* ierr = PCBDDCScalingRestriction(mat_ctx->pc,copy_standard_rhs,mat_ctx->temp_solution_B);CHKERRQ(ierr); */
1588     ierr = VecScatterBegin(pcis->global_to_B,copy_standard_rhs,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1589     ierr = VecScatterEnd(pcis->global_to_B,copy_standard_rhs,mat_ctx->temp_solution_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1590     ierr = VecPointwiseMult(mat_ctx->temp_solution_B,pcis->D,mat_ctx->temp_solution_B);CHKERRQ(ierr);
1591   }
1592   ierr = VecDestroy(&copy_standard_rhs);CHKERRQ(ierr);
1593   /* BDDC rhs */
1594   ierr = VecCopy(mat_ctx->temp_solution_B,pcis->vec1_B);CHKERRQ(ierr);
1595   if (pcbddc->switch_static) {
1596     ierr = VecCopy(mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr);
1597   }
1598   /* apply BDDC */
1599   ierr = PCBDDCApplyInterfacePreconditioner(mat_ctx->pc,PETSC_FALSE);CHKERRQ(ierr);
1600   /* Application of B_delta and assembling of rhs for fetidp fluxes */
1601   ierr = VecSet(fetidp_flux_rhs,0.0);CHKERRQ(ierr);
1602   ierr = MatMult(mat_ctx->B_delta,pcis->vec1_B,mat_ctx->lambda_local);CHKERRQ(ierr);
1603   ierr = VecScatterBegin(mat_ctx->l2g_lambda,mat_ctx->lambda_local,fetidp_flux_rhs,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1604   ierr = VecScatterEnd(mat_ctx->l2g_lambda,mat_ctx->lambda_local,fetidp_flux_rhs,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1605   PetscFunctionReturn(0);
1606 }
1607 
1608 #undef __FUNCT__
1609 #define __FUNCT__ "PCBDDCMatFETIDPGetRHS"
1610 /*@
1611  PCBDDCMatFETIDPGetRHS - Compute the right-hand side for FETIDP linear system
1612 
1613    Collective
1614 
1615    Input Parameters:
1616 +  fetidp_mat   - the FETIDP matrix object obtained by calling PCBDDCCreateFETIDPOperators
1617 .  standard_rhs - the right-hand side for your linear system
1618 
1619    Output Parameters:
1620 -  fetidp_flux_rhs   - the right-hand side for the FETIDP linear system
1621 
1622    Level: developer
1623 
1624    Notes:
1625 
1626 .seealso: PCBDDC,PCBDDCCreateFETIDPOperators
1627 @*/
1628 PetscErrorCode PCBDDCMatFETIDPGetRHS(Mat fetidp_mat, Vec standard_rhs, Vec fetidp_flux_rhs)
1629 {
1630   FETIDPMat_ctx  mat_ctx;
1631   PetscErrorCode ierr;
1632 
1633   PetscFunctionBegin;
1634   ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr);
1635   ierr = PetscTryMethod(mat_ctx->pc,"PCBDDCMatFETIDPGetRHS_C",(Mat,Vec,Vec),(fetidp_mat,standard_rhs,fetidp_flux_rhs));CHKERRQ(ierr);
1636   PetscFunctionReturn(0);
1637 }
1638 /* -------------------------------------------------------------------------- */
1639 
1640 #undef __FUNCT__
1641 #define __FUNCT__ "PCBDDCMatFETIDPGetSolution_BDDC"
1642 static PetscErrorCode PCBDDCMatFETIDPGetSolution_BDDC(Mat fetidp_mat, Vec fetidp_flux_sol, Vec standard_sol)
1643 {
1644   FETIDPMat_ctx  mat_ctx;
1645   PC_IS*         pcis;
1646   PC_BDDC*       pcbddc;
1647   PetscErrorCode ierr;
1648 
1649   PetscFunctionBegin;
1650   ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr);
1651   pcis = (PC_IS*)mat_ctx->pc->data;
1652   pcbddc = (PC_BDDC*)mat_ctx->pc->data;
1653 
1654   /* apply B_delta^T */
1655   ierr = VecScatterBegin(mat_ctx->l2g_lambda,fetidp_flux_sol,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1656   ierr = VecScatterEnd  (mat_ctx->l2g_lambda,fetidp_flux_sol,mat_ctx->lambda_local,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1657   ierr = MatMultTranspose(mat_ctx->B_delta,mat_ctx->lambda_local,pcis->vec1_B);CHKERRQ(ierr);
1658   /* compute rhs for BDDC application */
1659   ierr = VecAYPX(pcis->vec1_B,-1.0,mat_ctx->temp_solution_B);CHKERRQ(ierr);
1660   if (pcbddc->switch_static) {
1661     ierr = VecCopy(mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr);
1662   }
1663   /* apply BDDC */
1664   ierr = PCBDDCApplyInterfacePreconditioner(mat_ctx->pc,PETSC_FALSE);CHKERRQ(ierr);
1665   /* put values into standard global vector */
1666   ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_B,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1667   ierr = VecScatterEnd  (pcis->global_to_B,pcis->vec1_B,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1668   if (!pcbddc->switch_static) {
1669     /* compute values into the interior if solved for the partially subassembled Schur complement */
1670     ierr = MatMult(pcis->A_IB,pcis->vec1_B,pcis->vec1_D);CHKERRQ(ierr);
1671     ierr = VecAXPY(mat_ctx->temp_solution_D,-1.0,pcis->vec1_D);CHKERRQ(ierr);
1672     ierr = KSPSolve(pcbddc->ksp_D,mat_ctx->temp_solution_D,pcis->vec1_D);CHKERRQ(ierr);
1673   }
1674   ierr = VecScatterBegin(pcis->global_to_D,pcis->vec1_D,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1675   ierr = VecScatterEnd  (pcis->global_to_D,pcis->vec1_D,standard_sol,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
1676   /* final change of basis if needed
1677      Is also sums the dirichlet part removed during RHS assembling */
1678   ierr = PCPostSolve_BDDC(mat_ctx->pc,NULL,NULL,standard_sol);CHKERRQ(ierr);
1679   PetscFunctionReturn(0);
1680 }
1681 
1682 #undef __FUNCT__
1683 #define __FUNCT__ "PCBDDCMatFETIDPGetSolution"
1684 /*@
1685  PCBDDCMatFETIDPGetSolution - Compute the physical solution from the solution of the FETIDP linear system
1686 
1687    Collective
1688 
1689    Input Parameters:
1690 +  fetidp_mat        - the FETIDP matrix obtained by calling PCBDDCCreateFETIDPOperators
1691 .  fetidp_flux_sol - the solution of the FETIDP linear system
1692 
1693    Output Parameters:
1694 -  standard_sol      - the solution defined on the physical domain
1695 
1696    Level: developer
1697 
1698    Notes:
1699 
1700 .seealso: PCBDDC,PCBDDCCreateFETIDPOperators
1701 @*/
1702 PetscErrorCode PCBDDCMatFETIDPGetSolution(Mat fetidp_mat, Vec fetidp_flux_sol, Vec standard_sol)
1703 {
1704   FETIDPMat_ctx  mat_ctx;
1705   PetscErrorCode ierr;
1706 
1707   PetscFunctionBegin;
1708   ierr = MatShellGetContext(fetidp_mat,&mat_ctx);CHKERRQ(ierr);
1709   ierr = PetscTryMethod(mat_ctx->pc,"PCBDDCMatFETIDPGetSolution_C",(Mat,Vec,Vec),(fetidp_mat,fetidp_flux_sol,standard_sol));CHKERRQ(ierr);
1710   PetscFunctionReturn(0);
1711 }
1712 /* -------------------------------------------------------------------------- */
1713 
1714 extern PetscErrorCode FETIDPMatMult(Mat,Vec,Vec);
1715 extern PetscErrorCode FETIDPMatMultTranspose(Mat,Vec,Vec);
1716 extern PetscErrorCode PCBDDCDestroyFETIDPMat(Mat);
1717 extern PetscErrorCode FETIDPPCApply(PC,Vec,Vec);
1718 extern PetscErrorCode FETIDPPCApplyTranspose(PC,Vec,Vec);
1719 extern PetscErrorCode PCBDDCDestroyFETIDPPC(PC);
1720 
1721 #undef __FUNCT__
1722 #define __FUNCT__ "PCBDDCCreateFETIDPOperators_BDDC"
1723 static PetscErrorCode PCBDDCCreateFETIDPOperators_BDDC(PC pc, Mat *fetidp_mat, PC *fetidp_pc)
1724 {
1725 
1726   FETIDPMat_ctx  fetidpmat_ctx;
1727   Mat            newmat;
1728   FETIDPPC_ctx   fetidppc_ctx;
1729   PC             newpc;
1730   MPI_Comm       comm;
1731   PetscErrorCode ierr;
1732 
1733   PetscFunctionBegin;
1734   ierr = PetscObjectGetComm((PetscObject)pc,&comm);CHKERRQ(ierr);
1735   /* FETIDP linear matrix */
1736   ierr = PCBDDCCreateFETIDPMatContext(pc,&fetidpmat_ctx);CHKERRQ(ierr);
1737   ierr = PCBDDCSetupFETIDPMatContext(fetidpmat_ctx);CHKERRQ(ierr);
1738   ierr = MatCreateShell(comm,PETSC_DECIDE,PETSC_DECIDE,fetidpmat_ctx->n_lambda,fetidpmat_ctx->n_lambda,fetidpmat_ctx,&newmat);CHKERRQ(ierr);
1739   ierr = MatShellSetOperation(newmat,MATOP_MULT,(void (*)(void))FETIDPMatMult);CHKERRQ(ierr);
1740   ierr = MatShellSetOperation(newmat,MATOP_MULT_TRANSPOSE,(void (*)(void))FETIDPMatMultTranspose);CHKERRQ(ierr);
1741   ierr = MatShellSetOperation(newmat,MATOP_DESTROY,(void (*)(void))PCBDDCDestroyFETIDPMat);CHKERRQ(ierr);
1742   ierr = MatSetUp(newmat);CHKERRQ(ierr);
1743   /* FETIDP preconditioner */
1744   ierr = PCBDDCCreateFETIDPPCContext(pc,&fetidppc_ctx);CHKERRQ(ierr);
1745   ierr = PCBDDCSetupFETIDPPCContext(newmat,fetidppc_ctx);CHKERRQ(ierr);
1746   ierr = PCCreate(comm,&newpc);CHKERRQ(ierr);
1747   ierr = PCSetType(newpc,PCSHELL);CHKERRQ(ierr);
1748   ierr = PCShellSetContext(newpc,fetidppc_ctx);CHKERRQ(ierr);
1749   ierr = PCShellSetApply(newpc,FETIDPPCApply);CHKERRQ(ierr);
1750   ierr = PCShellSetApplyTranspose(newpc,FETIDPPCApplyTranspose);CHKERRQ(ierr);
1751   ierr = PCShellSetDestroy(newpc,PCBDDCDestroyFETIDPPC);CHKERRQ(ierr);
1752   ierr = PCSetOperators(newpc,newmat,newmat);CHKERRQ(ierr);
1753   ierr = PCSetUp(newpc);CHKERRQ(ierr);
1754   /* return pointers for objects created */
1755   *fetidp_mat=newmat;
1756   *fetidp_pc=newpc;
1757   PetscFunctionReturn(0);
1758 }
1759 
1760 #undef __FUNCT__
1761 #define __FUNCT__ "PCBDDCCreateFETIDPOperators"
1762 /*@
1763  PCBDDCCreateFETIDPOperators - Create operators for FETIDP
1764 
1765    Collective
1766 
1767    Input Parameters:
1768 +  pc - the BDDC preconditioning context already setup
1769 
1770    Output Parameters:
1771 .  fetidp_mat - shell FETIDP matrix object
1772 .  fetidp_pc  - shell Dirichlet preconditioner for FETIDP matrix
1773 
1774    Options Database Keys:
1775 -    -fetidp_fullyredundant: use or not a fully redundant set of Lagrange multipliers
1776 
1777    Level: developer
1778 
1779    Notes:
1780      Currently the only operation provided for FETIDP matrix is MatMult
1781 
1782 .seealso: PCBDDC
1783 @*/
1784 PetscErrorCode PCBDDCCreateFETIDPOperators(PC pc, Mat *fetidp_mat, PC *fetidp_pc)
1785 {
1786   PetscErrorCode ierr;
1787 
1788   PetscFunctionBegin;
1789   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
1790   if (pc->setupcalled) {
1791     ierr = PetscUseMethod(pc,"PCBDDCCreateFETIDPOperators_C",(PC,Mat*,PC*),(pc,fetidp_mat,fetidp_pc));CHKERRQ(ierr);
1792   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"You must call PCSetup_BDDC() first \n");
1793   PetscFunctionReturn(0);
1794 }
1795 /* -------------------------------------------------------------------------- */
1796 /*MC
1797    PCBDDC - Balancing Domain Decomposition by Constraints.
1798 
1799    An implementation of the BDDC preconditioner based on
1800 
1801 .vb
1802    [1] C. R. Dohrmann. "An approximate BDDC preconditioner", Numerical Linear Algebra with Applications Volume 14, Issue 2, pages 149-168, March 2007
1803    [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
1804    [3] J. Mandel, B. Sousedik, C. R. Dohrmann. "Multispace and Multilevel BDDC", http://arxiv.org/abs/0712.3977
1805 .ve
1806 
1807    The matrix to be preconditioned (Pmat) must be of type MATIS.
1808 
1809    Currently works with MATIS matrices with local Neumann matrices of type MATSEQAIJ, MATSEQBAIJ or MATSEQSBAIJ, either with real or complex numbers.
1810 
1811    It also works with unsymmetric and indefinite problems.
1812 
1813    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.
1814 
1815    Approximate local solvers are automatically adapted for singular linear problems (see [1]) if the user has provided the nullspace using PCBDDCSetNullSpace
1816 
1817    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()
1818 
1819    Constraints can be customized by attaching a MatNullSpace object to the MATIS matrix via MatSetNearNullSpace().
1820 
1821    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.
1822 
1823    The PETSc implementation also supports multilevel BDDC [3]. Coarse grids are partitioned using MatPartitioning object.
1824 
1825    Options Database Keys:
1826 
1827 .    -pc_bddc_use_vertices <1> - use or not vertices in primal space
1828 .    -pc_bddc_use_edges <1> - use or not edges in primal space
1829 .    -pc_bddc_use_faces <0> - use or not faces in primal space
1830 .    -pc_bddc_use_change_of_basis <0> - use change of basis approach (on edges only)
1831 .    -pc_bddc_use_change_on_faces <0> - use change of basis approach on faces if change of basis has been requested
1832 .    -pc_bddc_switch_static <0> - switches from M_2 to M_3 operator (see reference article [1])
1833 .    -pc_bddc_levels <0> - maximum number of levels for multilevel
1834 .    -pc_bddc_coarsening_ratio - H/h ratio at the coarser level
1835 -    -pc_bddc_check_level <0> - set verbosity level of debugging output
1836 
1837    Options for Dirichlet, Neumann or coarse solver can be set with
1838 .vb
1839       -pc_bddc_dirichlet_
1840       -pc_bddc_neumann_
1841       -pc_bddc_coarse_
1842 .ve
1843    e.g -pc_bddc_dirichlet_ksp_type richardson -pc_bddc_dirichlet_pc_type gamg
1844 
1845    When using a multilevel approach, solvers' options at the N-th level can be specified as
1846 .vb
1847       -pc_bddc_dirichlet_lN_
1848       -pc_bddc_neumann_lN_
1849       -pc_bddc_coarse_lN_
1850 .ve
1851    Note that level number ranges from the finest 0 to the coarsest N.
1852 
1853    Level: intermediate
1854 
1855    Developer notes:
1856 
1857    New deluxe scaling operator will be available soon.
1858 
1859    Contributed by Stefano Zampini
1860 
1861 .seealso:  PCCreate(), PCSetType(), PCType (for list of available types), PC,  MATIS
1862 M*/
1863 
1864 #undef __FUNCT__
1865 #define __FUNCT__ "PCCreate_BDDC"
1866 PETSC_EXTERN PetscErrorCode PCCreate_BDDC(PC pc)
1867 {
1868   PetscErrorCode      ierr;
1869   PC_BDDC             *pcbddc;
1870 
1871   PetscFunctionBegin;
1872   /* Creates the private data structure for this preconditioner and attach it to the PC object. */
1873   ierr      = PetscNewLog(pc,&pcbddc);CHKERRQ(ierr);
1874   pc->data  = (void*)pcbddc;
1875 
1876   /* create PCIS data structure */
1877   ierr = PCISCreate(pc);CHKERRQ(ierr);
1878 
1879   /* BDDC customization */
1880   pcbddc->use_local_adj       = PETSC_TRUE;
1881   pcbddc->use_vertices        = PETSC_TRUE;
1882   pcbddc->use_edges           = PETSC_TRUE;
1883   pcbddc->use_faces           = PETSC_FALSE;
1884   pcbddc->use_change_of_basis = PETSC_FALSE;
1885   pcbddc->use_change_on_faces = PETSC_FALSE;
1886   pcbddc->switch_static       = PETSC_FALSE;
1887   pcbddc->use_nnsp_true       = PETSC_FALSE;
1888   pcbddc->use_qr_single       = PETSC_FALSE;
1889   pcbddc->dbg_flag            = 0;
1890   /* private */
1891   pcbddc->issym                      = PETSC_FALSE;
1892   pcbddc->local_primal_size          = 0;
1893   pcbddc->n_vertices                 = 0;
1894   pcbddc->n_actual_vertices          = 0;
1895   pcbddc->n_constraints              = 0;
1896   pcbddc->primal_indices_local_idxs  = 0;
1897   pcbddc->recompute_topography       = PETSC_FALSE;
1898   pcbddc->coarse_size                = -1;
1899   pcbddc->new_primal_space           = PETSC_FALSE;
1900   pcbddc->new_primal_space_local     = PETSC_FALSE;
1901   pcbddc->global_primal_indices      = 0;
1902   pcbddc->onearnullspace             = 0;
1903   pcbddc->onearnullvecs_state        = 0;
1904   pcbddc->user_primal_vertices       = 0;
1905   pcbddc->NullSpace                  = 0;
1906   pcbddc->temp_solution              = 0;
1907   pcbddc->original_rhs               = 0;
1908   pcbddc->local_mat                  = 0;
1909   pcbddc->ChangeOfBasisMatrix        = 0;
1910   pcbddc->user_ChangeOfBasisMatrix   = 0;
1911   pcbddc->new_global_mat             = 0;
1912   pcbddc->coarse_vec                 = 0;
1913   pcbddc->coarse_ksp                 = 0;
1914   pcbddc->coarse_phi_B               = 0;
1915   pcbddc->coarse_phi_D               = 0;
1916   pcbddc->coarse_psi_B               = 0;
1917   pcbddc->coarse_psi_D               = 0;
1918   pcbddc->vec1_P                     = 0;
1919   pcbddc->vec1_R                     = 0;
1920   pcbddc->vec2_R                     = 0;
1921   pcbddc->local_auxmat1              = 0;
1922   pcbddc->local_auxmat2              = 0;
1923   pcbddc->R_to_B                     = 0;
1924   pcbddc->R_to_D                     = 0;
1925   pcbddc->ksp_D                      = 0;
1926   pcbddc->ksp_R                      = 0;
1927   pcbddc->NeumannBoundaries          = 0;
1928   pcbddc->NeumannBoundariesLocal     = 0;
1929   pcbddc->DirichletBoundaries        = 0;
1930   pcbddc->DirichletBoundariesLocal   = 0;
1931   pcbddc->user_provided_isfordofs    = PETSC_FALSE;
1932   pcbddc->n_ISForDofs                = 0;
1933   pcbddc->n_ISForDofsLocal           = 0;
1934   pcbddc->ISForDofs                  = 0;
1935   pcbddc->ISForDofsLocal             = 0;
1936   pcbddc->ConstraintMatrix           = 0;
1937   pcbddc->use_exact_dirichlet_trick  = PETSC_TRUE;
1938   pcbddc->coarse_loc_to_glob         = 0;
1939   pcbddc->coarsening_ratio           = 8;
1940   pcbddc->current_level              = 0;
1941   pcbddc->max_levels                 = 0;
1942   pcbddc->use_coarse_estimates       = PETSC_FALSE;
1943   pcbddc->redistribute_coarse        = 0;
1944   pcbddc->coarse_subassembling       = 0;
1945   pcbddc->coarse_subassembling_init  = 0;
1946 
1947   /* create local graph structure */
1948   ierr = PCBDDCGraphCreate(&pcbddc->mat_graph);CHKERRQ(ierr);
1949 
1950   /* scaling */
1951   pcbddc->work_scaling          = 0;
1952   pcbddc->use_deluxe_scaling    = PETSC_FALSE;
1953 
1954   /* create sub schurs structure */
1955   ierr = PCBDDCSubSchursCreate(&pcbddc->sub_schurs);CHKERRQ(ierr);
1956   pcbddc->sub_schurs_threshold   = -1;
1957   pcbddc->sub_schurs_rebuild     = PETSC_FALSE;
1958   pcbddc->sub_schurs_layers      = -1;
1959   pcbddc->sub_schurs_use_useradj = PETSC_FALSE;
1960 
1961   pcbddc->computed_rowadj = PETSC_FALSE;
1962 
1963   /* adaptivity */
1964   pcbddc->adaptive_threshold      = -1.0;
1965   pcbddc->adaptive_invert_Stildas = PETSC_TRUE;
1966   pcbddc->adaptive_nmax           = 0;
1967   pcbddc->adaptive_nmin           = -1;
1968 
1969   /* function pointers */
1970   pc->ops->apply               = PCApply_BDDC;
1971   pc->ops->applytranspose      = PCApplyTranspose_BDDC;
1972   pc->ops->setup               = PCSetUp_BDDC;
1973   pc->ops->destroy             = PCDestroy_BDDC;
1974   pc->ops->setfromoptions      = PCSetFromOptions_BDDC;
1975   pc->ops->view                = 0;
1976   pc->ops->applyrichardson     = 0;
1977   pc->ops->applysymmetricleft  = 0;
1978   pc->ops->applysymmetricright = 0;
1979   pc->ops->presolve            = PCPreSolve_BDDC;
1980   pc->ops->postsolve           = PCPostSolve_BDDC;
1981 
1982   /* composing function */
1983   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetChangeOfBasisMat_C",PCBDDCSetChangeOfBasisMat_BDDC);CHKERRQ(ierr);
1984   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetPrimalVerticesLocalIS_C",PCBDDCSetPrimalVerticesLocalIS_BDDC);CHKERRQ(ierr);
1985   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetCoarseningRatio_C",PCBDDCSetCoarseningRatio_BDDC);CHKERRQ(ierr);
1986   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevel_C",PCBDDCSetLevel_BDDC);CHKERRQ(ierr);
1987   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetUseExactDirichlet_C",PCBDDCSetUseExactDirichlet_BDDC);CHKERRQ(ierr);
1988   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLevels_C",PCBDDCSetLevels_BDDC);CHKERRQ(ierr);
1989   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNullSpace_C",PCBDDCSetNullSpace_BDDC);CHKERRQ(ierr);
1990   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundaries_C",PCBDDCSetDirichletBoundaries_BDDC);CHKERRQ(ierr);
1991   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDirichletBoundariesLocal_C",PCBDDCSetDirichletBoundariesLocal_BDDC);CHKERRQ(ierr);
1992   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundaries_C",PCBDDCSetNeumannBoundaries_BDDC);CHKERRQ(ierr);
1993   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetNeumannBoundariesLocal_C",PCBDDCSetNeumannBoundariesLocal_BDDC);CHKERRQ(ierr);
1994   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundaries_C",PCBDDCGetDirichletBoundaries_BDDC);CHKERRQ(ierr);
1995   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetDirichletBoundariesLocal_C",PCBDDCGetDirichletBoundariesLocal_BDDC);CHKERRQ(ierr);
1996   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundaries_C",PCBDDCGetNeumannBoundaries_BDDC);CHKERRQ(ierr);
1997   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCGetNeumannBoundariesLocal_C",PCBDDCGetNeumannBoundariesLocal_BDDC);CHKERRQ(ierr);
1998   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplitting_C",PCBDDCSetDofsSplitting_BDDC);CHKERRQ(ierr);
1999   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetDofsSplittingLocal_C",PCBDDCSetDofsSplittingLocal_BDDC);CHKERRQ(ierr);
2000   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCSetLocalAdjacencyGraph_C",PCBDDCSetLocalAdjacencyGraph_BDDC);CHKERRQ(ierr);
2001   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCCreateFETIDPOperators_C",PCBDDCCreateFETIDPOperators_BDDC);CHKERRQ(ierr);
2002   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetRHS_C",PCBDDCMatFETIDPGetRHS_BDDC);CHKERRQ(ierr);
2003   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCMatFETIDPGetSolution_C",PCBDDCMatFETIDPGetSolution_BDDC);CHKERRQ(ierr);
2004   PetscFunctionReturn(0);
2005 }
2006 
2007