PetscSolverFeti.cc 42.7 KB
Newer Older
1
2
3
4
5
6
7
8
9
10
11
12
//
// Software License for AMDiS
//
// Copyright (c) 2010 Dresden University of Technology 
// All rights reserved.
// Authors: Simon Vey, Thomas Witkowski et al.
//
// This file is part of AMDiS
//
// See also license.opensource.txt in the distribution.


13
#include "AMDiS.h"
14
#include "parallel/PetscSolverFeti.h"
15
#include "parallel/PetscSolverFetiStructs.h"
16
17
#include "parallel/StdMpi.h"
#include "parallel/MpiHelper.h"
18
#include "parallel/SubDomainSolver.h"
19
#include "io/VtkWriter.h"
20
21
22
23
24

namespace AMDiS {

  using namespace std;

25
26
27
28
29
30
31
  // y = mat * x
  int petscMultMatSchurPrimal(Mat mat, Vec x, Vec y)
  {
    // S_PiPi = K_PiPi - K_PiB inv(K_BB) K_BPi

    void *ctx;
    MatShellGetContext(mat, &ctx);
32
    SchurPrimalData* data = static_cast<SchurPrimalData*>(ctx);
33

34
35
36
37
    MatMult(data->subSolver->getMatIntCoarse(), x, data->tmp_vec_b);
    data->subSolver->solveGlobal(data->tmp_vec_b, data->tmp_vec_b);
    MatMult(data->subSolver->getMatCoarseInt(), data->tmp_vec_b, data->tmp_vec_primal);
    MatMult(data->subSolver->getMatCoarseCoarse(), x, y);
38
39
40
41
42
43
44
45
46
    VecAXPBY(y, -1.0, 1.0, data->tmp_vec_primal);

    return 0;
  }


  // y = mat * x
  int petscMultMatFeti(Mat mat, Vec x, Vec y)
  {
47
48
    //    F = L inv(K_BB) trans(L) + L inv(K_BB) K_BPi inv(S_PiPi) K_PiB inv(K_BB) trans(L)
    // => F = L [I + inv(K_BB) K_BPi inv(S_PiPi) K_PiB] inv(K_BB) trans(L)
49
50
51

    void *ctx;
    MatShellGetContext(mat, &ctx);
52
    FetiData* data = static_cast<FetiData*>(ctx);
53

Thomas Witkowski's avatar
Thomas Witkowski committed
54
    MatMultTranspose(*(data->mat_lagrange), x, data->tmp_vec_b);
55
    data->subSolver->solveGlobal(data->tmp_vec_b, data->tmp_vec_b);
Thomas Witkowski's avatar
Thomas Witkowski committed
56
    MatMult(*(data->mat_lagrange), data->tmp_vec_b, data->tmp_vec_lagrange);
Thomas Witkowski's avatar
Thomas Witkowski committed
57

58
    MatMult(data->subSolver->getMatCoarseInt(), data->tmp_vec_b, data->tmp_vec_primal);
59
    KSPSolve(*(data->ksp_schur_primal), data->tmp_vec_primal, data->tmp_vec_primal);
60
   MatMult(data->subSolver->getMatIntCoarse(), data->tmp_vec_primal, data->tmp_vec_b);
61
    data->subSolver->solveGlobal(data->tmp_vec_b, data->tmp_vec_b);
Thomas Witkowski's avatar
Thomas Witkowski committed
62
    MatMult(*(data->mat_lagrange), data->tmp_vec_b, y);
63

Thomas Witkowski's avatar
Thomas Witkowski committed
64
    VecAXPBY(y, 1.0, 1.0, data->tmp_vec_lagrange);
65
66
67
68
69

    return 0;
  }


70
  // y = PC * x
71
  PetscErrorCode petscApplyFetiDirichletPrecon(PC pc, Vec x, Vec y)
72
  {
73
    // Get data for the preconditioner
74
75
    void *ctx;
    PCShellGetContext(pc, &ctx);
76
    FetiDirichletPreconData* data = static_cast<FetiDirichletPreconData*>(ctx);
77

78
    // Multiply with scaled Lagrange constraint matrix.
79
80
81
    MatMultTranspose(*(data->mat_lagrange_scaled), x, data->tmp_vec_b);


82
    // === Restriction of the B nodes to the boundary nodes. ===
83

84
85
86
87
    int nLocalB;
    int nLocalDuals;
    VecGetLocalSize(data->tmp_vec_b, &nLocalB);
    VecGetLocalSize(data->tmp_vec_duals0, &nLocalDuals);
88

89
90
91
92
    PetscScalar *local_b, *local_duals;
    VecGetArray(data->tmp_vec_b, &local_b);
    VecGetArray(data->tmp_vec_duals0, &local_duals);

93
94
95
    for (map<int, int>::iterator it = data->localToDualMap.begin();
	 it != data->localToDualMap.end(); ++it)
      local_duals[it->second] = local_b[it->first];
96
97

    VecRestoreArray(data->tmp_vec_b, &local_b);
98
    VecRestoreArray(data->tmp_vec_duals0, &local_duals);
99
100


101
    // === K_DD - K_DI inv(K_II) K_ID ===
102

103
    MatMult(*(data->mat_duals_duals), data->tmp_vec_duals0, data->tmp_vec_duals1);
104

105
    MatMult(*(data->mat_interior_duals), data->tmp_vec_duals0, data->tmp_vec_interior);
106
    KSPSolve(*(data->ksp_interior), data->tmp_vec_interior, data->tmp_vec_interior);
107
108
109
110
111
112
113
114
115
116
    MatMult(*(data->mat_duals_interior), data->tmp_vec_interior, data->tmp_vec_duals0);

    VecAXPBY(data->tmp_vec_duals0, 1.0, -1.0, data->tmp_vec_duals1);


    // === Prolongation from local dual nodes to B nodes.

    VecGetArray(data->tmp_vec_b, &local_b);
    VecGetArray(data->tmp_vec_duals0, &local_duals);

117
118
119
    for (map<int, int>::iterator it = data->localToDualMap.begin();
	 it != data->localToDualMap.end(); ++it)
      local_b[it->first] = local_duals[it->second];
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141

    VecRestoreArray(data->tmp_vec_b, &local_b);
    VecRestoreArray(data->tmp_vec_duals0, &local_duals);


    // Multiply with scaled Lagrange constraint matrix.
    MatMult(*(data->mat_lagrange_scaled), data->tmp_vec_b, y);

    return 0;
  }


  // y = PC * x
  PetscErrorCode petscApplyFetiLumpedPrecon(PC pc, Vec x, Vec y)
  {
    // Get data for the preconditioner
    void *ctx;
    PCShellGetContext(pc, &ctx);
    FetiLumpedPreconData* data = static_cast<FetiLumpedPreconData*>(ctx);

    // Multiply with scaled Lagrange constraint matrix.
    MatMultTranspose(*(data->mat_lagrange_scaled), x, data->tmp_vec_b);
142
143


144
    // === Restriction of the B nodes to the boundary nodes. ===
145

146
147
148
149
    int nLocalB;
    int nLocalDuals;
    VecGetLocalSize(data->tmp_vec_b, &nLocalB);
    VecGetLocalSize(data->tmp_vec_duals0, &nLocalDuals);
150

151
    PetscScalar *local_b, *local_duals;
152
    VecGetArray(data->tmp_vec_b, &local_b);
153
    VecGetArray(data->tmp_vec_duals0, &local_duals);
154

Thomas Witkowski's avatar
Thomas Witkowski committed
155
156
157
    for (map<int, int>::iterator it = data->localToDualMap.begin();
	 it != data->localToDualMap.end(); ++it)
      local_duals[it->second] = local_b[it->first];
158
159

    VecRestoreArray(data->tmp_vec_b, &local_b);
160
161
162
163
164
165
166
    VecRestoreArray(data->tmp_vec_duals0, &local_duals);


    // === K_DD ===

    MatMult(*(data->mat_duals_duals), data->tmp_vec_duals0, data->tmp_vec_duals1);

167

168
    // === Prolongation from local dual nodes to B nodes.
169

170
171
172
    VecGetArray(data->tmp_vec_b, &local_b);
    VecGetArray(data->tmp_vec_duals1, &local_duals);

Thomas Witkowski's avatar
Thomas Witkowski committed
173
174
175
    for (map<int, int>::iterator it = data->localToDualMap.begin();
	 it != data->localToDualMap.end(); ++it)
      local_b[it->first] = local_duals[it->second];
176

177
178
    VecRestoreArray(data->tmp_vec_b, &local_b);
    VecRestoreArray(data->tmp_vec_duals0, &local_duals);
179

180
181

    // Multiply with scaled Lagrange constraint matrix.
182
183
184
185
186
187
    MatMult(*(data->mat_lagrange_scaled), data->tmp_vec_b, y);

    return 0;
  }


188
189
  PetscSolverFeti::PetscSolverFeti()
    : PetscSolver(),
190
      schurPrimalSolver(0),
191
      multiLevelTest(false),
192
193
      subDomainSolver(NULL),
      meshLevel(0)
194
195
196
197
198
199
  {
    FUNCNAME("PetscSolverFeti::PetscSolverFeti()");

    string preconditionerName = "";
    Parameters::get("parallel->solver->precon", preconditionerName);
    if (preconditionerName == "" || preconditionerName == "none") {
200
      MSG("Create FETI-DP solver with no preconditioner!\n");
201
202
      fetiPreconditioner = FETI_NONE;
    } else if (preconditionerName == "dirichlet") {
203
      MSG("Create FETI-DP solver with Dirichlet preconditioner!\n");
204
205
      fetiPreconditioner = FETI_DIRICHLET;
    } else if (preconditionerName == "lumped") {
206
      MSG("Create FETI-DP solver with lumped preconditioner!\n");
207
208
      fetiPreconditioner = FETI_LUMPED;
    } else {
Thomas Witkowski's avatar
Thomas Witkowski committed
209
210
      ERROR_EXIT("Preconditioner \"%s\" not available!\n", 
		 preconditionerName.c_str());
211
    }
Thomas Witkowski's avatar
Thomas Witkowski committed
212
213
214
215
216

    Parameters::get("parallel->feti->schur primal solver", schurPrimalSolver);
    TEST_EXIT(schurPrimalSolver == 0 || schurPrimalSolver == 1)
      ("Wrong solver \"%d\"for the Schur primal complement!\n", 
       schurPrimalSolver);
217
218

    Parameters::get("parallel->multi level test", multiLevelTest);
219
220
    if (multiLevelTest)
      meshLevel = 1;
221
222
223
  }


224
  void PetscSolverFeti::initialize(vector<const FiniteElemSpace*> feSpaces)
225
  {
226
227
    FUNCNAME("PetscSolverFeti::initialize()");

228
229
230
    TEST_EXIT_DBG(meshLevel + 1 == meshDistributor->getMeshLevelData().getLevelNumber())
      ("Mesh hierarchy does not contain %d levels!\n", meshLevel + 1);

231
232
    MeshLevelData& levelData = meshDistributor->getMeshLevelData();

233
234
235
236
237
238
239
240
241
    if (subDomainSolver == NULL) {
      if (meshLevel == 0) {
	subDomainSolver = 
	  new SubDomainSolver(meshDistributor, mpiComm, mpiSelfComm);
      } else {
	subDomainSolver = 
	  new SubDomainSolver(meshDistributor, 
			      levelData.getMpiComm(meshLevel - 1),
			      levelData.getMpiComm(meshLevel));
242
	subDomainSolver->setLevel(meshLevel);
243
244
      }
    }
245

246
247
    primalDofMap.init(levelData,
		      feSpaces, meshDistributor->getFeSpaces(), 
248
		      true, true);
249
250
    primalDofMap.setComputeMatIndex(true);
    
251
252
    dualDofMap.init(levelData, 
		    feSpaces, meshDistributor->getFeSpaces(),
253
		    false, false);
254
255
    dualDofMap.setComputeMatIndex(true);

256
257
    lagrangeMap.init(levelData, 
		     feSpaces, meshDistributor->getFeSpaces(),
258
		     true, true);
259
    lagrangeMap.setComputeMatIndex(true);
260
261
262
263
264
265
266
267
268
269
270
271

    if (meshLevel == 0) {
      localDofMap.init(levelData, 
		       feSpaces, meshDistributor->getFeSpaces(),
		       false, false);
      localDofMap.setComputeMatIndex(true);
    } else {
      localDofMap.init(levelData, 
		       feSpaces, meshDistributor->getFeSpaces(),
		       true, true);
      localDofMap.setComputeMatIndex(true);
    }
272
273

    if (fetiPreconditioner == FETI_DIRICHLET) {
274
275
276
      TEST_EXIT(meshLevel == 0)
	("Dirichlet preconditioner not yet implemented for multilevel FETI-DP\n");

277
278
      interiorDofMap.init(levelData, 
			  feSpaces,  meshDistributor->getFeSpaces(),
279
			  false, false);
280
281
      interiorDofMap.setComputeMatIndex(true);
    }
282
283
284
285
286
287
288
289
290
291
  }


  void PetscSolverFeti::createFetiData()
  {
    FUNCNAME("PetscSolverFeti::createFetiData()");

    TEST_EXIT(meshDistributor)("No mesh distributor object defined!\n");
    TEST_EXIT(meshDistributor->getFeSpaces().size() > 0)
      ("No FE space defined in mesh distributor!\n");
292

293
294
    MeshLevelData& levelData = meshDistributor->getMeshLevelData();

295
296
297
298
    primalDofMap.clear();
    dualDofMap.clear();
    lagrangeMap.clear();
    localDofMap.clear();
299
300
301
    if (fetiPreconditioner == FETI_DIRICHLET)
      interiorDofMap.clear();

302
303
    primalDofMap.setDofComm(meshDistributor->getDofComm());
    lagrangeMap.setDofComm(meshDistributor->getDofComm());
304

305
306
307
308
    primalDofMap.setMpiComm(levelData.getMpiComm(0), 0);
    dualDofMap.setMpiComm(levelData.getMpiComm(0), 0);
    lagrangeMap.setMpiComm(levelData.getMpiComm(0), 0);    
    localDofMap.setMpiComm(levelData.getMpiComm(meshLevel), meshLevel);
309
310
    if (fetiPreconditioner != FETI_NONE)
      interiorDofMap.setMpiComm(levelData.getMpiComm(meshLevel), meshLevel);
311
312
313
314

    if (meshLevel > 0)
      localDofMap.setDofComm(meshDistributor->getDofCommSd());

315
316
    for (unsigned int i = 0; i < meshDistributor->getFeSpaces().size(); i++) {
      const FiniteElemSpace *feSpace = meshDistributor->getFeSpace(i);
317

318
319
      createPrimals(feSpace);  

320
      createDuals(feSpace);      
321

322
323
      createIndexB(feSpace);
    }
Thomas Witkowski's avatar
Thomas Witkowski committed
324
325
326
327

    primalDofMap.update();
    dualDofMap.update();
    localDofMap.update();
328
    if (fetiPreconditioner != FETI_NONE)
329
      interiorDofMap.update();
Thomas Witkowski's avatar
Thomas Witkowski committed
330

331
332
333
334
335
336
337
    for (unsigned int i = 0; i < meshDistributor->getFeSpaces().size(); i++) {
      const FiniteElemSpace *feSpace = meshDistributor->getFeSpace(i);
      createLagrange(feSpace);
    }
    lagrangeMap.update();


338
    MSG("FETI-DP data created on mesh level %d\n", meshLevel);
Thomas Witkowski's avatar
Thomas Witkowski committed
339
340
    for (unsigned int i = 0; i < meshDistributor->getFeSpaces().size(); i++) {
      const FiniteElemSpace *feSpace = meshDistributor->getFeSpace(i);
341
      MSG("FETI-DP data for %d-ith FE space:\n", i);
Thomas Witkowski's avatar
Thomas Witkowski committed
342

343
      MSG("  nRankPrimals = %d   nOverallPrimals = %d\n", 
344
345
	  primalDofMap[feSpace].nRankDofs, 
	  primalDofMap[feSpace].nOverallDofs);
Thomas Witkowski's avatar
Thomas Witkowski committed
346
      
347
      MSG("  nRankDuals = %d  nOverallDuals = %d\n",
348
349
	  dualDofMap[feSpace].nRankDofs, 
	  dualDofMap[feSpace].nOverallDofs);
Thomas Witkowski's avatar
Thomas Witkowski committed
350

351
      MSG("  nRankLagrange = %d  nOverallLagrange = %d\n",
352
353
	  lagrangeMap[feSpace].nRankDofs, 
	  lagrangeMap[feSpace].nOverallDofs);
354

355
      TEST_EXIT_DBG(localDofMap[feSpace].size() + primalDofMap[feSpace].size() == 
356
357
		    static_cast<unsigned int>(feSpace->getAdmin()->getUsedDofs()))
	("Should not happen!\n");
Thomas Witkowski's avatar
Thomas Witkowski committed
358
    }
359
360
361


    // If multi level test, inform sub domain solver about coarse space.
362
    subDomainSolver->setDofMapping(&primalDofMap, &localDofMap);
363
364
365
  }


366
  void PetscSolverFeti::createPrimals(const FiniteElemSpace *feSpace)
Thomas Witkowski's avatar
Thomas Witkowski committed
367
  {
368
    FUNCNAME("PetscSolverFeti::createPrimals()");  
369

370
371
372
    // === Define all vertices on the interior boundaries of the macro mesh ===
    // === to be primal variables.                                          ===

373
374
    /// Set of DOF indices that are considered to be primal variables.
    
375
    DofContainerSet& vertices = 
376
      meshDistributor->getBoundaryDofInfo(feSpace, meshLevel).geoDofs[VERTEX];
377
378

    DofIndexSet primals;
379
380
381
    for (DofContainerSet::iterator it = vertices.begin(); 
	 it != vertices.end(); ++it)
      primals.insert(**it);
382

383
384
385
386

    // === Calculate the number of primals that are owned by the rank and ===
    // === create local indices of the primals starting at zero.          ===

387
    for (DofIndexSet::iterator it = primals.begin(); it != primals.end(); ++it)
388
389
      if (meshDistributor->getDofMap()[feSpace].isRankDof(*it))
	primalDofMap[feSpace].insertRankDof(*it);
Thomas Witkowski's avatar
FETI-DP  
Thomas Witkowski committed
390
      else
391
  	primalDofMap[feSpace].insertNonRankDof(*it);
392
393
394
  }


395
  void PetscSolverFeti::createDuals(const FiniteElemSpace *feSpace)
396
397
  {
    FUNCNAME("PetscSolverFeti::createDuals()");
398

399
400
401
    // === Create global index of the dual nodes on each rank. ===

    DofContainer allBoundaryDofs;
402
    meshDistributor->getAllBoundaryDofs(feSpace, meshLevel, allBoundaryDofs);
403
404
405
406

    for (DofContainer::iterator it = allBoundaryDofs.begin();
	 it != allBoundaryDofs.end(); ++it)
      if (!isPrimal(feSpace, **it))
407
	dualDofMap[feSpace].insertRankDof(**it);
408
409
410
411
412
413
414
  }

  
  void PetscSolverFeti::createLagrange(const FiniteElemSpace *feSpace)
  {
    FUNCNAME("PetscSolverFeti::createLagrange()");

415
416
    boundaryDofRanks[feSpace].clear();

417
    if (dualDofMap[feSpace].nLocalDofs == 0)
418
419
      return;

420
421
    // === Create for each dual node that is owned by the rank, the set ===
    // === of ranks that contain this node (denoted by W(x_j)).         ===
422

423
    for (DofComm::Iterator it(meshDistributor->getDofComm().getSendDofs(), meshLevel, feSpace); 
424
425
	 !it.end(); it.nextRank())
      for (; !it.endDofIter(); it.nextDof()) {
426
	if (!isPrimal(feSpace, it.getDofIndex())) {
427
428
	  boundaryDofRanks[feSpace][it.getDofIndex()].insert(mpiRank);
	  boundaryDofRanks[feSpace][it.getDofIndex()].insert(it.getRank());
429
430
	}
      }
431
	
432
433
434
435

    // === Communicate these sets for all rank owned dual nodes to other ===
    // === ranks that also have this node.                               ===

436
    StdMpi<vector<std::set<int> > > stdMpi(meshDistributor->getMpiComm());
437

438
    for (DofComm::Iterator it(meshDistributor->getDofComm().getSendDofs(), meshLevel, feSpace);
439
440
	 !it.end(); it.nextRank())
      for (; !it.endDofIter(); it.nextDof())
441
	if (!isPrimal(feSpace, it.getDofIndex()))
442
	  stdMpi.getSendData(it.getRank()).push_back(boundaryDofRanks[feSpace][it.getDofIndex()]);
443
444
445

    stdMpi.updateSendDataSize();

446
    for (DofComm::Iterator it(meshDistributor->getDofComm().getRecvDofs(), meshLevel, feSpace); 
447
	 !it.end(); it.nextRank()) {
448
      bool recvFromRank = false;
449
      for (; !it.endDofIter(); it.nextDof()) {
450
	if (!isPrimal(feSpace, it.getDofIndex())) {
451
452
453
	  recvFromRank = true;
	  break;
	}
454
      }
455
456

      if (recvFromRank)
457
	stdMpi.recv(it.getRank());
458
    }
459

460
461
    stdMpi.startCommunication();

462
    for (DofComm::Iterator it(meshDistributor->getDofComm().getRecvDofs(), meshLevel, feSpace); 
463
	 !it.end(); it.nextRank()) {
464
      int i = 0;
465
      for (; !it.endDofIter(); it.nextDof())
466
	if (!isPrimal(feSpace, it.getDofIndex()))
467
	  boundaryDofRanks[feSpace][it.getDofIndex()] = 
468
	    stdMpi.getRecvData(it.getRank())[i++];
469
470
    }

471
472
473
    // === Reserve for each dual node, on the rank that owns this node, the ===
    // === appropriate number of Lagrange constraints.                      ===

474
    int nRankLagrange = 0;
475
    DofMap& dualMap = dualDofMap[feSpace].getMap();
476
    for (DofMap::iterator it = dualMap.begin(); it != dualMap.end(); ++it) {
477

478
479
      if (meshDistributor->getDofMap()[feSpace].isRankDof(it->first)) {
	lagrangeMap[feSpace].insertRankDof(it->first, nRankLagrange);
480
	int degree = boundaryDofRanks[feSpace][it->first].size();
481
	nRankLagrange += (degree * (degree - 1)) / 2;
Thomas Witkowski's avatar
Thomas Witkowski committed
482
      } else {
483
	lagrangeMap[feSpace].insertNonRankDof(it->first);
484
485
      }
    }
486
    lagrangeMap[feSpace].nRankDofs = nRankLagrange;
487
488
489
  }


490
  void PetscSolverFeti::createIndexB(const FiniteElemSpace *feSpace)
491
  {
492
    FUNCNAME("PetscSolverFeti::createIndexB()");
493

494
    DOFAdmin* admin = feSpace->getAdmin();
495
496
497
498

    // === To ensure that all interior node on each rank are listen first in ===
    // === the global index of all B nodes, insert all interior nodes first, ===
    // === without defining a correct index.                                 ===
499

500
    int nLocalInterior = 0;    
501
    for (int i = 0; i < admin->getUsedSize(); i++) {
502
      if (admin->isDofFree(i) == false && 
503
	  isPrimal(feSpace, i) == false &&
504
	  isDual(feSpace, i) == false) {
505
506
	if (meshLevel == 0) {
	  localDofMap[feSpace].insertRankDof(i, nLocalInterior);
507

508
509
510
511
512
513
514
515
516
517
	  if (fetiPreconditioner != FETI_NONE)
	    interiorDofMap[feSpace].insertRankDof(i, nLocalInterior);
	  
	  nLocalInterior++;	  
	} else {
	  if (meshDistributor->getDofMapSd()[feSpace].isRankDof(i))
	    localDofMap[feSpace].insertRankDof(i);
	  else
	    localDofMap[feSpace].insertNonRankDof(i);
	}
518
      }
519
    }
Thomas Witkowski's avatar
FETI-DP  
Thomas Witkowski committed
520
    
521
522
    // === And finally, add the global indicies of all dual nodes. ===

523
524
525
526
527
528
529
530
531
532
    for (DofMap::iterator it = dualDofMap[feSpace].getMap().begin();
	 it != dualDofMap[feSpace].getMap().end(); ++it)
      if (meshLevel == 0)
	localDofMap[feSpace].insertRankDof(it->first);
      else {
	if (meshDistributor->getDofMapSd()[feSpace].isRankDof(it->first))
	  localDofMap[feSpace].insertRankDof(it->first);
	else 
	  localDofMap[feSpace].insertNonRankDof(it->first);
      }
533
534
535
  }


536
  void PetscSolverFeti::createMatLagrange(vector<const FiniteElemSpace*> &feSpaces)
537
538
539
  {
    FUNCNAME("PetscSolverFeti::createMatLagrange()");

540
541
    // === Create distributed matrix for Lagrange constraints. ===

542
    MatCreateMPIAIJ(mpiComm,
543
544
545
546
		    lagrangeMap.getRankDofs(), 
		    localDofMap.getRankDofs(),
		    lagrangeMap.getOverallDofs(), 
		    localDofMap.getOverallDofs(),
547
548
549
		    2, PETSC_NULL, 2, PETSC_NULL,
		    &mat_lagrange);

550
551
552
553
554
555
556
    // === Create for all duals the corresponding Lagrange constraints. On ===
    // === each rank we traverse all pairs (n, m) of ranks, with n < m,    ===
    // === that contain this node. If the current rank number is r, and    ===
    // === n == r, the rank sets 1.0 for the corresponding constraint, if  ===
    // === m == r, than the rank sets -1.0 for the corresponding           ===
    // === constraint.                                                     ===

Thomas Witkowski's avatar
Thomas Witkowski committed
557
    for (unsigned int k = 0; k < feSpaces.size(); k++) {
558
      DofMap &dualMap = dualDofMap[feSpaces[k]].getMap();
559

560
      for (DofMap::iterator it = dualMap.begin(); it != dualMap.end(); ++it) {
561
	TEST_EXIT_DBG(boundaryDofRanks[feSpaces[k]].count(it->first))
Thomas Witkowski's avatar
Thomas Witkowski committed
562
563
564
	  ("Should not happen!\n");
	
	// Global index of the first Lagrange constriant for this node.
565
	int index = lagrangeMap.getMatIndex(k, it->first);
Thomas Witkowski's avatar
Thomas Witkowski committed
566
567
	
	// Copy set of all ranks that contain this dual node.
568
569
	vector<int> W(boundaryDofRanks[feSpaces[k]][it->first].begin(), 
		      boundaryDofRanks[feSpaces[k]][it->first].end());
Thomas Witkowski's avatar
Thomas Witkowski committed
570
571
572
573
574
575
	// Number of ranks that contain this dual node.
	int degree = W.size();
	
	for (int i = 0; i < degree; i++) {
	  for (int j = i + 1; j < degree; j++) {
	    if (W[i] == mpiRank || W[j] == mpiRank) {
576
	      int colIndex = localDofMap.getMatIndex(k, it->first);
577
	      double value = (W[i] == mpiRank ? 1.0 : -1.0);
578
	      MatSetValue(mat_lagrange, index, colIndex, value, INSERT_VALUES);
579
	    }
Thomas Witkowski's avatar
Thomas Witkowski committed
580
	    index++;	      
581
582
583
584
585
586
587
588
589
590
	  }
	}
      }
    }

    MatAssemblyBegin(mat_lagrange, MAT_FINAL_ASSEMBLY);
    MatAssemblyEnd(mat_lagrange, MAT_FINAL_ASSEMBLY);
  }


591
  void PetscSolverFeti::createSchurPrimalKsp(vector<const FiniteElemSpace*> &feSpaces)
592
  {
593
    FUNCNAME("PetscSolverFeti::createSchurPrimalKsp()");
594

Thomas Witkowski's avatar
Thomas Witkowski committed
595
    if (schurPrimalSolver == 0) {
596
597
      MSG("Create iterative schur primal solver!\n");

598
      schurPrimalData.subSolver = subDomainSolver;
Thomas Witkowski's avatar
Thomas Witkowski committed
599
      
600
      VecCreateMPI(mpiComm, 
601
602
		   localDofMap.getRankDofs(), 
		   localDofMap.getOverallDofs(),
Thomas Witkowski's avatar
Thomas Witkowski committed
603
		   &(schurPrimalData.tmp_vec_b));
604
      VecCreateMPI(mpiComm, 
605
606
		   primalDofMap.getRankDofs(), 
		   primalDofMap.getOverallDofs(),
Thomas Witkowski's avatar
Thomas Witkowski committed
607
608
		   &(schurPrimalData.tmp_vec_primal));

609
      MatCreateShell(mpiComm,
610
611
612
613
		     primalDofMap.getRankDofs(), 
		     primalDofMap.getRankDofs(), 
		     primalDofMap.getOverallDofs(), 
		     primalDofMap.getOverallDofs(),
Thomas Witkowski's avatar
Thomas Witkowski committed
614
615
616
617
618
		     &schurPrimalData, 
		     &mat_schur_primal);
      MatShellSetOperation(mat_schur_primal, MATOP_MULT, 
			   (void(*)(void))petscMultMatSchurPrimal);
      
619
      KSPCreate(mpiComm, &ksp_schur_primal);
Thomas Witkowski's avatar
Thomas Witkowski committed
620
      KSPSetOperators(ksp_schur_primal, mat_schur_primal, mat_schur_primal, SAME_NONZERO_PATTERN);
621
622
      KSPSetOptionsPrefix(ksp_schur_primal, "schur_primal_");
      KSPSetType(ksp_schur_primal, KSPGMRES);
Thomas Witkowski's avatar
Thomas Witkowski committed
623
624
      KSPSetFromOptions(ksp_schur_primal);
    } else {
625
626
      MSG("Create direct schur primal solver!\n");

627
628
      double wtime = MPI::Wtime();

629
630
631
632
      int nRowsRankPrimal = primalDofMap.getRankDofs();
      int nRowsOverallPrimal = primalDofMap.getOverallDofs();
      int nRowsRankB = localDofMap.getRankDofs();
      int nRowsOverallB = localDofMap.getOverallDofs();
633

Thomas Witkowski's avatar
Thomas Witkowski committed
634
      Mat matBPi;
635
      MatCreateMPIAIJ(mpiComm,
Thomas Witkowski's avatar
Thomas Witkowski committed
636
637
638
639
		      nRowsRankB, nRowsRankPrimal, 
		      nRowsOverallB, nRowsOverallPrimal,
		      30, PETSC_NULL, 30, PETSC_NULL, &matBPi);
      Mat matPrimal;
640

641
642
643
      PetscInt nCols;
      const PetscInt *cols;
      const PetscScalar *values;
Thomas Witkowski's avatar
Thomas Witkowski committed
644

645
646
      map<int, vector<pair<int, double> > > mat_b_primal_cols;

647
      for (int i = 0; i < nRowsRankB; i++) {
648
	PetscInt row = localDofMap.getStartDofs() + i;
649
	MatGetRow(subDomainSolver->getMatIntCoarse(), row, &nCols, &cols, &values);
650
651
652
653
654

	for (int j = 0; j < nCols; j++)
	  if (values[j] != 0.0)
	    mat_b_primal_cols[cols[j]].push_back(make_pair(i, values[j]));

655
	MatRestoreRow(subDomainSolver->getMatIntCoarse(), row, &nCols, &cols, &values);
656
657
      }

658
      TEST_EXIT(static_cast<int>(mat_b_primal_cols.size()) == 
659
		primalDofMap.getLocalDofs())
660
	("Should not happen!\n");
661

662
663
664
      for (map<int, vector<pair<int, double> > >::iterator it = mat_b_primal_cols.begin();
	   it != mat_b_primal_cols.end(); ++it) {
	Vec tmpVec;
665
	VecCreateSeq(PETSC_COMM_SELF, nRowsRankB, &tmpVec);
666
667
668
669
670
671
672
673

 	for (unsigned int i = 0; i < it->second.size(); i++) 
 	  VecSetValue(tmpVec, 
 		      it->second[i].first, it->second[i].second, INSERT_VALUES);

	VecAssemblyBegin(tmpVec);
	VecAssemblyEnd(tmpVec);

674
	subDomainSolver->solve(tmpVec, tmpVec);
675

Thomas Witkowski's avatar
Thomas Witkowski committed
676
	PetscScalar *tmpValues;
677
	VecGetArray(tmpVec, &tmpValues);
678
	for (int i  = 0; i < nRowsRankB; i++)
Thomas Witkowski's avatar
Thomas Witkowski committed
679
	  MatSetValue(matBPi, 
680
		      localDofMap.getStartDofs() + i,
Thomas Witkowski's avatar
Thomas Witkowski committed
681
682
683
		      it->first,
		      tmpValues[i],
		      ADD_VALUES);
684
685
686
687
688
	VecRestoreArray(tmpVec, &tmpValues);

	VecDestroy(&tmpVec);
      }

Thomas Witkowski's avatar
Thomas Witkowski committed
689
690
      MatAssemblyBegin(matBPi, MAT_FINAL_ASSEMBLY);
      MatAssemblyEnd(matBPi, MAT_FINAL_ASSEMBLY);
691
692

      MatDuplicate(subDomainSolver->getMatCoarseCoarse(), MAT_COPY_VALUES, &mat_schur_primal);
693
      MatMatMult(subDomainSolver->getMatCoarseInt(), matBPi, MAT_INITIAL_MATRIX, PETSC_DEFAULT, &matPrimal);
694
      MatAXPY(mat_schur_primal, -1.0, matPrimal, DIFFERENT_NONZERO_PATTERN);
695
696

      MatDestroy(&matPrimal);
Thomas Witkowski's avatar
Thomas Witkowski committed
697
      MatDestroy(&matBPi);
698
699

      MatInfo minfo;
700
      MatGetInfo(mat_schur_primal, MAT_GLOBAL_SUM, &minfo);
701
702
      MSG("Schur primal matrix nnz = %f\n", minfo.nz_used);

703
      KSPCreate(mpiComm, &ksp_schur_primal);
704
      KSPSetOperators(ksp_schur_primal, mat_schur_primal, mat_schur_primal,
705
		      SAME_NONZERO_PATTERN);
706
707
708
709
710
711
      KSPSetOptionsPrefix(ksp_schur_primal, "schur_primal_");
      KSPSetType(ksp_schur_primal, KSPPREONLY);
      PC pc_schur_primal;      
      KSPGetPC(ksp_schur_primal, &pc_schur_primal);
      PCSetType(pc_schur_primal, PCLU);
      PCFactorSetMatSolverPackage(pc_schur_primal, MATSOLVERMUMPS);
712
      KSPSetFromOptions(ksp_schur_primal);
Thomas Witkowski's avatar
Thomas Witkowski committed
713

714
715
      MSG("Creating Schur primal matrix needed %.5f seconds.\n",
	  MPI::Wtime() - wtime);
Thomas Witkowski's avatar
Thomas Witkowski committed
716
    }
717
718
719
720
721
722
723
  }


  void PetscSolverFeti::destroySchurPrimalKsp()
  {
    FUNCNAME("PetscSolverFeti::destroySchurPrimal()");

724
    if (schurPrimalSolver == 0) {
725
      schurPrimalData.subSolver = NULL;
726

727
728
729
      VecDestroy(&schurPrimalData.tmp_vec_b);
      VecDestroy(&schurPrimalData.tmp_vec_primal);
    }
730
731
732
    
    MatDestroy(&mat_schur_primal);
    KSPDestroy(&ksp_schur_primal);
733
734
735
  }


736
  void PetscSolverFeti::createFetiKsp(vector<const FiniteElemSpace*> &feSpaces)
737
738
739
  {
    FUNCNAME("PetscSolverFeti::createFetiKsp()");

740
741
    // === Create FETI-DP solver object. ===

742
    fetiData.mat_lagrange = &mat_lagrange;
743
    fetiData.subSolver = subDomainSolver;
744
    fetiData.ksp_schur_primal = &ksp_schur_primal;
745

746
    VecCreateMPI(mpiComm, 
747
748
		 localDofMap.getRankDofs(), 
		 localDofMap.getOverallDofs(),
Thomas Witkowski's avatar
Thomas Witkowski committed
749
		 &(fetiData.tmp_vec_b));
750
    VecCreateMPI(mpiComm,
751
752
		 lagrangeMap.getRankDofs(), 
		 lagrangeMap.getOverallDofs(),
Thomas Witkowski's avatar
Thomas Witkowski committed
753
		 &(fetiData.tmp_vec_lagrange));
754
    VecCreateMPI(mpiComm, 
755
756
		 primalDofMap.getRankDofs(), 
		 primalDofMap.getOverallDofs(),
757
		 &(fetiData.tmp_vec_primal));
758

759
    MatCreateShell(mpiComm,
760
761
762
763
		   lagrangeMap.getRankDofs(), 
		   lagrangeMap.getRankDofs(),
		   lagrangeMap.getOverallDofs(), 
		   lagrangeMap.getOverallDofs(),
764
		   &fetiData, &mat_feti);
765
766
767
    MatShellSetOperation(mat_feti, MATOP_MULT, (void(*)(void))petscMultMatFeti);


768
    KSPCreate(mpiComm, &ksp_feti);
769
    KSPSetOperators(ksp_feti, mat_feti, mat_feti, SAME_NONZERO_PATTERN);
770
771
772
    KSPSetOptionsPrefix(ksp_feti, "feti_");
    KSPSetType(ksp_feti, KSPGMRES);
    KSPSetTolerances(ksp_feti, 0, 1e-8, 1e+3, 1000);
773
    KSPSetFromOptions(ksp_feti);
774
775


776
    // === Create FETI-DP preconditioner object. ===
777

778
779
780
781
    if (fetiPreconditioner != FETI_NONE) {
      MatDuplicate(mat_lagrange, MAT_COPY_VALUES, &mat_lagrange_scaled);
      MatScale(mat_lagrange_scaled, 0.5);
    }
782

783
784
785
    switch (fetiPreconditioner) {
    case FETI_DIRICHLET:           
      KSPCreate(PETSC_COMM_SELF, &ksp_interior);
Thomas Witkowski's avatar
Thomas Witkowski committed
786
787
      KSPSetOperators(ksp_interior, mat_interior_interior, mat_interior_interior, 
		      SAME_NONZERO_PATTERN);
788
789
790
791
792
793
      KSPSetOptionsPrefix(ksp_interior, "precon_interior_");
      KSPSetType(ksp_interior, KSPPREONLY);
      PC pc_interior;
      KSPGetPC(ksp_interior, &pc_interior);
      PCSetType(pc_interior, PCLU);
      PCFactorSetMatSolverPackage(pc_interior, MATSOLVERUMFPACK);
794
795
796
797
798
799
800
801
802
      KSPSetFromOptions(ksp_interior);
            
      fetiDirichletPreconData.mat_lagrange_scaled = &mat_lagrange_scaled;
      fetiDirichletPreconData.mat_interior_interior = &mat_interior_interior;
      fetiDirichletPreconData.mat_duals_duals = &mat_duals_duals;
      fetiDirichletPreconData.mat_interior_duals = &mat_interior_duals;
      fetiDirichletPreconData.mat_duals_interior = &mat_duals_interior;
      fetiDirichletPreconData.ksp_interior = &ksp_interior;
      
803
      VecCreateMPI(mpiComm, 
804
805
		   localDofMap.getRankDofs(),
		   localDofMap.getOverallDofs(),
806
		   &(fetiDirichletPreconData.tmp_vec_b));      
807
808
809
810
811
812
      MatGetVecs(mat_duals_duals, PETSC_NULL, 
		 &(fetiDirichletPreconData.tmp_vec_duals0));
      MatGetVecs(mat_duals_duals, PETSC_NULL, 
		 &(fetiDirichletPreconData.tmp_vec_duals1));
      MatGetVecs(mat_interior_interior, PETSC_NULL, 
		 &(fetiDirichletPreconData.tmp_vec_interior));
813
814

      for (unsigned int i = 0; i < feSpaces.size(); i++) {
815
	DofMap &dualMap = dualDofMap[feSpaces[i]].getMap();
816
	for (DofMap::iterator it = dualMap.begin(); it != dualMap.end(); ++it) {
817
	  DegreeOfFreedom d = it->first;
818
819
	  int matIndexLocal = localDofMap.getLocalMatIndex(i, d);
	  int matIndexDual = dualDofMap.getLocalMatIndex(i, d);
820
821
822
823
	  fetiDirichletPreconData.localToDualMap[matIndexLocal] = matIndexDual;
	}
      }

824
825
826
827
828
829
830
831
832
833
834
      KSPGetPC(ksp_feti, &precon_feti);
      PCSetType(precon_feti, PCSHELL);
      PCShellSetContext(precon_feti, static_cast<void*>(&fetiDirichletPreconData));
      PCShellSetApply(precon_feti, petscApplyFetiDirichletPrecon);
      
      break;

    case FETI_LUMPED:
      fetiLumpedPreconData.mat_lagrange_scaled = &mat_lagrange_scaled;
      fetiLumpedPreconData.mat_duals_duals = &mat_duals_duals;

Thomas Witkowski's avatar
Thomas Witkowski committed
835
      for (unsigned int i = 0; i < feSpaces.size(); i++) {
836
	DofMap &dualMap = dualDofMap[feSpaces[i]].getMap();
837
	for (DofMap::iterator it = dualMap.begin(); it != dualMap.end(); ++it) {
Thomas Witkowski's avatar
Thomas Witkowski committed
838
	  DegreeOfFreedom d = it->first;
839
840
	  int matIndexLocal = localDofMap.getLocalMatIndex(i, d);
	  int matIndexDual = dualDofMap.getLocalMatIndex(i, d);
Thomas Witkowski's avatar
Thomas Witkowski committed
841
842
843
844
	  fetiLumpedPreconData.localToDualMap[matIndexLocal] = matIndexDual;
	}
      }

845
      VecCreateMPI(mpiComm, 
846
847
		   localDofMap.getRankDofs(),
		   localDofMap.getOverallDofs(),
848
		   &(fetiLumpedPreconData.tmp_vec_b));