PetscSolverFeti.cc 46.6 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
      subDomainSolver(NULL),
193 194 195
      meshLevel(0),
      rStartInterior(0),
      nGlobalOverallInterior(0)
196 197 198 199 200 201
  {
    FUNCNAME("PetscSolverFeti::PetscSolverFeti()");

    string preconditionerName = "";
    Parameters::get("parallel->solver->precon", preconditionerName);
    if (preconditionerName == "" || preconditionerName == "none") {
202
      MSG("Create FETI-DP solver with no preconditioner!\n");
203 204
      fetiPreconditioner = FETI_NONE;
    } else if (preconditionerName == "dirichlet") {
205
      MSG("Create FETI-DP solver with Dirichlet preconditioner!\n");
206 207
      fetiPreconditioner = FETI_DIRICHLET;
    } else if (preconditionerName == "lumped") {
208
      MSG("Create FETI-DP solver with lumped preconditioner!\n");
209 210
      fetiPreconditioner = FETI_LUMPED;
    } else {
Thomas Witkowski's avatar
Thomas Witkowski committed
211 212
      ERROR_EXIT("Preconditioner \"%s\" not available!\n", 
		 preconditionerName.c_str());
213
    }
Thomas Witkowski's avatar
Thomas Witkowski committed
214 215 216 217 218

    Parameters::get("parallel->feti->schur primal solver", schurPrimalSolver);
    TEST_EXIT(schurPrimalSolver == 0 || schurPrimalSolver == 1)
      ("Wrong solver \"%d\"for the Schur primal complement!\n", 
       schurPrimalSolver);
219 220

    Parameters::get("parallel->multi level test", multiLevelTest);
221 222
    if (multiLevelTest)
      meshLevel = 1;
223 224 225
  }


226
  void PetscSolverFeti::initialize(vector<const FiniteElemSpace*> feSpaces)
227
  {
228 229
    FUNCNAME("PetscSolverFeti::initialize()");

230 231 232
    TEST_EXIT_DBG(meshLevel + 1 == meshDistributor->getMeshLevelData().getLevelNumber())
      ("Mesh hierarchy does not contain %d levels!\n", meshLevel + 1);

233 234
    MeshLevelData& levelData = meshDistributor->getMeshLevelData();

235 236 237 238 239 240 241 242 243
    if (subDomainSolver == NULL) {
      if (meshLevel == 0) {
	subDomainSolver = 
	  new SubDomainSolver(meshDistributor, mpiComm, mpiSelfComm);
      } else {
	subDomainSolver = 
	  new SubDomainSolver(meshDistributor, 
			      levelData.getMpiComm(meshLevel - 1),
			      levelData.getMpiComm(meshLevel));
244
	subDomainSolver->setLevel(meshLevel);
245 246
      }
    }
247

248 249
    primalDofMap.init(levelData,
		      feSpaces, meshDistributor->getFeSpaces(), 
250
		      true, true);
251 252
    primalDofMap.setComputeMatIndex(true);
    
253 254
    dualDofMap.init(levelData, 
		    feSpaces, meshDistributor->getFeSpaces(),
255
		    false, false);
256 257
    dualDofMap.setComputeMatIndex(true);

258 259
    lagrangeMap.init(levelData, 
		     feSpaces, meshDistributor->getFeSpaces(),
260
		     true, true);
261
    lagrangeMap.setComputeMatIndex(true);
262 263 264 265 266 267 268 269 270 271 272 273

    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);
    }
274 275

    if (fetiPreconditioner == FETI_DIRICHLET) {
276 277 278
      TEST_EXIT(meshLevel == 0)
	("Dirichlet preconditioner not yet implemented for multilevel FETI-DP\n");

279 280
      interiorDofMap.init(levelData, 
			  feSpaces,  meshDistributor->getFeSpaces(),
281
			  false, false);
282 283
      interiorDofMap.setComputeMatIndex(true);
    }
284 285 286 287 288 289 290 291 292 293
  }


  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");
294

295 296
    MeshLevelData& levelData = meshDistributor->getMeshLevelData();

297 298 299 300
    primalDofMap.clear();
    dualDofMap.clear();
    lagrangeMap.clear();
    localDofMap.clear();
301 302 303
    if (fetiPreconditioner == FETI_DIRICHLET)
      interiorDofMap.clear();

304 305
    primalDofMap.setDofComm(meshDistributor->getDofComm());
    lagrangeMap.setDofComm(meshDistributor->getDofComm());
306

307 308
    primalDofMap.setMpiComm(levelData.getMpiComm(0), 0);
    dualDofMap.setMpiComm(levelData.getMpiComm(0), 0);
309
    lagrangeMap.setMpiComm(levelData.getMpiComm(0), 0);
310
    localDofMap.setMpiComm(levelData.getMpiComm(meshLevel), meshLevel);
311 312
    if (fetiPreconditioner != FETI_NONE)
      interiorDofMap.setMpiComm(levelData.getMpiComm(meshLevel), meshLevel);
313 314 315 316

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

317 318
    for (unsigned int i = 0; i < meshDistributor->getFeSpaces().size(); i++) {
      const FiniteElemSpace *feSpace = meshDistributor->getFeSpace(i);
319

320 321
      createPrimals(feSpace);  

322
      createDuals(feSpace);      
323

324 325
      createIndexB(feSpace);
    }
Thomas Witkowski's avatar
Thomas Witkowski committed
326 327 328 329

    primalDofMap.update();
    dualDofMap.update();
    localDofMap.update();
330
    if (fetiPreconditioner != FETI_NONE)
331
      interiorDofMap.update();
Thomas Witkowski's avatar
Thomas Witkowski committed
332

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

338 339 340
    lagrangeMap.update();


341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362
    // === ===

    if (meshLevel == 0) {
      rStartInterior = 0;
      nGlobalOverallInterior = localDofMap.getOverallDofs();
    } else {
      MeshLevelData& levelData = meshDistributor->getMeshLevelData();

      int groupRowsInterior = 0;
      if (levelData.getMpiComm(1).Get_rank() == 0)
	groupRowsInterior = localDofMap.getOverallDofs();

      mpi::getDofNumbering(mpiComm, groupRowsInterior,
			   rStartInterior, nGlobalOverallInterior);

      int tmp = 0;
      if (levelData.getMpiComm(1).Get_rank() == 0)
	tmp = rStartInterior;

      levelData.getMpiComm(1).Allreduce(&tmp, &rStartInterior, 1, MPI_INT, MPI_SUM);
    }

363
    MSG("FETI-DP data created on mesh level %d\n", meshLevel);
Thomas Witkowski's avatar
Thomas Witkowski committed
364 365
    for (unsigned int i = 0; i < meshDistributor->getFeSpaces().size(); i++) {
      const FiniteElemSpace *feSpace = meshDistributor->getFeSpace(i);
366
      MSG("FETI-DP data for %d-ith FE space:\n", i);
Thomas Witkowski's avatar
Thomas Witkowski committed
367

368
      MSG("  nRankPrimals = %d   nOverallPrimals = %d\n", 
369 370
	  primalDofMap[feSpace].nRankDofs, 
	  primalDofMap[feSpace].nOverallDofs);
Thomas Witkowski's avatar
Thomas Witkowski committed
371
      
372
      MSG("  nRankDuals = %d  nOverallDuals = %d\n",
373 374
	  dualDofMap[feSpace].nRankDofs, 
	  dualDofMap[feSpace].nOverallDofs);
Thomas Witkowski's avatar
Thomas Witkowski committed
375

376
      MSG("  nRankLagrange = %d  nOverallLagrange = %d\n",
377 378
	  lagrangeMap[feSpace].nRankDofs, 
	  lagrangeMap[feSpace].nOverallDofs);
379

380
      TEST_EXIT_DBG(localDofMap[feSpace].size() + primalDofMap[feSpace].size() == 
381 382
		    static_cast<unsigned int>(feSpace->getAdmin()->getUsedDofs()))
	("Should not happen!\n");
Thomas Witkowski's avatar
Thomas Witkowski committed
383
    }
384 385

    // If multi level test, inform sub domain solver about coarse space.
386
    subDomainSolver->setDofMapping(&primalDofMap, &localDofMap);
387 388 389
  }


390
  void PetscSolverFeti::createPrimals(const FiniteElemSpace *feSpace)
Thomas Witkowski's avatar
Thomas Witkowski committed
391
  {
392
    FUNCNAME("PetscSolverFeti::createPrimals()");  
393

394 395 396
    // === Define all vertices on the interior boundaries of the macro mesh ===
    // === to be primal variables.                                          ===

397 398
    /// Set of DOF indices that are considered to be primal variables.
    
399
    DofContainerSet& vertices = 
400
      meshDistributor->getBoundaryDofInfo(feSpace, meshLevel).geoDofs[VERTEX];
401 402

    DofIndexSet primals;
403
    for (DofContainerSet::iterator it = vertices.begin(); 
404 405 406
	 it != vertices.end(); ++it) {
      WorldVector<double> c;
      feSpace->getMesh()->getDofIndexCoords(*it, feSpace, c);
Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
407

408
      double e = 1e-8;
Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
409
      if (meshLevel == 0) {
410
	primals.insert(**it);
Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
411 412 413 414 415 416 417 418
      } else {
	if (fabs(c[0]) < e || fabs(c[1]) < e ||
	    fabs(c[0] - 25.0) < e || fabs(c[1] - 25.0) < e ||
	    (fabs(c[0] - 12.5) < e && fabs(c[1] - 12.5) < e)) {
	  MSG("PRIMAL COORD %f %f\n", c[0], c[1]);
	  primals.insert(**it);
	}
      }
419
    }
420

421 422 423 424

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

425
    for (DofIndexSet::iterator it = primals.begin(); it != primals.end(); ++it)
426 427
      if (meshDistributor->getDofMap()[feSpace].isRankDof(*it))
	primalDofMap[feSpace].insertRankDof(*it);
Thomas Witkowski's avatar
FETI-DP  
Thomas Witkowski committed
428
      else
429
  	primalDofMap[feSpace].insertNonRankDof(*it);
430 431 432
  }


433
  void PetscSolverFeti::createDuals(const FiniteElemSpace *feSpace)
434 435
  {
    FUNCNAME("PetscSolverFeti::createDuals()");
436

437 438 439
    // === Create global index of the dual nodes on each rank. ===

    DofContainer allBoundaryDofs;
440
    meshDistributor->getAllBoundaryDofs(feSpace, meshLevel, allBoundaryDofs);
441 442 443 444

    for (DofContainer::iterator it = allBoundaryDofs.begin();
	 it != allBoundaryDofs.end(); ++it)
      if (!isPrimal(feSpace, **it))
445 446
	if (meshLevel == 0) {
	  dualDofMap[feSpace].insertRankDof(**it);
447 448 449 450
 	} else {
 	  if (meshDistributor->getDofMapSd()[feSpace].isRankDof(**it))
 	    dualDofMap[feSpace].insertRankDof(**it);
 	}	  
451 452 453 454 455 456 457
  }

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

458 459
    boundaryDofRanks[feSpace].clear();

Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
460 461 462 463
    // Stores for all rank own communication DOFs, if the counterpart is
    // a rank owmed DOF in its subdomain. Thus, the following map stores to
    // each rank number all DOFS that fulfill this requirenment.
    map<int, std::set<DegreeOfFreedom> > sdRankDofs;
464

Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
465
    if (meshLevel > 0) {
466 467 468 469 470 471 472 473 474 475
      StdMpi<vector<int> > stdMpi(mpiComm);

      for (DofComm::Iterator it(meshDistributor->getDofComm().getRecvDofs(), 
				meshLevel, feSpace);
	   !it.end(); it.nextRank()) {

	vector<int> subdomainRankDofs;
	subdomainRankDofs.reserve(it.getDofs().size());

	for (; !it.endDofIter(); it.nextDof()) {
Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
476
	  if (meshDistributor->getDofMapSd()[feSpace].isRankDof(it.getDofIndex()))
477
	    subdomainRankDofs.push_back(1);
Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
478
	  else
479 480 481 482 483 484 485 486 487 488 489 490 491 492 493
	    subdomainRankDofs.push_back(0);
	}

	stdMpi.send(it.getRank(), subdomainRankDofs);
      }	     

      for (DofComm::Iterator it(meshDistributor->getDofComm().getSendDofs(), 
				meshLevel, feSpace);
	   !it.end(); it.nextRank())
	stdMpi.recv(it.getRank());

      stdMpi.startCommunication();

      for (DofComm::Iterator it(meshDistributor->getDofComm().getSendDofs(), 
				meshLevel, feSpace); 
Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
494 495 496 497 498 499
	   !it.end(); it.nextRank())
	for (; !it.endDofIter(); it.nextDof())
	  if (!isPrimal(feSpace, it.getDofIndex()))
	    if (stdMpi.getRecvData(it.getRank())[it.getDofCounter()] == 1)
	      sdRankDofs[it.getRank()].insert(it.getDofIndex());
    }
500

Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
501 502 503 504 505 506 507 508 509 510 511 512 513 514
    if (dualDofMap[feSpace].nLocalDofs == 0)
      return;


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

    for (DofComm::Iterator it(meshDistributor->getDofComm().getSendDofs(), 
			      meshLevel, feSpace); 
	 !it.end(); it.nextRank()) {
      for (; !it.endDofIter(); it.nextDof()) {
	if (!isPrimal(feSpace, it.getDofIndex())) {
	  boundaryDofRanks[feSpace][it.getDofIndex()].insert(mpiRank);

515 516 517 518 519
 	  if (meshLevel == 0 ||
 	      (meshLevel > 0 && sdRankDofs[it.getRank()].count(it.getDofIndex()))) {
	    boundaryDofRanks[feSpace][it.getDofIndex()].insert(it.getRank());	  
 	  }

520 521 522 523
	}
      }
    }

524 525 526 527

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

528
    StdMpi<vector<std::set<int> > > stdMpi(meshDistributor->getMpiComm());
529

530
    for (DofComm::Iterator it(meshDistributor->getDofComm().getSendDofs(), meshLevel, feSpace);
531 532
	 !it.end(); it.nextRank())
      for (; !it.endDofIter(); it.nextDof())
533
	if (!isPrimal(feSpace, it.getDofIndex()))
534 535 536
 	  if (meshLevel == 0 ||
 	      (meshLevel > 0 && sdRankDofs[it.getRank()].count(it.getDofIndex())))
	    stdMpi.getSendData(it.getRank()).push_back(boundaryDofRanks[feSpace][it.getDofIndex()]);
537 538 539

    stdMpi.updateSendDataSize();

540
    for (DofComm::Iterator it(meshDistributor->getDofComm().getRecvDofs(), meshLevel, feSpace); 
541
	 !it.end(); it.nextRank()) {
542
      bool recvFromRank = false;
543
      for (; !it.endDofIter(); it.nextDof()) {
544
	if (!isPrimal(feSpace, it.getDofIndex())) {
545 546 547
 	  if (meshLevel == 0 ||
 	      (meshLevel > 0 && 
 	       meshDistributor->getDofMapSd()[feSpace].isRankDof(it.getDofIndex()))) {
Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
548 549 550
	    recvFromRank = true;
	    break;
	  }
551
	}
552
      }
553 554

      if (recvFromRank)
555
	stdMpi.recv(it.getRank());
556
    }
557

558 559
    stdMpi.startCommunication();

560
    for (DofComm::Iterator it(meshDistributor->getDofComm().getRecvDofs(), meshLevel, feSpace); 
561
	 !it.end(); it.nextRank()) {
562
      int i = 0;
563
      for (; !it.endDofIter(); it.nextDof())
564
	if (!isPrimal(feSpace, it.getDofIndex()))
565 566 567
 	  if (meshLevel == 0 ||
 	      (meshLevel > 0 && 
 	       meshDistributor->getDofMapSd()[feSpace].isRankDof(it.getDofIndex())))	    
Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
568 569
	    boundaryDofRanks[feSpace][it.getDofIndex()] = 
	      stdMpi.getRecvData(it.getRank())[i++];
570 571
	  else
	    lagrangeMap[feSpace].insertNonRankDof(it.getDofIndex());
572 573
    }

Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
574

575 576 577
    // === Reserve for each dual node, on the rank that owns this node, the ===
    // === appropriate number of Lagrange constraints.                      ===

578
    int nRankLagrange = 0;
579
    DofMap& dualMap = dualDofMap[feSpace].getMap();
580
    for (DofMap::iterator it = dualMap.begin(); it != dualMap.end(); ++it) {
581 582
      if (meshDistributor->getDofMap()[feSpace].isRankDof(it->first)) {
	lagrangeMap[feSpace].insertRankDof(it->first, nRankLagrange);
583
	int degree = boundaryDofRanks[feSpace][it->first].size();
584
	nRankLagrange += (degree * (degree - 1)) / 2;
Thomas Witkowski's avatar
Thomas Witkowski committed
585
      } else {
586
	lagrangeMap[feSpace].insertNonRankDof(it->first);
587 588
      }
    }
589
    lagrangeMap[feSpace].nRankDofs = nRankLagrange;
590 591 592
  }


593
  void PetscSolverFeti::createIndexB(const FiniteElemSpace *feSpace)
594
  {
595
    FUNCNAME("PetscSolverFeti::createIndexB()");
596

597
    DOFAdmin* admin = feSpace->getAdmin();
598 599 600 601

    // === 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.                                 ===
602

603
    int nLocalInterior = 0;    
604
    for (int i = 0; i < admin->getUsedSize(); i++) {
605
      if (admin->isDofFree(i) == false && 
606
	  isPrimal(feSpace, i) == false &&
607
	  isDual(feSpace, i) == false) {
608 609
	if (meshLevel == 0) {
	  localDofMap[feSpace].insertRankDof(i, nLocalInterior);
610

611 612 613 614 615 616 617 618 619
	  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);
620 621 622

	  TEST_EXIT_DBG(fetiPreconditioner == FETI_NONE)
	    ("Not yet implemnted!\n");
623
	}
624
      }
625
    }
Thomas Witkowski's avatar
FETI-DP  
Thomas Witkowski committed
626
    
627 628
    // === And finally, add the global indicies of all dual nodes. ===

629 630 631 632 633 634 635 636 637 638
    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);
      }
639 640 641
  }


642
  void PetscSolverFeti::createMatLagrange(vector<const FiniteElemSpace*> &feSpaces)
643 644 645
  {
    FUNCNAME("PetscSolverFeti::createMatLagrange()");

646 647
    // === Create distributed matrix for Lagrange constraints. ===

648
    MatCreateMPIAIJ(mpiComm,
Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
649 650
		    lagrangeMap.getRankDofs(), localDofMap.getRankDofs(),
		    lagrangeMap.getOverallDofs(), nGlobalOverallInterior,
651 652 653
		    2, PETSC_NULL, 2, PETSC_NULL,
		    &mat_lagrange);

654 655 656 657 658 659 660
    // === 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
661
    for (unsigned int k = 0; k < feSpaces.size(); k++) {
662
      DofMap &dualMap = dualDofMap[feSpaces[k]].getMap();
663

664
      for (DofMap::iterator it = dualMap.begin(); it != dualMap.end(); ++it) {
665
	TEST_EXIT_DBG(boundaryDofRanks[feSpaces[k]].count(it->first))
Thomas Witkowski's avatar
Thomas Witkowski committed
666 667 668
	  ("Should not happen!\n");
	
	// Global index of the first Lagrange constriant for this node.
669
	int index = lagrangeMap.getMatIndex(k, it->first);
Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
670

Thomas Witkowski's avatar
Thomas Witkowski committed
671
	// Copy set of all ranks that contain this dual node.
672 673
	vector<int> W(boundaryDofRanks[feSpaces[k]][it->first].begin(), 
		      boundaryDofRanks[feSpaces[k]][it->first].end());
Thomas Witkowski's avatar
Thomas Witkowski committed
674 675
	// Number of ranks that contain this dual node.
	int degree = W.size();
Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
676 677

	TEST_EXIT_DBG(degree > 1)("Should not happen!\n");
Thomas Witkowski's avatar
Thomas Witkowski committed
678 679 680 681
	
	for (int i = 0; i < degree; i++) {
	  for (int j = i + 1; j < degree; j++) {
	    if (W[i] == mpiRank || W[j] == mpiRank) {
Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
682 683
	      int colIndex = 
		localDofMap.getMatIndex(k, it->first) + rStartInterior;
684

685
	      double value = (W[i] == mpiRank ? 1.0 : -1.0);
686
	      MatSetValue(mat_lagrange, index, colIndex, value, INSERT_VALUES);
687
	    }
Thomas Witkowski's avatar
Thomas Witkowski committed
688
	    index++;	      
689 690 691 692 693 694 695 696 697 698
	  }
	}
      }
    }

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


699
  void PetscSolverFeti::createSchurPrimalKsp(vector<const FiniteElemSpace*> &feSpaces)
700
  {
701
    FUNCNAME("PetscSolverFeti::createSchurPrimalKsp()");
702

Thomas Witkowski's avatar
Thomas Witkowski committed
703
    if (schurPrimalSolver == 0) {
704 705
      MSG("Create iterative schur primal solver!\n");

706
      schurPrimalData.subSolver = subDomainSolver;
Thomas Witkowski's avatar
Thomas Witkowski committed
707
      
708
      VecCreateMPI(mpiComm, 
709
		   localDofMap.getRankDofs(), 
710
		   nGlobalOverallInterior,
Thomas Witkowski's avatar
Thomas Witkowski committed
711
		   &(schurPrimalData.tmp_vec_b));
712
      VecCreateMPI(mpiComm, 
713 714
		   primalDofMap.getRankDofs(), 
		   primalDofMap.getOverallDofs(),
Thomas Witkowski's avatar
Thomas Witkowski committed
715 716
		   &(schurPrimalData.tmp_vec_primal));

717
      MatCreateShell(mpiComm,
718 719 720 721
		     primalDofMap.getRankDofs(), 
		     primalDofMap.getRankDofs(), 
		     primalDofMap.getOverallDofs(), 
		     primalDofMap.getOverallDofs(),
Thomas Witkowski's avatar
Thomas Witkowski committed
722 723 724 725 726
		     &schurPrimalData, 
		     &mat_schur_primal);
      MatShellSetOperation(mat_schur_primal, MATOP_MULT, 
			   (void(*)(void))petscMultMatSchurPrimal);
      
727
      KSPCreate(mpiComm, &ksp_schur_primal);
Thomas Witkowski's avatar
Thomas Witkowski committed
728
      KSPSetOperators(ksp_schur_primal, mat_schur_primal, mat_schur_primal, SAME_NONZERO_PATTERN);
729 730
      KSPSetOptionsPrefix(ksp_schur_primal, "schur_primal_");
      KSPSetType(ksp_schur_primal, KSPGMRES);
Thomas Witkowski's avatar
Thomas Witkowski committed
731 732
      KSPSetFromOptions(ksp_schur_primal);
    } else {
733 734
      MSG("Create direct schur primal solver!\n");

735 736
      double wtime = MPI::Wtime();

737 738 739
      TEST_EXIT_DBG(meshLevel == 0)
	("Does not support for multilevel, check usage of localDofMap.\n");

740 741 742
      int nRowsRankPrimal = primalDofMap.getRankDofs();
      int nRowsOverallPrimal = primalDofMap.getOverallDofs();
      int nRowsRankB = localDofMap.getRankDofs();
743

Thomas Witkowski's avatar
Thomas Witkowski committed
744
      Mat matBPi;
745
      MatCreateMPIAIJ(mpiComm,
Thomas Witkowski's avatar
Thomas Witkowski committed
746
		      nRowsRankB, nRowsRankPrimal, 
747
		      nGlobalOverallInterior, nRowsOverallPrimal,
Thomas Witkowski's avatar
Thomas Witkowski committed
748 749
		      30, PETSC_NULL, 30, PETSC_NULL, &matBPi);
      Mat matPrimal;
750

751 752 753
      PetscInt nCols;
      const PetscInt *cols;
      const PetscScalar *values;
Thomas Witkowski's avatar
Thomas Witkowski committed
754

755 756
      map<int, vector<pair<int, double> > > mat_b_primal_cols;

757
      for (int i = 0; i < nRowsRankB; i++) {
758
	PetscInt row = localDofMap.getStartDofs() + i;
759
	MatGetRow(subDomainSolver->getMatIntCoarse(), row, &nCols, &cols, &values);
760 761 762 763 764

	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]));

765
	MatRestoreRow(subDomainSolver->getMatIntCoarse(), row, &nCols, &cols, &values);
766 767
      }

768
      TEST_EXIT(static_cast<int>(mat_b_primal_cols.size()) == 
769
		primalDofMap.getLocalDofs())
770
	("Should not happen!\n");
771

772 773 774
      for (map<int, vector<pair<int, double> > >::iterator it = mat_b_primal_cols.begin();
	   it != mat_b_primal_cols.end(); ++it) {
	Vec tmpVec;
775
	VecCreateSeq(PETSC_COMM_SELF, nRowsRankB, &tmpVec);
776 777 778 779 780 781 782 783

 	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);

784
	subDomainSolver->solve(tmpVec, tmpVec);
785

Thomas Witkowski's avatar
Thomas Witkowski committed
786
	PetscScalar *tmpValues;
787
	VecGetArray(tmpVec, &tmpValues);
788
	for (int i  = 0; i < nRowsRankB; i++)
Thomas Witkowski's avatar
Thomas Witkowski committed
789
	  MatSetValue(matBPi, 
790
		      localDofMap.getStartDofs() + i,
Thomas Witkowski's avatar
Thomas Witkowski committed
791 792 793
		      it->first,
		      tmpValues[i],
		      ADD_VALUES);
794 795 796 797 798
	VecRestoreArray(tmpVec, &tmpValues);

	VecDestroy(&tmpVec);
      }

Thomas Witkowski's avatar
Thomas Witkowski committed
799 800
      MatAssemblyBegin(matBPi, MAT_FINAL_ASSEMBLY);
      MatAssemblyEnd(matBPi, MAT_FINAL_ASSEMBLY);
801 802

      MatDuplicate(subDomainSolver->getMatCoarseCoarse(), MAT_COPY_VALUES, &mat_schur_primal);
803
      MatMatMult(subDomainSolver->getMatCoarseInt(), matBPi, MAT_INITIAL_MATRIX, PETSC_DEFAULT, &matPrimal);
804
      MatAXPY(mat_schur_primal, -1.0, matPrimal, DIFFERENT_NONZERO_PATTERN);
805 806

      MatDestroy(&matPrimal);
Thomas Witkowski's avatar
Thomas Witkowski committed
807
      MatDestroy(&matBPi);
808 809

      MatInfo minfo;
810
      MatGetInfo(mat_schur_primal, MAT_GLOBAL_SUM, &minfo);
811 812
      MSG("Schur primal matrix nnz = %f\n", minfo.nz_used);

813
      KSPCreate(mpiComm, &ksp_schur_primal);
814
      KSPSetOperators(ksp_schur_primal, mat_schur_primal, mat_schur_primal,
815
		      SAME_NONZERO_PATTERN);
816 817 818 819 820 821
      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);
822
      KSPSetFromOptions(ksp_schur_primal);
Thomas Witkowski's avatar