Liebe Gitlab-Nutzerin, lieber Gitlab-Nutzer,
es ist nun möglich sich mittels des ZIH-Logins/LDAP an unserem Dienst anzumelden. Die Konten der externen Nutzer:innen sind über den Reiter "Standard" erreichbar.
Die Administratoren


Dear Gitlab user,
it is now possible to log in to our service using the ZIH login/LDAP. The accounts of external users can be accessed via the "Standard" tab.
The administrators

PetscSolverFeti.cc 77.8 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"
Thomas Witkowski's avatar
Thomas Witkowski committed
14
#include "MatrixVector.h"
15
#include "parallel/PetscHelper.h"
16
#include "parallel/PetscSolverFeti.h"
17 18
#include "parallel/PetscSolverFetiDebug.h"
#include "parallel/PetscSolverFetiMonitor.h"
19
#include "parallel/PetscSolverFetiStructs.h"
20 21
#include "parallel/PetscSolverFetiOperators.h"
#include "parallel/PetscSolverFetiTimings.h"
22 23
#include "parallel/StdMpi.h"
#include "parallel/MpiHelper.h"
24
#include "parallel/PetscSolverGlobalMatrix.h"
25
#include "io/VtkWriter.h"
26 27 28 29 30

namespace AMDiS {

  using namespace std;

31 32
  PetscSolverFeti::PetscSolverFeti()
    : PetscSolver(),
33 34 35 36 37 38
      primalDofMap(COMPONENT_WISE),
      dualDofMap(COMPONENT_WISE),
      interfaceDofMap(COMPONENT_WISE),
      localDofMap(COMPONENT_WISE),
      lagrangeMap(COMPONENT_WISE),
      interiorDofMap(COMPONENT_WISE),
39
      schurPrimalSolver(0),
40
      multiLevelTest(false),
Thomas Witkowski's avatar
Thomas Witkowski committed
41
      subdomain(NULL),
42
      massMatrixSolver(NULL),
43 44
      meshLevel(0),
      rStartInterior(0),
Thomas Witkowski's avatar
Thomas Witkowski committed
45
      nGlobalOverallInterior(0),
Thomas Witkowski's avatar
Thomas Witkowski committed
46
      printTimings(false),
Thomas Witkowski's avatar
Thomas Witkowski committed
47
      stokesMode(false),
48
      augmentedLagrange(false),
Thomas Witkowski's avatar
Thomas Witkowski committed
49
      pressureComponent(-1)
50 51 52 53 54 55
  {
    FUNCNAME("PetscSolverFeti::PetscSolverFeti()");

    string preconditionerName = "";
    Parameters::get("parallel->solver->precon", preconditionerName);
    if (preconditionerName == "" || preconditionerName == "none") {
56
      MSG("Create FETI-DP solver with no preconditioner!\n");
57 58
      fetiPreconditioner = FETI_NONE;
    } else if (preconditionerName == "dirichlet") {
59
      MSG("Create FETI-DP solver with Dirichlet preconditioner!\n");
60 61
      fetiPreconditioner = FETI_DIRICHLET;
    } else if (preconditionerName == "lumped") {
62
      MSG("Create FETI-DP solver with lumped preconditioner!\n");
63 64
      fetiPreconditioner = FETI_LUMPED;
    } else {
Thomas Witkowski's avatar
Thomas Witkowski committed
65 66
      ERROR_EXIT("Preconditioner \"%s\" not available!\n", 
		 preconditionerName.c_str());
67
    }
Thomas Witkowski's avatar
Thomas Witkowski committed
68 69 70 71 72

    Parameters::get("parallel->feti->schur primal solver", schurPrimalSolver);
    TEST_EXIT(schurPrimalSolver == 0 || schurPrimalSolver == 1)
      ("Wrong solver \"%d\"for the Schur primal complement!\n", 
       schurPrimalSolver);
73 74

    Parameters::get("parallel->multi level test", multiLevelTest);
75 76
    if (multiLevelTest)
      meshLevel = 1;
Thomas Witkowski's avatar
Thomas Witkowski committed
77 78

    Parameters::get("parallel->print timings", printTimings);
79 80

    Parameters::get("parallel->feti->augmented lagrange", augmentedLagrange);
81 82

    Parameters::get("parallel->feti->symmetric", isSymmetric);
83 84 85
  }


86
  void PetscSolverFeti::initialize(vector<const FiniteElemSpace*> feSpaces)
87
  {
88 89
    FUNCNAME("PetscSolverFeti::initialize()");

90 91 92
    TEST_EXIT_DBG(meshLevel + 1 == meshDistributor->getMeshLevelData().getLevelNumber())
      ("Mesh hierarchy does not contain %d levels!\n", meshLevel + 1);

93
    MeshLevelData& levelData = meshDistributor->getMeshLevelData();
94
    vector<const FiniteElemSpace*>& uniqueFe = meshDistributor->getFeSpaces();
95

Thomas Witkowski's avatar
Thomas Witkowski committed
96

Thomas Witkowski's avatar
Thomas Witkowski committed
97 98 99 100 101 102
    stokesMode = false;
    Parameters::get("parallel->feti->stokes mode", stokesMode);
    if (stokesMode) {
      Parameters::get("parallel->feti->pressure component", pressureComponent);
      TEST_EXIT(pressureComponent >= 0)
	("FETI-DP in Stokes mode, no pressure component defined!\n");
Thomas Witkowski's avatar
Thomas Witkowski committed
103 104
    }
			   
Thomas Witkowski's avatar
Thomas Witkowski committed
105 106
    if (subdomain == NULL) {
      subdomain = new PetscSolverGlobalMatrix();
107
      subdomain->setSymmetric(isSymmetric);
108
      subdomain->setHandleDirichletRows(false);
109

110
      if (meshLevel == 0) {
Thomas Witkowski's avatar
Thomas Witkowski committed
111
	subdomain->setMeshDistributor(meshDistributor, 
112
				      mpiCommGlobal, mpiCommLocal);
113
      } else {
Thomas Witkowski's avatar
Thomas Witkowski committed
114
	subdomain->setMeshDistributor(meshDistributor, 
115 116
				      levelData.getMpiComm(meshLevel - 1),
				      levelData.getMpiComm(meshLevel));
Thomas Witkowski's avatar
Thomas Witkowski committed
117
	subdomain->setLevel(meshLevel);
118 119
      }
    }
120

121 122 123 124
    primalDofMap.init(levelData, feSpaces, uniqueFe);   
    dualDofMap.init(levelData, feSpaces, uniqueFe, false);
    localDofMap.init(levelData, feSpaces, uniqueFe, meshLevel != 0);
    lagrangeMap.init(levelData, feSpaces, uniqueFe);
Thomas Witkowski's avatar
Thomas Witkowski committed
125

Thomas Witkowski's avatar
Thomas Witkowski committed
126
    if (stokesMode)
Thomas Witkowski's avatar
Thomas Witkowski committed
127
      interfaceDofMap.init(levelData, feSpaces, uniqueFe);
Thomas Witkowski's avatar
Thomas Witkowski committed
128

129
    if (fetiPreconditioner == FETI_DIRICHLET) {
130 131 132
      TEST_EXIT(meshLevel == 0)
	("Dirichlet preconditioner not yet implemented for multilevel FETI-DP\n");

133
      interiorDofMap.init(levelData, feSpaces, uniqueFe, false);
134
    }
135 136 137
  }


Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
138 139 140 141 142
  void PetscSolverFeti::createDirichletData(Matrix<DOFMatrix*> &mat)
  {
    FUNCNAME("PetscSolverFeti::createDirichletData()");

    int nComponents = mat.getSize();
143 144
    for (int component = 0; component < nComponents; component++) {
      DOFMatrix* dofMat = mat[component][component];
Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
145 146
      if (!dofMat)
	continue;
147 148

      dirichletRows[component] = dofMat->getDirichletRows();
Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
149 150 151 152
    }
  }


153 154 155 156
  void PetscSolverFeti::createFetiData()
  {
    FUNCNAME("PetscSolverFeti::createFetiData()");

Thomas Witkowski's avatar
Thomas Witkowski committed
157 158
    double timeCounter = MPI::Wtime();

159 160 161
    TEST_EXIT(meshDistributor)("No mesh distributor object defined!\n");
    TEST_EXIT(meshDistributor->getFeSpaces().size() > 0)
      ("No FE space defined in mesh distributor!\n");
162

163 164
    MeshLevelData& levelData = meshDistributor->getMeshLevelData();

165 166 167 168
    primalDofMap.clear();
    dualDofMap.clear();
    lagrangeMap.clear();
    localDofMap.clear();
169
    if (fetiPreconditioner == FETI_DIRICHLET)
170 171
      interiorDofMap.clear();

172 173
    primalDofMap.setDofComm(meshDistributor->getDofComm());
    lagrangeMap.setDofComm(meshDistributor->getDofComm());
174

175 176
    primalDofMap.setMpiComm(levelData.getMpiComm(0), 0);
    dualDofMap.setMpiComm(levelData.getMpiComm(0), 0);
177
    lagrangeMap.setMpiComm(levelData.getMpiComm(0), 0);
178
    localDofMap.setMpiComm(levelData.getMpiComm(meshLevel), meshLevel);
179
    if (fetiPreconditioner == FETI_DIRICHLET)
180
      interiorDofMap.setMpiComm(levelData.getMpiComm(meshLevel), meshLevel);
181

182 183 184
    if (meshLevel == 0)
      localDofMap.setDofComm(meshDistributor->getDofComm());
    else
185 186
      localDofMap.setDofComm(meshDistributor->getDofCommSd());

Thomas Witkowski's avatar
Thomas Witkowski committed
187
    if (stokesMode) {
188 189 190 191 192
      interfaceDofMap.clear();
      interfaceDofMap.setDofComm(meshDistributor->getDofComm());
      interfaceDofMap.setMpiComm(levelData.getMpiComm(0), 0);
    }

193 194
    for (unsigned int i = 0; i < meshDistributor->getComponentSpaces().size(); i++) {
      const FiniteElemSpace *feSpace = meshDistributor->getComponentSpace(i);
Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
195
    
Thomas Witkowski's avatar
Thomas Witkowski committed
196
      createPrimals(i, feSpace);  
197

Thomas Witkowski's avatar
Thomas Witkowski committed
198
      createDuals(i, feSpace);
199

Thomas Witkowski's avatar
Thomas Witkowski committed
200
      createInterfaceNodes(i, feSpace);
201

Thomas Witkowski's avatar
Thomas Witkowski committed
202
      createIndexB(i, feSpace);     
203
    }
Thomas Witkowski's avatar
Thomas Witkowski committed
204 205 206 207

    primalDofMap.update();
    dualDofMap.update();
    localDofMap.update();
208
    if (fetiPreconditioner == FETI_DIRICHLET)
209
      interiorDofMap.update();
Thomas Witkowski's avatar
Thomas Witkowski committed
210

Thomas Witkowski's avatar
Thomas Witkowski committed
211
    if (stokesMode)
212 213
      interfaceDofMap.update();

214 215
    for (unsigned int i = 0; i < meshDistributor->getComponentSpaces().size(); i++) {
      const FiniteElemSpace *feSpace = meshDistributor->getComponentSpace(i);
Thomas Witkowski's avatar
Thomas Witkowski committed
216 217
      createLagrange(i, feSpace);
      createAugmentedLagrange(i, feSpace);
218
    }
219

220 221 222
    lagrangeMap.update();


223 224 225 226 227 228 229 230 231 232 233 234
    // === ===

    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();

235
      mpi::getDofNumbering(mpiCommGlobal, groupRowsInterior,
236 237 238 239 240 241 242 243 244
			   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);
    }

245
    MSG("FETI-DP data created on mesh level %d\n", meshLevel);
246 247
    for (unsigned int i = 0; i < meshDistributor->getComponentSpaces().size(); i++) {
      const FiniteElemSpace *feSpace = meshDistributor->getComponentSpace(i);
248 249

      MSG("FETI-DP data for %d-ith component (FE space %p):\n", i, feSpace);
Thomas Witkowski's avatar
Thomas Witkowski committed
250

251
      if (i == pressureComponent) {
Thomas Witkowski's avatar
Thomas Witkowski committed
252
	MSG("  nRankInterface = %d  nOverallInterface = %d\n",
253 254
	    interfaceDofMap[i].nRankDofs, 
	    interfaceDofMap[i].nOverallDofs);
Thomas Witkowski's avatar
Thomas Witkowski committed
255
      } else {
256
	MSG("  nRankPrimals = %d   nLocalPrimals = %d  nOverallPrimals = %d\n", 
257 258 259
	    primalDofMap[i].nRankDofs, 
	    primalDofMap[i].nLocalDofs,
	    primalDofMap[i].nOverallDofs);
Thomas Witkowski's avatar
Thomas Witkowski committed
260 261
	
	MSG("  nRankDuals = %d  nOverallDuals = %d\n",
262 263
	    dualDofMap[i].nRankDofs, 
	    dualDofMap[i].nOverallDofs);
Thomas Witkowski's avatar
Thomas Witkowski committed
264 265
	
	MSG("  nRankLagrange = %d  nOverallLagrange = %d\n",
266 267
	    lagrangeMap[i].nRankDofs, 
	    lagrangeMap[i].nOverallDofs);
Thomas Witkowski's avatar
Thomas Witkowski committed
268
      }
Thomas Witkowski's avatar
Thomas Witkowski committed
269
    }
270

Thomas Witkowski's avatar
Thomas Witkowski committed
271
    subdomain->setDofMapping(&localDofMap);
Thomas Witkowski's avatar
Thomas Witkowski committed
272 273 274
    subdomain->setCoarseSpaceDofMapping(&primalDofMap); 
    if (stokesMode)
      subdomain->setCoarseSpaceDofMapping(&interfaceDofMap, pressureComponent);
Thomas Witkowski's avatar
Thomas Witkowski committed
275 276

    if (printTimings) {
Thomas Witkowski's avatar
BLUB  
Thomas Witkowski committed
277
      MPI::COMM_WORLD.Barrier();
Thomas Witkowski's avatar
Thomas Witkowski committed
278
      timeCounter = MPI::Wtime() - timeCounter;
279
      MSG("FETI-DP timing 01: %.5f seconds (creation of basic data structures)\n", 
Thomas Witkowski's avatar
Thomas Witkowski committed
280 281
	  timeCounter);
    }
282 283 284
  }


Thomas Witkowski's avatar
Thomas Witkowski committed
285 286
  void PetscSolverFeti::createPrimals(int component,
				      const FiniteElemSpace *feSpace)
Thomas Witkowski's avatar
Thomas Witkowski committed
287
  {
288
    FUNCNAME("PetscSolverFeti::createPrimals()");  
289

290
    if (component == pressureComponent)
291 292
      return;

293 294 295
    // === Define all vertices on the interior boundaries of the macro mesh ===
    // === to be primal variables.                                          ===

Thomas Witkowski's avatar
Thomas Witkowski committed
296
    // Set of DOF indices that are considered to be primal variables.
297
    DofContainerSet& vertices = 
298
      meshDistributor->getBoundaryDofInfo(feSpace, meshLevel).geoDofs[VERTEX];
299 300

    DofIndexSet primals;
301
    for (DofContainerSet::iterator it = vertices.begin(); 
302
	 it != vertices.end(); ++it) {
303
      
304
      if (dirichletRows[component].count(**it))
Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
305
	continue;
Thomas Witkowski's avatar
Thomas Witkowski committed
306

Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
307 308
      if (meshLevel == 0) {
	primals.insert(**it);
Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
309
      } else {
310
	double e = 1e-8;
Thomas Witkowski's avatar
Thomas Witkowski committed
311 312 313
	WorldVector<double> c;
	feSpace->getMesh()->getDofIndexCoords(*it, feSpace, c);

Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
314 315 316 317 318 319 320
	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);
	}
      }
321
    }
322

323 324 325 326

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

327
    for (DofIndexSet::iterator it = primals.begin(); it != primals.end(); ++it)
328
      if (meshDistributor->getDofMap()[feSpace].isRankDof(*it)) {
Thomas Witkowski's avatar
Thomas Witkowski committed
329
	primalDofMap[component].insertRankDof(*it);
330
      } else
Thomas Witkowski's avatar
Thomas Witkowski committed
331
  	primalDofMap[component].insertNonRankDof(*it);
332 333 334
  }


Thomas Witkowski's avatar
Thomas Witkowski committed
335 336
  void PetscSolverFeti::createDuals(int component,
				    const FiniteElemSpace *feSpace)
337 338
  {
    FUNCNAME("PetscSolverFeti::createDuals()");
339

340
    if (component == pressureComponent)
341 342
      return;

343 344 345
    // === Create global index of the dual nodes on each rank. ===

    DofContainer allBoundaryDofs;
346
    meshDistributor->getAllBoundaryDofs(feSpace, meshLevel, allBoundaryDofs);
Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
347
    
348
    for (DofContainer::iterator it = allBoundaryDofs.begin();
Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
349
	 it != allBoundaryDofs.end(); ++it) {
350
      if (dirichletRows[component].count(**it))
Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
351 352
	continue;

Thomas Witkowski's avatar
Thomas Witkowski committed
353
      if (isPrimal(component, **it))
Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
354 355 356
	continue;

      if (meshLevel == 0) {
Thomas Witkowski's avatar
Thomas Witkowski committed
357
	dualDofMap[component].insertRankDof(**it);
Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
358 359
      } else {
	if (meshDistributor->getDofMapSd()[feSpace].isRankDof(**it))
Thomas Witkowski's avatar
Thomas Witkowski committed
360
	  dualDofMap[component].insertRankDof(**it);
Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
361 362
      }	  
    }
363 364 365
  }

  
Thomas Witkowski's avatar
Thomas Witkowski committed
366 367
  void PetscSolverFeti::createInterfaceNodes(int component,
					     const FiniteElemSpace *feSpace)
368 369 370
  {
    FUNCNAME("PetscSolverFeti::createInterfaceNodes()");

371
    if (component != pressureComponent)
372 373 374 375 376 377
      return;

    DofContainer allBoundaryDofs;
    meshDistributor->getAllBoundaryDofs(feSpace, meshLevel, allBoundaryDofs);

    for (DofContainer::iterator it = allBoundaryDofs.begin();
Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
378
	 it != allBoundaryDofs.end(); ++it) {
379
      if (dirichletRows[component].count(**it))
Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
380 381
	continue;      
      
382
      if (meshDistributor->getDofMap()[feSpace].isRankDof(**it))
Thomas Witkowski's avatar
Thomas Witkowski committed
383
	interfaceDofMap[component].insertRankDof(**it);
384
      else
Thomas Witkowski's avatar
Thomas Witkowski committed
385
	interfaceDofMap[component].insertNonRankDof(**it);      
Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
386
    }
387 388 389
  }


Thomas Witkowski's avatar
Thomas Witkowski committed
390 391
  void PetscSolverFeti::createLagrange(int component,
				       const FiniteElemSpace *feSpace)
392 393 394
  {
    FUNCNAME("PetscSolverFeti::createLagrange()");

395
    if (component == pressureComponent)
396 397
      return;

398 399
    boundaryDofRanks[feSpace].clear();

Thomas Witkowski's avatar
Thomas Witkowski committed
400 401 402
    // Stores for all rank owned communication DOFs, if the counterpart is
    // a rank owned DOF in its subdomain. Thus, the following map stores to
    // each rank number all DOFs that fulfill this requirenment.
Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
403
    map<int, std::set<DegreeOfFreedom> > sdRankDofs;
404

Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
405
    if (meshLevel > 0) {
406
      StdMpi<vector<int> > stdMpi(mpiCommGlobal);
407 408 409 410 411 412 413 414 415

      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
416
	  if (meshDistributor->getDofMapSd()[feSpace].isRankDof(it.getDofIndex()))
417
	    subdomainRankDofs.push_back(1);
Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
418
	  else
419 420 421 422 423 424 425 426 427 428 429 430 431 432 433
	    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
434 435
	   !it.end(); it.nextRank())
	for (; !it.endDofIter(); it.nextDof())
Thomas Witkowski's avatar
Thomas Witkowski committed
436
	  if (!isPrimal(component, it.getDofIndex()))
Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
437 438 439
	    if (stdMpi.getRecvData(it.getRank())[it.getDofCounter()] == 1)
	      sdRankDofs[it.getRank()].insert(it.getDofIndex());
    }
440

Thomas Witkowski's avatar
Thomas Witkowski committed
441
    if (dualDofMap[component].nLocalDofs == 0)
Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
442 443 444 445 446 447
      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)).         ===

448
    int mpiRank = meshDistributor->getMpiRank();
Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
449 450 451 452
    for (DofComm::Iterator it(meshDistributor->getDofComm().getSendDofs(), 
			      meshLevel, feSpace); 
	 !it.end(); it.nextRank()) {
      for (; !it.endDofIter(); it.nextDof()) {
Thomas Witkowski's avatar
Thomas Witkowski committed
453
	if (!isPrimal(component, it.getDofIndex())) {
Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
454 455
	  boundaryDofRanks[feSpace][it.getDofIndex()].insert(mpiRank);

456
 	  if (meshLevel == 0 ||
Thomas Witkowski's avatar
Thomas Witkowski committed
457
 	      (meshLevel > 0 && sdRankDofs[it.getRank()].count(it.getDofIndex())))
458
	    boundaryDofRanks[feSpace][it.getDofIndex()].insert(it.getRank());	  
459 460 461 462
	}
      }
    }

463 464 465 466

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

467
    StdMpi<vector<std::set<int> > > stdMpi(meshDistributor->getMpiComm());
468

469
    for (DofComm::Iterator it(meshDistributor->getDofComm().getSendDofs(), meshLevel, feSpace);
470 471
	 !it.end(); it.nextRank())
      for (; !it.endDofIter(); it.nextDof())
Thomas Witkowski's avatar
Thomas Witkowski committed
472
	if (!isPrimal(component, it.getDofIndex()))
473 474 475
 	  if (meshLevel == 0 ||
 	      (meshLevel > 0 && sdRankDofs[it.getRank()].count(it.getDofIndex())))
	    stdMpi.getSendData(it.getRank()).push_back(boundaryDofRanks[feSpace][it.getDofIndex()]);
476 477 478

    stdMpi.updateSendDataSize();

479
    for (DofComm::Iterator it(meshDistributor->getDofComm().getRecvDofs(), meshLevel, feSpace); 
480
	 !it.end(); it.nextRank()) {
481
      bool recvFromRank = false;
482
      for (; !it.endDofIter(); it.nextDof()) {
Thomas Witkowski's avatar
Thomas Witkowski committed
483
	if (!isPrimal(component, it.getDofIndex())) {
484 485 486
 	  if (meshLevel == 0 ||
 	      (meshLevel > 0 && 
 	       meshDistributor->getDofMapSd()[feSpace].isRankDof(it.getDofIndex()))) {
Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
487 488 489
	    recvFromRank = true;
	    break;
	  }
490
	}
491
      }
492 493

      if (recvFromRank)
494
	stdMpi.recv(it.getRank());
495
    }
496

497 498
    stdMpi.startCommunication();

499
    for (DofComm::Iterator it(meshDistributor->getDofComm().getRecvDofs(), meshLevel, feSpace); 
500
	 !it.end(); it.nextRank()) {
501
      int i = 0;
502
      for (; !it.endDofIter(); it.nextDof())
Thomas Witkowski's avatar
Thomas Witkowski committed
503
	if (!isPrimal(component, it.getDofIndex()))
504 505 506
 	  if (meshLevel == 0 ||
 	      (meshLevel > 0 && 
 	       meshDistributor->getDofMapSd()[feSpace].isRankDof(it.getDofIndex())))	    
Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
507 508
	    boundaryDofRanks[feSpace][it.getDofIndex()] = 
	      stdMpi.getRecvData(it.getRank())[i++];
509
	  else
Thomas Witkowski's avatar
Thomas Witkowski committed
510
	    lagrangeMap[component].insertNonRankDof(it.getDofIndex());
511 512
    }

Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
513

514 515 516
    // === Reserve for each dual node, on the rank that owns this node, the ===
    // === appropriate number of Lagrange constraints.                      ===

517
    int nRankLagrange = 0;
518
    DofMap& dualMap = dualDofMap[component].getMap();
519
    for (DofMap::iterator it = dualMap.begin(); it != dualMap.end(); ++it) {
520
      if (meshDistributor->getDofMap()[feSpace].isRankDof(it->first)) {
Thomas Witkowski's avatar
Thomas Witkowski committed
521
	lagrangeMap[component].insertRankDof(it->first, nRankLagrange);
522
	int degree = boundaryDofRanks[feSpace][it->first].size();
523
	nRankLagrange += (degree * (degree - 1)) / 2;
Thomas Witkowski's avatar
Thomas Witkowski committed
524
      } else {
Thomas Witkowski's avatar
Thomas Witkowski committed
525
	lagrangeMap[component].insertNonRankDof(it->first);
526 527
      }
    }
Thomas Witkowski's avatar
Thomas Witkowski committed
528
    lagrangeMap[component].nRankDofs = nRankLagrange;
529 530 531
  }


Thomas Witkowski's avatar
Thomas Witkowski committed
532 533
  void PetscSolverFeti::createAugmentedLagrange(int component,
						const FiniteElemSpace *feSpace)
534 535 536 537 538 539 540 541
  {
    FUNCNAME("PetscSolverFeti::createAugmentedLagrange()");

    if (!augmentedLagrange)
      return;
  }


Thomas Witkowski's avatar
Thomas Witkowski committed
542 543
  void PetscSolverFeti::createIndexB(int component,
				     const FiniteElemSpace *feSpace)
544
  {
545
    FUNCNAME("PetscSolverFeti::createIndexB()");
546

547
    DOFAdmin* admin = feSpace->getAdmin();
548 549 550 551

    // === 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.                                 ===
552

553
    int nLocalInterior = 0;    
554
    for (int i = 0; i < admin->getUsedSize(); i++) {
Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
555
      if (admin->isDofFree(i) ||
Thomas Witkowski's avatar
Thomas Witkowski committed
556 557 558
	  isPrimal(component, i) ||
	  isDual(component, i) ||
	  isInterface(component, i) ||
559
	  dirichletRows[component].count(i))
Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
560
	continue;      
561

Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
562
      if (meshLevel == 0) {
Thomas Witkowski's avatar
Thomas Witkowski committed
563
	localDofMap[component].insertRankDof(i, nLocalInterior);
Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
564 565
	
	if (fetiPreconditioner == FETI_DIRICHLET)
566
	  interiorDofMap[component].insertRankDof(i, nLocalInterior);
Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
567 568 569 570
	
	nLocalInterior++;	
      } else {
	if (meshDistributor->getDofMapSd()[feSpace].isRankDof(i))
Thomas Witkowski's avatar
Thomas Witkowski committed
571
	  localDofMap[component].insertRankDof(i);
Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
572
	else
Thomas Witkowski's avatar
Thomas Witkowski committed
573
	  localDofMap[component].insertNonRankDof(i);
Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
574 575 576
	
	TEST_EXIT_DBG(fetiPreconditioner == FETI_NONE)
	  ("Not yet implemnted!\n");	
577
      }
578
    }
Thomas Witkowski's avatar
FETI-DP  
Thomas Witkowski committed
579
    
580 581
    // === And finally, add the global indicies of all dual nodes. ===

582 583
    for (DofMap::iterator it = dualDofMap[component].getMap().begin();
	 it != dualDofMap[component].getMap().end(); ++it) {
Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
584
      if (meshLevel == 0) {
Thomas Witkowski's avatar
Thomas Witkowski committed
585
	localDofMap[component].insertRankDof(it->first);
Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
586
      } else {
587
	if (meshDistributor->getDofMapSd()[feSpace].isRankDof(it->first))
Thomas Witkowski's avatar
Thomas Witkowski committed
588
	  localDofMap[component].insertRankDof(it->first);
589
	else 
Thomas Witkowski's avatar
Thomas Witkowski committed
590
	  localDofMap[component].insertNonRankDof(it->first);
591
      }
Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
592
    }
593 594 595
  }


596
  void PetscSolverFeti::createMatLagrange(vector<const FiniteElemSpace*> &feSpaces)
597 598 599
  {
    FUNCNAME("PetscSolverFeti::createMatLagrange()");

Thomas Witkowski's avatar
Thomas Witkowski committed
600
    double wtime = MPI::Wtime();
601
    int mpiRank = meshDistributor->getMpiRank();
Thomas Witkowski's avatar
Thomas Witkowski committed
602

603 604
    // === Create distributed matrix for Lagrange constraints. ===

605 606 607 608 609
    MatCreateAIJ(mpiCommGlobal,
		 lagrangeMap.getRankDofs(), localDofMap.getRankDofs(),
		 lagrangeMap.getOverallDofs(), nGlobalOverallInterior,
		 2, PETSC_NULL, 2, PETSC_NULL,
		 &mat_lagrange);
610
    MatSetOption(mat_lagrange, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_FALSE);
611

612 613 614
    Vec vec_scale_lagrange;
    lagrangeMap.createVec(vec_scale_lagrange);

615 616 617 618 619 620 621
    // === 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.                                                     ===

622 623
    for (unsigned int component = 0; component < feSpaces.size(); component++) {
      DofMap &dualMap = dualDofMap[component].getMap();
624

625
      for (DofMap::iterator it = dualMap.begin(); it != dualMap.end(); ++it) {
626
	TEST_EXIT_DBG(boundaryDofRanks[feSpaces[component]].count(it->first))
Thomas Witkowski's avatar
Thomas Witkowski committed
627 628 629
	  ("Should not happen!\n");
	
	// Global index of the first Lagrange constriant for this node.
630
	int index = lagrangeMap.getMatIndex(component, it->first);
Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
631

Thomas Witkowski's avatar
Thomas Witkowski committed
632
	// Copy set of all ranks that contain this dual node.
633 634
	vector<int> W(boundaryDofRanks[feSpaces[component]][it->first].begin(), 
		      boundaryDofRanks[feSpaces[component]][it->first].end());
Thomas Witkowski's avatar
Thomas Witkowski committed
635 636
	// Number of ranks that contain this dual node.
	int degree = W.size();
Thomas Witkowski's avatar
Blub  
Thomas Witkowski committed
637 638

	TEST_EXIT_DBG(degree > 1)("Should not happen!\n");
Thomas Witkowski's avatar
Thomas Witkowski committed
639
	
640
	int counter = 0;
Thomas Witkowski's avatar
Thomas Witkowski committed
641 642 643
	for (int i = 0; i < degree; i++) {
	  for (int j = i + 1; j < degree; j++) {
	    if (W[i] == mpiRank || W[j] == mpiRank) {
644 645
	      MatSetValue(mat_lagrange, 
			  index + counter, 
646
			  localDofMap.getMatIndex(component, it->first) + rStartInterior,
647 648
			  (W[i] == mpiRank ? 1.0 : -1.0),
			  INSERT_VALUES);
649
	    }
650 651 652 653 654 655 656
	    counter++;
	  }
	}

	// === Create scaling factors for scaling the lagrange matrix, which ===
	// === is required for FETI-DP preconditioners.                      ===
	
657
	if (meshDistributor->getDofMap()[feSpaces[component]].isRankDof(it->first)) {
658 659 660 661 662 663
	  int nConstraints = (degree * (degree - 1)) / 2;
	  for (int i = 0; i < nConstraints; i++) {
	    VecSetValue(vec_scale_lagrange,
			index + i,
			1.0 / static_cast<double>(degree),
			INSERT_VALUES);
664 665 666 667 668 669 670
	  }
	}
      }
    }

    MatAssemblyBegin(mat_lagrange, MAT_FINAL_ASSEMBLY);
    MatAssemblyEnd(mat_lagrange, MAT_FINAL_ASSEMBLY);
Thomas Witkowski's avatar
Thomas Witkowski committed
671

672

Thomas Witkowski's avatar
So on  
Thomas Witkowski committed
673 674 675 676 677 678 679 680 681 682 683 684
    int nZeroRows = PetscSolverFetiDebug::testZeroRows(mat_lagrange);
    int m,n;
    MatGetSize(mat_lagrange, &m ,&n);
    MSG("Lagrange matrix has %d zero rows and global size of %d %d!\n", nZeroRows, m, n);

    PetscViewer petscView;
    PetscViewerBinaryOpen(PETSC_COMM_WORLD, "lagrange.mat", 
			  FILE_MODE_WRITE, &petscView);
    MatView(mat_lagrange, petscView);
    PetscViewerDestroy(&petscView);


685 686 687 688 689 690 691 692 693 694 695 696 697 698 699
    // === If required, create \ref mat_lagrange_scaled ===

    VecAssemblyBegin(vec_scale_lagrange);
    VecAssemblyEnd(vec_scale_lagrange);

    if (fetiPreconditioner != FETI_NONE || stokesMode) {
      MatDuplicate(mat_lagrange, MAT_COPY_VALUES, &mat_lagrange_scaled);
      MatDiagonalScale(mat_lagrange_scaled, vec_scale_lagrange, PETSC_NULL);
    }

    VecDestroy(&vec_scale_lagrange);


    // === Print final timings. ===

Thomas Witkowski's avatar
BLUB  
Thomas Witkowski committed
700 701
    if (printTimings) {
      MPI::COMM_WORLD.Barrier();
Thomas Witkowski's avatar
Thomas Witkowski committed
702 703
      MSG("FETI-DP timing 05: %.5f seconds (creation of lagrange constraint matrix)\n", 
	  MPI::Wtime() - wtime);
Thomas Witkowski's avatar
BLUB  
Thomas Witkowski committed
704
    }
705 706
  }

707

Thomas Witkowski's avatar
Thomas Witkowski committed
708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723
  bool PetscSolverFeti::testWirebasketEdge(BoundaryObject &edge, const FiniteElemSpace *feSpace)
  {
    Element *el = edge.el;
    int i0 = el->getVertexOfEdge(edge.ithObj, 0);
    int i1 = el->getVertexOfEdge(edge.ithObj, 1);
    DegreeOfFreedom d0 = el->getDof(i0, 0);
    DegreeOfFreedom d1 = el->getDof(i1, 0);
    WorldVector<double> c0, c1;
    el->getMesh()->getDofIndexCoords(d0, feSpace, c0);
    el->getMesh()->getDofIndexCoords(d1, feSpace, c1);
    bool xe = fabs(c0[0] - c1[0]) < 1e-8;
    bool ye = fabs(c0[1] - c1[1]) < 1e-8;
    bool ze = fabs(c0[2] - c1[2]) < 1e-8;
    int counter = static_cast<int>(xe) + static_cast<int>(ye) + static_cast<int>(ze);
    return (counter == 2);
  }
724

725

726 727 728 729 730 731 732 733 734 735 736
  void PetscSolverFeti::createMatAugmentedLagrange(vector<const FiniteElemSpace*> &feSpaces)
  {
    FUNCNAME("PetscSolverFeti::createMatAugmentedLagrange()");

    if (!augmentedLagrange)
      return;

    double wtime = MPI::Wtime();

    nOverallEdges = 0;
    InteriorBoundary &intBound = meshDistributor->getIntBoundary();
Thomas Witkowski's avatar
Thomas Witkowski committed
737
    std::set<BoundaryObject> allEdges;
738
    for (InteriorBoundary::iterator it(intBound.getOwn()); !it.end(); ++it) {
739 740 741
      if ((it->rankObj.subObj == FACE ||
	   (it->rankObj.subObj == EDGE && 
	    testWirebasketEdge(it->rankObj, feSpaces[0]))) && 
742 743 744 745 746
	  allEdges.count(it->rankObj) == 0) {
	bool dirichletOnlyEdge = true;

	DofContainer edgeDofs;
	it->rankObj.el->getAllDofs(feSpaces[0], it->rankObj, edgeDofs);
747
	
748 749
	for (DofContainer::iterator dit = edgeDofs.begin();
	     dit != edgeDofs.end(); ++dit) {
750
	  if (dirichletRows[0].count(**dit) == 0) {
751 752 753 754 755 756 757 758 759
	    dirichletOnlyEdge = false;
	    break;
	  }
	}

	if (!dirichletOnlyEdge)
	  allEdges.insert(it->rankObj);
      }
    }
Thomas Witkowski's avatar
Thomas Witkowski committed
760 761

    nRankEdges = allEdges.size();    
762 763 764 765
    int rStartEdges = 0;
    mpi::getDofNumbering(mpiCommGlobal, nRankEdges, rStartEdges, nOverallEdges);

    MSG("nRankEdges = %d, nOverallEdges = %d\n", nRankEdges, nOverallEdges);
766
    
767 768 769 770 771
    nRankEdges *= feSpaces.size();
    rStartEdges *= feSpaces.size();
    nOverallEdges *= feSpaces.size();

    MatCreateAIJ(mpiCommGlobal,
772 773
		 nRankEdges, lagrangeMap.getRankDofs(),
		 nOverallEdges, lagrangeMap.getOverallDofs(),
774
		 2, PETSC_NULL, 2, PETSC_NULL, 
775 776 777
		 &mat_augmented_lagrange);
    MatSetOption(mat_augmented_lagrange, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_FALSE);

778
    int rowCounter = rStartEdges;
Thomas Witkowski's avatar
Thomas Witkowski committed
779 780
    for (std::set<BoundaryObject>::iterator edgeIt = allEdges.begin(); 
	 edgeIt != allEdges.end(); ++edgeIt) {
Thomas Witkowski's avatar
Thomas Witkowski committed
781
      for (int component = 0; component < feSpaces.size(); component++) {
Thomas Witkowski's avatar
Thomas Witkowski committed
782
	DofContainer edgeDofs;
Thomas Witkowski's avatar
Thomas Witkowski committed
783
	edgeIt->el->getAllDofs(feSpaces[component], *edgeIt, edgeDofs);
Thomas Witkowski's avatar
Thomas Witkowski committed
784 785 786
	
	for (DofContainer::iterator it = edgeDofs.begin();
	     it != edgeDofs.end(); ++it) {
Thomas Witkowski's avatar
Thomas Witkowski committed
787
	  TEST_EXIT_DBG(isPrimal(component, **it) == false)
Thomas Witkowski's avatar
Thomas Witkowski committed
788 789
	    ("Should not be primal!\n");
	  
790
	  if (dir