DOFVector.cc 28.6 KB
Newer Older
1
#include <boost/numeric/mtl/mtl.hpp>
2
3
4
5
6
7
8
9
10
11
#include "DOFVector.h"
#include "Traverse.h"
#include "DualTraverse.h"
#include "FixVec.h"

namespace AMDiS {

  template<>
  void DOFVector<double>::coarseRestrict(RCNeighbourList& list, int n)
  {
12
13
    FUNCNAME("DOFVector<double>::coarseRestrict()");

14
    switch (coarsenOperation) {
15
16
17
18
19
20
21
    case NO_OPERATION:
      return;
      break;
    case COARSE_RESTRICT:
      (const_cast<BasisFunction*>(feSpace->getBasisFcts()))->coarseRestr(this, &list, n);
      break;
    case COARSE_INTERPOL:
22
23
      TEST_EXIT_DBG(feSpace)("Should not happen!\n");
      TEST_EXIT_DBG(feSpace->getBasisFcts())("Shoud not happen!\n");
24

25
26
27
      (const_cast<BasisFunction*>(feSpace->getBasisFcts()))->coarseInter(this, &list, n);
      break;
    default:
28
29
      WARNING("Invalid coarsen operation \"%d\" in vector \"%s\"\n", 
	      coarsenOperation, this->name.c_str());
30
31
32
    }
  }

33

34
35
36
37
38
39
  template<>
  void DOFVector<double>::refineInterpol(RCNeighbourList& list, int n)
  {
    (const_cast<BasisFunction*>(feSpace->getBasisFcts()))->refineInter(this, &list, n);
  }

40

41
42
43
  template<>
  void DOFVector<WorldVector<double> >::refineInterpol(RCNeighbourList& list, int n)
  {
44
45
46
    if (n < 1) 
      return;

47
48
    Element *el = list.getElement(0);
    int n0 = feSpace->getAdmin()->getNumberOfPreDOFs(VERTEX);
49
50
51
    DegreeOfFreedom dof0 = el->getDof(0, n0);
    DegreeOfFreedom dof1 = el->getDof(1, n0);
    DegreeOfFreedom dof_new = el->getChild(0)->getDof(feSpace->getMesh()->getDim(), n0);
52
53
54
55
56
    vec[dof_new] = vec[dof0];
    vec[dof_new] += vec[dof1];
    vec[dof_new] *= 0.5;
  }

57

58
59
60
61
62
63
64
65
66
  template<>
  DOFVector<WorldVector<double> >*
  DOFVector<double>::getGradient(DOFVector<WorldVector<double> > *grad) const 
  {
    FUNCNAME("DOFVector<double>::getGradient()");

    // define result vector
    static DOFVector<WorldVector<double> > *result = NULL;

Thomas Witkowski's avatar
Thomas Witkowski committed
67
    if (grad) {
68
69
      result = grad;
    } else {
70
      if(result && result->getFeSpace() != feSpace) {
71
72
	delete result;
	result = new DOFVector<WorldVector<double> >(feSpace, "gradient");
73
74
75
76
77
78
79
80
81
      }
    }

    Mesh *mesh = feSpace->getMesh();
    int dim = mesh->getDim();
    const BasisFunction *basFcts = feSpace->getBasisFcts();
    DOFAdmin *admin = feSpace->getAdmin();

    // count number of nodes and dofs per node
82
83
84
    std::vector<int> numNodeDOFs;
    std::vector<int> numNodePreDOFs;
    std::vector<DimVec<double>*> bary;
85

86
87
    int nNodes = 0;
    int nDofs = 0;
88

Thomas Witkowski's avatar
Thomas Witkowski committed
89
    for (int i = 0; i < dim + 1; i++) {
90
      GeoIndex geoIndex = INDEX_OF_DIM(i, dim);
91
      int nPositions = mesh->getGeo(geoIndex);
92
      int numPreDOFs = admin->getNumberOfPreDOFs(i);
93
      for (int j = 0; j < nPositions; j++) {
94
95
	int dofs = basFcts->getNumberOfDOFs(geoIndex);
	numNodeDOFs.push_back(dofs);
96
	nDofs += dofs;
97
98
	numNodePreDOFs.push_back(numPreDOFs);
      }
99
      nNodes += nPositions;
100
101
    }

102
    TEST_EXIT_DBG(nDofs == basFcts->getNumber())
103
      ("number of dofs != number of basis functions\n");
104
    
105
    for (int i = 0; i < nDofs; i++)
106
107
      bary.push_back(basFcts->getCoords(i));    

108
    ElementVector localUh(basFcts->getNumber());
109
110

    // traverse mesh
111
    std::vector<bool> visited(getUsedSize(), false);
112
    TraverseStack stack;
113
    Flag fillFlag = Mesh::CALL_LEAF_EL | Mesh::FILL_GRD_LAMBDA | Mesh::FILL_COORDS;
114
115
    ElInfo *elInfo = stack.traverseFirst(mesh, -1, fillFlag);

Thomas Witkowski's avatar
Thomas Witkowski committed
116
    while (elInfo) {
117
      const DegreeOfFreedom **dof = elInfo->getElement()->getDof();
118
      const DimVec<WorldVector<double> > &grdLambda = elInfo->getGrdLambda();
119
      getLocalVector(elInfo->getElement(), localUh);
120
121

      int localDOFNr = 0;
122
      for (int i = 0; i < nNodes; i++) { // for all nodes
Thomas Witkowski's avatar
Thomas Witkowski committed
123
	for (int j = 0; j < numNodeDOFs[i]; j++) { // for all dofs at this node
124
	  DegreeOfFreedom dofIndex = dof[i][numNodePreDOFs[i] + j];
Thomas Witkowski's avatar
Thomas Witkowski committed
125
126
127
	  if (!visited[dofIndex]) {	  
	    basFcts->evalGrdUh(*(bary[localDOFNr]), grdLambda, 
			       localUh, &((*result)[dofIndex]));
128
129
130
131
132
133
134
135
136
137
138
139
140

	    visited[dofIndex] = true;
	  }
	  localDOFNr++;
	}
      }

      elInfo = stack.traverseNext(elInfo);
    }

    return result;
  }

141

142
143
144
145
146
147
  template<>
  DOFVector<WorldVector<double> >*
  DOFVector<double>::getRecoveryGradient(DOFVector<WorldVector<double> > *grad) const 
  {
    FUNCNAME("DOFVector<double>::getRecoveryGradient()");

148
149
150
151
#ifdef _OPENMP
      ERROR_EXIT("Using static variable while using OpenMP parallelization!\n");
#endif

152
153
154
155
156
    // define result vector
    static DOFVector<WorldVector<double> > *vec = NULL;

    DOFVector<WorldVector<double> > *result = grad;

Thomas Witkowski's avatar
Thomas Witkowski committed
157
    if (!result) {
158
      if (vec && vec->getFeSpace() != feSpace) {
159
	delete vec;
160
161
	vec = NULL;
      }
162
      if (!vec)
163
	vec = new DOFVector<WorldVector<double> >(feSpace, "gradient");
164
      
165
166
167
168
169
170
171
172
173
      result = vec;
    }

    result->set(WorldVector<double>(DEFAULT_VALUE, 0.0));

    DOFVector<double> volume(feSpace, "volume");
    volume.set(0.0);

    const BasisFunction *basFcts = feSpace->getBasisFcts();
Thomas Witkowski's avatar
Thomas Witkowski committed
174
    int nPreDOFs = feSpace->getAdmin()->getNumberOfPreDOFs(0);
175
    DimVec<double> bary(dim, DEFAULT_VALUE, (1.0 / (dim + 1.0)));
Thomas Witkowski's avatar
Thomas Witkowski committed
176
    WorldVector<double> grd;
177
178

    // traverse mesh
Thomas Witkowski's avatar
Thomas Witkowski committed
179
    Mesh *mesh = feSpace->getMesh();
180
    TraverseStack stack;
Thomas Witkowski's avatar
Thomas Witkowski committed
181
182
    ElInfo *elInfo = stack.traverseFirst(mesh, -1,
					 Mesh::CALL_LEAF_EL | Mesh::FILL_DET | 
183
					 Mesh::FILL_GRD_LAMBDA | Mesh::FILL_COORDS);
184

185
    ElementVector localUh(basFcts->getNumber());
186

Thomas Witkowski's avatar
Thomas Witkowski committed
187
    while (elInfo) {
188
      double det = elInfo->getDet();
189
      const DegreeOfFreedom **dof = elInfo->getElement()->getDof();
190
      const DimVec<WorldVector<double> > &grdLambda = elInfo->getGrdLambda();
191
      getLocalVector(elInfo->getElement(), localUh);
Thomas Witkowski's avatar
Thomas Witkowski committed
192
      basFcts->evalGrdUh(bary, grdLambda, localUh, &grd);
193

Thomas Witkowski's avatar
Thomas Witkowski committed
194
      for (int i = 0; i < dim + 1; i++) {
Thomas Witkowski's avatar
Thomas Witkowski committed
195
	DegreeOfFreedom dofIndex = dof[i][nPreDOFs];
196
197
198
199
200
201
202
203
204
205
	(*result)[dofIndex] += grd * det;
	volume[dofIndex] += det;
      }

      elInfo = stack.traverseNext(elInfo);
    }

    DOFVector<double>::Iterator volIt(&volume, USED_DOFS);
    DOFVector<WorldVector<double> >::Iterator grdIt(result, USED_DOFS);

206
207
    for (volIt.reset(), grdIt.reset(); !volIt.end(); ++volIt, ++grdIt)
      if (*volIt != 0.0)
Thomas Witkowski's avatar
Thomas Witkowski committed
208
	*grdIt *= 1.0 / (*volIt);
209
210
211
212

    return result;
  }

213

214
  template<>
215
216
  const WorldVector<double> *DOFVectorBase<double>::getGrdAtQPs(const ElInfo *elInfo, 
								const Quadrature *quad,
217
								const FastQuadrature *quadFast,
218
								WorldVector<double> *grdAtQPs) const
219
220
221
  {
    FUNCNAME("DOFVector<double>::getGrdAtQPs()");
  
222
    TEST_EXIT_DBG(quad || quadFast)("neither quad nor quadFast defined\n");
223

224
225
226
    if (quad && quadFast) {
      TEST_EXIT_DBG(quad == quadFast->getQuadrature())
      	("quad != quadFast->quadrature\n");
227
228
    }

229
    TEST_EXIT_DBG(!quadFast || quadFast->getBasisFunctions() == feSpace->getBasisFcts())
230
231
232
      ("invalid basis functions");

    int dow = Global::getGeo(WORLD);
Thomas Witkowski's avatar
Thomas Witkowski committed
233
234
    int myRank = omp_get_thread_num();
    int nPoints = quadFast ? quadFast->getQuadrature()->getNumPoints() : quad->getNumPoints();
235
236
237
238
239
240
    static WorldVector<double> *grd = NULL;
    WorldVector<double> *result;

    if (grdAtQPs) {
      result = grdAtQPs;
    } else {
241
242
243
      if (grd) 
	delete [] grd;

Thomas Witkowski's avatar
Thomas Witkowski committed
244
      grd = new WorldVector<double>[nPoints];
245
      for (int i = 0; i < nPoints; i++)
246
	grd[i].set(0.0);
247
      
248
249
250
      result = grd;
    }
  
251
252
    const ElementVector& localVec = localVectors[myRank];
    getLocalVector(elInfo->getElement(), const_cast<ElementVector&>(localVec));
253

Thomas Witkowski's avatar
Thomas Witkowski committed
254
    DimVec<double> &grd1 = *grdTmp[myRank];
255
256
257
    int parts = Global::getGeo(PARTS, dim);
    const DimVec<WorldVector<double> > &grdLambda = elInfo->getGrdLambda();

258
    if (quadFast) {
Thomas Witkowski's avatar
Thomas Witkowski committed
259
      for (int i = 0; i < nPoints; i++) {
260
	for (int j = 0; j < dim + 1; j++)
261
262
	  grd1[j] = 0.0;

263
264
	for (int j = 0; j < nBasFcts; j++)
	  for (int k = 0; k < parts; k++)
265
	    grd1[k] += quadFast->getGradient(i, j, k) * localVec[j];
266
	  
267
268
	for (int l=0; l < dow; l++) {
	  result[i][l] = 0.0;
269
	  for (int k = 0; k < parts; k++)
270
271
272
	    result[i][l] += grdLambda[k][l] * grd1[k];
	}
      }
273
274

    } else {      
Thomas Witkowski's avatar
Thomas Witkowski committed
275
276
      const BasisFunction *basFcts = feSpace->getBasisFcts();
      DimVec<double>* grdPhi = grdPhis[myRank];
277

Thomas Witkowski's avatar
Thomas Witkowski committed
278
      for (int i = 0; i < nPoints; i++) {
279
	for (int j = 0; j < dim + 1; j++)
280
	  grd1[j] = 0.0;
281
282

	for (int j = 0; j < nBasFcts; j++) {
283
	  (*(basFcts->getGrdPhi(j)))(quad->getLambda(i), *grdPhi);
284
	  for (int k = 0; k < parts; k++)
285
	    grd1[k] += (*grdPhi)[k] * localVec[j];
286
287
	}

288
289
	for (int l = 0; l < dow; l++) {
	  result[i][l] = 0.0;
290
	  for (int k = 0; k < parts; k++)
291
292
293
294
	    result[i][l] += grdLambda[k][l] * grd1[k];
	}
      }
    }
295

296
297
298
    return const_cast<const WorldVector<double>*>(result);
  }

299

300
  template<>
Thomas Witkowski's avatar
Thomas Witkowski committed
301
302
303
304
305
306
307
308
309
310
  const WorldVector<double> *DOFVectorBase<double>::getGrdAtQPs(const ElInfo *smallElInfo,
								const ElInfo *largeElInfo,
								const Quadrature *quad,
								const FastQuadrature *quadFast,
								WorldVector<double> *grdAtQPs) const
  {
    FUNCNAME("DOFVector<double>::getGrdAtQPs()");
  
    TEST_EXIT_DBG(quad || quadFast)("neither quad nor quadFast defined\n");

311
    if (quad && quadFast) {
312
      TEST_EXIT_DBG(quad == quadFast->getQuadrature())("quad != quadFast->quadrature\n");
313
    }
Thomas Witkowski's avatar
Thomas Witkowski committed
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330

    TEST_EXIT_DBG(!quadFast || quadFast->getBasisFunctions() == feSpace->getBasisFcts())
      ("invalid basis functions");

    int dow = Global::getGeo(WORLD);
    int myRank = omp_get_thread_num();
    int nPoints = quadFast ? quadFast->getQuadrature()->getNumPoints() : quad->getNumPoints();
    static WorldVector<double> *grd = NULL;
    WorldVector<double> *result;

    if (grdAtQPs) {
      result = grdAtQPs;
    } else {
      if (grd) 
	delete [] grd;

      grd = new WorldVector<double>[nPoints];
331
      for (int i = 0; i < nPoints; i++)
Thomas Witkowski's avatar
Thomas Witkowski committed
332
	grd[i].set(0.0);
333

Thomas Witkowski's avatar
Thomas Witkowski committed
334
335
336
      result = grd;
    }
  
337
338
    const ElementVector& localVec = localVectors[myRank];
    getLocalVector(largeElInfo->getElement(), const_cast<ElementVector&>(localVec));
339
340

    const BasisFunction *basFcts = feSpace->getBasisFcts();    
341
    mtl::dense2D<double> &m = smallElInfo->getSubElemCoordsMat(basFcts->getDegree());
Thomas Witkowski's avatar
Thomas Witkowski committed
342
343
344
345
346
347
348
349
350

    DimVec<double> &grd1 = *grdTmp[myRank];
    int parts = Global::getGeo(PARTS, dim);
    const DimVec<WorldVector<double> > &grdLambda = largeElInfo->getGrdLambda();

    DimVec<double>* grdPhi = grdPhis[myRank];
    DimVec<double> tmp(dim, DEFAULT_VALUE, 0.0);
    
    for (int i = 0; i < nPoints; i++) {
351
      for (int j = 0; j < dim + 1; j++)
Thomas Witkowski's avatar
Thomas Witkowski committed
352
353
354
355
356
357
358
	grd1[j] = 0.0;
      
      for (int j = 0; j < nBasFcts; j++) {

	grdPhi->set(0.0);
	for (int k = 0; k < nBasFcts; k++) {
	  (*(basFcts->getGrdPhi(k)))(quad->getLambda(i), tmp);
359
	  tmp *= m[j][k];
Thomas Witkowski's avatar
Thomas Witkowski committed
360
361
362
	  *grdPhi += tmp;
	}

363
	for (int k = 0; k < parts; k++)
Thomas Witkowski's avatar
Thomas Witkowski committed
364
365
366
367
368
	  grd1[k] += (*grdPhi)[k] * localVec[j];
      }
      
      for (int l = 0; l < dow; l++) {
	result[i][l] = 0.0;
369
	for (int k = 0; k < parts; k++)
Thomas Witkowski's avatar
Thomas Witkowski committed
370
371
372
373
374
375
376
	  result[i][l] += grdLambda[k][l] * grd1[k];
      }
    }    
  
    return const_cast<const WorldVector<double>*>(result);
  }

377

Thomas Witkowski's avatar
Thomas Witkowski committed
378
379
380
  template<>
  const WorldMatrix<double> *DOFVectorBase<double>::getD2AtQPs(const ElInfo *elInfo, 
							       const Quadrature *quad,
381
382
383
384
385
							       const FastQuadrature *quadFast,
							       WorldMatrix<double>  *d2AtQPs) const
  {
    FUNCNAME("DOFVector<double>::getD2AtQPs()");
  
386
    TEST_EXIT_DBG(quad || quadFast)("neither quad nor quadFast defined\n");
387

388
389
390
    if (quad && quadFast) {
      TEST_EXIT_DBG(quad == quadFast->getQuadrature())
      	("quad != quadFast->quadrature\n");
391
392
    }

393
    TEST_EXIT_DBG(!quadFast || quadFast->getBasisFunctions() == feSpace->getBasisFcts())
394
395
      ("invalid basis functions");

396
397
    Element *el = elInfo->getElement(); 

Thomas Witkowski's avatar
Thomas Witkowski committed
398
    int myRank = omp_get_thread_num();
399
    int dow = Global::getGeo(WORLD);
Thomas Witkowski's avatar
Thomas Witkowski committed
400
    int nPoints = quadFast ? quadFast->getQuadrature()->getNumPoints() : quad->getNumPoints();
401
402
403
404
405
406
407
408

    static WorldMatrix<double> *vec = NULL;
    WorldMatrix<double> *result;

    if (d2AtQPs) {
      result = d2AtQPs;
    } else {
      if(vec) delete [] vec;
Thomas Witkowski's avatar
Thomas Witkowski committed
409
410
      vec = new WorldMatrix<double>[nPoints];
      for (int i = 0; i < nPoints; i++) {
411
412
413
414
415
	vec[i].set(0.0);
      }
      result = vec;
    }
  
416
417
    const ElementVector& localVec = localVectors[myRank];
    getLocalVector(el, const_cast<ElementVector&>(localVec));
418
419
420
421
422

    DimMat<double> D2Tmp(dim, DEFAULT_VALUE, 0.0);
    int parts = Global::getGeo(PARTS, dim);
    const DimVec<WorldVector<double> > &grdLambda = elInfo->getGrdLambda();

423
    if (quadFast) {
Thomas Witkowski's avatar
Thomas Witkowski committed
424
425
426
      for (int iq = 0; iq < nPoints; iq++) {
	for (int k = 0; k < parts; k++)
	  for (int l = 0; l < parts; l++)
427
428
	    D2Tmp[k][l] = 0.0;

Thomas Witkowski's avatar
Thomas Witkowski committed
429
430
431
432
	for (int i = 0; i < nBasFcts; i++) {
	  for (int k = 0; k < parts; k++)
	    for (int l = 0; l < parts; l++)
	      D2Tmp[k][l] += localVec[i] * quadFast->getSecDer(iq, i, k, l);
433
434
	}

Thomas Witkowski's avatar
Thomas Witkowski committed
435
436
	for (int i = 0; i < dow; i++)
	  for (int j = 0; j < dow; j++) {
437
	    result[iq][i][j] = 0.0;
Thomas Witkowski's avatar
Thomas Witkowski committed
438
439
	    for (int k = 0; k < parts; k++)
	      for (int l = 0; l < parts; l++)
440
441
442
443
		result[iq][i][j] += grdLambda[k][i]*grdLambda[l][j]*D2Tmp[k][l];
	  }
      }
    } else {
Thomas Witkowski's avatar
Thomas Witkowski committed
444
      const BasisFunction *basFcts = feSpace->getBasisFcts();
445
446
      DimMat<double>* D2Phi = D2Phis[omp_get_thread_num()];

Thomas Witkowski's avatar
Thomas Witkowski committed
447
448
449
      for (int iq = 0; iq < nPoints; iq++) {
	for (int k = 0; k < parts; k++)
	  for (int l = 0; l < parts; l++)
450
451
	    D2Tmp[k][l] = 0.0;

Thomas Witkowski's avatar
Thomas Witkowski committed
452
	for (int i = 0; i < nBasFcts; i++) {
453
	  WARNING("not tested after index correction\n");
454
	  (*(basFcts->getD2Phi(i)))(quad->getLambda(iq), *D2Phi);
455

Thomas Witkowski's avatar
Thomas Witkowski committed
456
457
	  for (int k = 0; k < parts; k++)
	    for (int l = 0; l < parts; l++)
458
	      D2Tmp[k][l] += localVec[i] * (*D2Phi)[k][l];
459
460
	}

Thomas Witkowski's avatar
Thomas Witkowski committed
461
462
	for (int i = 0; i < dow; i++)
	  for (int j = 0; j < dow; j++) {
463
	    result[iq][i][j] = 0.0;
Thomas Witkowski's avatar
Thomas Witkowski committed
464
465
	    for (int k = 0; k < parts; k++)
	      for (int l = 0; l < parts; l++)
466
		result[iq][i][j] += grdLambda[k][i] * grdLambda[l][j] * D2Tmp[k][l];
467
468
469
	  }
      }
    }
470

471
472
473
    return const_cast<const WorldMatrix<double>*>(result);
  }

474

475
476
477
  template<>
  void DOFVector<double>::interpol(DOFVector<double> *source, double factor) 
  {
478
    FUNCNAME("DOFVector<double>::interpol()");
479

480
    const FiniteElemSpace *sourceFeSpace = source->getFeSpace();
481
482
483
484
485
486
487
488
    const BasisFunction *basisFcts = feSpace->getBasisFcts();
    const BasisFunction *sourceBasisFcts = sourceFeSpace->getBasisFcts();

    int nBasisFcts = basisFcts->getNumber();
    int nSourceBasisFcts = sourceBasisFcts->getNumber();

    this->set(0.0);

Thomas Witkowski's avatar
Thomas Witkowski committed
489
    DegreeOfFreedom *myLocalIndices = localIndices[omp_get_thread_num()];
490
    ElementVector sourceLocalCoeffs(nSourceBasisFcts);
491

492
    if (feSpace->getMesh() == sourceFeSpace->getMesh()) {
493
494
495
496
497
498
      DimVec<double> *coords = NULL;
      TraverseStack stack;
      ElInfo *elInfo = stack.traverseFirst(feSpace->getMesh(), -1,
					   Mesh::CALL_LEAF_EL | 
					   Mesh::FILL_COORDS);

499
      while (elInfo) {
500
501
	Element *el = elInfo->getElement();

Thomas Witkowski's avatar
Thomas Witkowski committed
502
	basisFcts->getLocalIndices(el, feSpace->getAdmin(), myLocalIndices);
503
504
	source->getLocalVector(el, sourceLocalCoeffs);

505
	for (int i = 0; i < nBasisFcts; i++) {
Thomas Witkowski's avatar
Thomas Witkowski committed
506
	  if (vec[myLocalIndices[i]] == 0.0) {
507
	    coords = basisFcts->getCoords(i);
Thomas Witkowski's avatar
Thomas Witkowski committed
508
	    vec[myLocalIndices[i]] = sourceBasisFcts->evalUh(*coords, sourceLocalCoeffs) * factor;
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
	  }
	}
	elInfo = stack.traverseNext(elInfo);
      }
    } else {
      DimVec<double> coords2(feSpace->getMesh()->getDim(), NO_INIT);
      DualTraverse dualStack;
      ElInfo *elInfo1, *elInfo2;
      ElInfo *elInfoSmall, *elInfoLarge;
      WorldVector<double> worldVec;

      bool nextTraverse = dualStack.traverseFirst(feSpace->getMesh(),
						  sourceFeSpace->getMesh(),
						  -1, -1,
						  Mesh::CALL_LEAF_EL | Mesh::FILL_COORDS,
						  Mesh::CALL_LEAF_EL | Mesh::FILL_COORDS,
						  &elInfo1, &elInfo2,
						  &elInfoSmall, &elInfoLarge);
527
      while (nextTraverse) {     
528
	basisFcts->getLocalIndices(elInfo1->getElement(), feSpace->getAdmin(), 
Thomas Witkowski's avatar
Thomas Witkowski committed
529
				   myLocalIndices);
530
	source->getLocalVector(elInfo2->getElement(), sourceLocalCoeffs);
531

532
	for (int i = 0; i < nBasisFcts; i++) {
Thomas Witkowski's avatar
Thomas Witkowski committed
533
	  if (vec[myLocalIndices[i]] == 0.0) {
534
            elInfo1->coordToWorld(*(basisFcts->getCoords(i)), worldVec);
535
536
537
	    elInfo2->worldToCoord(worldVec, &coords2);
	  
	    bool isPositive = true;
538
	    for (int j = 0; j < coords2.size(); j++) {
539
	      if (coords2[j] < -0.00001) {
540
541
542
543
544
		isPositive = false;
		break;
	      }
	    }
	  
545
546
547
	    if (isPositive)
	      vec[myLocalIndices[i]] = 
		sourceBasisFcts->evalUh(coords2, sourceLocalCoeffs);	   
548
549
550
	  }
	}
      
551
552
	nextTraverse = 
	  dualStack.traverseNext(&elInfo1, &elInfo2, &elInfoSmall, &elInfoLarge);
553
554
555
556
      }
    }
  }

557
558

  template<>
559
560
  void DOFVector<WorldVector<double> >::interpol(DOFVector<WorldVector<double> > *v, 
						 double factor) 
561
562
563
564
565
566
  {
    WorldVector<double> nul(DEFAULT_VALUE,0.0);

    this->set(nul);

    DimVec<double> *coords = NULL;
567
    const FiniteElemSpace *vFeSpace = v->getFeSpace();
568

569
    if (feSpace == vFeSpace)
570
571
572
      WARNING("same FE-spaces\n");

    const BasisFunction *basFcts = feSpace->getBasisFcts();
573
    const BasisFunction *vBasFcts = vFeSpace->getBasisFcts();
574
575
576
577

    int numBasFcts = basFcts->getNumber();
    int vNumBasFcts = vBasFcts->getNumber();

578
    if (feSpace->getMesh() == vFeSpace->getMesh()) {
Thomas Witkowski's avatar
Thomas Witkowski committed
579
      DegreeOfFreedom *myLocalIndices = localIndices[omp_get_thread_num()];
580
      mtl::dense_vector<WorldVector<double> > vLocalCoeffs(vNumBasFcts);
581
582
      Mesh *mesh = feSpace->getMesh();
      TraverseStack stack;
583
584
      ElInfo *elInfo = 
	stack.traverseFirst(mesh, -1, Mesh::CALL_LEAF_EL | Mesh::FILL_COORDS);
585
586
587

      while (elInfo) {
	Element *el = elInfo->getElement();
Thomas Witkowski's avatar
Thomas Witkowski committed
588
	basFcts->getLocalIndices(el, feSpace->getAdmin(), myLocalIndices);
589
590
591
	v->getLocalVector(el, vLocalCoeffs);

	for (int i = 0; i < numBasFcts; i++) {
Thomas Witkowski's avatar
Thomas Witkowski committed
592
	  if (vec[myLocalIndices[i]] == nul) {
593
	    coords = basFcts->getCoords(i);
594
	    vec[myLocalIndices[i]] += vBasFcts->evalUh(*coords, vLocalCoeffs, NULL) * factor;
595
596
597
598
599
600
601
602
603
604
	  }
	}
	elInfo = stack.traverseNext(elInfo);
      }
    } else {
      ERROR_EXIT("not yet for dual traverse\n");
    }
  }


605
606
607
608
609
  template<>
  WorldVector<DOFVector<double>*> *DOFVector<double>::getGradient(WorldVector<DOFVector<double>*> *grad) const
  {
    FUNCNAME("DOFVector<double>::getGradient()");

610
611
612
613
#ifdef _OPENMP
      ERROR_EXIT("Using static variable while using OpenMP parallelization!\n");
#endif

614
615
616
617
618
619
620
621
622
623
624
    Mesh *mesh = feSpace->getMesh();
    int dim = mesh->getDim();
    int dow = Global::getGeo(WORLD);

    const BasisFunction *basFcts = feSpace->getBasisFcts();

    DOFAdmin *admin = feSpace->getAdmin();

    // define result vector
    static WorldVector<DOFVector<double>*> *result = NULL;

625
    if (grad) {
626
627
      result = grad;
    } else {
628
      if (!result) {
629
	result = new WorldVector<DOFVector<double>*>;
630

631
632
	result->set(NULL);
      }
633
      for (int i = 0; i < dow; i++) {
634
	if ((*result)[i] && (*result)[i]->getFeSpace() != feSpace) {
635
636
	  delete (*result)[i];
	  (*result)[i] = new DOFVector<double>(feSpace, "gradient");
637
638
639
640
641
	}
      }
    }

    // count number of nodes and dofs per node
642
643
644
    std::vector<int> numNodeDOFs;
    std::vector<int> numNodePreDOFs;
    std::vector<DimVec<double>*> bary;
645

646
647
    int nNodes = 0;
    int nDofs = 0;
648

649
    for (int i = 0; i < dim + 1; i++) {
650
651
652
      GeoIndex geoIndex = INDEX_OF_DIM(i, dim);
      int numPositionNodes = mesh->getGeo(geoIndex);
      int numPreDOFs = admin->getNumberOfPreDOFs(i);
653
      for (int j = 0; j < numPositionNodes; j++) {
654
655
	int dofs = basFcts->getNumberOfDOFs(geoIndex);
	numNodeDOFs.push_back(dofs);
656
	nDofs += dofs;
657
658
	numNodePreDOFs.push_back(numPreDOFs);
      }
659
      nNodes += numPositionNodes;
660
661
    }

662
    TEST_EXIT_DBG(nDofs == basFcts->getNumber())
663
      ("number of dofs != number of basis functions\n");
664
    
665
    for (int i = 0; i < nDofs; i++)
666
      bary.push_back(basFcts->getCoords(i));    
667
668

    // traverse mesh
669
    std::vector<bool> visited(getUsedSize(), false);
670
    TraverseStack stack;
671
    Flag fillFlag = Mesh::CALL_LEAF_EL | Mesh::FILL_GRD_LAMBDA | Mesh::FILL_COORDS;
672
673
    ElInfo *elInfo = stack.traverseFirst(mesh, -1, fillFlag);
    WorldVector<double> grd;
674
    ElementVector localUh(basFcts->getNumber());
675

676
    while (elInfo) {
677
      const DegreeOfFreedom **dof = elInfo->getElement()->getDof();
678
      getLocalVector(elInfo->getElement(), localUh);
679
680
681
      const DimVec<WorldVector<double> > &grdLambda = elInfo->getGrdLambda();

      int localDOFNr = 0;
682
      for (int i = 0; i < nNodes; i++) { // for all nodes
683
	for (int j = 0; j < numNodeDOFs[i]; j++) { // for all dofs at this node
684
	  DegreeOfFreedom dofIndex = dof[i][numNodePreDOFs[i] + j];
685

686
	  if (!visited[dofIndex]) {
687
	    basFcts->evalGrdUh(*(bary[localDOFNr]), grdLambda, localUh, &grd);
688

689
690
	    for (int k = 0; k < dow; k++)
	      (*(*result)[k])[dofIndex] = grd[k];	    
691
692
693
694
695
696
697
698
699
700
701
702
703
704

	    visited[dofIndex] = true;
	  }
	  localDOFNr++;
	}
      }

      elInfo = stack.traverseNext(elInfo);
    }

    return result;
  }


705
706
  DOFVectorDOF::DOFVectorDOF() : 
    DOFVector<DegreeOfFreedom>() 
Thomas Witkowski's avatar
Thomas Witkowski committed
707
  {}
708

709

710
  void DOFVectorDOF::freeDOFContent(DegreeOfFreedom dof) 
711
712
  {}

713
714
715
716

  WorldVector<DOFVector<double>*> *transform(DOFVector<WorldVector<double> > *vec,
					     WorldVector<DOFVector<double>*> *res)
  {
717
    FUNCNAME("DOFVector<double>::transform()");
718

719
    TEST_EXIT_DBG(vec)("no vector\n");
720

721
    int dow = Global::getGeo(WORLD);
722
723
    static WorldVector<DOFVector<double>*> *result = NULL;

724
    if (!res && !result) {
725
726
      result = new WorldVector<DOFVector<double>*>;
      for (int i = 0; i < dow; i++)
727
	(*result)[i] = new DOFVector<double>(vec->getFeSpace(), "transform");
728
729
730
731
732
    }

    WorldVector<DOFVector<double>*> *r = res ? res : result;

    int vecSize = vec->getSize();
733
734
    for (int i = 0; i < vecSize; i++)
      for (int j = 0; j < dow; j++)
735
736
737
738
739
	(*((*r)[j]))[i] = (*vec)[i][j];

    return r;
  }

740

Thomas Witkowski's avatar
Thomas Witkowski committed
741
  template<>
742
743
744
745
746
  void DOFVectorBase<double>::getVecAtQPs(const ElInfo *smallElInfo, 
					  const ElInfo *largeElInfo,
					  const Quadrature *quad,
					  const FastQuadrature *quadFast,
					  mtl::dense_vector<double>& vecAtQPs) const
Thomas Witkowski's avatar
Thomas Witkowski committed
747
748
  {
    FUNCNAME("DOFVector<double>::getVecAtQPs()");
749
 
Thomas Witkowski's avatar
Thomas Witkowski committed
750
751
    TEST_EXIT_DBG(quad || quadFast)("neither quad nor quadFast defined\n");

752
    if (quad && quadFast) {
Thomas Witkowski's avatar
Thomas Witkowski committed
753
754
      TEST_EXIT_DBG(quad == quadFast->getQuadrature())
      	("quad != quadFast->quadrature\n");
755
    }
Thomas Witkowski's avatar
Thomas Witkowski committed
756
757
758
759

    TEST_EXIT_DBG(!quadFast || quadFast->getBasisFunctions() == feSpace->getBasisFcts())
      ("invalid basis functions");

760
    if (smallElInfo->getMesh() == feSpace->getMesh())
761
      return getVecAtQPs(smallElInfo, quad, quadFast, vecAtQPs);    
762

Thomas Witkowski's avatar
Thomas Witkowski committed
763
    const BasisFunction *basFcts = feSpace->getBasisFcts();
764
765
    int nPoints = 
      quadFast ? quadFast->getQuadrature()->getNumPoints() : quad->getNumPoints(); 
Thomas Witkowski's avatar
Thomas Witkowski committed
766

767
768
769
770
    vecAtQPs.change_dim(nPoints);
    
    const ElementVector &localVec = localVectors[omp_get_thread_num()];
    getLocalVector(largeElInfo->getElement(), const_cast<ElementVector&>(localVec));
Thomas Witkowski's avatar
Thomas Witkowski committed
771

772
    mtl::dense2D<double> &m = smallElInfo->getSubElemCoordsMat(basFcts->getDegree());
Thomas Witkowski's avatar
Thomas Witkowski committed
773
774

    for (int i = 0; i < nPoints; i++) {
775
      vecAtQPs[i] = 0.0;
Thomas Witkowski's avatar
Thomas Witkowski committed
776
777
      for (int j = 0; j < nBasFcts; j++) {
	double val = 0.0;
778
	for (int k = 0; k < nBasFcts; k++)
779
	  val += m[j][k] * (*(basFcts->getPhi(k)))(quad->getLambda(i));
780
781

	vecAtQPs[i] += localVec[j] * val;
Thomas Witkowski's avatar
Thomas Witkowski committed
782
783
784
785
      }
    }
  }

786

Thomas Witkowski's avatar
Thomas Witkowski committed
787
788
789
790
791
792
793
794
795
796
  template<>
  void DOFVectorBase<double>::assemble(double factor, ElInfo *elInfo,
				       const BoundaryType *bound, 
				       Operator *op)
  {
    FUNCNAME("DOFVector::assemble()");

    if (!(op || this->operators.size())) 
      return;

797
    set_to_zero(this->elementVector);
798
    bool addVector = false;
Thomas Witkowski's avatar
Thomas Witkowski committed
799
800
801

    if (op) {
      op->getElementVector(elInfo, this->elementVector);
802
      addVector = true;
Thomas Witkowski's avatar
Thomas Witkowski committed
803
804
805
806
807
808
    } else {
      std::vector<Operator*>::iterator it;
      std::vector<double*>::iterator factorIt;

      for (it = this->operators.begin(), factorIt = this->operatorFactor.begin();	
	   it != this->operators.end(); 
809
	   ++it, ++factorIt)
810
	if ((*it)->getNeedDualTraverse() == false) {
Thomas Witkowski's avatar
Thomas Witkowski committed
811
	  (*it)->getElementVector(elInfo, this->elementVector, 
812
				  *factorIt ? **factorIt : 1.0);      
813
814
	  addVector = true;
	}
Thomas Witkowski's avatar
Thomas Witkowski committed
815
816
    }

817
818
    if (addVector)
      addElementVector(factor, this->elementVector, bound, elInfo);
Thomas Witkowski's avatar
Thomas Witkowski committed
819
820
  }

Thomas Witkowski's avatar
Thomas Witkowski committed
821

Thomas Witkowski's avatar
Thomas Witkowski committed
822
823
824
825
826
827
828
829
830
831
832
833
  template<>
  void DOFVectorBase<double>::assemble2(double factor, 
					ElInfo *mainElInfo, ElInfo *auxElInfo,
					ElInfo *smallElInfo, ElInfo *largeElInfo,
					const BoundaryType *bound, 
					Operator *op)
  {
    FUNCNAME("DOFVector::assemble2()");

    if (!(op || this->operators.size())) 
      return;

834
    set_to_zero(this->elementVector);
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
    bool addVector = false;

    TEST_EXIT(!op)("Not yet implemented!\n");

    std::vector<Operator*>::iterator it;
    std::vector<double*>::iterator factorIt;
    for (it = this->operators.begin(), factorIt = this->operatorFactor.begin();	
	 it != this->operators.end(); 
	 ++it, ++factorIt)
      if ((*it)->getNeedDualTraverse()) {
	(*it)->getElementVector(mainElInfo, auxElInfo,
				smallElInfo, largeElInfo,
				this->elementVector, 
				*factorIt ? **factorIt : 1.0);
	addVector = true;
Thomas Witkowski's avatar
Thomas Witkowski committed
850
851
      }
  
852
853
    if (addVector)
      addElementVector(factor, this->elementVector, bound, mainElInfo);
Thomas Witkowski's avatar
Thomas Witkowski committed
854
855
856
  }


857
858
859
860
  double integrate(const DOFVector<double> &vec1,
		   const DOFVector<double> &vec2,
		   BinaryAbstractFunction<double, double, double> *fct)
  {
861
    if (vec1.getFeSpace()->getMesh() == vec2.getFeSpace()->getMesh())
862
863
864
865
866
867
868
869
870
871
872
873
874
875
      return intSingleMesh(vec1, vec2, fct);
    else
      return intDualMesh(vec1, vec2, fct);
  }


  double intSingleMesh(const DOFVector<double> &vec1,
		       const DOFVector<double> &vec2,
		       BinaryAbstractFunction<double, double, double> *fct)
  {
    FUNCNAME("intDualmesh()");
    
    TEST_EXIT(fct)("No function defined!\n");

876
877
    int deg = std::max(fct->getDegree(), 
		       2 * vec1.getFeSpace()->getBasisFcts()->getDegree());
878
    Quadrature* quad = 
879
      Quadrature::provideQuadrature(vec1.getFeSpace()->getMesh()->getDim(), deg);
880
    FastQuadrature *fastQuad =
881
      FastQuadrature::provideFastQuadrature(vec1.getFeSpace()->getBasisFcts(), *quad, INIT_PHI);
882

883
884
    mtl::dense_vector<double> qp1(fastQuad->getNumPoints());
    mtl::dense_vector<double> qp2(fastQuad->getNumPoints());
885
886
887
888