Intrepid
test_01.cpp
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43 
48 #include "Intrepid_FieldContainer.hpp"
49 #include "Intrepid_HDIV_HEX_I1_FEM.hpp"
50 #include "Teuchos_oblackholestream.hpp"
51 #include "Teuchos_RCP.hpp"
52 #include "Teuchos_GlobalMPISession.hpp"
53 
54 using namespace std;
55 using namespace Intrepid;
56 
57 #define INTREPID_TEST_COMMAND( S , throwCounter, nException ) \
58 { \
59  ++nException; \
60  try { \
61  S ; \
62  } \
63  catch (const std::logic_error & err) { \
64  ++throwCounter; \
65  *outStream << "Expected Error " << nException << " -------------------------------------------------------------\n"; \
66  *outStream << err.what() << '\n'; \
67  *outStream << "-------------------------------------------------------------------------------" << "\n\n"; \
68  }; \
69 }
70 
71 int main(int argc, char *argv[]) {
72 
73  Teuchos::GlobalMPISession mpiSession(&argc, &argv);
74 
75  // This little trick lets us print to std::cout only if
76  // a (dummy) command-line argument is provided.
77  int iprint = argc - 1;
78  Teuchos::RCP<std::ostream> outStream;
79  Teuchos::oblackholestream bhs; // outputs nothing
80  if (iprint > 0)
81  outStream = Teuchos::rcp(&std::cout, false);
82  else
83  outStream = Teuchos::rcp(&bhs, false);
84 
85  // Save the format state of the original std::cout.
86  Teuchos::oblackholestream oldFormatState;
87  oldFormatState.copyfmt(std::cout);
88 
89  *outStream \
90  << "===============================================================================\n" \
91  << "| |\n" \
92  << "| Unit Test (Basis_HDIV_HEX_I1_FEM) |\n" \
93  << "| |\n" \
94  << "| 1) Conversion of Dof tags into Dof ordinals and back |\n" \
95  << "| 2) Basis values for VALUE and DIV operators |\n" \
96  << "| |\n" \
97  << "| Questions? Contact Pavel Bochev (pbboche@sandia.gov), |\n" \
98  << "| Denis Ridzal (dridzal@sandia.gov), |\n" \
99  << "| Kara Peterson (kjpeter@sandia.gov). |\n" \
100  << "| |\n" \
101  << "| Intrepid's website: http://trilinos.sandia.gov/packages/intrepid |\n" \
102  << "| Trilinos website: http://trilinos.sandia.gov |\n" \
103  << "| |\n" \
104  << "===============================================================================\n"\
105  << "| TEST 1: Basis creation, exception testing |\n"\
106  << "===============================================================================\n";
107 
108  // Define basis and error flag
109  Basis_HDIV_HEX_I1_FEM<double, FieldContainer<double> > hexBasis;
110  int errorFlag = 0;
111 
112  // Initialize throw counter for exception testing
113  int nException = 0;
114  int throwCounter = 0;
115 
116  // Define array containing the 8 vertices of the reference HEX, its center and 6 face centers
117  FieldContainer<double> hexNodes(15, 3);
118  hexNodes(0,0) = -1.0; hexNodes(0,1) = -1.0; hexNodes(0,2) = -1.0;
119  hexNodes(1,0) = 1.0; hexNodes(1,1) = -1.0; hexNodes(1,2) = -1.0;
120  hexNodes(2,0) = 1.0; hexNodes(2,1) = 1.0; hexNodes(2,2) = -1.0;
121  hexNodes(3,0) = -1.0; hexNodes(3,1) = 1.0; hexNodes(3,2) = -1.0;
122 
123  hexNodes(4,0) = -1.0; hexNodes(4,1) = -1.0; hexNodes(4,2) = 1.0;
124  hexNodes(5,0) = 1.0; hexNodes(5,1) = -1.0; hexNodes(5,2) = 1.0;
125  hexNodes(6,0) = 1.0; hexNodes(6,1) = 1.0; hexNodes(6,2) = 1.0;
126  hexNodes(7,0) = -1.0; hexNodes(7,1) = 1.0; hexNodes(7,2) = 1.0;
127 
128  hexNodes(8,0) = 0.0; hexNodes(8,1) = 0.0; hexNodes(8,2) = 0.0;
129 
130  hexNodes(9,0) = 1.0; hexNodes(9,1) = 0.0; hexNodes(9,2) = 0.0;
131  hexNodes(10,0)= -1.0; hexNodes(10,1)= 0.0; hexNodes(10,2)= 0.0;
132 
133  hexNodes(11,0)= 0.0; hexNodes(11,1)= 1.0; hexNodes(11,2)= 0.0;
134  hexNodes(12,0)= 0.0; hexNodes(12,1)= -1.0; hexNodes(12,2)= 0.0;
135 
136  hexNodes(13,0)= 0.0; hexNodes(13,1)= 0.0; hexNodes(13,2)= 1.0;
137  hexNodes(14,0)= 0.0; hexNodes(14,1)= 0.0; hexNodes(14,2)= -1.0;
138 
139 
140  // Generic array for the output values; needs to be properly resized depending on the operator type
141  FieldContainer<double> vals;
142 
143  try{
144  // exception #1: GRAD cannot be applied to HDIV functions
145  // resize vals to rank-3 container with dimensions (num. basis functions, num. points, arbitrary)
146  vals.resize(hexBasis.getCardinality(), hexNodes.dimension(0), 3 );
147  INTREPID_TEST_COMMAND( hexBasis.getValues(vals, hexNodes, OPERATOR_GRAD), throwCounter, nException );
148 
149  // exception #2: CURL cannot be applied to HDIV functions
150  INTREPID_TEST_COMMAND( hexBasis.getValues(vals, hexNodes, OPERATOR_CURL), throwCounter, nException );
151 
152  // Exceptions 3-7: all bf tags/bf Ids below are wrong and should cause getDofOrdinal() and
153  // getDofTag() to access invalid array elements thereby causing bounds check exception
154  // exception #3
155  INTREPID_TEST_COMMAND( hexBasis.getDofOrdinal(3,0,0), throwCounter, nException );
156  // exception #4
157  INTREPID_TEST_COMMAND( hexBasis.getDofOrdinal(1,1,1), throwCounter, nException );
158  // exception #5
159  INTREPID_TEST_COMMAND( hexBasis.getDofOrdinal(0,4,1), throwCounter, nException );
160  // exception #6
161  INTREPID_TEST_COMMAND( hexBasis.getDofTag(12), throwCounter, nException );
162  // exception #7
163  INTREPID_TEST_COMMAND( hexBasis.getDofTag(-1), throwCounter, nException );
164 
165 #ifdef HAVE_INTREPID_DEBUG
166  // Exceptions 8- test exception handling with incorrectly dimensioned input/output arrays
167  // exception #8: input points array must be of rank-2
168  FieldContainer<double> badPoints1(4, 5, 3);
169  INTREPID_TEST_COMMAND( hexBasis.getValues(vals, badPoints1, OPERATOR_VALUE), throwCounter, nException );
170 
171  // exception #9 dimension 1 in the input point array must equal space dimension of the cell
172  FieldContainer<double> badPoints2(4, 2);
173  INTREPID_TEST_COMMAND( hexBasis.getValues(vals, badPoints2, OPERATOR_VALUE), throwCounter, nException );
174 
175  // exception #10 output values must be of rank-3 for OPERATOR_VALUE
176  FieldContainer<double> badVals1(4, 3);
177  INTREPID_TEST_COMMAND( hexBasis.getValues(badVals1, hexNodes, OPERATOR_VALUE), throwCounter, nException );
178 
179  // exception #11 output values must be of rank-2 for OPERATOR_DIV
180  FieldContainer<double> badVals2(4, 3, 3);
181  INTREPID_TEST_COMMAND( hexBasis.getValues(badVals2, hexNodes, OPERATOR_DIV), throwCounter, nException );
182 
183  // exception #12 incorrect 0th dimension of output array (must equal number of basis functions)
184  FieldContainer<double> badVals3(hexBasis.getCardinality() + 1, hexNodes.dimension(0), 3);
185  INTREPID_TEST_COMMAND( hexBasis.getValues(badVals3, hexNodes, OPERATOR_VALUE), throwCounter, nException );
186 
187  // exception #13 incorrect 0th dimension of output array (must equal number of basis functions)
188  FieldContainer<double> badVals4(hexBasis.getCardinality() + 1, hexNodes.dimension(0));
189  INTREPID_TEST_COMMAND( hexBasis.getValues(badVals4, hexNodes, OPERATOR_DIV), throwCounter, nException );
190 
191  // exception #14 incorrect 1st dimension of output array (must equal number of points)
192  FieldContainer<double> badVals5(hexBasis.getCardinality(), hexNodes.dimension(0) + 1, 3);
193  INTREPID_TEST_COMMAND( hexBasis.getValues(badVals5, hexNodes, OPERATOR_VALUE), throwCounter, nException );
194 
195  // exception #15 incorrect 1st dimension of output array (must equal number of points)
196  FieldContainer<double> badVals6(hexBasis.getCardinality(), hexNodes.dimension(0) + 1);
197  INTREPID_TEST_COMMAND( hexBasis.getValues(badVals6, hexNodes, OPERATOR_DIV), throwCounter, nException );
198 
199  // exception #16: incorrect 2nd dimension of output array (must equal the space dimension)
200  FieldContainer<double> badVals7(hexBasis.getCardinality(), hexNodes.dimension(0), 4);
201  INTREPID_TEST_COMMAND( hexBasis.getValues(badVals7, hexNodes, OPERATOR_VALUE), throwCounter, nException );
202 #endif
203 
204  }
205  catch (const std::logic_error & err) {
206  *outStream << "UNEXPECTED ERROR !!! ----------------------------------------------------------\n";
207  *outStream << err.what() << '\n';
208  *outStream << "-------------------------------------------------------------------------------" << "\n\n";
209  errorFlag = -1000;
210  };
211 
212  // Check if number of thrown exceptions matches the one we expect
213  if (throwCounter != nException) {
214  errorFlag++;
215  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
216  }
217 
218  *outStream \
219  << "\n"
220  << "===============================================================================\n"\
221  << "| TEST 2: correctness of tag to enum and enum to tag lookups |\n"\
222  << "===============================================================================\n";
223 
224  try{
225  std::vector<std::vector<int> > allTags = hexBasis.getAllDofTags();
226 
227  // Loop over all tags, lookup the associated dof enumeration and then lookup the tag again
228  for (unsigned i = 0; i < allTags.size(); i++) {
229  int bfOrd = hexBasis.getDofOrdinal(allTags[i][0], allTags[i][1], allTags[i][2]);
230 
231  std::vector<int> myTag = hexBasis.getDofTag(bfOrd);
232  if( !( (myTag[0] == allTags[i][0]) &&
233  (myTag[1] == allTags[i][1]) &&
234  (myTag[2] == allTags[i][2]) &&
235  (myTag[3] == allTags[i][3]) ) ) {
236  errorFlag++;
237  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
238  *outStream << " getDofOrdinal( {"
239  << allTags[i][0] << ", "
240  << allTags[i][1] << ", "
241  << allTags[i][2] << ", "
242  << allTags[i][3] << "}) = " << bfOrd <<" but \n";
243  *outStream << " getDofTag(" << bfOrd << ") = { "
244  << myTag[0] << ", "
245  << myTag[1] << ", "
246  << myTag[2] << ", "
247  << myTag[3] << "}\n";
248  }
249  }
250 
251  // Now do the same but loop over basis functions
252  for( int bfOrd = 0; bfOrd < hexBasis.getCardinality(); bfOrd++) {
253  std::vector<int> myTag = hexBasis.getDofTag(bfOrd);
254  int myBfOrd = hexBasis.getDofOrdinal(myTag[0], myTag[1], myTag[2]);
255  if( bfOrd != myBfOrd) {
256  errorFlag++;
257  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
258  *outStream << " getDofTag(" << bfOrd << ") = { "
259  << myTag[0] << ", "
260  << myTag[1] << ", "
261  << myTag[2] << ", "
262  << myTag[3] << "} but getDofOrdinal({"
263  << myTag[0] << ", "
264  << myTag[1] << ", "
265  << myTag[2] << ", "
266  << myTag[3] << "} ) = " << myBfOrd << "\n";
267  }
268  }
269  }
270  catch (const std::logic_error & err){
271  *outStream << err.what() << "\n\n";
272  errorFlag = -1000;
273  };
274 
275  *outStream \
276  << "\n"
277  << "===============================================================================\n"\
278  << "| TEST 3: correctness of basis function values |\n"\
279  << "===============================================================================\n";
280 
281  outStream -> precision(20);
282 
283  // VALUE: Each row pair gives the 6x3 correct basis set values at an evaluation point: (P,F,D) layout
284  double basisValues[] = {
285  // bottom 4 vertices
286  0.,-0.25,0., 0.,0.,0., 0.,0.,0., -0.25,0.,0., 0.,0.,-0.25, 0.,0.,0.,
287  0.,-0.25,0., 0.25,0.,0., 0.,0.,0., 0.,0.,0., 0.,0.,-0.25, 0.,0.,0.,
288  0.,0.,0., 0.25,0.,0., 0.,0.25,0., 0.,0.,0., 0.,0.,-0.25, 0.,0.,0.,
289  0.,0.,0., 0.,0.,0., 0.,0.25,0., -0.25,0.,0., 0.,0.,-0.25, 0.,0.,0.,
290  // top 4 vertices
291  0.,-0.25,0., 0.,0.,0., 0.,0.,0., -0.25,0.,0., 0.,0.,0., 0.,0.,0.25,
292  0.,-0.25,0., 0.25,0.,0., 0.,0.,0., 0.,0.,0., 0.,0.,0., 0.,0.,0.25,
293  0.,0.,0., 0.25,0.,0., 0.,0.25,0., 0.,0.,0., 0.,0.,0., 0.,0.,0.25,
294  0.,0.,0., 0.,0.,0., 0.,0.25,0., -0.25,0.,0., 0.,0.,0., 0.,0.,0.25,
295  // center {0, 0, 0}
296  0.,-0.125,0., 0.125,0.,0., 0.,0.125,0., -0.125,0.,0., 0.,0.,-0.125, 0.,0.,0.125,
297  // faces { 1, 0, 0} and {-1, 0, 0}
298  0.,-0.125,0., 0.25,0.,0., 0.,0.125,0., 0.,0.,0., 0.,0.,-0.125, 0.,0.,0.125,
299  0.,-0.125,0., 0.,0.,0., 0.,0.125,0., -0.25,0.,0., 0.,0.,-0.125, 0.,0.,0.125,
300  // faces { 0, 1, 0} and { 0,-1, 0}
301  0.,0.,0., 0.125,0.,0., 0.,0.25,0., -0.125,0.,0., 0.,0.,-0.125, 0.,0.,0.125,
302  0.,-0.25,0., 0.125,0.,0., 0.,0.,0., -0.125,0.,0., 0.,0.,-0.125, 0.,0.,0.125,
303  // faces {0, 0, 1} and {0, 0, -1}
304  0.,-0.125,0., 0.125,0.,0., 0.,0.125,0., -0.125,0.,0., 0.,0.,0., 0.,0.,0.25,
305  0.,-0.125,0., 0.125,0.,0., 0.,0.125,0., -0.125,0.,0., 0.,0.,-0.25, 0.,0.,0.
306  };
307 
308  // DIV: each row gives the 6 correct values of the divergence of the 6 basis functions: (P,F) layout
309  double basisDivs[] = {
310  // bottom 4 vertices
311  0.125, 0.125, 0.125, 0.125, 0.125, 0.125,
312  0.125, 0.125, 0.125, 0.125, 0.125, 0.125,
313  0.125, 0.125, 0.125, 0.125, 0.125, 0.125,
314  0.125, 0.125, 0.125, 0.125, 0.125, 0.125,
315  // top 4 vertices
316  0.125, 0.125, 0.125, 0.125, 0.125, 0.125,
317  0.125, 0.125, 0.125, 0.125, 0.125, 0.125,
318  0.125, 0.125, 0.125, 0.125, 0.125, 0.125,
319  0.125, 0.125, 0.125, 0.125, 0.125, 0.125,
320  // center {0, 0, 0}
321  0.125, 0.125, 0.125, 0.125, 0.125, 0.125,
322  // faces { 1, 0, 0} and {-1, 0, 0}
323  0.125, 0.125, 0.125, 0.125, 0.125, 0.125,
324  0.125, 0.125, 0.125, 0.125, 0.125, 0.125,
325  // faces { 0, 1, 0} and { 0,-1, 0}
326  0.125, 0.125, 0.125, 0.125, 0.125, 0.125,
327  0.125, 0.125, 0.125, 0.125, 0.125, 0.125,
328  // faces {0, 0, 1} and {0, 0, -1}
329  0.125, 0.125, 0.125, 0.125, 0.125, 0.125,
330  0.125, 0.125, 0.125, 0.125, 0.125, 0.125,
331  };
332 
333  try{
334 
335  // Dimensions for the output arrays:
336  int numPoints = hexNodes.dimension(0);
337  int numFields = hexBasis.getCardinality();
338  int spaceDim = hexBasis.getBaseCellTopology().getDimension();
339 
340  // Generic array for values and curls that will be properly sized before each call
341  FieldContainer<double> vals;
342 
343  // Check VALUE of basis functions: resize vals to rank-3 container:
344  vals.resize(numFields, numPoints, spaceDim);
345  hexBasis.getValues(vals, hexNodes, OPERATOR_VALUE);
346  for (int i = 0; i < numFields; i++) {
347  for (int j = 0; j < numPoints; j++) {
348  for (int k = 0; k < spaceDim; k++) {
349 
350  // compute offset for (P,F,D) data layout: indices are P->j, F->i, D->k
351  int l = k + i * spaceDim + j * spaceDim * numFields;
352  if (std::abs(vals(i,j,k) - basisValues[l]) > INTREPID_TOL) {
353  errorFlag++;
354  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
355 
356  // Output the multi-index of the value where the error is:
357  *outStream << " At multi-index { ";
358  *outStream << i << " ";*outStream << j << " ";*outStream << k << " ";
359  *outStream << "} computed value: " << vals(i,j,k)
360  << " but reference value: " << basisValues[l] << "\n";
361  }
362  }
363  }
364  }
365 
366  // Check DIV of basis function: resize vals to rank-2 container
367  vals.resize(numFields, numPoints);
368  hexBasis.getValues(vals, hexNodes, OPERATOR_DIV);
369  for (int i = 0; i < numFields; i++) {
370  for (int j = 0; j < numPoints; j++) {
371  int l = i + j * numFields;
372  if (std::abs(vals(i,j) - basisDivs[l]) > INTREPID_TOL) {
373  errorFlag++;
374  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
375 
376  // Output the multi-index of the value where the error is:
377  *outStream << " At multi-index { ";
378  *outStream << i << " ";*outStream << j << " ";
379  *outStream << "} computed divergence component: " << vals(i,j)
380  << " but reference divergence component: " << basisDivs[l] << "\n";
381  }
382  }
383  }
384 
385  }
386 
387  // Catch unexpected errors
388  catch (const std::logic_error & err) {
389  *outStream << err.what() << "\n\n";
390  errorFlag = -1000;
391  };
392 
393  *outStream \
394  << "\n"
395  << "===============================================================================\n"\
396  << "| TEST 4: correctness of DoF locations |\n"\
397  << "===============================================================================\n";
398 
399  try{
400  Teuchos::RCP<Basis<double, FieldContainer<double> > > basis =
401  Teuchos::rcp(new Basis_HDIV_HEX_I1_FEM<double, FieldContainer<double> >);
402  Teuchos::RCP<DofCoordsInterface<FieldContainer<double> > > coord_iface =
403  Teuchos::rcp_dynamic_cast<DofCoordsInterface<FieldContainer<double> > >(basis);
404 
405  int spaceDim = 3;
406  FieldContainer<double> cvals;
407  FieldContainer<double> bvals(basis->getCardinality(), basis->getCardinality(),spaceDim); // last dimension is spatial dim
408 
409  // Check exceptions.
410 #ifdef HAVE_INTREPID_DEBUG
411  cvals.resize(1,2,3);
412  INTREPID_TEST_COMMAND( coord_iface->getDofCoords(cvals), throwCounter, nException );
413  cvals.resize(3,2);
414  INTREPID_TEST_COMMAND( coord_iface->getDofCoords(cvals), throwCounter, nException );
415  cvals.resize(4,2);
416  INTREPID_TEST_COMMAND( coord_iface->getDofCoords(cvals), throwCounter, nException );
417 #endif
418  cvals.resize(6,spaceDim);
419  INTREPID_TEST_COMMAND( coord_iface->getDofCoords(cvals), throwCounter, nException ); nException--;
420  // Check if number of thrown exceptions matches the one we expect
421  if (throwCounter != nException) {
422  errorFlag++;
423  *outStream << std::setw(70) << "^^^^----FAILURE!" << "\n";
424  }
425 
426  // Check mathematical correctness
427  FieldContainer<double> normals(basis->getCardinality(),spaceDim); // normals at each point basis point
428  normals(0,0) = 0.0; normals(0,1) = -4.0; normals(0,2) = 0.0;
429  normals(1,0) = 4.0; normals(1,1) = 0.0; normals(1,2) = 0.0;
430  normals(2,0) = 0.0; normals(2,1) = 4.0; normals(2,2) = 0.0;
431  normals(3,0) = -4.0; normals(3,1) = 0.0; normals(3,2) = 0.0;
432  normals(4,0) = 0.0; normals(4,1) = 0.0; normals(4,2) = -4.0;
433  normals(5,0) = 0.0; normals(5,1) = 0.0; normals(5,2) = 4.0;
434 
435  basis->getValues(bvals, cvals, OPERATOR_VALUE);
436  char buffer[120];
437  for (int i=0; i<bvals.dimension(0); i++) {
438  for (int j=0; j<bvals.dimension(1); j++) {
439 
440  double normal = 0.0;
441  for(int d=0;d<spaceDim;d++)
442  normal += bvals(i,j,d)*normals(j,d);
443 
444  if ((i != j) && (std::abs(normal - 0.0) > INTREPID_TOL)) {
445  errorFlag++;
446  sprintf(buffer, "\nValue of basis function %d at (%6.4e, %6.4e, %6.4e) is %6.4e but should be %6.4e!\n", i, cvals(i,0), cvals(i,1), cvals(i,2), normal, 0.0);
447  *outStream << buffer;
448  }
449  else if ((i == j) && (std::abs(normal - 1.0) > INTREPID_TOL)) {
450  errorFlag++;
451  sprintf(buffer, "\nValue of basis function %d at (%6.4e, %6.4e, %6.4e) is %6.4e but should be %6.4e!\n", i, cvals(i,0), cvals(i,1), cvals(i,2), normal, 1.0);
452  *outStream << buffer;
453  }
454  }
455  }
456 
457  }
458  catch (const std::logic_error & err){
459  *outStream << err.what() << "\n\n";
460  errorFlag = -1000;
461  };
462 
463  if (errorFlag != 0)
464  std::cout << "End Result: TEST FAILED\n";
465  else
466  std::cout << "End Result: TEST PASSED\n";
467 
468  // reset format state of std::cout
469  std::cout.copyfmt(oldFormatState);
470 
471  return errorFlag;
472 }
Intrepid::Basis_HDIV_HEX_I1_FEM::getValues
void getValues(ArrayScalar &outputValues, const ArrayScalar &inputPoints, const EOperator operatorType) const
Evaluation of a FEM basis on a reference Hexahedron cell.
Definition: Intrepid_HDIV_HEX_I1_FEMDef.hpp:95
Intrepid::Basis::getDofTag
virtual const std::vector< int > & getDofTag(const int dofOrd)
DoF ordinal to DoF tag lookup.
Definition: Intrepid_BasisDef.hpp:78
Intrepid::Basis::getCardinality
virtual int getCardinality() const
Returns cardinality of the basis.
Definition: Intrepid_BasisDef.hpp:100
Intrepid::DofCoordsInterface
This is an interface class for bases whose degrees of freedom can be associated with spatial location...
Definition: Intrepid_Basis.hpp:353
Intrepid::Basis::getAllDofTags
virtual const std::vector< std::vector< int > > & getAllDofTags()
Retrieves all DoF tags.
Definition: Intrepid_BasisDef.hpp:89
Intrepid_FieldContainer.hpp
Header file for utility class to provide multidimensional containers.
Intrepid_HDIV_HEX_I1_FEM.hpp
Header file for the Intrepid::HDIV_HEX_I1_FEM class.
Intrepid::Basis_HDIV_HEX_I1_FEM
Implementation of the default H(div)-compatible FEM basis of degree 1 on Hexahedron cell...
Definition: Intrepid_HDIV_HEX_I1_FEM.hpp:105
Intrepid::FieldContainer::resize
void resize(const int dim0)
Resizes FieldContainer to a rank-1 container with the specified dimension, initialized by 0...
Definition: Intrepid_FieldContainerDef.hpp:1137
Intrepid::Basis::getDofOrdinal
virtual int getDofOrdinal(const int subcDim, const int subcOrd, const int subcDofOrd)
DoF tag to ordinal lookup.
Definition: Intrepid_BasisDef.hpp:51
Intrepid::Basis::getBaseCellTopology
virtual const shards::CellTopology getBaseCellTopology() const
Returns the base cell topology for which the basis is defined. See Shards documentation http://trilin...
Definition: Intrepid_BasisDef.hpp:112
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