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Intrepid
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00001 // @HEADER 00002 // ************************************************************************ 00003 // 00004 // Intrepid Package 00005 // Copyright (2007) Sandia Corporation 00006 // 00007 // Under terms of Contract DE-AC04-94AL85000, there is a non-exclusive 00008 // license for use of this work by or on behalf of the U.S. Government. 00009 // 00010 // Redistribution and use in source and binary forms, with or without 00011 // modification, are permitted provided that the following conditions are 00012 // met: 00013 // 00014 // 1. Redistributions of source code must retain the above copyright 00015 // notice, this list of conditions and the following disclaimer. 00016 // 00017 // 2. Redistributions in binary form must reproduce the above copyright 00018 // notice, this list of conditions and the following disclaimer in the 00019 // documentation and/or other materials provided with the distribution. 00020 // 00021 // 3. Neither the name of the Corporation nor the names of the 00022 // contributors may be used to endorse or promote products derived from 00023 // this software without specific prior written permission. 00024 // 00025 // THIS SOFTWARE IS PROVIDED BY SANDIA CORPORATION "AS IS" AND ANY 00026 // EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 00027 // IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR 00028 // PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL SANDIA CORPORATION OR THE 00029 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, 00030 // EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 00031 // PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 00032 // PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF 00033 // LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING 00034 // NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 00035 // SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 00036 // 00037 // Questions? Contact Pavel Bochev (pbboche@sandia.gov) 00038 // Denis Ridzal (dridzal@sandia.gov), or 00039 // Kara Peterson (kjpeter@sandia.gov) 00040 // 00041 // ************************************************************************ 00042 // @HEADER 00043 00049 namespace Intrepid { 00050 00051 template<class Scalar, class ArrayScalar> 00052 Basis_HDIV_HEX_In_FEM<Scalar,ArrayScalar>::Basis_HDIV_HEX_In_FEM( int order , 00053 const ArrayScalar & ptsClosed , 00054 const ArrayScalar & ptsOpen): 00055 closedBasis_( order , ptsClosed ), 00056 openBasis_( order-1 , ptsOpen ), 00057 closedPts_( ptsClosed ), 00058 openPts_( ptsOpen ) 00059 { 00060 this -> basisDegree_ = order; 00061 this -> basisCardinality_ = 3 * closedBasis_.getCardinality() * openBasis_.getCardinality() * openBasis_.getCardinality(); 00062 this -> basisCellTopology_ = shards::CellTopology(shards::getCellTopologyData<shards::Hexahedron<8> >() ); 00063 this -> basisType_ = BASIS_FEM_FIAT; 00064 this -> basisCoordinates_ = COORDINATES_CARTESIAN; 00065 this -> basisTagsAreSet_ = false; 00066 00067 Array<Array<RCP<Basis<Scalar,ArrayScalar > > > > bases(3); 00068 bases[0].resize(3); bases[1].resize(3); bases[2].resize(3); 00069 bases[0][0] = rcp( &closedBasis_ , false ); 00070 bases[0][1] = rcp( &openBasis_ , false ); 00071 bases[0][2] = rcp( &openBasis_ , false ); 00072 bases[1][0] = rcp( &openBasis_ , false ); 00073 bases[1][1] = rcp( &closedBasis_ , false ); 00074 bases[1][2] = rcp( &openBasis_ , false ); 00075 bases[2][0] = rcp( &openBasis_ , false ); 00076 bases[2][1] = rcp( &openBasis_ , false ); 00077 bases[2][2] = rcp( &closedBasis_ , false ); 00078 this->setBases( bases ); 00079 00080 } 00081 00082 template<class Scalar, class ArrayScalar> 00083 Basis_HDIV_HEX_In_FEM<Scalar,ArrayScalar>::Basis_HDIV_HEX_In_FEM( int order , const EPointType &pointType ): 00084 closedBasis_( order , pointType==POINTTYPE_SPECTRAL?POINTTYPE_SPECTRAL:POINTTYPE_EQUISPACED ), 00085 openBasis_( order-1 , pointType==POINTTYPE_SPECTRAL?POINTTYPE_SPECTRAL_OPEN:POINTTYPE_EQUISPACED ), 00086 closedPts_( order+1 , 1 ), 00087 openPts_( order , 1 ) 00088 { 00089 this -> basisDegree_ = order; 00090 this -> basisCardinality_ = 3 * closedBasis_.getCardinality() * openBasis_.getCardinality() * openBasis_.getCardinality(); 00091 this -> basisCellTopology_ = shards::CellTopology(shards::getCellTopologyData<shards::Hexahedron<8> >() ); 00092 this -> basisType_ = BASIS_FEM_FIAT; 00093 this -> basisCoordinates_ = COORDINATES_CARTESIAN; 00094 this -> basisTagsAreSet_ = false; 00095 00096 PointTools::getLattice<Scalar,FieldContainer<Scalar> >( closedPts_ , 00097 shards::CellTopology(shards::getCellTopologyData<shards::Line<2> >()) , 00098 order , 00099 0 , 00100 pointType==POINTTYPE_SPECTRAL?POINTTYPE_WARPBLEND:POINTTYPE_EQUISPACED ); 00101 00102 if (pointType == POINTTYPE_SPECTRAL) 00103 { 00104 PointTools::getGaussPoints<Scalar,FieldContainer<Scalar> >( openPts_ , 00105 order - 1 ); 00106 } 00107 else 00108 { 00109 PointTools::getLattice<Scalar,FieldContainer<Scalar> >( openPts_ , 00110 shards::CellTopology(shards::getCellTopologyData<shards::Line<2> >()) , 00111 order - 1, 00112 0 , 00113 POINTTYPE_EQUISPACED ); 00114 00115 } 00116 00117 00118 Array<Array<RCP<Basis<Scalar,ArrayScalar > > > > bases(3); 00119 bases[0].resize(3); bases[1].resize(3); bases[2].resize(3); 00120 bases[0][0] = rcp( &closedBasis_ , false ); 00121 bases[0][1] = rcp( &openBasis_ , false ); 00122 bases[0][2] = rcp( &openBasis_ , false ); 00123 bases[1][0] = rcp( &openBasis_ , false ); 00124 bases[1][1] = rcp( &closedBasis_ , false ); 00125 bases[1][2] = rcp( &openBasis_ , false ); 00126 bases[2][0] = rcp( &openBasis_ , false ); 00127 bases[2][1] = rcp( &openBasis_ , false ); 00128 bases[2][2] = rcp( &closedBasis_ , false ); 00129 this->setBases( bases ); 00130 00131 } 00132 00133 00134 00135 template<class Scalar, class ArrayScalar> 00136 void Basis_HDIV_HEX_In_FEM<Scalar, ArrayScalar>::initializeTags() { 00137 00138 // Basis-dependent intializations 00139 int tagSize = 4; // size of DoF tag 00140 int posScDim = 0; // position in the tag, counting from 0, of the subcell dim 00141 int posScOrd = 1; // position in the tag, counting from 0, of the subcell ordinal 00142 int posDfOrd = 2; // position in the tag, counting from 0, of DoF ordinal relative to the subcell 00143 00144 std::vector<int> tags( tagSize * this->getCardinality() ); 00145 00146 const std::vector<std::vector<int> >& closedDofTags = closedBasis_.getAllDofTags(); 00147 const std::vector<std::vector<int> >& openDofTags = openBasis_.getAllDofTags(); 00148 00149 std::map<int,std::map<int,int> > total_dof_per_entity; 00150 std::map<int,std::map<int,int> > current_dof_per_entity; 00151 00152 // four vertices 00153 for (int i=0;i<4;i++) { 00154 total_dof_per_entity[0][i] = 0; 00155 current_dof_per_entity[0][i] = 0; 00156 } 00157 // twelve edges 00158 for (int i=0;i<12;i++) { 00159 total_dof_per_entity[1][i] = 0; 00160 current_dof_per_entity[1][i] = 0; 00161 } 00162 // six faces 00163 for (int i=0;i<6;i++) { 00164 total_dof_per_entity[2][i] = 0; 00165 current_dof_per_entity[2][i] = 0; 00166 } 00167 total_dof_per_entity[3][0] = 0; 00168 current_dof_per_entity[3][0] = 0; 00169 00170 // tally dof on each facet. none on vertex or edge 00171 for (int i=0;i<6;i++) { 00172 total_dof_per_entity[2][i] = openBasis_.getCardinality() * openBasis_.getCardinality(); 00173 } 00174 00175 total_dof_per_entity[2][0] = this->getCardinality() - 6 * openBasis_.getCardinality()* openBasis_.getCardinality(); 00176 00177 int tagcur = 0; 00178 // loop over the x-component basis functions, which are (psi(x)phi(y)phi(z),0,0) 00179 // for psi in the closed basis and phi in the open 00180 for (int k=0;k<openBasis_.getCardinality();k++) { 00181 const int odimk = openDofTags[k][0]; 00182 const int oentk = openDofTags[k][1]; 00183 for (int j=0;j<openBasis_.getCardinality();j++) { 00184 const int odimj = openDofTags[j][0]; 00185 const int oentj = openDofTags[j][1]; 00186 for (int i=0;i<closedBasis_.getCardinality();i++) { 00187 const int cdim = closedDofTags[i][0]; 00188 const int cent = closedDofTags[i][1]; 00189 int dofdim; 00190 int dofent; 00191 ProductTopology::lineProduct3d(cdim,cent,odimj,oentj,odimk,oentk,dofdim,dofent); 00192 tags[4*tagcur] = dofdim; 00193 tags[4*tagcur+1] = dofent; 00194 tags[4*tagcur+2] = current_dof_per_entity[dofdim][dofent]; 00195 current_dof_per_entity[dofdim][dofent]++; 00196 tags[4*tagcur+3] = total_dof_per_entity[dofdim][dofent]; 00197 tagcur++; 00198 } 00199 } 00200 } 00201 00202 // now we have to do it for the y-component basis functions, which are 00203 // (0,phi(x)psi(y)phi(z),0) for psi in the closed basis and phi in the open 00204 for (int k=0;k<openBasis_.getCardinality();k++) { 00205 const int odimk = openDofTags[k][0]; 00206 const int oentk = openDofTags[k][1]; 00207 for (int j=0;j<closedBasis_.getCardinality();j++) { 00208 const int cdim = closedDofTags[j][0]; 00209 const int cent = closedDofTags[j][1]; 00210 for (int i=0;i<openBasis_.getCardinality();i++) { 00211 const int odimi = openDofTags[i][0]; 00212 const int oenti = openDofTags[i][1]; 00213 int dofdim; 00214 int dofent; 00215 ProductTopology::lineProduct3d(odimi,oenti,cdim,cent,odimk,oentk,dofdim,dofent); 00216 tags[4*tagcur] = dofdim; 00217 tags[4*tagcur+1] = dofent; 00218 tags[4*tagcur+2] = current_dof_per_entity[dofdim][dofent]; 00219 current_dof_per_entity[dofdim][dofent]++; 00220 tags[4*tagcur+3] = total_dof_per_entity[dofdim][dofent]; 00221 tagcur++; 00222 } 00223 } 00224 } 00225 00226 // now we have to do it for the z-component basis functions, which are 00227 // (0,0,phi(x)phi(y)psi(z)) for psi in the closed basis and phi in the open 00228 for (int k=0;k<closedBasis_.getCardinality();k++) { 00229 const int cdim = closedDofTags[k][0]; 00230 const int cent = closedDofTags[k][1]; 00231 for (int j=0;j<openBasis_.getCardinality();j++) { 00232 const int odimj = openDofTags[j][0]; 00233 const int oentj = openDofTags[j][1]; 00234 for (int i=0;i<openBasis_.getCardinality();i++) { 00235 const int odimi = openDofTags[i][0]; 00236 const int oenti = openDofTags[i][1]; 00237 int dofdim; 00238 int dofent; 00239 ProductTopology::lineProduct3d(odimi,oenti,odimj,oentj,cdim,cent,dofdim,dofent); 00240 tags[4*tagcur] = dofdim; 00241 tags[4*tagcur+1] = dofent; 00242 tags[4*tagcur+2] = current_dof_per_entity[dofdim][dofent]; 00243 current_dof_per_entity[dofdim][dofent]++; 00244 tags[4*tagcur+3] = total_dof_per_entity[dofdim][dofent]; 00245 tagcur++; 00246 } 00247 } 00248 } 00249 00250 // for (int i=0;i<this->getCardinality();i++) { 00251 // for (int j=0;j<4;j++) { 00252 // std::cout << tags[4*i+j] << " "; 00253 // } 00254 // std::cout << std::endl; 00255 // } 00256 00257 // Basis-independent function sets tag and enum data in tagToOrdinal_ and ordinalToTag_ arrays: 00258 Intrepid::setOrdinalTagData(this -> tagToOrdinal_, 00259 this -> ordinalToTag_, 00260 &(tags[0]), 00261 this -> basisCardinality_, 00262 tagSize, 00263 posScDim, 00264 posScOrd, 00265 posDfOrd); 00266 } 00267 00268 00269 template<class Scalar, class ArrayScalar> 00270 void Basis_HDIV_HEX_In_FEM<Scalar, ArrayScalar>::getValues(ArrayScalar & outputValues, 00271 const ArrayScalar & inputPoints, 00272 const EOperator operatorType) const { 00273 00274 // Verify arguments 00275 #ifdef HAVE_INTREPID_DEBUG 00276 Intrepid::getValues_HDIV_Args<Scalar, ArrayScalar>(outputValues, 00277 inputPoints, 00278 operatorType, 00279 this -> getBaseCellTopology(), 00280 this -> getCardinality() ); 00281 #endif 00282 00283 // Number of evaluation points = dim 0 of inputPoints 00284 int dim0 = inputPoints.dimension(0); 00285 00286 // separate out points 00287 FieldContainer<Scalar> xPoints(dim0,1); 00288 FieldContainer<Scalar> yPoints(dim0,1); 00289 FieldContainer<Scalar> zPoints(dim0,1); 00290 00291 00292 for (int i=0;i<dim0;i++) { 00293 xPoints(i,0) = inputPoints(i,0); 00294 yPoints(i,0) = inputPoints(i,1); 00295 zPoints(i,0) = inputPoints(i,2); 00296 } 00297 00298 switch (operatorType) { 00299 case OPERATOR_VALUE: 00300 { 00301 FieldContainer<Scalar> closedBasisValsXPts( closedBasis_.getCardinality() , dim0 ); 00302 FieldContainer<Scalar> closedBasisValsYPts( closedBasis_.getCardinality() , dim0 ); 00303 FieldContainer<Scalar> closedBasisValsZPts( closedBasis_.getCardinality() , dim0 ); 00304 FieldContainer<Scalar> openBasisValsXPts( openBasis_.getCardinality() , dim0 ); 00305 FieldContainer<Scalar> openBasisValsYPts( openBasis_.getCardinality() , dim0 ); 00306 FieldContainer<Scalar> openBasisValsZPts( openBasis_.getCardinality() , dim0 ); 00307 00308 closedBasis_.getValues( closedBasisValsXPts , xPoints , OPERATOR_VALUE ); 00309 closedBasis_.getValues( closedBasisValsYPts , yPoints , OPERATOR_VALUE ); 00310 closedBasis_.getValues( closedBasisValsZPts , zPoints , OPERATOR_VALUE ); 00311 openBasis_.getValues( openBasisValsXPts , xPoints , OPERATOR_VALUE ); 00312 openBasis_.getValues( openBasisValsYPts , yPoints , OPERATOR_VALUE ); 00313 openBasis_.getValues( openBasisValsZPts , zPoints , OPERATOR_VALUE ); 00314 00315 int bfcur = 0; 00316 // x component bfs are (closed(x) open(y) open(z),0,0) 00317 for (int k=0;k<openBasis_.getCardinality();k++) { 00318 for (int j=0;j<openBasis_.getCardinality();j++) { 00319 for (int i=0;i<closedBasis_.getCardinality();i++) { 00320 for (int l=0;l<dim0;l++) { 00321 outputValues(bfcur,l,0) = closedBasisValsXPts(i,l) * openBasisValsYPts(j,l) * openBasisValsZPts(k,l); 00322 outputValues(bfcur,l,1) = 0.0; 00323 outputValues(bfcur,l,2) = 0.0; 00324 } 00325 bfcur++; 00326 } 00327 } 00328 } 00329 00330 // y component bfs are (0,open(x) closed(y) open(z),0) 00331 for (int k=0;k<openBasis_.getCardinality();k++) { 00332 for (int j=0;j<closedBasis_.getCardinality();j++) { 00333 for (int i=0;i<openBasis_.getCardinality();i++) { 00334 for (int l=0;l<dim0;l++) { 00335 outputValues(bfcur,l,0) = 0.0; 00336 outputValues(bfcur,l,1) = openBasisValsXPts(i,l) * closedBasisValsYPts(j,l) * openBasisValsZPts(k,l); 00337 outputValues(bfcur,l,2) = 0.0; 00338 } 00339 bfcur++; 00340 } 00341 } 00342 } 00343 00344 // z component bfs are (0,0,open(x) open(y) closed(z)) 00345 for (int k=0;k<closedBasis_.getCardinality();k++) { 00346 for (int j=0;j<openBasis_.getCardinality();j++) { 00347 for (int i=0;i<openBasis_.getCardinality();i++) { 00348 for (int l=0;l<dim0;l++) { 00349 outputValues(bfcur,l,0) = 0.0; 00350 outputValues(bfcur,l,1) = 0.0; 00351 outputValues(bfcur,l,2) = openBasisValsXPts(i,l) * openBasisValsYPts(j,l) * closedBasisValsZPts(k,l); 00352 } 00353 bfcur++; 00354 } 00355 } 00356 } 00357 00358 00359 } 00360 break; 00361 case OPERATOR_DIV: 00362 { 00363 FieldContainer<Scalar> closedBasisDerivsXPts( closedBasis_.getCardinality() , dim0 , 1 ); 00364 FieldContainer<Scalar> closedBasisDerivsYPts( closedBasis_.getCardinality() , dim0 , 1 ); 00365 FieldContainer<Scalar> closedBasisDerivsZPts( closedBasis_.getCardinality() , dim0 , 1 ); 00366 FieldContainer<Scalar> openBasisValsXPts( openBasis_.getCardinality() , dim0 ); 00367 FieldContainer<Scalar> openBasisValsYPts( openBasis_.getCardinality() , dim0 ); 00368 FieldContainer<Scalar> openBasisValsZPts( openBasis_.getCardinality() , dim0 ); 00369 00370 closedBasis_.getValues( closedBasisDerivsXPts , xPoints , OPERATOR_D1 ); 00371 closedBasis_.getValues( closedBasisDerivsYPts , yPoints , OPERATOR_D1 ); 00372 closedBasis_.getValues( closedBasisDerivsZPts , zPoints , OPERATOR_D1 ); 00373 openBasis_.getValues( openBasisValsXPts , xPoints , OPERATOR_VALUE ); 00374 openBasis_.getValues( openBasisValsYPts , yPoints , OPERATOR_VALUE ); 00375 openBasis_.getValues( openBasisValsZPts , zPoints , OPERATOR_VALUE ); 00376 00377 int bfcur = 0; 00378 00379 // x component basis functions first 00380 for (int k=0;k<openBasis_.getCardinality();k++) { 00381 for (int j=0;j<openBasis_.getCardinality();j++) { 00382 for (int i=0;i<closedBasis_.getCardinality();i++) { 00383 for (int l=0;l<dim0;l++) { 00384 outputValues(bfcur,l) = closedBasisDerivsXPts(i,l,0) * openBasisValsYPts(j,l) * openBasisValsZPts(k,l); 00385 } 00386 bfcur++; 00387 } 00388 } 00389 } 00390 00391 // now y component basis functions 00392 for (int k=0;k<openBasis_.getCardinality();k++) { 00393 for (int j=0;j<closedBasis_.getCardinality();j++) { 00394 for (int i=0;i<openBasis_.getCardinality();i++) { 00395 for (int l=0;l<dim0;l++) { 00396 outputValues(bfcur,l) = openBasisValsXPts(i,l) * closedBasisDerivsYPts(j,l,0) * openBasisValsZPts(k,l); 00397 } 00398 bfcur++; 00399 } 00400 } 00401 } 00402 00403 // now z component basis functions 00404 for (int k=0;k<closedBasis_.getCardinality();k++) { 00405 for (int j=0;j<openBasis_.getCardinality();j++) { 00406 for (int i=0;i<openBasis_.getCardinality();i++) { 00407 for (int l=0;l<dim0;l++) { 00408 outputValues(bfcur,l) = openBasisValsXPts(i,l) * openBasisValsYPts(j,l) * closedBasisDerivsZPts(k,l,0); 00409 } 00410 bfcur++; 00411 } 00412 } 00413 } 00414 } 00415 break; 00416 case OPERATOR_CURL: 00417 TEUCHOS_TEST_FOR_EXCEPTION( (operatorType == OPERATOR_CURL), std::invalid_argument, 00418 ">>> ERROR (Basis_HDIV_HEX_In_FEM): CURL is invalid operator for HDIV Basis Functions"); 00419 break; 00420 00421 case OPERATOR_GRAD: 00422 TEUCHOS_TEST_FOR_EXCEPTION( (operatorType == OPERATOR_GRAD), std::invalid_argument, 00423 ">>> ERROR (Basis_HDIV_HEX_In_FEM): GRAD is invalid operator for HDIV Basis Functions"); 00424 break; 00425 00426 case OPERATOR_D1: 00427 case OPERATOR_D2: 00428 case OPERATOR_D3: 00429 case OPERATOR_D4: 00430 case OPERATOR_D5: 00431 case OPERATOR_D6: 00432 case OPERATOR_D7: 00433 case OPERATOR_D8: 00434 case OPERATOR_D9: 00435 case OPERATOR_D10: 00436 TEUCHOS_TEST_FOR_EXCEPTION( ( (operatorType == OPERATOR_D1) || 00437 (operatorType == OPERATOR_D2) || 00438 (operatorType == OPERATOR_D3) || 00439 (operatorType == OPERATOR_D4) || 00440 (operatorType == OPERATOR_D5) || 00441 (operatorType == OPERATOR_D6) || 00442 (operatorType == OPERATOR_D7) || 00443 (operatorType == OPERATOR_D8) || 00444 (operatorType == OPERATOR_D9) || 00445 (operatorType == OPERATOR_D10) ), 00446 std::invalid_argument, 00447 ">>> ERROR (Basis_HDIV_HEX_In_FEM): Invalid operator type"); 00448 break; 00449 00450 default: 00451 TEUCHOS_TEST_FOR_EXCEPTION( ( (operatorType != OPERATOR_VALUE) && 00452 (operatorType != OPERATOR_GRAD) && 00453 (operatorType != OPERATOR_CURL) && 00454 (operatorType != OPERATOR_DIV) && 00455 (operatorType != OPERATOR_D1) && 00456 (operatorType != OPERATOR_D2) && 00457 (operatorType != OPERATOR_D3) && 00458 (operatorType != OPERATOR_D4) && 00459 (operatorType != OPERATOR_D5) && 00460 (operatorType != OPERATOR_D6) && 00461 (operatorType != OPERATOR_D7) && 00462 (operatorType != OPERATOR_D8) && 00463 (operatorType != OPERATOR_D9) && 00464 (operatorType != OPERATOR_D10) ), 00465 std::invalid_argument, 00466 ">>> ERROR (Basis_HDIV_HEX_In_FEM): Invalid operator type"); 00467 } 00468 } 00469 00470 00471 00472 template<class Scalar, class ArrayScalar> 00473 void Basis_HDIV_HEX_In_FEM<Scalar, ArrayScalar>::getValues(ArrayScalar& outputValues, 00474 const ArrayScalar & inputPoints, 00475 const ArrayScalar & cellVertices, 00476 const EOperator operatorType) const { 00477 TEUCHOS_TEST_FOR_EXCEPTION( (true), std::logic_error, 00478 ">>> ERROR (Basis_HDIV_HEX_In_FEM): FEM Basis calling an FVD member function"); 00479 } 00480 00481 template<class Scalar, class ArrayScalar> 00482 void Basis_HDIV_HEX_In_FEM<Scalar,ArrayScalar>::getDofCoords(ArrayScalar & DofCoords) const 00483 { 00484 // x-component basis functions 00485 int cur = 0; 00486 00487 for (int k=0;k<openPts_.dimension(0);k++) 00488 { 00489 for (int j=0;j<openPts_.dimension(0);j++) 00490 { 00491 for (int i=0;i<closedPts_.dimension(0);i++) 00492 { 00493 DofCoords(cur,0) = closedPts_(i,0); 00494 DofCoords(cur,1) = openPts_(j,0); 00495 DofCoords(cur,2) = openPts_(k,0); 00496 cur++; 00497 } 00498 } 00499 } 00500 00501 // y-component basis functions 00502 for (int k=0;k<openPts_.dimension(0);k++) 00503 { 00504 for (int j=0;j<closedPts_.dimension(0);j++) 00505 { 00506 for (int i=0;i<openPts_.dimension(0);i++) 00507 { 00508 DofCoords(cur,0) = openPts_(i,0); 00509 DofCoords(cur,1) = closedPts_(j,0); 00510 DofCoords(cur,2) = openPts_(k,0); 00511 cur++; 00512 } 00513 } 00514 } 00515 00516 // z-component basis functions 00517 for (int k=0;k<closedPts_.dimension(0);k++) 00518 { 00519 for (int j=0;j<openPts_.dimension(0);j++) 00520 { 00521 for (int i=0;i<openPts_.dimension(0);i++) 00522 { 00523 DofCoords(cur,0) = openPts_(i,0); 00524 DofCoords(cur,1) = openPts_(j,0); 00525 DofCoords(cur,2) = closedPts_(k,0); 00526 cur++; 00527 } 00528 } 00529 } 00530 00531 00532 00533 return; 00534 } 00535 00536 }// namespace Intrepid
1.7.6.1