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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_TET_I1_FEM<Scalar,ArrayScalar>::Basis_HDIV_TET_I1_FEM() 00053 { 00054 this -> basisCardinality_ = 4; 00055 this -> basisDegree_ = 1; 00056 this -> basisCellTopology_ = shards::CellTopology(shards::getCellTopologyData<shards::Tetrahedron<4> >() ); 00057 this -> basisType_ = BASIS_FEM_DEFAULT; 00058 this -> basisCoordinates_ = COORDINATES_CARTESIAN; 00059 this -> basisTagsAreSet_ = false; 00060 } 00061 00062 template<class Scalar, class ArrayScalar> 00063 void Basis_HDIV_TET_I1_FEM<Scalar, ArrayScalar>::initializeTags() { 00064 00065 // Basis-dependent intializations 00066 int tagSize = 4; // size of DoF tag 00067 int posScDim = 0; // position in the tag, counting from 0, of the subcell dim 00068 int posScOrd = 1; // position in the tag, counting from 0, of the subcell ordinal 00069 int posDfOrd = 2; // position in the tag, counting from 0, of DoF ordinal relative to the subcell 00070 00071 // An array with local DoF tags assigned to basis functions, in the order of their local enumeration 00072 int tags[] = { 00073 2, 0, 0, 1, 00074 2, 1, 0, 1, 00075 2, 2, 0, 1, 00076 2, 3, 0, 1, 00077 }; 00078 00079 // Basis-independent function sets tag and enum data in tagToOrdinal_ and ordinalToTag_ arrays: 00080 Intrepid::setOrdinalTagData(this -> tagToOrdinal_, 00081 this -> ordinalToTag_, 00082 tags, 00083 this -> basisCardinality_, 00084 tagSize, 00085 posScDim, 00086 posScOrd, 00087 posDfOrd); 00088 } 00089 00090 00091 00092 template<class Scalar, class ArrayScalar> 00093 void Basis_HDIV_TET_I1_FEM<Scalar, ArrayScalar>::getValues(ArrayScalar & outputValues, 00094 const ArrayScalar & inputPoints, 00095 const EOperator operatorType) const { 00096 00097 // Verify arguments 00098 #ifdef HAVE_INTREPID_DEBUG 00099 Intrepid::getValues_HDIV_Args<Scalar, ArrayScalar>(outputValues, 00100 inputPoints, 00101 operatorType, 00102 this -> getBaseCellTopology(), 00103 this -> getCardinality() ); 00104 #endif 00105 00106 // Number of evaluation points = dim 0 of inputPoints 00107 int dim0 = inputPoints.dimension(0); 00108 00109 // Temporaries: (x,y,z) coordinates of the evaluation point 00110 Scalar x = 0.0; 00111 Scalar y = 0.0; 00112 Scalar z = 0.0; 00113 00114 switch (operatorType) { 00115 case OPERATOR_VALUE: 00116 for (int i0 = 0; i0 < dim0; i0++) { 00117 x = inputPoints(i0, 0); 00118 y = inputPoints(i0, 1); 00119 z = inputPoints(i0, 2); 00120 00121 // outputValues is a rank-3 array with dimensions (basisCardinality_, dim0, spaceDim) 00122 outputValues(0, i0, 0) = 2.0*x; 00123 outputValues(0, i0, 1) = 2.0*(y - 1.0); 00124 outputValues(0, i0, 2) = 2.0*z; 00125 00126 outputValues(1, i0, 0) = 2.0*x; 00127 outputValues(1, i0, 1) = 2.0*y; 00128 outputValues(1, i0, 2) = 2.0*z; 00129 00130 outputValues(2, i0, 0) = 2.0*(x - 1.0); 00131 outputValues(2, i0, 1) = 2.0*y; 00132 outputValues(2, i0, 2) = 2.0*z; 00133 00134 outputValues(3, i0, 0) = 2.0*x; 00135 outputValues(3, i0, 1) = 2.0*y; 00136 outputValues(3, i0, 2) = 2.0*(z - 1.0); 00137 } 00138 break; 00139 00140 case OPERATOR_DIV: 00141 // outputValues is a rank-2 array with dimensions (basisCardinality_, dim0) 00142 for (int i0 = 0; i0 < dim0; i0++) { 00143 outputValues(0, i0) = 6.0; 00144 outputValues(1, i0) = 6.0; 00145 outputValues(2, i0) = 6.0; 00146 outputValues(3, i0) = 6.0; 00147 } 00148 break; 00149 00150 case OPERATOR_CURL: 00151 TEUCHOS_TEST_FOR_EXCEPTION( (operatorType == OPERATOR_CURL), std::invalid_argument, 00152 ">>> ERROR (Basis_HDIV_TET_I1_FEM): CURL is invalid operator for HDIV Basis Functions"); 00153 break; 00154 00155 case OPERATOR_GRAD: 00156 TEUCHOS_TEST_FOR_EXCEPTION( (operatorType == OPERATOR_GRAD), std::invalid_argument, 00157 ">>> ERROR (Basis_HDIV_TET_I1_FEM): GRAD is invalid operator for HDIV Basis Functions"); 00158 break; 00159 00160 case OPERATOR_D1: 00161 case OPERATOR_D2: 00162 case OPERATOR_D3: 00163 case OPERATOR_D4: 00164 case OPERATOR_D5: 00165 case OPERATOR_D6: 00166 case OPERATOR_D7: 00167 case OPERATOR_D8: 00168 case OPERATOR_D9: 00169 case OPERATOR_D10: 00170 TEUCHOS_TEST_FOR_EXCEPTION( ( (operatorType == OPERATOR_D1) || 00171 (operatorType == OPERATOR_D2) || 00172 (operatorType == OPERATOR_D3) || 00173 (operatorType == OPERATOR_D4) || 00174 (operatorType == OPERATOR_D5) || 00175 (operatorType == OPERATOR_D6) || 00176 (operatorType == OPERATOR_D7) || 00177 (operatorType == OPERATOR_D8) || 00178 (operatorType == OPERATOR_D9) || 00179 (operatorType == OPERATOR_D10) ), 00180 std::invalid_argument, 00181 ">>> ERROR (Basis_HDIV_TET_I1_FEM): Invalid operator type"); 00182 break; 00183 00184 default: 00185 TEUCHOS_TEST_FOR_EXCEPTION( ( (operatorType != OPERATOR_VALUE) && 00186 (operatorType != OPERATOR_GRAD) && 00187 (operatorType != OPERATOR_CURL) && 00188 (operatorType != OPERATOR_DIV) && 00189 (operatorType != OPERATOR_D1) && 00190 (operatorType != OPERATOR_D2) && 00191 (operatorType != OPERATOR_D3) && 00192 (operatorType != OPERATOR_D4) && 00193 (operatorType != OPERATOR_D5) && 00194 (operatorType != OPERATOR_D6) && 00195 (operatorType != OPERATOR_D7) && 00196 (operatorType != OPERATOR_D8) && 00197 (operatorType != OPERATOR_D9) && 00198 (operatorType != OPERATOR_D10) ), 00199 std::invalid_argument, 00200 ">>> ERROR (Basis_HDIV_TET_I1_FEM): Invalid operator type"); 00201 } 00202 } 00203 00204 00205 00206 template<class Scalar, class ArrayScalar> 00207 void Basis_HDIV_TET_I1_FEM<Scalar, ArrayScalar>::getValues(ArrayScalar& outputValues, 00208 const ArrayScalar & inputPoints, 00209 const ArrayScalar & cellVertices, 00210 const EOperator operatorType) const { 00211 TEUCHOS_TEST_FOR_EXCEPTION( (true), std::logic_error, 00212 ">>> ERROR (Basis_HDIV_TET_I1_FEM): FEM Basis calling an FVD member function"); 00213 } 00214 00215 template<class Scalar, class ArrayScalar> 00216 void Basis_HDIV_TET_I1_FEM<Scalar, ArrayScalar>::getDofCoords(ArrayScalar & DofCoords) const { 00217 #ifdef HAVE_INTREPID_DEBUG 00218 // Verify rank of output array. 00219 TEUCHOS_TEST_FOR_EXCEPTION( !(DofCoords.rank() == 2), std::invalid_argument, 00220 ">>> ERROR: (Intrepid::Basis_HDIV_TET_I1_FEM::getDofCoords) rank = 2 required for DofCoords array"); 00221 // Verify 0th dimension of output array. 00222 TEUCHOS_TEST_FOR_EXCEPTION( !( DofCoords.dimension(0) == this -> basisCardinality_ ), std::invalid_argument, 00223 ">>> ERROR: (Intrepid::Basis_HDIV_TET_I1_FEM::getDofCoords) mismatch in number of DoF and 0th dimension of DofCoords array"); 00224 // Verify 1st dimension of output array. 00225 TEUCHOS_TEST_FOR_EXCEPTION( !( DofCoords.dimension(1) == (int)(this -> basisCellTopology_.getDimension()) ), std::invalid_argument, 00226 ">>> ERROR: (Intrepid::Basis_HDIV_TET_I1_FEM::getDofCoords) incorrect reference cell (1st) dimension in DofCoords array"); 00227 #endif 00228 00229 DofCoords(0,0) = 1.0/3.0; DofCoords(0,1) = 0.0; DofCoords(0,2) = 1.0/3.0; 00230 DofCoords(1,0) = 1.0/3.0; DofCoords(1,1) = 1.0/3.0; DofCoords(1,2) = 1.0/3.0; 00231 DofCoords(2,0) = 0.0; DofCoords(2,1) = 1.0/3.0; DofCoords(2,2) = 1.0/3.0; 00232 DofCoords(3,0) = 1.0/3.0; DofCoords(3,1) = 1.0/3.0; DofCoords(3,2) = 0.0; 00233 } 00234 00235 }// namespace Intrepid
1.7.6.1