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Intrepid
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00001 #ifndef INTREPID_HGRAD_TRI_C2_FEMDEF_HPP 00002 #define INTREPID_HGRAD_TRI_C2_FEMDEF_HPP 00003 // @HEADER 00004 // ************************************************************************ 00005 // 00006 // Intrepid Package 00007 // Copyright (2007) Sandia Corporation 00008 // 00009 // Under terms of Contract DE-AC04-94AL85000, there is a non-exclusive 00010 // license for use of this work by or on behalf of the U.S. Government. 00011 // 00012 // Redistribution and use in source and binary forms, with or without 00013 // modification, are permitted provided that the following conditions are 00014 // met: 00015 // 00016 // 1. Redistributions of source code must retain the above copyright 00017 // notice, this list of conditions and the following disclaimer. 00018 // 00019 // 2. Redistributions in binary form must reproduce the above copyright 00020 // notice, this list of conditions and the following disclaimer in the 00021 // documentation and/or other materials provided with the distribution. 00022 // 00023 // 3. Neither the name of the Corporation nor the names of the 00024 // contributors may be used to endorse or promote products derived from 00025 // this software without specific prior written permission. 00026 // 00027 // THIS SOFTWARE IS PROVIDED BY SANDIA CORPORATION "AS IS" AND ANY 00028 // EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 00029 // IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR 00030 // PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL SANDIA CORPORATION OR THE 00031 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, 00032 // EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 00033 // PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 00034 // PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF 00035 // LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING 00036 // NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 00037 // SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 00038 // 00039 // Questions? Contact Pavel Bochev (pbboche@sandia.gov) 00040 // Denis Ridzal (dridzal@sandia.gov), or 00041 // Kara Peterson (kjpeter@sandia.gov) 00042 // 00043 // ************************************************************************ 00044 // @HEADER 00045 00051 namespace Intrepid { 00052 00053 00054 template<class Scalar, class ArrayScalar> 00055 Basis_HGRAD_TRI_C2_FEM<Scalar,ArrayScalar>::Basis_HGRAD_TRI_C2_FEM() 00056 { 00057 this -> basisCardinality_ = 6; 00058 this -> basisDegree_ = 2; 00059 this -> basisCellTopology_ = shards::CellTopology(shards::getCellTopologyData<shards::Triangle<3> >() ); 00060 this -> basisType_ = BASIS_FEM_DEFAULT; 00061 this -> basisCoordinates_ = COORDINATES_CARTESIAN; 00062 this -> basisTagsAreSet_ = false; 00063 } 00064 00065 00066 00067 template<class Scalar, class ArrayScalar> 00068 void Basis_HGRAD_TRI_C2_FEM<Scalar, ArrayScalar>::initializeTags() { 00069 00070 // Basis-dependent initializations 00071 int tagSize = 4; // size of DoF tag, i.e., number of fields in the tag 00072 int posScDim = 0; // position in the tag, counting from 0, of the subcell dim 00073 int posScOrd = 1; // position in the tag, counting from 0, of the subcell ordinal 00074 int posDfOrd = 2; // position in the tag, counting from 0, of DoF ordinal relative to the subcell 00075 00076 // An array with local DoF tags assigned to the basis functions, in the order of their local enumeration 00077 int tags[] = { 0, 0, 0, 1, 00078 0, 1, 0, 1, 00079 0, 2, 0, 1, 00080 1, 0, 0, 1, 00081 1, 1, 0, 1, 00082 1, 2, 0, 1}; 00083 00084 // Basis-independent function sets tag and enum data in tagToOrdinal_ and ordinalToTag_ arrays: 00085 Intrepid::setOrdinalTagData(this -> tagToOrdinal_, 00086 this -> ordinalToTag_, 00087 tags, 00088 this -> basisCardinality_, 00089 tagSize, 00090 posScDim, 00091 posScOrd, 00092 posDfOrd); 00093 } 00094 00095 00096 00097 template<class Scalar, class ArrayScalar> 00098 void Basis_HGRAD_TRI_C2_FEM<Scalar, ArrayScalar>::getValues(ArrayScalar & outputValues, 00099 const ArrayScalar & inputPoints, 00100 const EOperator operatorType) const { 00101 00102 // Verify arguments 00103 #ifdef HAVE_INTREPID_DEBUG 00104 Intrepid::getValues_HGRAD_Args<Scalar, ArrayScalar>(outputValues, 00105 inputPoints, 00106 operatorType, 00107 this -> getBaseCellTopology(), 00108 this -> getCardinality() ); 00109 #endif 00110 00111 // Number of evaluation points = dim 0 of inputPoints 00112 int dim0 = inputPoints.dimension(0); 00113 00114 // Temporaries: (x,y) coordinates of the evaluation point 00115 Scalar x = 0.0; 00116 Scalar y = 0.0; 00117 00118 switch (operatorType) { 00119 00120 case OPERATOR_VALUE: 00121 for (int i0 = 0; i0 < dim0; i0++) { 00122 x = inputPoints(i0, 0); 00123 y = inputPoints(i0, 1); 00124 00125 // outputValues is a rank-2 array with dimensions (basisCardinality_, dim0) 00126 outputValues(0, i0) = (x + y - 1.0)*(2.0*x + 2.0*y - 1.0); 00127 outputValues(1, i0) = x*(2.0*x - 1.0); 00128 outputValues(2, i0) = y*(2.0*y - 1.0); 00129 outputValues(3, i0) = -4.0*x*(x + y - 1.0); 00130 outputValues(4, i0) = 4.0*x*y; 00131 outputValues(5, i0) = -4.0*y*(x + y - 1.0); 00132 00133 } 00134 break; 00135 00136 case OPERATOR_GRAD: 00137 case OPERATOR_D1: 00138 for (int i0 = 0; i0 < dim0; i0++) { 00139 x = inputPoints(i0, 0); 00140 y = inputPoints(i0, 1); 00141 00142 // outputValues is a rank-3 array with dimensions (basisCardinality_, dim0, spaceDim) 00143 outputValues(0, i0, 0) = 4.0*x + 4.0*y - 3.0; 00144 outputValues(0, i0, 1) = 4.0*x + 4.0*y - 3.0; 00145 00146 outputValues(1, i0, 0) = 4.0*x - 1.0; 00147 outputValues(1, i0, 1) = 0.0; 00148 00149 outputValues(2, i0, 0) = 0.0; 00150 outputValues(2, i0, 1) = 4.0*y - 1.0; 00151 00152 outputValues(3, i0, 0) = -4.0*(2.0*x + y - 1.0); 00153 outputValues(3, i0, 1) = -4.0*x; 00154 00155 outputValues(4, i0, 0) = 4.0*y; 00156 outputValues(4, i0, 1) = 4.0*x; 00157 00158 outputValues(5, i0, 0) = -4.0*y; 00159 outputValues(5, i0, 1) = -4.0*(x + 2.0*y - 1.0); 00160 } 00161 break; 00162 00163 case OPERATOR_CURL: 00164 for (int i0 = 0; i0 < dim0; i0++) { 00165 x = inputPoints(i0, 0); 00166 y = inputPoints(i0, 1); 00167 00168 // CURL(u) = (u_y, -u_x), is rotated GRAD 00169 outputValues(0, i0, 1) =-(4.0*x + 4.0*y - 3.0); 00170 outputValues(0, i0, 0) = 4.0*x + 4.0*y - 3.0; 00171 00172 outputValues(1, i0, 1) =-(4.0*x - 1.0); 00173 outputValues(1, i0, 0) = 0.0; 00174 00175 outputValues(2, i0, 1) = 0.0; 00176 outputValues(2, i0, 0) = 4.0*y - 1.0; 00177 00178 outputValues(3, i0, 1) = 4.0*(2.0*x + y - 1.0); 00179 outputValues(3, i0, 0) = -4.0*x; 00180 00181 outputValues(4, i0, 1) = -4.0*y; 00182 outputValues(4, i0, 0) = 4.0*x; 00183 00184 outputValues(5, i0, 1) = 4.0*y; 00185 outputValues(5, i0, 0) = -4.0*(x + 2.0*y - 1.0); 00186 } 00187 break; 00188 00189 case OPERATOR_DIV: 00190 TEUCHOS_TEST_FOR_EXCEPTION( (operatorType == OPERATOR_DIV), std::invalid_argument, 00191 ">>> ERROR (Basis_HGRAD_TRI_C2_FEM): DIV is invalid operator for rank-0 (scalar) fields in 2D."); 00192 break; 00193 00194 case OPERATOR_D2: 00195 for (int i0 = 0; i0 < dim0; i0++) { 00196 // outputValues is a rank-3 array with dimensions (basisCardinality_, dim0, DkCardinality) 00197 // D2 -> (2,0) -> dx^2. 00198 outputValues(0, i0, 0) = 4.0; 00199 outputValues(1, i0, 0) = 4.0; 00200 outputValues(2, i0, 0) = 0.0; 00201 outputValues(3, i0, 0) =-8.0; 00202 outputValues(4, i0, 0) = 0.0; 00203 outputValues(5, i0, 0) = 0.0; 00204 00205 // D2 -> (1,1) -> dx dy 00206 outputValues(0, i0, 1) = 4.0; 00207 outputValues(1, i0, 1) = 0.0; 00208 outputValues(2, i0, 1) = 0.0; 00209 outputValues(3, i0, 1) =-4.0; 00210 outputValues(4, i0, 1) = 4.0; 00211 outputValues(5, i0, 1) =-4.0; 00212 00213 // D2 -> (0,2) -> dy^2 00214 outputValues(0, i0, 2) = 4.0; 00215 outputValues(1, i0, 2) = 0.0; 00216 outputValues(2, i0, 2) = 4.0; 00217 outputValues(3, i0, 2) = 0.0; 00218 outputValues(4, i0, 2) = 0.0; 00219 outputValues(5, i0, 2) =-8.0; 00220 }// for i0 00221 break; 00222 00223 case OPERATOR_D3: 00224 case OPERATOR_D4: 00225 case OPERATOR_D5: 00226 case OPERATOR_D6: 00227 case OPERATOR_D7: 00228 case OPERATOR_D8: 00229 case OPERATOR_D9: 00230 case OPERATOR_D10: 00231 { 00232 // outputValues is a rank-3 array with dimensions (basisCardinality_, dim0, DkCardinality) 00233 int DkCardinality = Intrepid::getDkCardinality(operatorType, 00234 this -> basisCellTopology_.getDimension() ); 00235 for(int dofOrd = 0; dofOrd < this -> basisCardinality_; dofOrd++) { 00236 for (int i0 = 0; i0 < dim0; i0++) { 00237 for(int dkOrd = 0; dkOrd < DkCardinality; dkOrd++){ 00238 outputValues(dofOrd, i0, dkOrd) = 0.0; 00239 } 00240 } 00241 } 00242 } 00243 break; 00244 00245 default: 00246 TEUCHOS_TEST_FOR_EXCEPTION( !( Intrepid::isValidOperator(operatorType) ), std::invalid_argument, 00247 ">>> ERROR (Basis_HGRAD_TRI_C2_FEM): Invalid operator type"); 00248 } 00249 } 00250 00251 00252 00253 template<class Scalar, class ArrayScalar> 00254 void Basis_HGRAD_TRI_C2_FEM<Scalar, ArrayScalar>::getValues(ArrayScalar& outputValues, 00255 const ArrayScalar & inputPoints, 00256 const ArrayScalar & cellVertices, 00257 const EOperator operatorType) const { 00258 TEUCHOS_TEST_FOR_EXCEPTION( (true), std::logic_error, 00259 ">>> ERROR (Basis_HGRAD_TRI_C2_FEM): FEM Basis calling an FVD member function"); 00260 } 00261 00262 00263 }// namespace Intrepid 00264 #endif
1.7.6.1