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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 #ifndef INTREPID_HGRAD_TRI_Cn_FEM_ORTHHPP 00050 #define INTREPID_HGRAD_TRI_Cn_FEM_ORTHHPP 00051 00052 #include "Intrepid_Basis.hpp" 00053 #include "Sacado.hpp" 00054 00055 namespace Intrepid { 00056 00066 template<class Scalar, class ArrayScalar> 00067 class Basis_HGRAD_TRI_Cn_FEM_ORTH: public Basis<Scalar, ArrayScalar> { 00068 private: 00071 void initializeTags(); 00072 00073 public: 00074 00078 Basis_HGRAD_TRI_Cn_FEM_ORTH( int degree ); 00079 00080 00091 void getValues(ArrayScalar & outputValues, 00092 const ArrayScalar & inputPoints, 00093 const EOperator operatorType) const; 00094 00095 00098 void getValues(ArrayScalar & outputValues, 00099 const ArrayScalar & inputPoints, 00100 const ArrayScalar & cellVertices, 00101 const EOperator operatorType = OPERATOR_VALUE) const; 00102 00103 }; 00104 00118 template<typename Scalar,typename ArrayScalar, unsigned derivOrder> 00119 class TabulatorTri 00120 { 00121 public: 00131 static void tabulate( ArrayScalar & outputValues , 00132 const int deg , 00133 const ArrayScalar &inputPoints ); 00134 00135 00136 }; 00137 00138 00139 00144 template<typename Scalar,typename ArrayScalar> 00145 class TabulatorTri<Scalar,ArrayScalar,0> 00146 { 00147 public: 00156 static void tabulate( ArrayScalar & outputValues , 00157 const int deg , 00158 const ArrayScalar &inputPoints ); 00159 00165 static int idx(int p, int q) 00166 { 00167 return (p+q)*(p+q+1)/2+q; 00168 } 00169 00188 static void jrc(const Scalar &alpha , const Scalar &beta , 00189 const int &n , 00190 Scalar &an , Scalar &bn, Scalar &cn ) 00191 { 00192 an = (2.0 * n + 1.0 + alpha + beta) * ( 2.0 * n + 2.0 + alpha + beta ) 00193 / ( 2.0 * ( n + 1 ) * ( n + 1 + alpha + beta ) ); 00194 bn = (alpha*alpha-beta*beta)*(2.0*n+1.0+alpha+beta) 00195 / ( 2.0*(n+1.0)*(2.0*n+alpha+beta)*(n+1.0+alpha+beta) ); 00196 cn = (n+alpha)*(n+beta)*(2.0*n+2.0+alpha+beta) 00197 / ( (n+1.0)*(n+1.0+alpha+beta)*(2.0*n+alpha+beta) ); 00198 00199 return; 00200 } 00201 00202 00203 00204 }; 00205 00212 template<typename Scalar,typename ArrayScalar> 00213 class TabulatorTri<Scalar,ArrayScalar,1> 00214 { 00215 public: 00225 static void tabulate( ArrayScalar & outputValues , 00226 const int deg , 00227 const ArrayScalar &inputPoints ); 00228 00229 }; 00230 00231 00232 00233 }// namespace Intrepid 00234 00235 #include "Intrepid_HGRAD_TRI_Cn_FEM_ORTHDef.hpp" 00236 00237 #endif 00238
1.7.6.1