Intrepid
http://trilinos.sandia.gov/packages/docs/r10.12/packages/intrepid/src/Discretization/Basis/Intrepid_HGRAD_TET_Cn_FEM_ORTH.hpp
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00004 //                           Intrepid Package
00005 //                 Copyright (2007) Sandia Corporation
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00042 // @HEADER
00043 
00049 #ifndef INTREPID_HGRAD_TET_Cn_FEM_ORTH_HPP
00050 #define INTREPID_HGRAD_TET_Cn_FEM_ORTH_HPP
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_TET_Cn_FEM_ORTH: public Basis<Scalar, ArrayScalar> {
00068 private:
00071   void initializeTags();
00072   
00073 public:
00074   
00078   Basis_HGRAD_TET_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 TabulatorTet
00120 {
00121 public:
00131   static void tabulate( ArrayScalar & outputValues ,
00132                         const int deg ,
00133                         const ArrayScalar &inputPoints );
00134 };
00135   
00136 
00141 template<typename Scalar,typename ArrayScalar>
00142 class TabulatorTet<Scalar,ArrayScalar,0>
00143 {
00144 public:
00153   static void tabulate( ArrayScalar & outputValues ,
00154                         const int deg ,
00155                         const ArrayScalar &inputPoints );
00156 
00162   static int idx(int p, int q,int r)
00163   {
00164     return (p+q+r)*(p+q+r+1)*(p+q+r+2)/6+(q+r)*(q+r+1)/2+r;
00165   }
00166 
00184   static void jrc( const Scalar &alpha , const Scalar &beta , 
00185                    const int &n ,
00186                    Scalar &an , Scalar &bn, Scalar &cn )
00187   
00188   {
00189     an = (2.0 * n + 1.0 + alpha + beta) * ( 2.0 * n + 2.0 + alpha + beta ) 
00190       / ( 2.0 * ( n + 1 ) * ( n + 1 + alpha + beta ) );
00191     bn = (alpha*alpha-beta*beta)*(2.0*n+1.0+alpha+beta) 
00192       / ( 2.0*(n+1.0)*(2.0*n+alpha+beta)*(n+1.0+alpha+beta) );
00193     cn = (n+alpha)*(n+beta)*(2.0*n+2.0+alpha+beta) 
00194       / ( (n+1.0)*(n+1.0+alpha+beta)*(2.0*n+alpha+beta) );
00195   
00196   return;
00197   }
00198   
00199 
00200     
00201 };
00202 
00209 template<typename Scalar,typename ArrayScalar>
00210 class TabulatorTet<Scalar,ArrayScalar,1>
00211 {
00212 public:
00222   static void tabulate( ArrayScalar & outputValues ,
00223                         const int deg ,
00224                         const ArrayScalar &inputPoints );
00225     
00226 };
00227 
00228 
00229 
00230 }// namespace Intrepid
00231 
00232 #include "Intrepid_HGRAD_TET_Cn_FEM_ORTHDef.hpp"
00233 
00234 #endif
00235