Intrepid
http://trilinos.sandia.gov/packages/docs/r10.10/packages/intrepid/src/Discretization/Basis/Intrepid_HGRAD_TRI_Cn_FEM_ORTH.hpp
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00004 //                           Intrepid Package
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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