dune-localfunctions
2.1.1
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00001 // -*- tab-width: 4; indent-tabs-mode: nil -*- 00002 #ifndef DUNE_PYRAMID_P1_LOCALBASIS_HH 00003 #define DUNE_PYRAMID_P1_LOCALBASIS_HH 00004 00005 #include <dune/localfunctions/common/localbasis.hh> 00006 00007 00008 namespace Dune 00009 { 00020 template<class D, class R> 00021 class PyramidP1LocalBasis 00022 { 00023 public: 00025 typedef LocalBasisTraits<D,3,Dune::FieldVector<D,3>,R,1,Dune::FieldVector<R,1>, 00026 Dune::FieldMatrix<R,1,3> > Traits; 00027 00029 unsigned int size () const 00030 { 00031 return 5; 00032 } 00033 00035 inline void evaluateFunction (const typename Traits::DomainType& in, // position 00036 std::vector<typename Traits::RangeType>& out) const // return value 00037 { 00038 out.resize(5); 00039 00040 if(in[0] > in[1]) 00041 { 00042 out[0] = (1-in[0])*(1-in[1])-in[2]*(1-in[1]); 00043 out[1] = in[0]*(1-in[1])-in[2]*in[1]; 00044 out[2] = (1-in[0])*in[1]-in[2]*in[1]; 00045 out[3] = in[0]*in[1]+in[2]*in[1]; 00046 } 00047 else 00048 { 00049 out[0] = (1-in[0])*(1-in[1])-in[2]*(1-in[0]); 00050 out[1] = in[0]*(1-in[1])-in[2]*in[0]; 00051 out[2] = (1-in[0])*in[1]-in[2]*in[0]; 00052 out[3] = in[0]*in[1]+in[2]*in[0]; 00053 } 00054 00055 00056 out[4] = in[2]; 00057 00058 00059 } 00060 00062 inline void 00063 evaluateJacobian (const typename Traits::DomainType& in, // position 00064 std::vector<typename Traits::JacobianType>& out) const // return value 00065 { 00066 out.resize(5); 00067 00068 if(in[0] > in[1]) 00069 { 00070 out[0][0][0] = -1 + in[1]; out[0][0][1] = -1 + in[0] + in[2]; out[0][0][2] = -1 + in[1]; 00071 out[1][0][0] = 1 - in[1]; out[1][0][1] = -in[0] - in[2]; out[1][0][2] = -in[1]; 00072 out[2][0][0] = -in[1]; out[2][0][1] = 1 - in[0] - in[2]; out[2][0][2] = -in[1]; 00073 out[3][0][0] = in[1]; out[3][0][1] = in[0]+in[2]; out[3][0][2] = in[1]; 00074 } 00075 else 00076 { 00077 out[0][0][0] = -1 + in[1] + in[2]; out[0][0][1] = -1 + in[0]; out[0][0][2] = -1 + in[0]; 00078 out[1][0][0] = 1 - in[1] - in[2]; out[1][0][1] = -in[0]; out[1][0][2] = -in[0]; 00079 out[2][0][0] = -in[1] - in[2]; out[2][0][1] = 1 - in[0]; out[2][0][2] = -in[0]; 00080 out[3][0][0] = in[1] + in[2]; out[3][0][1] = in[0]; out[3][0][2] = in[0]; 00081 00082 } 00083 00084 out[4][0][0] = 0; out[4][0][1] = 0; out[4][0][2] = 1; 00085 } 00086 00088 unsigned int order () const 00089 { 00090 return 1; 00091 } 00092 }; 00093 } 00094 #endif