dune-localfunctions
2.2.0
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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/common/fmatrix.hh> 00006 00007 #include <dune/localfunctions/common/localbasis.hh> 00008 00009 00010 namespace Dune 00011 { 00022 template<class D, class R> 00023 class PyramidP1LocalBasis 00024 { 00025 public: 00027 typedef LocalBasisTraits<D,3,Dune::FieldVector<D,3>,R,1,Dune::FieldVector<R,1>, 00028 Dune::FieldMatrix<R,1,3> > Traits; 00029 00031 unsigned int size () const 00032 { 00033 return 5; 00034 } 00035 00037 inline void evaluateFunction (const typename Traits::DomainType& in, // position 00038 std::vector<typename Traits::RangeType>& out) const // return value 00039 { 00040 out.resize(5); 00041 00042 if(in[0] > in[1]) 00043 { 00044 out[0] = (1-in[0])*(1-in[1])-in[2]*(1-in[1]); 00045 out[1] = in[0]*(1-in[1])-in[2]*in[1]; 00046 out[2] = (1-in[0])*in[1]-in[2]*in[1]; 00047 out[3] = in[0]*in[1]+in[2]*in[1]; 00048 } 00049 else 00050 { 00051 out[0] = (1-in[0])*(1-in[1])-in[2]*(1-in[0]); 00052 out[1] = in[0]*(1-in[1])-in[2]*in[0]; 00053 out[2] = (1-in[0])*in[1]-in[2]*in[0]; 00054 out[3] = in[0]*in[1]+in[2]*in[0]; 00055 } 00056 00057 00058 out[4] = in[2]; 00059 00060 00061 } 00062 00064 inline void 00065 evaluateJacobian (const typename Traits::DomainType& in, // position 00066 std::vector<typename Traits::JacobianType>& out) const // return value 00067 { 00068 out.resize(5); 00069 00070 if(in[0] > in[1]) 00071 { 00072 out[0][0][0] = -1 + in[1]; out[0][0][1] = -1 + in[0] + in[2]; out[0][0][2] = -1 + in[1]; 00073 out[1][0][0] = 1 - in[1]; out[1][0][1] = -in[0] - in[2]; out[1][0][2] = -in[1]; 00074 out[2][0][0] = -in[1]; out[2][0][1] = 1 - in[0] - in[2]; out[2][0][2] = -in[1]; 00075 out[3][0][0] = in[1]; out[3][0][1] = in[0]+in[2]; out[3][0][2] = in[1]; 00076 } 00077 else 00078 { 00079 out[0][0][0] = -1 + in[1] + in[2]; out[0][0][1] = -1 + in[0]; out[0][0][2] = -1 + in[0]; 00080 out[1][0][0] = 1 - in[1] - in[2]; out[1][0][1] = -in[0]; out[1][0][2] = -in[0]; 00081 out[2][0][0] = -in[1] - in[2]; out[2][0][1] = 1 - in[0]; out[2][0][2] = -in[0]; 00082 out[3][0][0] = in[1] + in[2]; out[3][0][1] = in[0]; out[3][0][2] = in[0]; 00083 00084 } 00085 00086 out[4][0][0] = 0; out[4][0][1] = 0; out[4][0][2] = 1; 00087 } 00088 00090 unsigned int order () const 00091 { 00092 return 1; 00093 } 00094 }; 00095 } 00096 #endif