dune-localfunctions
2.2.0
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00001 #ifndef DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1TRIANGLELOCALBASIS_HH 00002 #define DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1TRIANGLELOCALBASIS_HH 00003 00004 #include <vector> 00005 00006 #include <dune/common/fmatrix.hh> 00007 00008 #include "../../common/localbasis.hh" 00009 00010 namespace Dune 00011 { 00021 template<class D, class R> 00022 class BDM12DLocalBasis 00023 { 00024 00025 public: 00026 typedef LocalBasisTraits<D,2,Dune::FieldVector<D,2>,R,2,Dune::FieldVector<R,2>, 00027 Dune::FieldMatrix<R,2,2> > Traits; 00028 00030 BDM12DLocalBasis () 00031 { 00032 sign0 = sign1 = sign2 = 1.0; 00033 } 00034 00040 BDM12DLocalBasis (unsigned int s) 00041 { 00042 sign0 = sign1 = sign2 = 1.0; 00043 if (s & 1) 00044 { 00045 sign0 = -1.0; 00046 } 00047 if (s & 2) 00048 { 00049 sign1 = -1.0; 00050 } 00051 if (s & 4) 00052 { 00053 sign2 = -1.0; 00054 } 00055 } 00056 00058 unsigned int size () const 00059 { 00060 return 6; 00061 } 00062 00069 inline void evaluateFunction (const typename Traits::DomainType& in, 00070 std::vector<typename Traits::RangeType>& out) const 00071 { 00072 out.resize(6); 00073 00074 out[0][0] = sign0*in[0]; 00075 out[0][1] = sign0*(in[1] - 1.0); 00076 out[1][0] = sign1*(in[0] - 1.0); 00077 out[1][1] = sign1*in[1]; 00078 out[2][0] = sign2*in[0]; 00079 out[2][1] = sign2*in[1]; 00080 out[3][0] = 3.0*in[0]; 00081 out[3][1] = 3.0 - 6.0*in[0] - 3.0*in[1]; 00082 out[4][0] = -3.0 + 3.0*in[0] + 6.0*in[1]; 00083 out[4][1] = -3.0*in[1]; 00084 out[5][0] = -3.0*in[0]; 00085 out[5][1] = 3.0*in[1]; 00086 } 00087 00094 inline void evaluateJacobian (const typename Traits::DomainType& in, 00095 std::vector<typename Traits::JacobianType>& out) const 00096 { 00097 out.resize(6); 00098 00099 out[0][0][0] = sign0; 00100 out[0][0][1] = 0.0; 00101 out[0][1][0] = 0.0; 00102 out[0][1][1] = sign0; 00103 00104 out[1][0][0] = sign1; 00105 out[1][0][1] = 0.0; 00106 out[1][1][0] = 0.0; 00107 out[1][1][1] = sign1; 00108 00109 out[2][0][0] = sign2; 00110 out[2][0][1] = 0.0; 00111 out[2][1][0] = 0.0; 00112 out[2][1][1] = sign2; 00113 00114 out[3][0][0] = 3.0; 00115 out[3][0][1] = 0.0; 00116 out[3][1][0] = -6.0; 00117 out[3][1][1] = -3.0; 00118 00119 out[4][0][0] = 3.0; 00120 out[4][0][1] = 6.0; 00121 out[4][1][0] = 0.0; 00122 out[4][1][1] = -3.0; 00123 00124 out[5][0][0] = -3.0; 00125 out[5][0][1] = 0.0; 00126 out[5][1][0] = 0.0; 00127 out[5][1][1] = 3.0; 00128 } 00129 00131 unsigned int order () const 00132 { 00133 return 1; 00134 } 00135 00136 private: 00137 R sign0, sign1, sign2; 00138 }; 00139 } 00140 #endif // DUNE_LOCALFUNCTIONS_BREZZIDOUGLASMARINI1TRIANGLELOCALBASIS_HH