dune-localfunctions
2.1.1
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00001 // -*- tab-width: 4; indent-tabs-mode: nil -*- 00002 #ifndef DUNE_PRISM_P1_LOCALBASIS_HH 00003 #define DUNE_PRISM_P1_LOCALBASIS_HH 00004 00005 #include <dune/common/fmatrix.hh> 00006 00007 #include <dune/localfunctions/common/localbasis.hh> 00008 00009 namespace Dune 00010 { 00021 template<class D, class R> 00022 class PrismP1LocalBasis 00023 { 00024 public: 00026 typedef LocalBasisTraits<D,3,Dune::FieldVector<D,3>,R,1,Dune::FieldVector<R,1>, 00027 Dune::FieldMatrix<R,1,3> > Traits; 00028 00030 unsigned int size () const 00031 { 00032 return 6; 00033 } 00034 00036 inline void evaluateFunction (const typename Traits::DomainType& in, 00037 std::vector<typename Traits::RangeType>& out) const 00038 { 00039 out.resize(6); 00040 out[0] = (1.0-in[0]-in[1])*(1.0-in[2]); 00041 out[1] = in[0]*(1-in[2]); 00042 out[2] = in[1]*(1-in[2]); 00043 out[3] = in[2]*(1.0-in[0]-in[1]); 00044 out[4] = in[0]*in[2]; 00045 out[5] = in[1]*in[2]; 00046 } 00047 00049 inline void 00050 evaluateJacobian (const typename Traits::DomainType& in, // position 00051 std::vector<typename Traits::JacobianType>& out) const // return value 00052 { 00053 out.resize(6); 00054 out[0][0][0] = in[2]-1; out[0][0][1] = in[2]-1; out[0][0][2] = in[0]+in[1]-1; // basis function 0 00055 out[1][0][0] = 1-in[2]; out[1][0][1] = 0; out[1][0][2] = -in[0]; // basis function 1 00056 out[2][0][0] = 0; out[2][0][1] = 1-in[2]; out[2][0][2] = -in[1]; // basis function 2 00057 out[3][0][0] = -in[2]; out[3][0][1] = -in[2]; out[3][0][2] = 1-in[0]-in[1]; // basis function 3 00058 out[4][0][0] = in[2]; out[4][0][1] = 0; out[4][0][2] = in[0]; // basis function 4 00059 out[5][0][0] = 0; out[5][0][1] = in[2]; out[5][0][2] = in[1]; // basis function 5 00060 } 00061 00063 unsigned int order () const 00064 { 00065 return 1; 00066 } 00067 }; 00068 } 00069 #endif