prismp1localbasis.hh
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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,
00051 std::vector<typename Traits::JacobianType>& out) const
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;
00055 out[1][0][0] = 1-in[2]; out[1][0][1] = 0; out[1][0][2] = -in[0];
00056 out[2][0][0] = 0; out[2][0][1] = 1-in[2]; out[2][0][2] = -in[1];
00057 out[3][0][0] = -in[2]; out[3][0][1] = -in[2]; out[3][0][2] = 1-in[0]-in[1];
00058 out[4][0][0] = in[2]; out[4][0][1] = 0; out[4][0][2] = in[0];
00059 out[5][0][0] = 0; out[5][0][1] = in[2]; out[5][0][2] = in[1];
00060 }
00061
00063 unsigned int order () const
00064 {
00065 return 1;
00066 }
00067 };
00068 }
00069 #endif