dune-localfunctions
2.1.1
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00001 #ifndef DUNE_RT02DLOCALINTERPOLATION_HH 00002 #define DUNE_RT02DLOCALINTERPOLATION_HH 00003 00004 #include <cmath> 00005 #include <vector> 00006 #include <dune/common/exceptions.hh> 00007 00008 namespace Dune 00009 { 00010 template<class LB> 00011 class RT02DLocalInterpolation 00012 { 00013 public: 00014 00016 RT02DLocalInterpolation () 00017 { 00018 } 00019 00021 RT02DLocalInterpolation (unsigned int s) 00022 { 00023 sign0 = sign1 = sign2 = 1.0; 00024 if (s&1) sign0 *= -1.0; 00025 if (s&2) sign1 *= -1.0; 00026 if (s&4) sign2 *= -1.0; 00027 m0[0] = 0.5; m0[1] = 0.0; 00028 m1[0] = 0.0; m1[1] = 0.5; 00029 m2[0] = 0.5; m2[1] = 0.5; 00030 n0[0] = 0.0; n0[1] = -1.0; 00031 n1[0] = -1.0; n1[1] = 0.0; 00032 n2[0] = 1.0/sqrt(2.0); n2[1] = 1.0/sqrt(2.0); 00033 c0 = ( 0.5*n0[0] - 1.0*n0[1]); 00034 c1 = (-1.0*n1[0] + 0.5*n1[1]); 00035 c2 = ( 0.5*n2[0] + 0.5*n2[1]); 00036 } 00037 00038 template<typename F, typename C> 00039 void interpolate (const F& f, std::vector<C>& out) const 00040 { 00041 // f gives v*outer normal at a point on the edge! 00042 typename F::Traits::RangeType y; 00043 00044 out.resize(3); 00045 00046 f.evaluate(m0,y); out[0] = (y[0]*n0[0]+y[1]*n0[1])*sign0/c0; 00047 f.evaluate(m1,y); out[1] = (y[0]*n1[0]+y[1]*n1[1])*sign1/c1; 00048 f.evaluate(m2,y); out[2] = (y[0]*n2[0]+y[1]*n2[1])*sign2/c2; 00049 } 00050 00051 private: 00052 typename LB::Traits::RangeFieldType sign0,sign1,sign2; 00053 typename LB::Traits::DomainType m0,m1,m2; 00054 typename LB::Traits::DomainType n0,n1,n2; 00055 typename LB::Traits::RangeFieldType c0,c1,c2; 00056 }; 00057 } 00058 00059 #endif