dune-localfunctions  2.1.1
pyramidp1localbasis.hh
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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/localfunctions/common/localbasis.hh>
00006 
00007 
00008 namespace Dune
00009 {
00020   template<class D, class R>
00021   class PyramidP1LocalBasis
00022   {
00023   public:
00025                 typedef LocalBasisTraits<D,3,Dune::FieldVector<D,3>,R,1,Dune::FieldVector<R,1>,
00026                                                                    Dune::FieldMatrix<R,1,3> > Traits;
00027 
00029     unsigned int size () const
00030     {
00031       return 5;
00032     }
00033 
00035     inline void evaluateFunction (const typename Traits::DomainType& in,      // position
00036                                   std::vector<typename Traits::RangeType>& out) const     // return value
00037     { 
00038       out.resize(5);
00039       
00040       if(in[0] > in[1])
00041           {
00042                 out[0] = (1-in[0])*(1-in[1])-in[2]*(1-in[1]);
00043                 out[1] = in[0]*(1-in[1])-in[2]*in[1];
00044                 out[2] = (1-in[0])*in[1]-in[2]*in[1];
00045                 out[3] = in[0]*in[1]+in[2]*in[1];         
00046           }
00047       else
00048           {
00049                 out[0] = (1-in[0])*(1-in[1])-in[2]*(1-in[0]);
00050                 out[1] = in[0]*(1-in[1])-in[2]*in[0];
00051                 out[2] = (1-in[0])*in[1]-in[2]*in[0];
00052                 out[3] = in[0]*in[1]+in[2]*in[0];
00053           }
00054       
00055       
00056       out[4] = in[2];
00057 
00058 
00059     }
00060 
00062     inline void 
00063     evaluateJacobian (const typename Traits::DomainType& in,         // position
00064                       std::vector<typename Traits::JacobianType>& out) const      // return value
00065     {  
00066       out.resize(5);
00067       
00068       if(in[0] > in[1])
00069         {
00070           out[0][0][0] = -1 + in[1];  out[0][0][1] = -1 + in[0] + in[2]; out[0][0][2] = -1 + in[1];  
00071           out[1][0][0] = 1  - in[1];  out[1][0][1] = -in[0] - in[2];     out[1][0][2] = -in[1];                       
00072           out[2][0][0] = -in[1];          out[2][0][1] = 1 - in[0] - in[2];  out[2][0][2] = -in[1]; 
00073           out[3][0][0] = in[1];       out[3][0][1] = in[0]+in[2];        out[3][0][2] = in[1];     
00074         }
00075       else
00076         {
00077           out[0][0][0] = -1 + in[1] + in[2]; out[0][0][1] = -1 + in[0];  out[0][0][2] = -1 + in[0];  
00078           out[1][0][0] = 1 - in[1] - in[2];  out[1][0][1] = -in[0];      out[1][0][2] = -in[0];               
00079           out[2][0][0] = -in[1] - in[2];     out[2][0][1] = 1 - in[0];   out[2][0][2] = -in[0]; 
00080           out[3][0][0] = in[1] + in[2];      out[3][0][1] = in[0];       out[3][0][2] = in[0];   
00081           
00082         }
00083       
00084       out[4][0][0] = 0;   out[4][0][1] = 0;       out[4][0][2] = 1;  
00085     }
00086 
00088     unsigned int order () const
00089     {
00090       return 1;
00091     }
00092   };
00093 }
00094 #endif