dune-localfunctions  2.2.0
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/common/fmatrix.hh>
00006 
00007 #include <dune/localfunctions/common/localbasis.hh>
00008 
00009 
00010 namespace Dune
00011 {
00022   template<class D, class R>
00023   class PyramidP1LocalBasis
00024   {
00025   public:
00027                 typedef LocalBasisTraits<D,3,Dune::FieldVector<D,3>,R,1,Dune::FieldVector<R,1>,
00028                                                                    Dune::FieldMatrix<R,1,3> > Traits;
00029 
00031     unsigned int size () const
00032     {
00033       return 5;
00034     }
00035 
00037     inline void evaluateFunction (const typename Traits::DomainType& in,      // position
00038                                   std::vector<typename Traits::RangeType>& out) const     // return value
00039     { 
00040       out.resize(5);
00041       
00042       if(in[0] > in[1])
00043           {
00044                 out[0] = (1-in[0])*(1-in[1])-in[2]*(1-in[1]);
00045                 out[1] = in[0]*(1-in[1])-in[2]*in[1];
00046                 out[2] = (1-in[0])*in[1]-in[2]*in[1];
00047                 out[3] = in[0]*in[1]+in[2]*in[1];         
00048           }
00049       else
00050           {
00051                 out[0] = (1-in[0])*(1-in[1])-in[2]*(1-in[0]);
00052                 out[1] = in[0]*(1-in[1])-in[2]*in[0];
00053                 out[2] = (1-in[0])*in[1]-in[2]*in[0];
00054                 out[3] = in[0]*in[1]+in[2]*in[0];
00055           }
00056       
00057       
00058       out[4] = in[2];
00059 
00060 
00061     }
00062 
00064     inline void 
00065     evaluateJacobian (const typename Traits::DomainType& in,         // position
00066                       std::vector<typename Traits::JacobianType>& out) const      // return value
00067     {  
00068       out.resize(5);
00069       
00070       if(in[0] > in[1])
00071         {
00072           out[0][0][0] = -1 + in[1];  out[0][0][1] = -1 + in[0] + in[2]; out[0][0][2] = -1 + in[1];  
00073           out[1][0][0] = 1  - in[1];  out[1][0][1] = -in[0] - in[2];     out[1][0][2] = -in[1];                       
00074           out[2][0][0] = -in[1];          out[2][0][1] = 1 - in[0] - in[2];  out[2][0][2] = -in[1]; 
00075           out[3][0][0] = in[1];       out[3][0][1] = in[0]+in[2];        out[3][0][2] = in[1];     
00076         }
00077       else
00078         {
00079           out[0][0][0] = -1 + in[1] + in[2]; out[0][0][1] = -1 + in[0];  out[0][0][2] = -1 + in[0];  
00080           out[1][0][0] = 1 - in[1] - in[2];  out[1][0][1] = -in[0];      out[1][0][2] = -in[0];               
00081           out[2][0][0] = -in[1] - in[2];     out[2][0][1] = 1 - in[0];   out[2][0][2] = -in[0]; 
00082           out[3][0][0] = in[1] + in[2];      out[3][0][1] = in[0];       out[3][0][2] = in[0];   
00083           
00084         }
00085       
00086       out[4][0][0] = 0;   out[4][0][1] = 0;       out[4][0][2] = 1;  
00087     }
00088 
00090     unsigned int order () const
00091     {
00092       return 1;
00093     }
00094   };
00095 }
00096 #endif