Chaste Release::3.1
BidomainNeumannSurfaceTermAssembler.hpp
00001 /*
00002 
00003 Copyright (c) 2005-2012, University of Oxford.
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00005 
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00008 Square, Oxford OX1 2JD, UK.
00009 
00010 This file is part of Chaste.
00011 
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00035 
00036 #ifndef BIDOMAINNEUMANNSURFACETERMASSEMBLER_HPP_
00037 #define BIDOMAINNEUMANNSURFACETERMASSEMBLER_HPP_
00038 
00039 #include "AbstractFeSurfaceIntegralAssembler.hpp"
00040 
00041 
00042 
00055 template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
00056 class BidomainNeumannSurfaceTermAssembler : public AbstractFeSurfaceIntegralAssembler<ELEMENT_DIM,SPACE_DIM,2>
00057 {
00058 protected:
00070     virtual c_vector<double, 2*ELEMENT_DIM> ComputeVectorSurfaceTerm(
00071         const BoundaryElement<ELEMENT_DIM-1,SPACE_DIM>& rSurfaceElement,
00072         c_vector<double, ELEMENT_DIM>& rPhi,
00073         ChastePoint<SPACE_DIM>& rX);
00074 
00075 public:
00083     BidomainNeumannSurfaceTermAssembler(AbstractTetrahedralMesh<ELEMENT_DIM,SPACE_DIM>* pMesh,
00084                                         BoundaryConditionsContainer<ELEMENT_DIM,SPACE_DIM,2>* pBoundaryConditions,
00085                                         unsigned numQuadPoints = 2)
00086         : AbstractFeSurfaceIntegralAssembler<ELEMENT_DIM,SPACE_DIM,2>(pMesh, pBoundaryConditions, numQuadPoints)
00087     {
00088     }
00089 };
00090 
00091 
00092 
00093 template <unsigned ELEMENT_DIM, unsigned SPACE_DIM>
00094 c_vector<double, 2*ELEMENT_DIM> BidomainNeumannSurfaceTermAssembler<ELEMENT_DIM, SPACE_DIM>::ComputeVectorSurfaceTerm(
00095         const BoundaryElement<ELEMENT_DIM-1,SPACE_DIM>& rSurfaceElement,
00096         c_vector<double, ELEMENT_DIM>& rPhi,
00097         ChastePoint<SPACE_DIM>& rX)
00098 {
00099     // D_times_gradu_dot_n = [D grad(u)].n, D=diffusion matrix
00100     double sigma_i_times_grad_phi_i_dot_n = this->mpBoundaryConditions->GetNeumannBCValue(&rSurfaceElement, rX, 0);
00101     double sigma_e_times_grad_phi_e_dot_n = this->mpBoundaryConditions->GetNeumannBCValue(&rSurfaceElement, rX, 1);
00102 
00103     c_vector<double, 2*ELEMENT_DIM> ret;
00104     for (unsigned i=0; i<ELEMENT_DIM; i++)
00105     {
00106         ret(2*i)   = rPhi(i)*sigma_i_times_grad_phi_i_dot_n;
00107         ret(2*i+1) = rPhi(i)*(sigma_i_times_grad_phi_i_dot_n + sigma_e_times_grad_phi_e_dot_n);
00108     }
00109 
00110     return ret;
00111 }
00112 
00113 #endif // BIDOMAINNEUMANNSURFACETERMASSEMBLER_HPP_