SimpleLinearEllipticSolver.cpp

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*/
 
#include "SimpleLinearEllipticSolver.hpp"
 
template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
c_matrix<double, 1*(ELEMENT_DIM+1), 1*(ELEMENT_DIM+1)>SimpleLinearEllipticSolver<ELEMENT_DIM,SPACE_DIM>:: ComputeMatrixTerm(
        c_vector<double, ELEMENT_DIM+1>& rPhi,
        c_matrix<double, SPACE_DIM, ELEMENT_DIM+1>& rGradPhi,
        ChastePoint<SPACE_DIM>& rX,
        c_vector<double,1>& rU,
        c_matrix<double,1,SPACE_DIM>& rGradU,
        Element<ELEMENT_DIM,SPACE_DIM>* pElement)
{
    c_matrix<double, SPACE_DIM, SPACE_DIM> pde_diffusion_term = mpEllipticPde->ComputeDiffusionTerm(rX);
 
    // This if statement just saves computing phi*phi^T if it is to be multiplied by zero
    if (mpEllipticPde->ComputeLinearInUCoeffInSourceTerm(rX,pElement)!=0)
    {
        return   prod( trans(rGradPhi), c_matrix<double, SPACE_DIM, ELEMENT_DIM+1>(prod(pde_diffusion_term, rGradPhi)) )
               - mpEllipticPde->ComputeLinearInUCoeffInSourceTerm(rX,pElement)*outer_prod(rPhi,rPhi);
    }
    else
    {
        return   prod( trans(rGradPhi), c_matrix<double, SPACE_DIM, ELEMENT_DIM+1>(prod(pde_diffusion_term, rGradPhi)) );
    }
}
 
template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
c_vector<double,1*(ELEMENT_DIM+1)> SimpleLinearEllipticSolver<ELEMENT_DIM,SPACE_DIM>::ComputeVectorTerm(
        c_vector<double, ELEMENT_DIM+1>& rPhi,
        c_matrix<double, SPACE_DIM, ELEMENT_DIM+1>& rGradPhi,
        ChastePoint<SPACE_DIM>& rX,
        c_vector<double,1>& rU,
        c_matrix<double,1,SPACE_DIM>& rGradU,
        Element<ELEMENT_DIM,SPACE_DIM>* pElement)
{
    return mpEllipticPde->ComputeConstantInUSourceTerm(rX, pElement) * rPhi;
}
 
template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
SimpleLinearEllipticSolver<ELEMENT_DIM,SPACE_DIM>::SimpleLinearEllipticSolver(
                                  AbstractTetrahedralMesh<ELEMENT_DIM,SPACE_DIM>* pMesh,
                                  AbstractLinearEllipticPde<ELEMENT_DIM,SPACE_DIM>* pPde,
                                  BoundaryConditionsContainer<ELEMENT_DIM,SPACE_DIM,1>* pBoundaryConditions)
        : AbstractAssemblerSolverHybrid<ELEMENT_DIM,SPACE_DIM,1,NORMAL>(pMesh,pBoundaryConditions),
          AbstractStaticLinearPdeSolver<ELEMENT_DIM,SPACE_DIM,1>(pMesh)
{
    mpEllipticPde = pPde;
}
 
template<unsigned ELEMENT_DIM, unsigned SPACE_DIM>
void SimpleLinearEllipticSolver<ELEMENT_DIM,SPACE_DIM>::InitialiseForSolve(Vec initialSolution)
{
    AbstractLinearPdeSolver<ELEMENT_DIM,SPACE_DIM,1>::InitialiseForSolve(initialSolution);
    assert(this->mpLinearSystem);
    this->mpLinearSystem->SetMatrixIsSymmetric(true);
    this->mpLinearSystem->SetKspType("cg");
}
 
// Explicit instantiation
template class SimpleLinearEllipticSolver<1,1>;
template class SimpleLinearEllipticSolver<1,2>;
template class SimpleLinearEllipticSolver<1,3>;
template class SimpleLinearEllipticSolver<2,2>;
template class SimpleLinearEllipticSolver<3,3>;