laxgrad.hpp

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#ifndef LAXGRAD_HPP
#define LAXGRAD_HPP
 
#include <globaldofspace.hpp>
#include <xgrad.hpp>
#include <liealgebra.hpp>
 
namespace HArDCore3D
{
 
  class LAXGrad : public GlobalDOFSpace
  {
  public:
 
    typedef std::function<double(const Eigen::Vector3d &)> FunctionType;
    typedef std::vector<FunctionType> LAFunctionType;
 
     struct LocalOperators
     {
       LocalOperators(
                      const Eigen::MatrixXd & _gradient, 
                      const Eigen::MatrixXd & _potential 
                      )
         : gradient(_gradient),
           potential(_potential)
       {
         // Do nothing
       }
      
       Eigen::MatrixXd gradient;
       Eigen::MatrixXd potential;
     };
    
    LAXGrad(const LieAlgebra & lie_algebra, const XGrad & xgrad, bool use_threads = true, std::ostream & output = std::cout);
    
    const Mesh & mesh() const
    {
      return m_xgrad.mesh();
    }
    
    const size_t & degree() const
    {
      return m_xgrad.degree();
    }
    
    Eigen::VectorXd interpolate(
          const LAFunctionType & q, 
          const int doe_cell = -1, 
          const int doe_face = -1, 
          const int doe_edge = -1 
          ) const;
 
    inline const LocalOperators & edgeOperators(size_t iE) const
    {
      return *m_edge_operators[iE];
    }
 
    inline const LocalOperators & edgeOperators(const Edge & E) const
    {
      return *m_edge_operators[E.global_index()];
    }
    
    inline const LocalOperators & faceOperators(size_t iF) const
    {
      return *m_face_operators[iF];
    }
 
    inline const LocalOperators & faceOperators(const Face & F) const
    {
      return *m_face_operators[F.global_index()];
    }
 
    inline const LocalOperators & cellOperators(size_t iT) const
    {
      return *m_cell_operators[iT];
    }
 
    inline const LocalOperators & cellOperators(const Cell & T) const
    {
      return *m_cell_operators[T.global_index()];
    }
 
    inline const DDRCore::CellBases & cellBases(size_t iT) const
    {
      return m_xgrad.cellBases(iT);
    }
 
    inline const DDRCore::CellBases & cellBases(const Cell & T) const
    {
      return m_xgrad.cellBases(T.global_index());
    }
    
    inline const DDRCore::FaceBases & faceBases(size_t iF) const
    {
      return m_xgrad.faceBases(iF);
    }
 
    inline const DDRCore::FaceBases & faceBases(const Face & F) const
    {
      return m_xgrad.faceBases(F.global_index());
    }
 
    inline const DDRCore::EdgeBases & edgeBases(size_t iE) const
    {
      return m_xgrad.edgeBases(iE);
    }
 
    inline const DDRCore::EdgeBases & edgeBases(const Edge & E) const
    {
      return m_xgrad.edgeBases(E.global_index());
    }
 
    // The mass matrix of P^{k+1}(T) is the most expensive mass matrix in the calculation of this norm, which
    // is why there's the option of passing it as parameter if it's been already pre-computed when the norm is called.
    Eigen::MatrixXd computeL2Product(
                                     const size_t iT, 
                                     const double & penalty_factor = 1., 
                                     const Eigen::MatrixXd & mass_Pkpo_T = Eigen::MatrixXd::Zero(1,1), 
                                     const IntegralWeight & weight = IntegralWeight(1.) 
                                     ) const;
 
  private:
    LocalOperators _compute_edge_gradient_potential(size_t iE);
    LocalOperators _compute_face_gradient_potential(size_t iF);
    LocalOperators _compute_cell_gradient_potential(size_t iT);
 
    const LieAlgebra & m_lie_algebra;
    const XGrad & m_xgrad;
    bool m_use_threads;
    std::ostream & m_output;
    
    // Containers for local operators
    std::vector<std::unique_ptr<LocalOperators> > m_edge_operators;
    std::vector<std::unique_ptr<LocalOperators> > m_face_operators;
    std::vector<std::unique_ptr<LocalOperators> > m_cell_operators;
  };
 
} // end of namespace HArDCore3D
 
#endif