xcurl.hpp

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#ifndef XCURL_HPP
#define XCURL_HPP
 
#include <globaldofspace.hpp>
#include <ddrcore.hpp>
#include <integralweight.hpp>
#include <xgrad.hpp>
 
namespace HArDCore2D
{
  class XCurl : public GlobalDOFSpace
  {
  public:
    typedef std::function<Eigen::Vector2d(const Eigen::Vector2d &)> FunctionType;
 
    struct LocalOperators
    {
      LocalOperators(
                     const Eigen::MatrixXd & _curl,     
                     const Eigen::MatrixXd & _potential 
                     )
        : curl(_curl),
          potential(_potential)
      {
        // Do nothing
      }
 
      Eigen::MatrixXd curl;
      Eigen::MatrixXd potential;
    };
 
    XCurl(const DDRCore & ddr_core, bool use_threads = true, std::ostream & output = std::cout);
 
    const Mesh & mesh() const
    {
      return m_ddr_core.mesh();
    }
    
    const size_t & degree() const
    {
      return m_ddr_core.degree();
    }
 
    Eigen::VectorXd interpolate(
                const FunctionType & v, 
                const int deg_quad = -1 
                ) const;
 
    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_ddr_core.cellBases(iT);
    }
 
    inline const DDRCore::CellBases & cellBases(const Cell & T) const
    {
      return m_ddr_core.cellBases(T.global_index());
    }
        
    inline const DDRCore::EdgeBases & edgeBases(size_t iE) const
    {
      return m_ddr_core.edgeBases(iE);
    }
 
    inline const DDRCore::EdgeBases & edgeBases(const Edge & E) const
    {
      return m_ddr_core.edgeBases(E.global_index());
    }
 
    // The mass matrix of P^k(T)^2 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_Pk2_T = Eigen::MatrixXd::Zero(1,1), 
                                     const IntegralWeight & weight = IntegralWeight(1.) 
                                     ) const;
                                     
    Eigen::MatrixXd computeL2ProductGradient(
                                     const size_t iT, 
                                     const XGrad & x_grad, 
                                     const std::string & side, 
                                     const double & penalty_factor = 1., 
                                     const Eigen::MatrixXd & mass_Pk2_T = Eigen::MatrixXd::Zero(1,1), 
                                     const IntegralWeight & weight = IntegralWeight(1.) 
                                     ) const;
 
    Eigen::MatrixXd computeL2Product_with_Ops(
                                     const size_t iT, 
                                     const std::vector<Eigen::MatrixXd> & leftOp, 
                                     const std::vector<Eigen::MatrixXd> & rightOp, 
                                     const double & penalty_factor, 
                                     const Eigen::MatrixXd & w_mass_Pk2_T, 
                                     const IntegralWeight & weight 
                                     ) const;
                                
 
  private:
    LocalOperators _compute_cell_curl_potential(size_t iT);
    
    const DDRCore & m_ddr_core;
    bool m_use_threads;
    std::ostream & m_output;
 
    // Containers for local operators
    std::vector<std::unique_ptr<LocalOperators> > m_cell_operators;
  };
 
} // end of namespace HArDCore2D
#endif