libigl/include/igl/crouzeix_raviart_cotmatrix.h

// This file is part of libigl, a simple c++ geometry processing library.
// 
// Copyright (C) 2017 Alec Jacobson <[email protected]>
// 
// This Source Code Form is subject to the terms of the Mozilla Public License 
// v. 2.0. If a copy of the MPL was not distributed with this file, You can 
// obtain one at http://mozilla.org/MPL/2.0/.
#ifndef IGL_CROUZEIX_RAVIART_COTMATRIX
#define IGL_CROUZEIX_RAVIART_COTMATRIX
#include "igl_inline.h"
#include <Eigen/Core>
#include <Eigen/Sparse>
namespace igl
{
  /// Compute the Crouzeix-Raviart cotangent stiffness matrix.
  ///
  /// See for example "Discrete Quadratic Curvature Energies" [Wardetzky, Bergou,
  /// Harmon, Zorin, Grinspun 2007]
  ///
  /// @param[in] V  #V by dim list of vertex positions
  /// @param[in] F  #F by 3/4 list of triangle/tetrahedron indices
  /// @param[out] L  #E by #E edge/face-based diagonal cotangent matrix
  /// @param[out] E  #E by 2/3 list of edges/faces
  /// @param[out] EMAP  #F*3/4 list of indices mapping allE to E
  ///
  /// \see crouzeix_raviart_massmatrix
  template <typename DerivedV, typename DerivedF, typename LT, typename DerivedE, typename DerivedEMAP>
  void crouzeix_raviart_cotmatrix(
      const Eigen::MatrixBase<DerivedV> & V, 
      const Eigen::MatrixBase<DerivedF> & F, 
      Eigen::SparseMatrix<LT> & L,
      Eigen::PlainObjectBase<DerivedE> & E,
      Eigen::PlainObjectBase<DerivedEMAP> & EMAP);
  /// Compute the Crouzeix-Raviart cotangent stiffness matrix.
  ///
  /// See for example "Discrete Quadratic Curvature Energies" [Wardetzky, Bergou,
  /// Harmon, Zorin, Grinspun 2007]
  ///
  /// @param[in] V  #V by dim list of vertex positions
  /// @param[in] F  #F by 3/4 list of triangle/tetrahedron indices
  /// @param[in] E  #E by 2/3 list of edges/faces
  /// @param[in] EMAP  #F*3/4 list of indices mapping allE to E
  /// @param[out] L  #E by #E edge/face-based diagonal cotangent matrix
  ///
  /// \see crouzeix_raviart_massmatrix
  template <typename DerivedV, typename DerivedF, typename DerivedE, typename DerivedEMAP, typename LT>
  void crouzeix_raviart_cotmatrix(
      const Eigen::MatrixBase<DerivedV> & V, 
      const Eigen::MatrixBase<DerivedF> & F, 
      const Eigen::MatrixBase<DerivedE> & E,
      const Eigen::MatrixBase<DerivedEMAP> & EMAP,
      Eigen::SparseMatrix<LT> & L);
}
#ifndef IGL_STATIC_LIBRARY
#  include "crouzeix_raviart_cotmatrix.cpp"
#endif
#endif