gauss_tensor_prod.h

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/*
 * Copyright (c) 2013-2015:  G-CSC, Goethe University Frankfurt
 * Authors: Lisa Grau, Andreas Vogel
 * 
 * This file is part of UG4.
 * 
 * UG4 is free software: you can redistribute it and/or modify it under the
 * terms of the GNU Lesser General Public License version 3 (as published by the
 * Free Software Foundation) with the following additional attribution
 * requirements (according to LGPL/GPL v3 §7):
 * 
 * (1) The following notice must be displayed in the Appropriate Legal Notices
 * of covered and combined works: "Based on UG4 (www.ug4.org/license)".
 * 
 * (2) The following notice must be displayed at a prominent place in the
 * terminal output of covered works: "Based on UG4 (www.ug4.org/license)".
 * 
 * (3) The following bibliography is recommended for citation and must be
 * preserved in all covered files:
 * "Reiter, S., Vogel, A., Heppner, I., Rupp, M., and Wittum, G. A massively
 *   parallel geometric multigrid solver on hierarchically distributed grids.
 *   Computing and visualization in science 16, 4 (2013), 151-164"
 * "Vogel, A., Reiter, S., Rupp, M., Nägel, A., and Wittum, G. UG4 -- a novel
 *   flexible software system for simulating pde based models on high performance
 *   computers. Computing and visualization in science 16, 4 (2013), 165-179"
 * 
 * This program is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
 * GNU Lesser General Public License for more details.
 */
 
#ifndef __H__UG__LIB_DISC__QUADRATURE__GAUSS_TENSOR_PROD__
#define __H__UG__LIB_DISC__QUADRATURE__GAUSS_TENSOR_PROD__
 
/*
 * In this file, quadrature rules for arbitray order for elements with dim > 1
 * are implemented. The basic idea relies on a transformation of the considered
 * domain to the unit cube [0,1]^d and then using Gauss quadratures to carry out
 * the integrals. Note, that on some elements the transformation introduces
 * jacobian determinants of type (1-x)^{\alpha}(1+x)^{\beta}. In order to
 * integrate those, the gauss-jacobi quadratures are used.
 */
 
#include "../quadrature.h"
 
namespace ug
{
 
class GaussQuadratureTriangle : public QuadratureRule<2> {
 
  public:
    GaussQuadratureTriangle(size_t order);
 
    ~GaussQuadratureTriangle();
};
class GaussQuadratureTriangle : public QuadratureRule<2> {…};
 
class GaussQuadratureQuadrilateral : public QuadratureRule<2> {
 
  public:
    GaussQuadratureQuadrilateral(size_t order);
 
    ~GaussQuadratureQuadrilateral();
};
class GaussQuadratureQuadrilateral : public QuadratureRule<2> {…};
 
class GaussQuadratureHexahedron : public QuadratureRule<3> {
 
  public:
    GaussQuadratureHexahedron(size_t order);
 
    ~GaussQuadratureHexahedron();
};
class GaussQuadratureHexahedron : public QuadratureRule<3> {…};
 
class GaussQuadratureTetrahedron : public QuadratureRule<3> {
 
  public:
    GaussQuadratureTetrahedron(size_t order);
 
    ~GaussQuadratureTetrahedron();
};
class GaussQuadratureTetrahedron : public QuadratureRule<3> {…};
 
class GaussQuadraturePrism : public QuadratureRule<3> {
 
  public:
    GaussQuadraturePrism(size_t order);
 
    ~GaussQuadraturePrism();
};
class GaussQuadraturePrism : public QuadratureRule<3> {…};
 
class GaussQuadraturePyramid : public QuadratureRule<3> {
 
  public:
    GaussQuadraturePyramid(size_t order);
 
    ~GaussQuadraturePyramid();
};
class GaussQuadraturePyramid : public QuadratureRule<3> {…};
 
class GaussQuadratureOctahedron : public QuadratureRule<3> {
 
  public:
  GaussQuadratureOctahedron(size_t order);
 
    ~GaussQuadratureOctahedron();
};
class GaussQuadratureOctahedron : public QuadratureRule<3> {…};
 
} // namespace ug
 
#endif /* __H__UG__LIB_DISC__QUADRATURE__GAUSS_TENSOR_PROD__ */