lagrangep1.h

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/*
 * Copyright (c) 2010-2015:  G-CSC, Goethe University Frankfurt
 * Author: 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__LOCAL_SHAPE_FUNCTION_SET__LAGRANGEP1__LAGRANGEP1__
#define __H__UG__LIB_DISC__LOCAL_SHAPE_FUNCTION_SET__LAGRANGEP1__LAGRANGEP1__
 
#include "../local_finite_element_provider.h"
#include "../local_dof_set.h"
#include "lagrange_local_dof.h"
 
namespace ug{
 
 
 
template <typename TRefElem>
class LagrangeP1
  : public LagrangeLDS<TRefElem>,
    public BaseLSFS<LagrangeP1<TRefElem>, TRefElem::dim>
{
    typedef BaseLSFS<LagrangeP1<TRefElem>, TRefElem::dim> base_type;
 
  public:
    typedef typename base_type::shape_type shape_type;
 
    typedef typename base_type::grad_type grad_type;
 
  public:
    typedef TRefElem reference_element_type;
 
    static const int dim = TRefElem::dim;
 
    static const size_t order = 1;
 
    static const size_t nsh = TRefElem::numCorners;
 
  public:
    LagrangeP1() : LagrangeLDS<TRefElem>(1) {}
 
    bool continuous() const {return true;}
 
    size_t num_sh() const { return nsh;}
 
    bool position(size_t i, MathVector<dim>& pos) const;
 
    shape_type shape(size_t i, const MathVector<dim>& x) const;
 
    void grad(grad_type& value, size_t i, const MathVector<dim>& x) const;
};
 
 
} //namespace ug
 
#endif /* __H__UG__LIB_DISC__LOCAL_SHAPE_FUNCTION_SET__LAGRANGEP1__LAGRANGEP1__ */