Line data    Source code

       1              : /*
       2              :  * Copyright (c) 2010-2015:  G-CSC, Goethe University Frankfurt
       3              :  * Author: Andreas Vogel
       4              :  * 
       5              :  * This file is part of UG4.
       6              :  * 
       7              :  * UG4 is free software: you can redistribute it and/or modify it under the
       8              :  * terms of the GNU Lesser General Public License version 3 (as published by the
       9              :  * Free Software Foundation) with the following additional attribution
      10              :  * requirements (according to LGPL/GPL v3 §7):
      11              :  * 
      12              :  * (1) The following notice must be displayed in the Appropriate Legal Notices
      13              :  * of covered and combined works: "Based on UG4 (www.ug4.org/license)".
      14              :  * 
      15              :  * (2) The following notice must be displayed at a prominent place in the
      16              :  * terminal output of covered works: "Based on UG4 (www.ug4.org/license)".
      17              :  * 
      18              :  * (3) The following bibliography is recommended for citation and must be
      19              :  * preserved in all covered files:
      20              :  * "Reiter, S., Vogel, A., Heppner, I., Rupp, M., and Wittum, G. A massively
      21              :  *   parallel geometric multigrid solver on hierarchically distributed grids.
      22              :  *   Computing and visualization in science 16, 4 (2013), 151-164"
      23              :  * "Vogel, A., Reiter, S., Rupp, M., Nägel, A., and Wittum, G. UG4 -- a novel
      24              :  *   flexible software system for simulating pde based models on high performance
      25              :  *   computers. Computing and visualization in science 16, 4 (2013), 165-179"
      26              :  * 
      27              :  * This program is distributed in the hope that it will be useful,
      28              :  * but WITHOUT ANY WARRANTY; without even the implied warranty of
      29              :  * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
      30              :  * GNU Lesser General Public License for more details.
      31              :  */
      32              : 
      33              : #ifndef __H__UG__LIB_DISC__LOCAL_SHAPE_FUNCTION_SET__LAGRANGEP1__LAGRANGEP1__
      34              : #define __H__UG__LIB_DISC__LOCAL_SHAPE_FUNCTION_SET__LAGRANGEP1__LAGRANGEP1__
      35              : 
      36              : #include "../local_finite_element_provider.h"
      37              : #include "../local_dof_set.h"
      38              : #include "lagrange_local_dof.h"
      39              : 
      40              : namespace ug{
      41              : 
      42              : /// \ingroup lib_discretization_local_shape_function_set
      43              : /// @{
      44              : 
      45              : /// Lagrange shape functions of first order
      46              : /**
      47              :  * This class provides Lagrangian Shape Functions of order 1 for a
      48              :  * Reference Element.
      49              :  * \tparam      TRefElem                Reference Element Type
      50              :  */
      51              : template <typename TRefElem>
      52            0 : class LagrangeP1
      53              :         : public LagrangeLDS<TRefElem>,
      54              :           public BaseLSFS<LagrangeP1<TRefElem>, TRefElem::dim>
      55              : {
      56              :         ///     base class
      57              :                 typedef BaseLSFS<LagrangeP1<TRefElem>, TRefElem::dim> base_type;
      58              : 
      59              :         public:
      60              :         ///     Shape type
      61              :                 typedef typename base_type::shape_type shape_type;
      62              : 
      63              :         ///     Gradient type
      64              :                 typedef typename base_type::grad_type grad_type;
      65              : 
      66              :         public:
      67              :         ///     Reference Element type
      68              :                 typedef TRefElem reference_element_type;
      69              : 
      70              :         ///     Dimension, where shape functions are defined
      71              :                 static const int dim = TRefElem::dim;
      72              : 
      73              :         ///     Order of Shape functions
      74              :                 static const size_t order = 1;
      75              : 
      76              :         /// Number of shape functions
      77              :                 static const size_t nsh = TRefElem::numCorners;
      78              : 
      79              :         public:
      80              :         ///     constructor
      81            0 :                 LagrangeP1() : LagrangeLDS<TRefElem>(1) {}
      82              : 
      83              :         ///     \copydoc ug::LocalShapeFunctionSet::continuous()
      84              :                 bool continuous() const {return true;}
      85              : 
      86              :         ///     \copydoc ug::LocalShapeFunctionSet::num_sh()
      87            0 :                 size_t num_sh() const { return nsh;}
      88              : 
      89              :         ///     \copydoc ug::LocalShapeFunctionSet::position()
      90              :                 bool position(size_t i, MathVector<dim>& pos) const;
      91              : 
      92              :         ///     \copydoc ug::LocalShapeFunctionSet::shape()
      93              :                 shape_type shape(size_t i, const MathVector<dim>& x) const;
      94              : 
      95              :         ///     \copydoc ug::LocalShapeFunctionSet::grad()
      96              :                 void grad(grad_type& value, size_t i, const MathVector<dim>& x) const;
      97              : };
      98              : 
      99              : /// @}
     100              : 
     101              : } //namespace ug
     102              : 
     103              : #endif /* __H__UG__LIB_DISC__LOCAL_SHAPE_FUNCTION_SET__LAGRANGEP1__LAGRANGEP1__ */