MOAB: Mesh Oriented datABase  (version 5.4.0)
LinearQuadrilateral.hpp
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00001 /* *****************************************************************
00002     MESQUITE -- The Mesh Quality Improvement Toolkit
00003 
00004     Copyright 2006 Lawrence Livermore National Laboratory.  Under
00005     the terms of Contract B545069 with the University of Wisconsin --
00006     Madison, Lawrence Livermore National Laboratory retains certain
00007     rights in this software.
00008 
00009     This library is free software; you can redistribute it and/or
00010     modify it under the terms of the GNU Lesser General Public
00011     License as published by the Free Software Foundation; either
00012     version 2.1 of the License, or (at your option) any later version.
00013 
00014     This library is distributed in the hope that it will be useful,
00015     but WITHOUT ANY WARRANTY; without even the implied warranty of
00016     MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
00017     Lesser General Public License for more details.
00018 
00019     You should have received a copy of the GNU Lesser General Public License
00020     (lgpl.txt) along with this library; if not, write to the Free Software
00021     Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
00022 
00023     (2006) kraftche@cae.wisc.edu
00024 
00025   ***************************************************************** */
00026 
00027 #ifndef MSQ_LINEAR_QUADRILATERAL_HPP
00028 #define MSQ_LINEAR_QUADRILATERAL_HPP
00029 
00030 /** \file LinearQuadrilateral.hpp
00031  *  \brief Linear mapping funtion for Quadrilateral elements.
00032  *  \author Jason Kraftcheck
00033  */
00034 
00035 #include "Mesquite.hpp"
00036 #include "MappingFunction.hpp"
00037 
00038 namespace MBMesquite
00039 {
00040 
00041 /**\brief Linear shape function for quadrilateral elements
00042  *
00043  * This class implements the MappingFunction interface, providing
00044  * a Linear shape function for quadrilateral elements.
00045  *
00046  * \f$\vec{x}(\xi,\eta) = \sum_{i=0}^{3} N_i(\xi,\eta) \vec{x_i}\f$
00047  *
00048  * \f$N_0(\xi,\eta) = (1-\xi)(1-\eta)\f$
00049  *
00050  * \f$N_1(\xi,\eta) =    \xi (1-\eta)\f$
00051  *
00052  * \f$N_2(\xi,\eta) =    \xi    \eta \f$
00053  *
00054  * \f$N_3(\xi,\eta) = (1-\xi)   \eta\f$
00055  */
00056 class MESQUITE_EXPORT LinearQuadrilateral : public MappingFunction2D
00057 {
00058   public:
00059     virtual EntityTopology element_topology() const;
00060 
00061     virtual int num_nodes() const;
00062 
00063     virtual void coefficients( Sample location,
00064                                NodeSet nodeset,
00065                                double* coeff_out,
00066                                size_t* indices_out,
00067                                size_t& num_coeff_out,
00068                                MsqError& err ) const;
00069 
00070     static void coefficients( Sample location,
00071                               NodeSet nodeset,
00072                               double* coeff_out,
00073                               size_t* indices_out,
00074                               size_t& num_coeff_out );
00075 
00076     virtual void derivatives( Sample location,
00077                               NodeSet nodeset,
00078                               size_t* vertex_indices_out,
00079                               MsqVector< 2 >* d_coeff_d_xi_out,
00080                               size_t& num_vtx,
00081                               MsqError& err ) const;
00082 
00083     static void derivatives( Sample location,
00084                              NodeSet nodeset,
00085                              size_t* vertex_indices_out,
00086                              MsqVector< 2 >* d_coeff_d_xi_out,
00087                              size_t& num_vtx );
00088 
00089     virtual void ideal( Sample location, MsqMatrix< 3, 2 >& jacobian_out, MsqError& err ) const;
00090 };
00091 
00092 }  // namespace MBMesquite
00093 
00094 #endif
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