MOAB: Mesh Oriented datABase  (version 5.2.1)
LinearTetrahedron.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_TETRAHEDRON_HPP
00028 #define MSQ_LINEAR_TETRAHEDRON_HPP
00029 
00030 #include "Mesquite.hpp"
00031 #include "MappingFunction.hpp"
00032 
00033 namespace MBMesquite
00034 {
00035 
00036 /**\brief Linear mapping function for a tetrahedral element
00037  *
00038  * \f$\vec{x}(\vec{\xi})=\sum_{i=1}^4 N_i(\vec{\xi})\vec{x_i}\f$
00039  * - \f$N_1(\vec{\xi})=1-\xi_1-\xi_2-\xi_3\f$
00040  * - \f$N_2(\vec{\xi})=\xi_1\f$
00041  * - \f$N_3(\vec{\xi})=\xi_2\f$
00042  * - \f$N_4(\vec{\xi})=\xi_3\f$
00043  */
00044 class MESQUITE_EXPORT LinearTetrahedron : public MappingFunction3D
00045 {
00046   public:
00047     virtual EntityTopology element_topology() const;
00048 
00049     virtual int num_nodes() const;
00050 
00051     virtual NodeSet sample_points( NodeSet higher_order_nodes ) const;
00052 
00053     virtual void coefficients( Sample location, NodeSet nodeset, double* coeff_out, size_t* indices_out,
00054                                size_t& num_coeff_out, MsqError& err ) const;
00055 
00056     virtual void derivatives( Sample location, NodeSet nodeset, size_t* vertex_indices_out,
00057                               MsqVector< 3 >* d_coeff_d_xi_out, size_t& num_vtx, MsqError& err ) const;
00058 
00059     virtual void ideal( Sample location, MsqMatrix< 3, 3 >& jacobian_out, MsqError& err ) const;
00060 };
00061 
00062 }  // namespace MBMesquite
00063 
00064 #endif
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