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1 : : /* *****************************************************************
2 : : MESQUITE -- The Mesh Quality Improvement Toolkit
3 : :
4 : : Copyright 2006 Lawrence Livermore National Laboratory. Under
5 : : the terms of Contract B545069 with the University of Wisconsin --
6 : : Madison, Lawrence Livermore National Laboratory retains certain
7 : : rights in this software.
8 : :
9 : : This library is free software; you can redistribute it and/or
10 : : modify it under the terms of the GNU Lesser General Public
11 : : License as published by the Free Software Foundation; either
12 : : version 2.1 of the License, or (at your option) any later version.
13 : :
14 : : This library is distributed in the hope that it will be useful,
15 : : but WITHOUT ANY WARRANTY; without even the implied warranty of
16 : : MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
17 : : Lesser General Public License for more details.
18 : :
19 : : You should have received a copy of the GNU Lesser General Public License
20 : : (lgpl.txt) along with this library; if not, write to the Free Software
21 : : Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
22 : :
23 : : (2006) [email protected]
24 : :
25 : : ***************************************************************** */
26 : :
27 : : #ifndef MSQ_LINEAR_QUADRILATERAL_HPP
28 : : #define MSQ_LINEAR_QUADRILATERAL_HPP
29 : :
30 : : /** \file LinearQuadrilateral.hpp
31 : : * \brief Linear mapping funtion for Quadrilateral elements.
32 : : * \author Jason Kraftcheck
33 : : */
34 : :
35 : : #include "Mesquite.hpp"
36 : : #include "MappingFunction.hpp"
37 : :
38 : : namespace MBMesquite
39 : : {
40 : :
41 : : /**\brief Linear shape function for quadrilateral elements
42 : : *
43 : : * This class implements the MappingFunction interface, providing
44 : : * a Linear shape function for quadrilateral elements.
45 : : *
46 : : * \f$\vec{x}(\xi,\eta) = \sum_{i=0}^{3} N_i(\xi,\eta) \vec{x_i}\f$
47 : : *
48 : : * \f$N_0(\xi,\eta) = (1-\xi)(1-\eta)\f$
49 : : *
50 : : * \f$N_1(\xi,\eta) = \xi (1-\eta)\f$
51 : : *
52 : : * \f$N_2(\xi,\eta) = \xi \eta \f$
53 : : *
54 : : * \f$N_3(\xi,\eta) = (1-\xi) \eta\f$
55 : : */
56 [ # # ]: 0 : class MESQUITE_EXPORT LinearQuadrilateral : public MappingFunction2D
57 : : {
58 : : public:
59 : : virtual EntityTopology element_topology() const;
60 : :
61 : : virtual int num_nodes() const;
62 : :
63 : : virtual void coefficients( Sample location, NodeSet nodeset, double* coeff_out, size_t* indices_out,
64 : : size_t& num_coeff_out, MsqError& err ) const;
65 : :
66 : : static void coefficients( Sample location, NodeSet nodeset, double* coeff_out, size_t* indices_out,
67 : : size_t& num_coeff_out );
68 : :
69 : : virtual void derivatives( Sample location, NodeSet nodeset, size_t* vertex_indices_out,
70 : : MsqVector< 2 >* d_coeff_d_xi_out, size_t& num_vtx, MsqError& err ) const;
71 : :
72 : : static void derivatives( Sample location, NodeSet nodeset, size_t* vertex_indices_out,
73 : : MsqVector< 2 >* d_coeff_d_xi_out, size_t& num_vtx );
74 : :
75 : : virtual void ideal( Sample location, MsqMatrix< 3, 2 >& jacobian_out, MsqError& err ) const;
76 : : };
77 : :
78 : : } // namespace MBMesquite
79 : :
80 : : #endif
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