face_quad9.h
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1 // The libMesh Finite Element Library.
2 // Copyright (C) 2002-2014 Benjamin S. Kirk, John W. Peterson, Roy H. Stogner
3 
4 // This library is free software; you can redistribute it and/or
5 // modify it under the terms of the GNU Lesser General Public
6 // License as published by the Free Software Foundation; either
7 // version 2.1 of the License, or (at your option) any later version.
8 
9 // This library is distributed in the hope that it will be useful,
10 // but WITHOUT ANY WARRANTY; without even the implied warranty of
11 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
12 // Lesser General Public License for more details.
13 
14 // You should have received a copy of the GNU Lesser General Public
15 // License along with this library; if not, write to the Free Software
16 // Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
17 
18 
19 
20 #ifndef LIBMESH_FACE_QUAD9_H
21 #define LIBMESH_FACE_QUAD9_H
22 
23 
24 // Local includes
25 #include "libmesh/libmesh_common.h"
26 #include "libmesh/face_quad.h"
27 
28 // C++ includes
29 #include <cstddef>
30 
31 namespace libMesh
32 {
33 
34 
35 
36 // Forward declarations
37 
38 
39 
56 // ------------------------------------------------------------
57 // Quad9 class definition
58 class Quad9 : public Quad
59 {
60 public:
61 
65  explicit
66  Quad9 (Elem* p=NULL) :
68 
72  ElemType type () const { return QUAD9; }
73 
77  unsigned int n_nodes() const { return 9; }
78 
82  unsigned int n_sub_elem() const { return 4; }
83 
87  virtual bool is_vertex(const unsigned int i) const;
88 
92  virtual bool is_edge(const unsigned int i) const;
93 
97  virtual bool is_face(const unsigned int i) const;
98 
99  /*
100  * @returns true iff the specified (local) node number is on the
101  * specified side
102  */
103  virtual bool is_node_on_side(const unsigned int n,
104  const unsigned int s) const;
105 
106  /*
107  * @returns true iff the specified (local) node number is on the
108  * specified edge (== is_node_on_side in 2D)
109  */
110  virtual bool is_node_on_edge(const unsigned int n,
111  const unsigned int e) const
112  { return this->is_node_on_side(n,e); }
113 
114  /*
115  * @returns true iff the element map is definitely affine within
116  * numerical tolerances
117  */
118  virtual bool has_affine_map () const;
119 
123  Order default_order() const { return SECOND; }
124 
134  dof_id_type key (const unsigned int s) const;
135 
136  AutoPtr<Elem> build_side (const unsigned int i,
137  bool proxy) const;
138 
139  virtual void connectivity(const unsigned int sf,
140  const IOPackage iop,
141  std::vector<dof_id_type>& conn) const;
142 
146  unsigned int n_second_order_adjacent_vertices (const unsigned int n) const;
147 
153  unsigned short int second_order_adjacent_vertex (const unsigned int n,
154  const unsigned int v) const;
155 
165  virtual std::pair<unsigned short int, unsigned short int>
166  second_order_child_vertex (const unsigned int n) const;
167 
172  static const unsigned int side_nodes_map[4][3];
173 
174 
175 protected:
176 
181 
182 
183 
184 #ifdef LIBMESH_ENABLE_AMR
185 
189  float embedding_matrix (const unsigned int i,
190  const unsigned int j,
191  const unsigned int k) const
192  { return _embedding_matrix[i][j][k]; }
193 
198  static const float _embedding_matrix[4][9][9];
199 
200 #endif
201 
202 
203 };
204 
205 } // namespace libMesh
206 
207 
208 #endif // LIBMESH_FACE_QUAD9_H

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