libMesh
quadrature_trap_2D.C
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1 // The libMesh Finite Element Library.
2 // Copyright (C) 2002-2025 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 // Local includes
21 #include "libmesh/quadrature_trap.h"
22 #include "libmesh/enum_to_string.h"
23 
24 namespace libMesh
25 {
26 
28 {
29 #if LIBMESH_DIM > 1
30 
31  //-----------------------------------------------------------------------
32  // 2D quadrature rules
33  switch (_type)
34  {
35 
36 
37  //---------------------------------------------
38  // Quadrilateral quadrature rules
39  case QUAD4:
40  case QUADSHELL4:
41  case QUAD8:
42  case QUADSHELL8:
43  case QUAD9:
44  case QUADSHELL9:
45  {
46 
47  // We compute the 2D quadrature rule as a tensor
48  // product of the 1D quadrature rule.
49  QTrap q1D(1);
50 
51  tensor_product_quad( q1D );
52 
53  return;
54  }
55 
56 
57  //---------------------------------------------
58  // Triangle quadrature rules
59  case TRI3:
60  case TRISHELL3:
61  case TRI3SUBDIVISION:
62  case TRI6:
63  case TRI7:
64  {
65  _points.resize(3);
66  _weights.resize(3);
67 
68  _points[0](0) = 0.;
69  _points[0](1) = 0.;
70 
71  _points[1](0) = 1.;
72  _points[1](1) = 0.;
73 
74  _points[2](0) = 0.;
75  _points[2](1) = 1.;
76 
77 
78  _weights[0] = 1/Real(6);
79  _weights[1] = 1/Real(6);
80  _weights[2] = 1/Real(6);
81 
82  return;
83  }
84 
85 
86  //---------------------------------------------
87  // Unsupported type
88  default:
89  libmesh_error_msg("Element type not supported!:" << Utility::enum_to_string(_type));
90  }
91 #endif
92 }
93 
94 } // namespace libMesh
virtual void init_2D() override
Initializes the 2D quadrature rule by filling the points and weights vectors with the appropriate val...
ElemType _type
The type of element for which the current values have been computed.
Definition: quadrature.h:391
The libMesh namespace provides an interface to certain functionality in the library.
std::vector< Point > _points
The locations of the quadrature points in reference element space.
Definition: quadrature.h:409
std::vector< Real > _weights
The quadrature weights.
Definition: quadrature.h:415
std::string enum_to_string(const T e)
DIE A HORRIBLE DEATH HERE typedef LIBMESH_DEFAULT_SCALAR_TYPE Real
void tensor_product_quad(const QBase &q1D)
Constructs a 2D rule from the tensor product of q1D with itself.
Definition: quadrature.C:256
This class implements trapezoidal quadrature.