libMesh
quadrature_monomial.h
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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.
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18 
19 
20 #ifndef LIBMESH_QUADRATURE_MONOMIAL_H
21 #define LIBMESH_QUADRATURE_MONOMIAL_H
22 
23 // Local includes
24 #include "libmesh/quadrature.h"
25 
26 namespace libMesh
27 {
28 
58 class QMonomial final : public QBase
59 {
60 public:
61 
65  QMonomial (unsigned int dim,
66  Order order=INVALID_ORDER) :
67  QBase(dim,order)
68  {
69  if (dim == 1)
70  init(EDGE2);
71  }
72 
77  QMonomial (const QMonomial &) = default;
78  QMonomial (QMonomial &&) = default;
79  QMonomial & operator= (const QMonomial &) = default;
80  QMonomial & operator= (QMonomial &&) = default;
81  virtual ~QMonomial() = default;
82 
86  virtual QuadratureType type() const override;
87 
88  virtual std::unique_ptr<QBase> clone() const override;
89 
90 private:
91 
96  virtual void init_1D () override;
97  virtual void init_2D () override;
98  virtual void init_3D () override;
99 
112  void wissmann_rule(const Real rule_data[][3],
113  const unsigned int n_pts);
114 
135  void stroud_rule(const Real rule_data[][3],
136  const unsigned int * rule_symmetry,
137  const unsigned int n_pts);
138 
179  void kim_rule(const Real rule_data[][4],
180  const unsigned int * rule_id,
181  const unsigned int n_pts);
182 };
183 
184 } // namespace libMesh
185 
186 #endif // LIBMESH_QUADRATURE_MONOMIAL_H
Order
defines an enum for polynomial orders.
Definition: enum_order.h:40
virtual std::unique_ptr< QBase > clone() const override
unsigned int dim
virtual ~QMonomial()=default
void wissmann_rule(const Real rule_data[][3], const unsigned int n_pts)
Wissmann published three interesting "partially symmetric" rules for integrating degree 4...
QuadratureType
Defines an enum for currently available quadrature rules.
The libMesh namespace provides an interface to certain functionality in the library.
This class defines alternate quadrature rules on "tensor-product" elements (quadrilaterals and hexahe...
virtual QuadratureType type() const override
void kim_rule(const Real rule_data[][4], const unsigned int *rule_id, const unsigned int n_pts)
Rules from Kim and Song, Comm.
virtual void init_2D() override
Initializes the 2D quadrature rule by filling the points and weights vectors with the appropriate val...
QMonomial & operator=(const QMonomial &)=default
virtual void init_3D() override
Initializes the 3D quadrature rule by filling the points and weights vectors with the appropriate val...
QMonomial(unsigned int dim, Order order=INVALID_ORDER)
Constructor.
void stroud_rule(const Real rule_data[][3], const unsigned int *rule_symmetry, const unsigned int n_pts)
Stroud&#39;s rules for quads and hexes can have one of several different types of symmetry.
DIE A HORRIBLE DEATH HERE typedef LIBMESH_DEFAULT_SCALAR_TYPE Real
virtual void init(const Elem &e, unsigned int p_level=invalid_uint)
Initializes the data structures for a quadrature rule for the element e.
Definition: quadrature.C:65
The QBase class provides the basic functionality from which various quadrature rules can be derived...
Definition: quadrature.h:61
virtual void init_1D() override
Uses a Gauss rule in 1D.