Base class for quadrature rules on simplices in arbitrary dimensions. More...
#include <quadrature.hh>
Public Member Functions | |
| Quadrature (const Quadrature &q) | |
| Copy constructor. More... | |
| Quadrature (unsigned int dimension, unsigned int n_quadrature_points=0) | |
| Constructor. More... | |
| virtual | ~Quadrature () |
| Constructor from quadrature of lower dimension (e.g. for side integration). More... | |
| unsigned int | dim () const |
| void | resize (unsigned int n_q_points) |
| Modify the number of quadrature points. More... | |
| unsigned int | size () const |
| Returns number of quadrature points. More... | |
| template<unsigned int point_dim> | |
| Armor::ArmaVec< double, point_dim > | point (unsigned int i) const |
Returns the ith quadrature point. More... | |
| Armor::Array< double >::ArrayMatSet | set (uint i) |
| const Armor::Array< double > & | get_points () const |
| Return a reference to the whole array of quadrature points. More... | |
| double | weight (unsigned int i) const |
Returns the ith weight. More... | |
| double & | weight (unsigned int i) |
Returns the ith weight (non-const version). More... | |
| const std::vector< double > & | get_weights () const |
| Return a reference to the whole array of weights. More... | |
| Quadrature & | operator= (const Quadrature &q) |
| template<unsigned int bulk_dim> | |
| Quadrature | make_from_side (unsigned int sid, unsigned int pid) const |
| template<> | |
| Quadrature | make_from_side (unsigned int sid, unsigned int) const |
Protected Attributes | |
| const unsigned int | dim_ |
| Dimension of quadrature points. More... | |
| Armor::Array< double > | quadrature_points |
| List of quadrature points. More... | |
| std::vector< double > | weights |
| List of weights to the quadrature points. More... | |
Detailed Description
Base class for quadrature rules on simplices in arbitrary dimensions.
This class stores quadrature points and weights on the reference line, triangle or tetrahedron, respectively. Quadrature rules are used for evaluation of integrals over elements. In particular, for a reference element 
we have:
![\[ \int_E f(x)\,dx \approx \sum_{i=1}^{N} w_i f(p_i), \]](form_17.png)
where 
, 
are the quadrature weights and the quadrature points, respectively.
TODO:
- remove set_weight, set point; quadrature should be set by its descendants
- introduce Quadrature point which should store point coords together with the weight in raw double[1+dim] array and just return arma object on the flys
Definition at line 48 of file quadrature.hh.
Constructor & Destructor Documentation
◆ Quadrature() [1/2]
| Quadrature::Quadrature | ( | const Quadrature & | q | ) |
Copy constructor.
Definition at line 39 of file quadrature.cc.
◆ Quadrature() [2/2]
| Quadrature::Quadrature | ( | unsigned int | dimension, |
| unsigned int | n_quadrature_points = 0 |
||
| ) |
Constructor.
- Parameters
-
n_quadrature_points Number of quadrature points to be allocated.
Definition at line 32 of file quadrature.cc.
◆ ~Quadrature()
|
inlinevirtual |
Constructor from quadrature of lower dimension (e.g. for side integration).
- Parameters
-
sub_quadrature lower dimensional (dim-1) quadrature sid local index of side pid index of permutation of nodes on given side Virtual destructor.
Definition at line 69 of file quadrature.hh.
Member Function Documentation
◆ dim()
|
inline |
◆ get_points()
|
inline |
Return a reference to the whole array of quadrature points.
Definition at line 104 of file quadrature.hh.
◆ get_weights()
|
inline |
Return a reference to the whole array of weights.
Definition at line 116 of file quadrature.hh.
◆ make_from_side() [1/2]
| template Quadrature Quadrature::make_from_side< 3 > | ( | unsigned int | sid, |
| unsigned int | pid | ||
| ) | const |
Create bulk quadrature from side quadrature.
Consider *this as quadrature on a side of an element and create higher dimensional quadrature considering side and permutation index.
Definition at line 47 of file quadrature.cc.
◆ make_from_side() [2/2]
| Quadrature Quadrature::make_from_side | ( | unsigned int | sid, |
| unsigned int | |||
| ) | const |
Definition at line 80 of file quadrature.cc.
◆ operator=()
| Quadrature & Quadrature::operator= | ( | const Quadrature & | q | ) |
Definition at line 23 of file quadrature.cc.
◆ point()
|
inline |
Returns the ith quadrature point.
Definition at line 92 of file quadrature.hh.
◆ resize()
|
inline |
Modify the number of quadrature points.
- Parameters
-
n_q_points New number of quadrature points.
Definition at line 80 of file quadrature.hh.
◆ set()
|
inline |
◆ size()
|
inline |
Returns number of quadrature points.
Definition at line 87 of file quadrature.hh.
◆ weight() [1/2]
|
inline |
Returns the ith weight (non-const version).
Definition at line 112 of file quadrature.hh.
◆ weight() [2/2]
|
inline |
Returns the ith weight.
Definition at line 108 of file quadrature.hh.
Member Data Documentation
◆ dim_
|
protected |
Dimension of quadrature points.
Definition at line 134 of file quadrature.hh.
◆ quadrature_points
|
protected |
List of quadrature points.
To be filled by the constructors of the derived classes.
Definition at line 141 of file quadrature.hh.
◆ weights
|
protected |
List of weights to the quadrature points.
To be filled by the constructors of the derived classes.
Definition at line 148 of file quadrature.hh.
The documentation for this class was generated from the following files:
- /opt/flow123d/flow123d/src/quadrature/quadrature.hh
- /opt/flow123d/flow123d/src/quadrature/quadrature.cc
