Reference documentation for deal.II version Git 035d1ad 2018-08-17 19:42:27 -0400
Public Member Functions | List of all members
QTrianglePolar Class Reference

#include <deal.II/base/quadrature_lib.h>

Inheritance diagram for QTrianglePolar:
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Public Member Functions

 QTrianglePolar (const Quadrature< 1 > &radial_quadrature, const Quadrature< 1 > &angular_quadrature)
 
 QTrianglePolar (const unsigned int &n)
 
- Public Member Functions inherited from QSimplex< 2 >
 QSimplex (const Quadrature< dim > &quad)
 
Quadrature< dim > compute_affine_transformation (const std::array< Point< dim >, dim+1 > &vertices) const
 
- Public Member Functions inherited from Quadrature< dim >
 Quadrature (const unsigned int n_quadrature_points=0)
 
 Quadrature (const SubQuadrature &, const Quadrature< 1 > &)
 
 Quadrature (const Quadrature< dim!=1?1:0 > &quadrature_1d)
 
 Quadrature (const Quadrature< dim > &q)
 
 Quadrature (Quadrature< dim > &&) noexcept=default
 
 Quadrature (const std::vector< Point< dim >> &points, const std::vector< double > &weights)
 
 Quadrature (const std::vector< Point< dim >> &points)
 
 Quadrature (const Point< dim > &point)
 
virtual ~Quadrature () override=default
 
Quadratureoperator= (const Quadrature< dim > &)
 
Quadratureoperator= (Quadrature< dim > &&)=default
 
bool operator== (const Quadrature< dim > &p) const
 
void initialize (const std::vector< Point< dim >> &points, const std::vector< double > &weights)
 
unsigned int size () const
 
const Point< dim > & point (const unsigned int i) const
 
const std::vector< Point< dim > > & get_points () const
 
double weight (const unsigned int i) const
 
const std::vector< double > & get_weights () const
 
std::size_t memory_consumption () const
 
template<class Archive >
void serialize (Archive &ar, const unsigned int version)
 
bool is_tensor_product () const
 
std::conditional< dim==1, std::array< Quadrature< 1 >, dim >, const std::array< Quadrature< 1 >, dim > & >::type get_tensor_basis () const
 
- Public Member Functions inherited from Subscriptor
 Subscriptor ()
 
 Subscriptor (const Subscriptor &)
 
 Subscriptor (Subscriptor &&) noexcept
 
virtual ~Subscriptor ()
 
Subscriptoroperator= (const Subscriptor &)
 
Subscriptoroperator= (Subscriptor &&) noexcept
 
void subscribe (const char *identifier=nullptr) const
 
void unsubscribe (const char *identifier=nullptr) const
 
unsigned int n_subscriptions () const
 
template<typename StreamType >
void list_subscribers (StreamType &stream) const
 
void list_subscribers () const
 
template<class Archive >
void serialize (Archive &ar, const unsigned int version)
 

Additional Inherited Members

- Public Types inherited from Quadrature< dim >
using SubQuadrature = Quadrature< dim-1 >
 
- Static Public Member Functions inherited from Subscriptor
static::ExceptionBase & ExcInUse (int arg1, std::string arg2, std::string arg3)
 
static::ExceptionBase & ExcNoSubscriber (std::string arg1, std::string arg2)
 
- Protected Attributes inherited from Quadrature< dim >
std::vector< Point< dim > > quadrature_points
 
std::vector< double > weights
 
bool is_tensor_product_flag
 
std::unique_ptr< std::array< Quadrature< 1 >, dim > > tensor_basis
 

Detailed Description

A quadrature that implements a polar transformation from a square to a triangle to integrate singularities in the origin of the reference simplex. The quadrature is obtained through the following polar transformation:

\[ \begin{pmatrix} x \\ y \end{pmatrix} = \begin{pmatrix} \frac{\hat x}{\sin(\theta)+\cos(\theta)} cos(\theta) \\ \frac{\hat x}{\sin(\theta)+\cos(\theta)} sin(\theta) \end{pmatrix} \qquad \theta := \frac\pi 2 \hat y \]

Author
Luca Heltai, 2017

Definition at line 670 of file quadrature_lib.h.

Constructor & Destructor Documentation

QTrianglePolar::QTrianglePolar ( const Quadrature< 1 > &  radial_quadrature,
const Quadrature< 1 > &  angular_quadrature 
)

Construct a QTrianglePolar quadrature, with different formulas in the radial and angular directions.

Parameters
radial_quadratureRadial quadrature
angular_quadratureAngular quadrature

Definition at line 1248 of file quadrature_lib.cc.

QTrianglePolar::QTrianglePolar ( const unsigned int &  n)

Call the other constructor, with QGauss<1>(n) for both radial and angular quadrature.

Parameters
nOrder of QGauss quadrature

Definition at line 1278 of file quadrature_lib.cc.


The documentation for this class was generated from the following files: