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

Inheritance diagram for QTrianglePolar:

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

Quadrature &	operator= (const Quadrature< dim > &)

Quadrature &	operator= (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

const std::array< Quadrature< 1 >, dim > &	get_tensor_basis () const

	Quadrature (const unsigned int n_q)

Public Member Functions inherited from Subscriptor
	Subscriptor ()

	Subscriptor (const Subscriptor &)

	Subscriptor (Subscriptor &&) noexcept

virtual	~Subscriptor ()

Subscriptor &	operator= (const Subscriptor &)

Subscriptor &	operator= (Subscriptor &&) noexcept

void	subscribe (std::atomic< bool > *const validity, const std::string &identifier="") const

void	unsubscribe (std::atomic< bool > *const validity, const std::string &identifier="") 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:

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

Author: Luca Heltai, 2017

Definition at line 670 of file quadrature_lib.h.

Constructor & Destructor Documentation

◆ QTrianglePolar() [1/2]

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_quadrature	Radial quadrature
angular_quadrature	Angular quadrature

Definition at line 1248 of file quadrature_lib.cc.

◆ QTrianglePolar() [2/2]

QTrianglePolar::QTrianglePolar ( const unsigned int n )

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

Parameters

n	Order of QGauss quadrature

Definition at line 1278 of file quadrature_lib.cc.

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

include/deal.II/base/quadrature_lib.h
source/base/quadrature_lib.cc

Public Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ QTrianglePolar() [1/2]

◆ QTrianglePolar() [2/2]