#include <quad.hh>

Inheritance diagram for hp2D::InfiniteQuad:

Public Types
typedef F	type

Public Member Functions
	InfiniteQuad (concepts::InfiniteQuad2d &cell, const ushort p, concepts::TColumn< Real > T0, concepts::TColumn< Real > *T1)

const concepts::Connector2 &	support () const

concepts::Real3d	vertex (uint i) const

const concepts::InfiniteQuad2d &	cell () const
	Returns the cell on which the element is built.

const ushort *	p () const

const concepts::QuadratureRule1d *	integrationX () const
	Returns the integration rule in x direction.

const concepts::QuadratureRule1d *	integrationY () const
	Returns the integration rule in y direction.

const concepts::Karniadakis< 1, 0 > *	shpfctX () const
	Returns the shape functions in x direction.

const concepts::Karniadakis< 1, 1 > *	shpfctDX () const
	Returns the derivatives of the shape functions in x direction.

virtual const concepts::LaguerreBasis< 0 > *	shpfctY () const =0
	Returns the shape functions in x direction.

virtual const concepts::LaguerreBasis< 1 > *	shpfctDY () const =0
	Returns the derivatives of the shape functions in x direction.

virtual const concepts::ElementGraphics< Real > *	graphics () const =0

virtual const concepts::TMatrix< Real > &	T () const
	Returns the T matrix of the element.

void	appendT (concepts::TColumn< Real > *T)
	Appends the T columns to the T matrix.

Real3d	elemMap (const Real coord_local) const

Real3d	elemMap (const Real2d &coord_local) const

Real3d	elemMap (const Real3d &coord_local) const

uint &	tag ()
	Returns the tag.

Static Public Member Functions
static void	setIntegrationRuleX (enum concepts::intRule rule, bool constant, uint points)

static void	setIntegrationRuleY (bool constant, uint points, const Real border)

static void	resetIntegrationRule ()
	Set the standard type of integration.

static std::string	integrationRule ()
	Returns information on the settings of the quadrature rule.

static Real &	borderY ()
	Largest value in local y coordinates. Default is 1.0.

Protected Member Functions
void	computeIntegrationRuleFromP_ (const ushort *p)

void	computeIntegrationRule_ (const uint nq[2])

void	computeShapefunctionsX_ ()
	gets the shapefunctions in x direction

virtual std::ostream &	info (std::ostream &os) const
	Returns information in an output stream.

Protected Attributes
ushort	p_ [2]
	Polynomial degree.

std::unique_ptr< concepts::QuadratureRule1d >	intX_
	The integration rules.

std::unique_ptr< concepts::QuadratureRule1d >	intY_

concepts::TMatrix< Real >	T_
	T matrix of the element.

Detailed Description

A 2D FEM element: an infinite quad.

Author: Kersten Schmidt, 2009.

Definition at line 316 of file quad.hh.

Member Typedef Documentation

◆ type

template<typename F >

typedef F concepts::ElementWithCell< F >::type

inherited

Definition at line 81 of file element.hh.

Constructor & Destructor Documentation

◆ InfiniteQuad()

hp2D::InfiniteQuad::InfiniteQuad	(	concepts::InfiniteQuad2d &	cell,
		const ushort *	p,
		concepts::TColumn< Real > *	T0,
		concepts::TColumn< Real > *	T1
	)

Constructor

Parameters

cell	Cell on which the element is defined
p	Polynomial degree (might be anisotropic)
T0	Part of the T matrix
T1	Part of the T matrix

Member Function Documentation

◆ appendT()

void hp2D::Element< Real >::appendT ( concepts::TColumn< Real > * T )

inlineinherited

Appends the T columns to the T matrix.

Definition at line 43 of file element.hh.

◆ borderY()

static Real & hp2D::InfiniteQuad::borderY ( )

inlinestatic

Largest value in local y coordinates. Default is 1.0.

Definition at line 387 of file quad.hh.

◆ cell()

const concepts::InfiniteQuad2d & hp2D::InfiniteQuad::cell ( ) const

inlinevirtual

Returns the cell on which the element is built.

Implements hp2D::Element< Real >.

Definition at line 331 of file quad.hh.

◆ elemMap() [1/3]

template<typename F >

Real3d concepts::ElementWithCell< F >::elemMap ( const Real coord_local ) const

inlineinherited

Definition at line 86 of file element.hh.

◆ elemMap() [2/3]

template<typename F >

Real3d concepts::ElementWithCell< F >::elemMap ( const Real2d & coord_local ) const

inlineinherited

Definition at line 90 of file element.hh.

◆ elemMap() [3/3]

template<typename F >

Real3d concepts::ElementWithCell< F >::elemMap ( const Real3d & coord_local ) const

inlineinherited

Definition at line 94 of file element.hh.

◆ graphics()

virtual const concepts::ElementGraphics< Real > * hp2D::InfiniteQuad::graphics ( ) const

pure virtual

Reimplemented from concepts::Element< F >.

◆ info()

virtual std::ostream & hp2D::InfiniteQuad::info ( std::ostream & os ) const

protectedvirtual

Returns information in an output stream.

Reimplemented from hp2D::Element< Real >.

Reimplemented in hp2D::InfiniteLaguerreQuad.

◆ integrationX()

const concepts::QuadratureRule1d * hp2D::InfiniteQuad::integrationX ( ) const

inline

Returns the integration rule in x direction.

Definition at line 338 of file quad.hh.

◆ integrationY()

const concepts::QuadratureRule1d * hp2D::InfiniteQuad::integrationY ( ) const

inline

Returns the integration rule in y direction.

Definition at line 342 of file quad.hh.

◆ p()

const ushort * hp2D::InfiniteQuad::p ( ) const

inline

Returns the polynomial degree. The returned array has 2 elements.

Definition at line 335 of file quad.hh.

◆ setIntegrationRuleX()

static void hp2D::InfiniteQuad::setIntegrationRuleX	(	enum concepts::intRule	rule,
		bool	constant,
		uint	points
	)

static

Sets the type of integration rule in x direction to use.

Parameters

rule	Determines the integration rule
constant	Use constant number of points
points	Number of points to use (for `constant = true`) or points to add to approximation order (for `constant = false`)

◆ setIntegrationRuleY()

static void hp2D::InfiniteQuad::setIntegrationRuleY	(	bool	constant,
		uint	points,
		const Real	border
	)

static

Sets the type of integration rule in y direction to use.

Parameters

constant	Use constant number of points
points	Number of points to use (for `constant = true`) or points to add to approximation order (for `constant = false`)
border	Largest value in local y coordinates.

◆ shpfctDX()

const concepts::Karniadakis< 1, 1 > * hp2D::InfiniteQuad::shpfctDX ( ) const

inline

Returns the derivatives of the shape functions in x direction.

Definition at line 375 of file quad.hh.

◆ shpfctDY()

virtual const concepts::LaguerreBasis< 1 > * hp2D::InfiniteQuad::shpfctDY ( ) const

pure virtual

Returns the derivatives of the shape functions in x direction.

Implemented in hp2D::InfiniteLaguerreQuad.

◆ shpfctX()

const concepts::Karniadakis< 1, 0 > * hp2D::InfiniteQuad::shpfctX ( ) const

inline

Returns the shape functions in x direction.

Definition at line 370 of file quad.hh.

◆ shpfctY()

virtual const concepts::LaguerreBasis< 0 > * hp2D::InfiniteQuad::shpfctY ( ) const

pure virtual

Returns the shape functions in x direction.

Implemented in hp2D::InfiniteLaguerreQuad.

◆ support()

const concepts::Connector2 & hp2D::InfiniteQuad::support ( ) const

inlinevirtual

Returns the topological support of the element. Possible supports for an element are quadrilaterals and triangles.

Implements hp2D::Element< Real >.

Definition at line 329 of file quad.hh.

◆ T()

virtual const concepts::TMatrix< Real > & hp2D::Element< Real >::T ( ) const

inlinevirtualinherited

Returns the T matrix of the element.

Implements concepts::ElementWithCell< F >.

Definition at line 40 of file element.hh.

◆ tag()

template<class F >

uint & concepts::Element< F >::tag ( )

inlineinherited

Returns the tag.

Definition at line 66 of file element.hh.

◆ vertex()

concepts::Real3d hp2D::InfiniteQuad::vertex ( uint i ) const

inlinevirtual

Returns the coordinates of the ith vertex of this element.

Parameters

i	Index of the vertex

Implements hp2D::Element< Real >.

Definition at line 330 of file quad.hh.

Member Data Documentation

◆ intX_

std::unique_ptr<concepts::QuadratureRule1d> hp2D::InfiniteQuad::intX_

protected

The integration rules.

Definition at line 402 of file quad.hh.

◆ intY_

std::unique_ptr<concepts::QuadratureRule1d> hp2D::InfiniteQuad::intY_

protected

Definition at line 403 of file quad.hh.

◆ p_

ushort hp2D::InfiniteQuad::p_[2]

protected

Polynomial degree.

Definition at line 399 of file quad.hh.

◆ T_

concepts::TMatrix<Real > hp2D::Element< Real >::T_

protectedinherited

T matrix of the element.

Definition at line 57 of file element.hh.

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

hp2D/quad.hh

Class documentation of Concepts

Public Types

Public Member Functions

Static Public Member Functions

Protected Member Functions

Protected Attributes

Detailed Description

Member Typedef Documentation

◆ type

Constructor & Destructor Documentation

◆ InfiniteQuad()

Member Function Documentation

◆ appendT()

◆ borderY()

◆ cell()

◆ elemMap() [1/3]

◆ elemMap() [2/3]

◆ elemMap() [3/3]

◆ graphics()

◆ info()

◆ integrationX()

◆ integrationY()

◆ p()

◆ setIntegrationRuleX()

◆ setIntegrationRuleY()

◆ shpfctDX()

◆ shpfctDY()

◆ shpfctX()

◆ shpfctY()

◆ support()

◆ T()

◆ tag()

◆ vertex()

Member Data Documentation

◆ intX_

◆ intY_

◆ p_

◆ T_