LobattoQuadrature Class Reference

Class for creating a Gauss-Lobatto Quadrature declarations to integrate quantities in the iso-parametric elements. More...

#include <LobattoQuadrature.hpp>

Inheritance diagram for LobattoQuadrature:

Collaboration diagram for LobattoQuadrature:

Public Member Functions
	LobattoQuadrature (std::string name, unsigned int nQp)
	Creates a LobattoQuadrature for Element integration. More...
	~LobattoQuadrature ()
	Destroys this LobattoQuadrature object. More...
unsigned int	GetNumberOfQuadraturePoints ()
	Gets Number of Gauss Integration Points. More...
void	GetQuadraturePoints (std::string name, Eigen::VectorXd &wi, Eigen::MatrixXd &xi)
	Gets Gauss Integration Points. More...
Public Member Functions inherited from QuadratureRule
	QuadratureRule (std::string name)
	Creates a QuadratureRule for Element integration. More...
virtual	~QuadratureRule ()=0
	Destroys this QuadratureRule object. More...
std::string	GetQuadratureName ()
	Gets the Element's Quadrature Name. More...

Private Member Functions
void	SetLineQuadraturePoints (Eigen::VectorXd &wi, Eigen::MatrixXd &xi)
	Sets Gauss Quadrature for Line Elements. More...
void	SetTriaQuadraturePoints (Eigen::VectorXd &wi, Eigen::MatrixXd &xi)
	Sets Gauss Quadrature for Triangular Elements. More...
void	SetQuadQuadraturePoints (Eigen::VectorXd &wi, Eigen::MatrixXd &xi)
	Sets Gauss Quadrature for Quadrilateral Elements. More...
void	SetTetraQuadraturePoints (Eigen::VectorXd &wi, Eigen::MatrixXd &xi)
	Sets Gauss Quadrature for Tetrahedron Elements. More...
void	SetHexaQuadraturePoints (Eigen::VectorXd &wi, Eigen::MatrixXd &xi)
	Sets Gauss Quadrature for Hexahedron Elements. More...

Private Attributes
unsigned int	nQuadraturePoints
	Number of Quadrature Points. More...
unsigned int	nOrderQuadrature
	Number of Surface Quadrature Points. More...

Detailed Description

Class for creating a Gauss-Lobatto Quadrature declarations to integrate quantities in the iso-parametric elements.

See also

Element.hpp QuadratureRule.hpp

Constructor & Destructor Documentation

LobattoQuadrature()

LobattoQuadrature::LobattoQuadrature	(	std::string	name,
		unsigned int	nQp
	)

Creates a LobattoQuadrature for Element integration.

Parameters

name	Generic name of the Element for this quadrature rule.
nQp	Number of quadrature points.

Note

More details can be found at Lobatto Quadrature.

See also

LobattoQuadrature::nQuadraturePoints, LobattoQuadrature::nOrderQuadrature.

~LobattoQuadrature()

LobattoQuadrature::~LobattoQuadrature

(

)

Destroys this LobattoQuadrature object.

Member Function Documentation

GetNumberOfQuadraturePoints()

unsigned int LobattoQuadrature::GetNumberOfQuadraturePoints ( )

virtual

Gets Number of Gauss Integration Points.

Returns

The number of Gauss Integration Points.

Implements QuadratureRule.

GetQuadraturePoints()

void LobattoQuadrature::GetQuadraturePoints ( std::string  name, Eigen::VectorXd &  wi, Eigen::MatrixXd &  xi  )

virtual

Gets Gauss Integration Points.

Parameters

name	Generic name of the Element for this quadrature rule.
wi	The Gauss quadrature weights.
xi	The Gauss quadrature coordinates.

Implements QuadratureRule.

SetHexaQuadraturePoints()

void LobattoQuadrature::SetHexaQuadraturePoints ( Eigen::VectorXd &  wi, Eigen::MatrixXd &  xi  )

private

Sets Gauss Quadrature for Hexahedron Elements.

Parameters

wi	The Gauss quadrature weights.
xi	The Gauss quadrature coordinates.

Note

This function returns the Hexahedron quadrature information, see linkLobattoQuadrature.

SetLineQuadraturePoints()

void LobattoQuadrature::SetLineQuadraturePoints ( Eigen::VectorXd &  wi, Eigen::MatrixXd &  xi  )

private

Sets Gauss Quadrature for Line Elements.

Parameters

wi	The Gauss quadrature weights.
xi	The Gauss quadrature coordinates.

Note

This function returns the Hexahedron quadrature information, see linkLobattoQuadrature.

SetQuadQuadraturePoints()

void LobattoQuadrature::SetQuadQuadraturePoints ( Eigen::VectorXd &  wi, Eigen::MatrixXd &  xi  )

private

Sets Gauss Quadrature for Quadrilateral Elements.

Parameters

wi	The Gauss quadrature weights.
xi	The Gauss quadrature coordinates.

Note

This function returns the Hexahedron quadrature information, see linkLobattoQuadrature.

SetTetraQuadraturePoints()

void LobattoQuadrature::SetTetraQuadraturePoints ( Eigen::VectorXd &  wi, Eigen::MatrixXd &  xi  )

private

Sets Gauss Quadrature for Tetrahedron Elements.

Parameters

wi	The Gauss quadrature weights.
xi	The Gauss quadrature coordinates.

Note

This function returns the Hexahedron quadrature information, see linkLobattoQuadrature.

SetTriaQuadraturePoints()

void LobattoQuadrature::SetTriaQuadraturePoints ( Eigen::VectorXd &  wi, Eigen::MatrixXd &  xi  )

private

Sets Gauss Quadrature for Triangular Elements.

Parameters

wi	The Gauss quadrature weights.
xi	The Gauss quadrature coordinates.

Note

This function returns the Hexahedron quadrature information, see linkLobattoQuadrature.

Member Data Documentation

nOrderQuadrature

unsigned int LobattoQuadrature::nOrderQuadrature

private

Number of Surface Quadrature Points.

nQuadraturePoints

unsigned int LobattoQuadrature::nQuadraturePoints

private

Number of Quadrature Points.