Utilizes 1D cubature (integration) rules contained in the library sandia_rules (John Burkardt, Scientific Computing, Florida State University) within Intrepid. More...

#include <Intrepid_CubatureTensorSorted.hpp>

Inheritance diagram for Intrepid::CubatureTensorSorted< Scalar, ArrayPoint, ArrayWeight >:

Public Member Functions
	CubatureTensorSorted (int numPoints=0, int dimension=1)

	CubatureTensorSorted (CubatureLineSorted< Scalar > &cubLine)
	Constructor. More...

	CubatureTensorSorted (int dimension, std::vector< int > numPoints1D, std::vector< EIntrepidBurkardt > rule1D, bool isNormalized)
	Constructor. More...

	CubatureTensorSorted (int dimension, std::vector< int > numPoints1D, std::vector< EIntrepidBurkardt > rule1D, std::vector< EIntrepidGrowth > growth1D, bool isNormalized)
	Constructor. More...

	CubatureTensorSorted (int dimension, int maxNumPoints, std::vector< EIntrepidBurkardt > rule1D, std::vector< EIntrepidGrowth > growth1D, bool isNormalized)
	Constructor. More...

void	getCubature (ArrayPoint &cubPoints, ArrayWeight &cubWeights) const
	Returns cubature points and weights (return arrays must be pre-sized/pre-allocated). More...

void	getCubature (ArrayPoint &cubPoints, ArrayWeight &cubWeights, ArrayPoint &cellCoords) const
	Returns cubature points and weights. Method for physical space cubature, throws an exception. More...

int	getNumPoints () const
	Returns the number of cubature points.

void	getAccuracy (std::vector< int > &accuracy) const
	Returns max. degree of polynomials that are integrated exactly. The return vector has size 1.

int	getDimension () const
	Returns dimension of domain of integration.

std::map< std::vector< Scalar > , int >::iterator	begin ()
	Initiate iterator at the beginning of data.

std::map< std::vector< Scalar > , int >::iterator	end ()
	Initiate iterator at the end of data.

void	insert (typename std::map< std::vector< Scalar >, int >::iterator it, std::vector< Scalar > point, Scalar weight)
	Insert a node and weight into data near the iterator position.

std::vector< Scalar >	getNode (typename std::map< std::vector< Scalar >, int >::iterator it)
	Get a specific node described by the iterator location.

Scalar	getWeight (int node)
	Get a specific weight described by the integer location.

Scalar	getWeight (std::vector< Scalar > point)
	Get a specific weight described by the iterator location.

void	update (Scalar alpha2, CubatureTensorSorted< Scalar > &cubRule2, Scalar alpha1)
	Replace CubatureLineSorted values with "this = alpha1this+alpha2cubRule2".

void	normalize ()
	Normalize CubatureLineSorted weights.

Private Attributes
std::map< std::vector< Scalar > , int >	points_
	Contains nodes of this cubature rule.

std::vector< Scalar >	weights_
	Contains weights of this cubature rule.

int	numPoints_
	Contains the number of nodes for this cubature rule.

std::vector< int >	degree_
	The degree of polynomials that are integrated exactly by this cubature rule.

int	dimension_
	Dimension of integration domain.

Detailed Description

template<class Scalar, class ArrayPoint = FieldContainer<Scalar>, class ArrayWeight = ArrayPoint>
class Intrepid::CubatureTensorSorted< Scalar, ArrayPoint, ArrayWeight >

Utilizes 1D cubature (integration) rules contained in the library sandia_rules (John Burkardt, Scientific Computing, Florida State University) within Intrepid.

This class contains ten rules:

Gauss-Chebyshev Type 1 - integration domain is [-1,+1] with weight w(x) = 1/sqrt(1-x^2)
Gauss-Chebyshev Type 2 - integration domain is [-1,+1] with weight w(x) = sqrt(1-x^2)
Clenshaw-Curtis - integration domain is [-1,+1] with weight w(x) = 1
Fejer Type 2 - integration domain is [-1,+1] with weight w(x) = 1
Gauss-Legendre - integration domain is [-1,+1] with weight w(x) = 1
Gauss-Patterson - integration domain is [-1,+1] with weight w(x) = 1
Trapezoidal - integration domain is [-1,+1] with weight w(x) = 1
Gauss-Hermite - integration domain is (-oo,+oo) with weight w(x) = exp(-x^2)
Hermite-Genz-Keister - integration domain is (-oo,+oo) with weight w(x) = exp(-x^2)
Gauss-Laguerre - integration domain is [0,+oo) with weight w(x) = exp(-x)

Definition at line 90 of file Intrepid_CubatureTensorSorted.hpp.

Constructor & Destructor Documentation

template<class Scalar , class ArrayPoint , class ArrayWeight >

Intrepid::CubatureTensorSorted< Scalar, ArrayPoint, ArrayWeight >::CubatureTensorSorted ( CubatureLineSorted< Scalar > & cubLine )

Constructor.

Parameters

cubLine [in] - 1D cubature rule.

Definition at line 64 of file Intrepid_CubatureTensorSortedDef.hpp.

References Intrepid::CubatureLineSorted< Scalar, ArrayPoint, ArrayWeight >::begin(), Intrepid::CubatureLineSorted< Scalar, ArrayPoint, ArrayWeight >::end(), Intrepid::CubatureLineSorted< Scalar, ArrayPoint, ArrayWeight >::getAccuracy(), Intrepid::CubatureLineSorted< Scalar, ArrayPoint, ArrayWeight >::getNode(), Intrepid::CubatureLineSorted< Scalar, ArrayPoint, ArrayWeight >::getNumPoints(), and Intrepid::CubatureLineSorted< Scalar, ArrayPoint, ArrayWeight >::getWeight().

template<class Scalar , class ArrayPoint , class ArrayWeight >

Intrepid::CubatureTensorSorted< Scalar, ArrayPoint, ArrayWeight >::CubatureTensorSorted	(	int	dimension,
		std::vector< int >	numPoints1D,
		std::vector< EIntrepidBurkardt >	rule1D,
		bool	isNormalized
	)

Constructor.

Parameters

dimension	[in] - The number of spatial dimensions.
numPoints1D	[in] - The number of cubature points in each direction.
rule1D	[in] - The cubature rule for each direction.
isNormalized	[in] - Flag whether or not to normalize the cubature weights.

Definition at line 87 of file Intrepid_CubatureTensorSortedDef.hpp.

References Intrepid::CubatureTensorSorted< Scalar, ArrayPoint, ArrayWeight >::begin(), Intrepid::CubatureTensorSorted< Scalar, ArrayPoint, ArrayWeight >::end(), Intrepid::CubatureLineSorted< Scalar, ArrayPoint, ArrayWeight >::getAccuracy(), Intrepid::CubatureTensorSorted< Scalar, ArrayPoint, ArrayWeight >::getNumPoints(), and Intrepid::CubatureTensorSorted< Scalar, ArrayPoint, ArrayWeight >::getWeight().

template<class Scalar , class ArrayPoint , class ArrayWeight >

Intrepid::CubatureTensorSorted< Scalar, ArrayPoint, ArrayWeight >::CubatureTensorSorted	(	int	dimension,
		std::vector< int >	numPoints1D,
		std::vector< EIntrepidBurkardt >	rule1D,
		std::vector< EIntrepidGrowth >	growth1D,
		bool	isNormalized
	)

Constructor.

Parameters

dimension	[in] - The number of spatial dimensions.
numPoints1D	[in] - The number of cubature points in each direction.
rule1D	[in] - The cubature rule for each direction.
isNormalized	[in] - Flag whether or not to normalize the cubature weights.

Definition at line 123 of file Intrepid_CubatureTensorSortedDef.hpp.

References Intrepid::CubatureTensorSorted< Scalar, ArrayPoint, ArrayWeight >::begin(), Intrepid::CubatureTensorSorted< Scalar, ArrayPoint, ArrayWeight >::end(), Intrepid::CubatureLineSorted< Scalar, ArrayPoint, ArrayWeight >::getAccuracy(), Intrepid::CubatureTensorSorted< Scalar, ArrayPoint, ArrayWeight >::getNumPoints(), and Intrepid::CubatureTensorSorted< Scalar, ArrayPoint, ArrayWeight >::getWeight().

template<class Scalar , class ArrayPoint , class ArrayWeight >

Intrepid::CubatureTensorSorted< Scalar, ArrayPoint, ArrayWeight >::CubatureTensorSorted	(	int	dimension,
		int	maxNumPoints,
		std::vector< EIntrepidBurkardt >	rule1D,
		std::vector< EIntrepidGrowth >	growth1D,
		bool	isNormalized
	)

Constructor.

Parameters

dimension	[in] - The number of spatial dimensions.
maxNumPoints	[in] - The maximum number of cubature points in each direction.
rule1D	[in] - The cubature rule for each direction.
growth1D	[in] - Growth rule for each direction.
isNormalized	[in] - Flag whether or not to normalize the cubature weights.

Definition at line 163 of file Intrepid_CubatureTensorSortedDef.hpp.

References Intrepid::CubatureTensorSorted< Scalar, ArrayPoint, ArrayWeight >::begin(), Intrepid::CubatureTensorSorted< Scalar, ArrayPoint, ArrayWeight >::end(), Intrepid::CubatureLineSorted< Scalar, ArrayPoint, ArrayWeight >::getAccuracy(), Intrepid::CubatureTensorSorted< Scalar, ArrayPoint, ArrayWeight >::getNumPoints(), and Intrepid::CubatureTensorSorted< Scalar, ArrayPoint, ArrayWeight >::getWeight().

Member Function Documentation

template<class Scalar , class ArrayPoint , class ArrayWeight >

void Intrepid::CubatureTensorSorted< Scalar, ArrayPoint, ArrayWeight >::getCubature	(	ArrayPoint &	cubPoints,
		ArrayWeight &	cubWeights
	)		const

virtual

Returns cubature points and weights (return arrays must be pre-sized/pre-allocated).

Parameters

cubPoints	[out] - Array containing the cubature points.
cubWeights	[out] - Array of corresponding cubature weights.

Implements Intrepid::Cubature< Scalar, ArrayPoint, ArrayWeight >.

Definition at line 216 of file Intrepid_CubatureTensorSortedDef.hpp.

template<class Scalar , class ArrayPoint , class ArrayWeight >

void Intrepid::CubatureTensorSorted< Scalar, ArrayPoint, ArrayWeight >::getCubature	(	ArrayPoint &	cubPoints,
		ArrayWeight &	cubWeights,
		ArrayPoint &	cellCoords
	)		const

virtual

Returns cubature points and weights. Method for physical space cubature, throws an exception.

Parameters

cubPoints	[out] - Array containing the cubature points.
cubWeights	[out] - Array of corresponding cubature weights.
cellCoords	[in] - Array of cell coordinates

Implements Intrepid::Cubature< Scalar, ArrayPoint, ArrayWeight >.

Definition at line 241 of file Intrepid_CubatureTensorSortedDef.hpp.

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

http://docs.trilinos.org/r12.18/packages/intrepid/src/Discretization/Integration/Intrepid_CubatureTensorSorted.hpp
http://docs.trilinos.org/r12.18/packages/intrepid/src/Discretization/Integration/Intrepid_CubatureTensorSortedDef.hpp

Public Member Functions

Private Attributes

Detailed Description

template<class Scalar, class ArrayPoint = FieldContainer<Scalar>, class ArrayWeight = ArrayPoint> class Intrepid::CubatureTensorSorted< Scalar, ArrayPoint, ArrayWeight >

Constructor & Destructor Documentation

Member Function Documentation

template<class Scalar, class ArrayPoint = FieldContainer<Scalar>, class ArrayWeight = ArrayPoint>
class Intrepid::CubatureTensorSorted< Scalar, ArrayPoint, ArrayWeight >