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

#include <Intrepid_CubatureLineSorted.hpp>

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

Public Member Functions
	CubatureLineSorted (int degree=0, EIntrepidBurkardt rule=BURK_CLENSHAWCURTIS, bool isNormalized=false)
	Constructor. More...

	CubatureLineSorted (EIntrepidBurkardt rule=BURK_CLENSHAWCURTIS, int numPoints=0, bool isNormalized=false)
	Constructor. More...

	CubatureLineSorted (std::vector< Scalar > &points, std::vector< Scalar > &weights)

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. More...

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

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

const char *	getName () const
	Returns cubature name. More...

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

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

Scalar	getWeight (Scalar point)
	Get a specific weight described by the corresponding node. More...

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

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

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

Public Member Functions inherited from Intrepid::Cubature< Scalar, FieldContainer< Scalar >, FieldContainer< Scalar > >
virtual void	getCubature (FieldContainer< Scalar > &cubPoints, FieldContainer< Scalar > &cubWeights) const=0
	Returns cubature points and weights (return arrays must be pre-sized/pre-allocated). More...

virtual void	getCubature (FieldContainer< Scalar > &cubPoints, FieldContainer< Scalar > &cubWeights, FieldContainer< Scalar > &cellVertices) const=0
	Returns cubature points and weights on physical cells (return arrays must be pre-sized/pre-allocated). More...

virtual int	getNumPoints () const=0
	Returns the number of cubature points. More...

virtual int	getDimension () const=0
	Returns dimension of the integration domain. More...

virtual void	getAccuracy (std::vector< int > &accuracy) const=0
	Returns algebraic accuracy (e.g. max. degree of polynomial that is integrated exactly). For tensor-product or sparse rules, algebraic accuracy for each coordinate direction is returned. More...

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

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

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

int	degree_
	The degree of polynomials that are integrated exactly by this cubature rule. More...

EIntrepidBurkardt	rule_type_
	Type of integration points. More...

Static Private Attributes
static const char *	cubature_name_ = "INTREPID_CUBATURE_LINESORTED"
	Cubature name. More...

Detailed Description

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

Utilizes 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 89 of file Intrepid_CubatureLineSorted.hpp.

Constructor & Destructor Documentation

◆ ~CubatureLineSorted()

template<class Scalar , class ArrayPoint = FieldContainer<Scalar>, class ArrayWeight = ArrayPoint>

Intrepid::CubatureLineSorted< Scalar, ArrayPoint, ArrayWeight >::~CubatureLineSorted ( )

inline

Definition at line 120 of file Intrepid_CubatureLineSorted.hpp.

◆ CubatureLineSorted() [1/3]

template<class Scalar , class ArrayPoint , class ArrayWeight >

Intrepid::CubatureLineSorted< Scalar, ArrayPoint, ArrayWeight >::CubatureLineSorted	(	int	degree = `0`,
		EIntrepidBurkardt	rule = `BURK_CLENSHAWCURTIS`,
		bool	isNormalized = `false`
	)

Constructor.

Parameters

degree [in] - The degree of polynomials that are integrated exactly by this cubature rule. Default: 0.

Definition at line 52 of file Intrepid_CubatureLineSortedDef.hpp.

◆ CubatureLineSorted() [2/3]

template<class Scalar , class ArrayPoint , class ArrayWeight >

Intrepid::CubatureLineSorted< Scalar, ArrayPoint, ArrayWeight >::CubatureLineSorted	(	EIntrepidBurkardt	rule = `BURK_CLENSHAWCURTIS`,
		int	numPoints = `0`,
		bool	isNormalized = `false`
	)

Constructor.

Parameters

numPoints [in] - The number of cubature points. Default: 0.

Definition at line 159 of file Intrepid_CubatureLineSortedDef.hpp.

◆ CubatureLineSorted() [3/3]

template<class Scalar , class ArrayPoint , class ArrayWeight >

Intrepid::CubatureLineSorted< Scalar, ArrayPoint, ArrayWeight >::CubatureLineSorted	(	std::vector< Scalar > &	points,
		std::vector< Scalar > &	weights
	)

Definition at line 264 of file Intrepid_CubatureLineSortedDef.hpp.

Member Function Documentation

◆ begin()

template<class Scalar , class ArrayPoint , class ArrayWeight >

std::map< Scalar, int >::iterator Intrepid::CubatureLineSorted< Scalar, ArrayPoint, ArrayWeight >::begin ( void )

Initiate iterator at the beginning of data.

Definition at line 342 of file Intrepid_CubatureLineSortedDef.hpp.

Referenced by Intrepid::CubatureTensorSorted< Scalar, ArrayPoint, ArrayWeight >::CubatureTensorSorted(), and Intrepid::CubatureLineSorted< Scalar, ArrayPoint, ArrayWeight >::update().

◆ end()

template<class Scalar , class ArrayPoint , class ArrayWeight >

std::map< Scalar, int >::iterator Intrepid::CubatureLineSorted< Scalar, ArrayPoint, ArrayWeight >::end ( void )

Initiate iterator at the end of data.

Definition at line 347 of file Intrepid_CubatureLineSortedDef.hpp.

Referenced by Intrepid::CubatureTensorSorted< Scalar, ArrayPoint, ArrayWeight >::CubatureTensorSorted(), and Intrepid::CubatureLineSorted< Scalar, ArrayPoint, ArrayWeight >::update().

◆ getAccuracy()

template<class Scalar , class ArrayPoint , class ArrayWeight >

void Intrepid::CubatureLineSorted< Scalar, ArrayPoint, ArrayWeight >::getAccuracy ( std::vector< int > & accuracy ) const

virtual

Returns max. degree of polynomials that are integrated exactly. The return vector has size 1.

Implements Intrepid::Cubature< Scalar, FieldContainer< Scalar >, FieldContainer< Scalar > >.

Definition at line 289 of file Intrepid_CubatureLineSortedDef.hpp.

Referenced by Intrepid::CubatureTensorSorted< Scalar, ArrayPoint, ArrayWeight >::CubatureTensorSorted().

◆ getCubature() [1/2]

template<class Scalar , class ArrayPoint , class ArrayWeight >

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

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.

Definition at line 298 of file Intrepid_CubatureLineSortedDef.hpp.

◆ getCubature() [2/2]

template<class Scalar , class ArrayPoint , class ArrayWeight >

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

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

Definition at line 310 of file Intrepid_CubatureLineSortedDef.hpp.

◆ getDimension()

template<class Scalar , class ArrayPoint , class ArrayWeight >

int Intrepid::CubatureLineSorted< Scalar, ArrayPoint, ArrayWeight >::getDimension ( void ) const

virtual

Returns dimension of domain of integration.

Implements Intrepid::Cubature< Scalar, FieldContainer< Scalar >, FieldContainer< Scalar > >.

Definition at line 319 of file Intrepid_CubatureLineSortedDef.hpp.

◆ getName()

template<class Scalar , class ArrayPoint , class ArrayWeight >

const char * Intrepid::CubatureLineSorted< Scalar, ArrayPoint, ArrayWeight >::getName

Returns cubature name.

Definition at line 279 of file Intrepid_CubatureLineSortedDef.hpp.

◆ getNode()

template<class Scalar , class ArrayPoint , class ArrayWeight >

Scalar Intrepid::CubatureLineSorted< Scalar, ArrayPoint, ArrayWeight >::getNode ( typename std::map< Scalar, int >::iterator it )

Get a specific node described by the iterator location.

Definition at line 324 of file Intrepid_CubatureLineSortedDef.hpp.

Referenced by Intrepid::CubatureTensorSorted< Scalar, ArrayPoint, ArrayWeight >::CubatureTensorSorted().

◆ getNumPoints()

template<class Scalar , class ArrayPoint , class ArrayWeight >

int Intrepid::CubatureLineSorted< Scalar, ArrayPoint, ArrayWeight >::getNumPoints

virtual

Returns the number of cubature points.

Implements Intrepid::Cubature< Scalar, FieldContainer< Scalar >, FieldContainer< Scalar > >.

Definition at line 284 of file Intrepid_CubatureLineSortedDef.hpp.

Referenced by Intrepid::CubatureTensorSorted< Scalar, ArrayPoint, ArrayWeight >::CubatureTensorSorted(), and Intrepid::CubatureLineSorted< Scalar, ArrayPoint, ArrayWeight >::update().

◆ getWeight() [1/2]

template<class Scalar , class ArrayPoint , class ArrayWeight >

Scalar Intrepid::CubatureLineSorted< Scalar, ArrayPoint, ArrayWeight >::getWeight ( int weight )

Get a specific weight described by the integer location.

Definition at line 330 of file Intrepid_CubatureLineSortedDef.hpp.

Referenced by Intrepid::CubatureTensorSorted< Scalar, ArrayPoint, ArrayWeight >::CubatureTensorSorted(), and Intrepid::CubatureLineSorted< Scalar, ArrayPoint, ArrayWeight >::update().

◆ getWeight() [2/2]

template<class Scalar , class ArrayPoint , class ArrayWeight >

Scalar Intrepid::CubatureLineSorted< Scalar, ArrayPoint, ArrayWeight >::getWeight ( Scalar point )

Get a specific weight described by the corresponding node.

Definition at line 335 of file Intrepid_CubatureLineSortedDef.hpp.

◆ update()

template<class Scalar , class ArrayPoint , class ArrayWeight >

void Intrepid::CubatureLineSorted< Scalar, ArrayPoint, ArrayWeight >::update	(	Scalar	alpha2,
		CubatureLineSorted< Scalar > &	cubRule2,
		Scalar	alpha1
	)

Replace CubatureLineSorted values with "this = alpha1*this+alpha2*cubRule2".

Definition at line 352 of file Intrepid_CubatureLineSortedDef.hpp.

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

Member Data Documentation

◆ cubature_name_

template<class Scalar , class ArrayPoint , class ArrayWeight >

const char * Intrepid::CubatureLineSorted< Scalar, ArrayPoint, ArrayWeight >::cubature_name_ = "INTREPID_CUBATURE_LINESORTED"

staticprivate

Cubature name.

Definition at line 116 of file Intrepid_CubatureLineSorted.hpp.

◆ degree_

template<class Scalar , class ArrayPoint = FieldContainer<Scalar>, class ArrayWeight = ArrayPoint>

int Intrepid::CubatureLineSorted< Scalar, ArrayPoint, ArrayWeight >::degree_

private

The degree of polynomials that are integrated exactly by this cubature rule.

Definition at line 108 of file Intrepid_CubatureLineSorted.hpp.

◆ numPoints_

template<class Scalar , class ArrayPoint = FieldContainer<Scalar>, class ArrayWeight = ArrayPoint>

int Intrepid::CubatureLineSorted< Scalar, ArrayPoint, ArrayWeight >::numPoints_

private

Contains the number of nodes for this cubature rule.

Definition at line 103 of file Intrepid_CubatureLineSorted.hpp.

◆ points_

template<class Scalar , class ArrayPoint = FieldContainer<Scalar>, class ArrayWeight = ArrayPoint>

std::map<Scalar,int> Intrepid::CubatureLineSorted< Scalar, ArrayPoint, ArrayWeight >::points_

private

Contains points of this cubature rule.

Definition at line 95 of file Intrepid_CubatureLineSorted.hpp.

◆ rule_type_

template<class Scalar , class ArrayPoint = FieldContainer<Scalar>, class ArrayWeight = ArrayPoint>

EIntrepidBurkardt Intrepid::CubatureLineSorted< Scalar, ArrayPoint, ArrayWeight >::rule_type_

private

Type of integration points.

Definition at line 112 of file Intrepid_CubatureLineSorted.hpp.

◆ weights_

template<class Scalar , class ArrayPoint = FieldContainer<Scalar>, class ArrayWeight = ArrayPoint>

std::vector<Scalar> Intrepid::CubatureLineSorted< Scalar, ArrayPoint, ArrayWeight >::weights_

private

Contains points of this cubature rule.

Definition at line 99 of file Intrepid_CubatureLineSorted.hpp.

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

/build/trilinos-ovkOUD/trilinos-13.2.0/packages/intrepid/src/Discretization/Integration/Intrepid_CubatureLineSorted.hpp
/build/trilinos-ovkOUD/trilinos-13.2.0/packages/intrepid/src/Discretization/Integration/Intrepid_CubatureLineSortedDef.hpp

Public Member Functions

Private Attributes

Static Private Attributes

Detailed Description

Constructor & Destructor Documentation

◆ ~CubatureLineSorted()

◆ CubatureLineSorted() [1/3]

◆ CubatureLineSorted() [2/3]

◆ CubatureLineSorted() [3/3]

Member Function Documentation

◆ begin()

◆ end()

◆ getAccuracy()

◆ getCubature() [1/2]

◆ getCubature() [2/2]

◆ getDimension()

◆ getName()

◆ getNode()

◆ getNumPoints()

◆ getWeight() [1/2]

◆ getWeight() [2/2]

◆ update()

Member Data Documentation

◆ cubature_name_

◆ degree_

◆ numPoints_

◆ points_

◆ rule_type_

◆ weights_