gsQuadrature Struct Reference

Detailed Description

Helper class for obtaining a quadrature rule.

Public Types
enum	rule {   GaussLegendre ,   GaussLobatto ,   PatchRule }
	Quadrature rule types. More...

Static Public Member Functions
template<class T >
static gsQuadRule< T >	get (const gsBasis< T > &basis, const gsOptionList &options, short_t fixDir=-1)
	Constructs a quadrature rule based on input options.
template<class T >
static gsQuadRule< T >	get (index_t qu, gsVector< index_t > const &numNodes, unsigned digits=0)
	Constructs a quadrature rule based on input options.
template<class T >
static gsMatrix< T >	getAllNodes (const gsBasis< T > &basis, const gsGeometry< T > &geom, const gsOptionList &options, const patchSide side)
	Get all quadrature nodes for a specified side of a basis and evaluates them using a geometry.
template<class T >
static gsMatrix< T >	getAllNodes (const gsBasis< T > &basis, const gsGeometry< T > &geom, const gsOptionList &options, const std::vector< patchSide > sides)
	Collects and evaluates all quadrature nodes for multiple sides of a given basis.
template<class T >
static gsMatrix< T >	getAllNodes (const gsBasis< T > &basis, const gsOptionList &options)
	Retrieves all quadrature nodes for the given basis.
template<class T >
static gsMatrix< T >	getAllNodes (const gsBasis< T > &basis, const gsOptionList &options, const patchSide side)
	Get all quadrature nodes for a specified side of a given basis.
template<class T >
static gsMatrix< T >	getAllNodes (const gsBasis< T > &basis, const gsOptionList &options, const std::vector< patchSide > sides)
	Retrieves all quadrature nodes for multiple sides of a given basis.
template<class T >
static gsMatrix< T >	getAllNodes (const gsMultiBasis< T > &bases, const gsMultiPatch< T > &mp, const gsOptionList &options, const std::vector< patchSide > sides)
	Gets all quadrature nodes for several sides of a multi-basis for multi-patch geometry.
template<class T >
static std::vector< gsMatrix< T > >	getAllNodes (const gsMultiBasis< T > &bases, const gsOptionList &options, const std::vector< patchSide > sides)
	Collects all quadrature nodes for a multi-basis.
template<class T >
static gsQuadRule< T >::uPtr	getPtr (const gsBasis< T > &basis, const gsOptionList &options, short_t fixDir=-1)
	Constructs a quadrature rule based on input options.
template<class T >
static gsQuadRule< T >	getUnivariate (index_t qu, index_t numNodes, unsigned digits=0)
	Constructs a quadrature rule based on input options.
template<class T >
static gsVector< index_t >	numNodes (const gsBasis< T > &basis, const Real quA, const index_t quB, short_t fixDir=-1)

Member Enumeration Documentation

rule

enum rule

Quadrature rule types.

Enumerator
GaussLegendre	Gauss-Legendre quadrature.
GaussLobatto	Gauss-Lobatto quadrature.
PatchRule	Patch-wise quadrature rule (Johannessen 2017)

Member Function Documentation

getAllNodes() [1/3]

template<class T >

static gsMatrix< T > getAllNodes ( const gsBasis< T > &  basis, const gsOptionList &  options  )

inlinestatic

Retrieves all quadrature nodes for the given basis.

This function computes and returns all quadrature nodes for a given basis, using the provided options to determine the quadrature rules.

Template Parameters

T	Real type.

Parameters

[in]	basis	The basis for which quadrature nodes are computed.
[in]	options	Options specifying the quadrature rule.

Returns

A matrix where each column represents a quadrature node in the parametric domain.

getAllNodes() [2/3]

template<class T >

static gsMatrix< T > getAllNodes ( const gsBasis< T > &  basis, const gsOptionList &  options, const patchSide  side  )

inlinestatic

Get all quadrature nodes for a specified side of a given basis.

Template Parameters

T	Real type.

Parameters

[in]	basis	The basis for which the quadrature nodes are to be collected.
[in]	options	Quadrature rule.
[in]	side	The side of the basis.

Returns

result A matrix of quadrature nodes, where each column corresponds to a quadrature node.

getAllNodes() [3/3]

template<class T >

static gsMatrix< T > getAllNodes ( const gsMultiBasis< T > &  bases, const gsMultiPatch< T > &  mp, const gsOptionList &  options, const std::vector< patchSide >  sides  )

inlinestatic

Gets all quadrature nodes for several sides of a multi-basis for multi-patch geometry.

Template Parameters

T	Data type for computations.

Parameters

[in]	bases	The multi-basis for which the quadrature nodes are to be collected.
[in]	options	Options specifying the quadrature rule and other settings.
[in]	sides	A vector of sides corresponding to the patches in the multi-basis.
[in]	mp	A multi-patch geometry.

Returns

A vector of matrices, where each matrix contains quadrature nodes for a specific patch.

numNodes()

template<class T >

static gsVector< index_t > numNodes ( const gsBasis< T > &  basis, const Real  quA, const index_t  quB, short_t  fixDir = -1  )

inlinestatic

Computes and integer quA*deg_i + quB where deg_i is the degree of basis