ippl::ChebyshevGaussQuadrature< T, NumNodes1D, ElementType > Class Template Reference

This is class represents the Chebyshev-Gauss quadrature rule. It is a special case of the Gauss-Jacobi quadrature rule with alpha = beta = -0.5. More...

#include <GaussJacobiQuadrature.h>

Inheritance diagram for ippl::ChebyshevGaussQuadrature< T, NumNodes1D, ElementType >:

Collaboration diagram for ippl::ChebyshevGaussQuadrature< T, NumNodes1D, ElementType >:

Public Member Functions
	ChebyshevGaussQuadrature (const ElementType &ref_element, const size_t &max_newton_itersations=10, const size_t &min_newton_iterations=1)
	Construct a new Chebyshev Gauss Quadrature rule object.
Public Member Functions inherited from ippl::GaussJacobiQuadrature< T, NumNodes1D, ElementType >
	GaussJacobiQuadrature (const ElementType &ref_element, const T &alpha, const T &beta, const size_t &max_newton_itersations=10, const size_t &min_newton_iterations=1)
	Construct a new Gauss Jacobi Quadrature rule object.
void	computeNodesAndWeights () override
scalar_t	getChebyshevNodes (const size_t &i) const
	Returns the i-th Chebyshev node, used as initial guess for the Newton iterations.
Public Member Functions inherited from ippl::Quadrature< T, NumNodes1D, ElementType >
	Quadrature (const ElementType &ref_element)
	Construct a new Quadrature object.
size_t	getOrder () const
	Returns the order of the quadrature rule. (order = degree + 1)
size_t	getDegree () const
	Returns the degree of exactness of the quadrature rule.
Vector< T, numElementNodes >	getWeightsForRefElement () const
	Get the quadrature weights for the reference element.
Vector< Vector< T, dim >, numElementNodes >	getIntegrationNodesForRefElement () const
	Get the integration (quadrature) nodes for the reference element.
Vector< T, NumNodes1D >	getIntegrationNodes1D (const T &a, const T &b) const
	Get the quadrature nodes for one dimension. (With respect to the given domain [a, b])
Vector< T, NumNodes1D >	getWeights1D (const T &a, const T &b) const
	Get the quadrature weights for one dimension. (With respect to the given domain [a, b])

Additional Inherited Members
Public Types inherited from ippl::GaussJacobiQuadrature< T, NumNodes1D, ElementType >
using	scalar_t = double
Static Public Attributes inherited from ippl::Quadrature< T, NumNodes1D, ElementType >
static constexpr unsigned	numNodes1D = NumNodes1D
static constexpr unsigned	dim = ElementType::dim
static constexpr unsigned	numElementNodes
Protected Attributes inherited from ippl::Quadrature< T, NumNodes1D, ElementType >
unsigned	degree_m
const ElementType &	ref_element_m
Vector< T, NumNodes1D >	integration_nodes_m
Vector< T, NumNodes1D >	weights_m
T	a_m
T	b_m

Detailed Description

template<typename T, unsigned NumNodes1D, typename ElementType>
class ippl::ChebyshevGaussQuadrature< T, NumNodes1D, ElementType >

This is class represents the Chebyshev-Gauss quadrature rule. It is a special case of the Gauss-Jacobi quadrature rule with alpha = beta = -0.5.

Template Parameters

T	floating point number type of the quadrature nodes and weights
NumNodes1D	number of quadrature nodes for one dimension
ElementType	element type for which the quadrature rule is defined

Constructor & Destructor Documentation

ChebyshevGaussQuadrature()

template<typename T , unsigned NumNodes1D, typename ElementType >

ippl::ChebyshevGaussQuadrature< T, NumNodes1D, ElementType >::ChebyshevGaussQuadrature ( const ElementType &  ref_element, const size_t &  max_newton_itersations = 10, const size_t &  min_newton_iterations = 1  )

inline

Construct a new Chebyshev Gauss Quadrature rule object.

Parameters

ref_element	reference element to compute the quadrature nodes on
max_newton_itersations	maximum number of Newton iterations (default 10)
min_newton_iterations	minimum number of Newton iterations (default 1)

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

• ippl-src/src/FEM/Quadrature/GaussJacobiQuadrature.h