Log-Gaussian quadrature over a line domain. More...

Public Types
typedef quadrature_base< log_gaussian_quadrature >	base_t
	the base class

typedef base_t::xi_t	xi_t
	the location type

typedef base_t::scalar_t	scalar_t
	the scalar type

typedef log_gaussian_quadrature	type
	self-returning

Public Types inherited from NiHu::quadrature_base< log_gaussian_quadrature >
typedef eigen_std_vector< typename quadr_elem< log_gaussian_quadrature >::type >::type	base_t
	the base vector class of the quadrature

typedef quadrature_traits< log_gaussian_quadrature >	traits_t
	traits type

typedef traits_t::domain_t	domain_t
	domain type

typedef domain_t::xi_t	xi_t
	local coordinate type

typedef domain_t::scalar_t	scalar_t
	local scalar type

typedef quadrature_elem< xi_t, scalar_t >	quadrature_elem_t
	quadrature elem type

Public Member Functions
	log_gaussian_quadrature ()
	default constructor creating an empty quadrature

	log_gaussian_quadrature (size_t degree)
	constructor for a given polynomial degree More...

Public Member Functions inherited from NiHu::quadrature_base< log_gaussian_quadrature >
	quadrature_base (size_t N=0)
	constructor allocating space for the quadrature elements More...

scalar_t	sum_of_weights (void) const
	return sum of quadrature weights More...

std::ostream &	print (std::ostream &os) const
	print a quadrature into an output stream More...

log_gaussian_quadrature &	operator*= (scalar_t const &c)
	multiply the quadrature by a scalar More...

log_gaussian_quadrature	transform (Eigen::Matrix< scalar_t, LSet::num_nodes, LSet::domain_t::dimension > const &coords) const
	transform the domain of the quadrature with a given shape set and corner points More...

log_gaussian_quadrature &	transform_inplace (const Eigen::Matrix< scalar_t, LSet::num_nodes, LSet::domain_t::dimension > &coords)
	transform the domain of the quadrature in place More...

log_gaussian_quadrature	operator+ (const quadrature_base< otherDerived > &other) const
	add two quadratures More...

log_gaussian_quadrature &	operator+= (const quadrature_base< otherDerived > &other)
	add another quadrature to this More...

Static Public Member Functions
static Eigen::Matrix< scalar_t, Eigen::Dynamic, 2 >	log_gauss_impl (size_t N)
	return 1D N-point log Gaussian quadrature More...

Detailed Description

Log-Gaussian quadrature over a line domain.

Definition at line 540 of file gaussian_quadrature.hpp.

Constructor & Destructor Documentation

NiHu::log_gaussian_quadrature::log_gaussian_quadrature ( size_t degree )

inline

constructor for a given polynomial degree

Parameters

[in] degree polynomial degree of the quadrature

Definition at line 681 of file gaussian_quadrature.hpp.

static Eigen::Matrix<scalar_t, Eigen::Dynamic, 2> NiHu::log_gaussian_quadrature::log_gauss_impl ( size_t N )

inlinestatic

return 1D N-point log Gaussian quadrature

Template Parameters

scalar_t the scalar type

Parameters

[in] N number of quadrature points

Definition at line 558 of file gaussian_quadrature.hpp.

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