#include <fe.hpp>

Classes
class	Basis

Public Member Functions
	Poly_1D ()

const double *	GetPoints (const int p, const int type)
	Get the coordinates of the points of the given Quadrature1D type. More...

const double *	OpenPoints (const int p, const int type=Quadrature1D::GaussLegendre)

const double *	ClosedPoints (const int p, const int type=Quadrature1D::GaussLobatto)

Basis &	GetBasis (const int p, const int type)
	Get a Poly_1D::Basis object of the given degree and Quadrature1D type. More...

Basis &	OpenBasis (const int p, const int type=Quadrature1D::GaussLegendre)

Basis &	ClosedBasis (const int p, const int type=Quadrature1D::GaussLobatto)

	~Poly_1D ()

Static Public Member Functions
static const int *	Binom (const int p)
	Get a poiner to an array containing the binomial coefficients "p choose k" for k=0,...,p for the given p. More...

static void	CalcBasis (const int p, const double x, double *u)

static void	CalcBasis (const int p, const double x, double u, double d)

static double	CalcDelta (const int p, const double x)

static void	ChebyshevPoints (const int p, double *x)

static void	CalcBinomTerms (const int p, const double x, const double y, double *u)
	Compute the terms in the expansion of the binomial (x + y)^p. More...

static void	CalcBinomTerms (const int p, const double x, const double y, double u, double d)

static void	CalcDBinomTerms (const int p, const double x, const double y, double *d)

static void	CalcBernstein (const int p, const double x, double *u)

static void	CalcBernstein (const int p, const double x, double u, double d)

Detailed Description

Definition at line 1364 of file fe.hpp.

Constructor & Destructor Documentation

mfem::Poly_1D::Poly_1D ( )

inline

Definition at line 1399 of file fe.hpp.

mfem::Poly_1D::~Poly_1D ( )

Definition at line 6594 of file fe.cpp.

Member Function Documentation

const int * mfem::Poly_1D::Binom ( const int p )

static

Get a poiner to an array containing the binomial coefficients "p choose k" for k=0,...,p for the given p.

Definition at line 6338 of file fe.cpp.

static void mfem::Poly_1D::CalcBasis	(	const int	p,
		const double	x,
		double *	u
	)

inlinestatic

Definition at line 1434 of file fe.hpp.

static void mfem::Poly_1D::CalcBasis	(	const int	p,
		const double	x,
		double *	u,
		double *	d
	)

inlinestatic

Definition at line 1443 of file fe.hpp.

static void mfem::Poly_1D::CalcBernstein	(	const int	p,
		const double	x,
		double *	u
	)

inlinestatic

Definition at line 1466 of file fe.hpp.

static void mfem::Poly_1D::CalcBernstein	(	const int	p,
		const double	x,
		double *	u,
		double *	d
	)

inlinestatic

Definition at line 1468 of file fe.hpp.

void mfem::Poly_1D::CalcBinomTerms	(	const int	p,
		const double	x,
		const double	y,
		double *	u
	)

static

Compute the terms in the expansion of the binomial (x + y)^p.

Definition at line 6387 of file fe.cpp.

void mfem::Poly_1D::CalcBinomTerms	(	const int	p,
		const double	x,
		const double	y,
		double *	u,
		double *	d
	)

static

Compute the terms in the expansion of the binomial (x + y)^p and their derivatives with respect to x assuming that dy/dx = -1.

Definition at line 6416 of file fe.cpp.

void mfem::Poly_1D::CalcDBinomTerms	(	const int	p,
		const double	x,
		const double	y,
		double *	d
	)

static

Compute the derivatives (w.r.t. x) of the terms in the expansion of the binomial (x + y)^p assuming that dy/dx = -1.

Definition at line 6451 of file fe.cpp.

static double mfem::Poly_1D::CalcDelta	(	const int	p,
		const double	x
	)

inlinestatic

Definition at line 1450 of file fe.hpp.

void mfem::Poly_1D::ChebyshevPoints	(	const int	p,
		double *	x
	)

static

Definition at line 6355 of file fe.cpp.

Basis& mfem::Poly_1D::ClosedBasis	(	const int	p,
		const int	type = `Quadrature1D::GaussLobatto`
	)

inline

Definition at line 1428 of file fe.hpp.

const double* mfem::Poly_1D::ClosedPoints	(	const int	p,
		const int	type = `Quadrature1D::GaussLobatto`
	)

inline

Definition at line 1414 of file fe.hpp.

Poly_1D::Basis & mfem::Poly_1D::GetBasis	(	const int	p,
		const int	type
	)

Get a Poly_1D::Basis object of the given degree and Quadrature1D type.

Parameters

p	the polynomial degree of the basis.
type	the Quadrature1D type.

Returns: a reference to an object of type Poly_1D::Basis that represents the requested nodal basis.

Definition at line 6573 of file fe.cpp.

const double * mfem::Poly_1D::GetPoints	(	const int	p,
		const int	type
	)

Get the coordinates of the points of the given Quadrature1D type.

Parameters

p	the polynomial degree; the number of points is `p+1`.
type	the Quadrature1D type.

Returns: a pointer to an array containing the p+1 coordiantes of the quadrature points.

Definition at line 6552 of file fe.cpp.

Basis& mfem::Poly_1D::OpenBasis	(	const int	p,
		const int	type = `Quadrature1D::GaussLegendre`
	)

inline

Definition at line 1425 of file fe.hpp.

const double* mfem::Poly_1D::OpenPoints	(	const int	p,
		const int	type = `Quadrature1D::GaussLegendre`
	)

inline

Definition at line 1411 of file fe.hpp.

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

Classes

Public Member Functions

Static Public Member Functions

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation