#include <fe.hpp>

Classes
class	Basis

Public Types
enum	EvalType { ChangeOfBasis = 0, Barycentric = 1, Positive = 2, NumEvalTypes = 3 }

Public Member Functions
	Poly_1D ()

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

const double *	OpenPoints (const int p, const int btype=BasisType::GaussLegendre)

const double *	ClosedPoints (const int p, const int btype=BasisType::GaussLobatto)

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

	~Poly_1D ()

Static Public Member Functions
static const int *	Binom (const int p)
	Get a pointer 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 void	CalcBasis (const int p, const double x, double u, double d, double *dd)

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)

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

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

Detailed Description

Definition at line 1689 of file fe.hpp.

Member Enumeration Documentation

enum mfem::Poly_1D::EvalType

Enumerator
ChangeOfBasis
Barycentric
Positive
NumEvalTypes

Definition at line 1692 of file fe.hpp.

Constructor & Destructor Documentation

mfem::Poly_1D::Poly_1D ( )

inline

Definition at line 1735 of file fe.hpp.

mfem::Poly_1D::~Poly_1D ( )

Definition at line 7325 of file fe.cpp.

Member Function Documentation

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

static

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

Definition at line 7037 of file fe.cpp.

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

inlinestatic

Definition at line 1770 of file fe.hpp.

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

inlinestatic

Definition at line 1779 of file fe.hpp.

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

inlinestatic

Definition at line 1786 of file fe.hpp.

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

inlinestatic

Definition at line 1810 of file fe.hpp.

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

inlinestatic

Definition at line 1812 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 7086 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 7115 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 7150 of file fe.cpp.

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

inlinestatic

Definition at line 1794 of file fe.hpp.

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

static

Definition at line 7180 of file fe.cpp.

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

static

Definition at line 7194 of file fe.cpp.

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

static

Definition at line 7054 of file fe.cpp.

const double* mfem::Poly_1D::ClosedPoints	(	const int	p,
		const int	btype = `BasisType::GaussLobatto`
	)

inline

Definition at line 1754 of file fe.hpp.

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

Get a Poly_1D::Basis object of the given degree and BasisType, btype.

Parameters

[in]	p	The polynomial degree of the basis.
[in]	btype	The BasisType.

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

Definition at line 7303 of file fe.cpp.

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

Get the coordinates of the points of the given BasisType, btype.

Parameters

[in]	p	The polynomial degree; the number of points is `p+1`.
[in]	btype	The BasisType.

Returns: A pointer to an array containing the p+1 coordinates of the points. Returns NULL if the BasisType has no associated set of points.

Definition at line 7279 of file fe.cpp.

const double* mfem::Poly_1D::OpenPoints	(	const int	p,
		const int	btype = `BasisType::GaussLegendre`
	)

inline

Definition at line 1751 of file fe.hpp.

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

fem/fe.hpp
fem/fe.cpp

Classes

Public Types

Public Member Functions

Static Public Member Functions

Detailed Description

Member Enumeration Documentation

Constructor & Destructor Documentation

Member Function Documentation