mfem::Poly_1D::Basis Class Reference

Class for evaluating 1D nodal, positive (Bernstein), or integrated (Gerritsma) bases. More...

#include <fe_base.hpp>

Public Member Functions
	Basis (const int p, const double *nodes, EvalType etype=Barycentric)
	Create a nodal or positive (Bernstein) basis of degree p. More...
void	Eval (const double x, Vector &u) const
	Evaluate the basis functions at point x in [0,1]. More...
void	Eval (const double x, Vector &u, Vector &d) const
	Evaluate the basis functions and their derivatives at point x in [0,1]. More...
void	Eval (const double x, Vector &u, Vector &d, Vector &d2) const
	Evaluate the basis functions and their first two derivatives at point x in [0,1]. More...
void	EvalIntegrated (const Vector &d, Vector &i) const
	Evaluate the "integrated" basis type using pre-computed closed basis derivatives. More...
void	ScaleIntegrated (bool scale_integrated_)
	Set whether the "integrated" basis should be scaled by the subcell sizes. Has no effect for non-integrated bases. More...
bool	IsIntegratedType () const
	Returns true if the basis is "integrated", false otherwise. More...
	~Basis ()

Detailed Description

Class for evaluating 1D nodal, positive (Bernstein), or integrated (Gerritsma) bases.

Definition at line 976 of file fe_base.hpp.

Constructor & Destructor Documentation

mfem::Poly_1D::Basis::Basis	(	const int	p,
		const double *	nodes,
		EvalType	etype = Barycentric
	)

Create a nodal or positive (Bernstein) basis of degree p.

Definition at line 1558 of file fe_base.cpp.

mfem::Poly_1D::Basis::~Basis

(

)

Definition at line 1884 of file fe_base.cpp.

Member Function Documentation

void mfem::Poly_1D::Basis::Eval	(	const double	x,
		Vector &	u
	)		const

Evaluate the basis functions at point x in [0,1].

Definition at line 1622 of file fe_base.cpp.

void mfem::Poly_1D::Basis::Eval	(	const double	x,
		Vector &	u,
		Vector &	d
	)		const

Evaluate the basis functions and their derivatives at point x in [0,1].

Definition at line 1683 of file fe_base.cpp.

void mfem::Poly_1D::Basis::Eval	(	const double	x,
		Vector &	u,
		Vector &	d,
		Vector &	d2
	)		const

Evaluate the basis functions and their first two derivatives at point x in [0,1].

Definition at line 1763 of file fe_base.cpp.

void mfem::Poly_1D::Basis::EvalIntegrated	(	const Vector &	d,
		Vector &	i
	)		const

Evaluate the "integrated" basis type using pre-computed closed basis derivatives.

This basis is given by the negative partial sum of the corresponding closed basis derivatives. The closed basis derivatives are given by d, and the result is stored in i.

Definition at line 1854 of file fe_base.cpp.

bool mfem::Poly_1D::Basis::IsIntegratedType ( ) const

inline

Returns true if the basis is "integrated", false otherwise.

Definition at line 1021 of file fe_base.hpp.

void mfem::Poly_1D::Basis::ScaleIntegrated

(

bool

scale_integrated_

)

Set whether the "integrated" basis should be scaled by the subcell sizes. Has no effect for non-integrated bases.

Generally, this should be true for mfem::FiniteElement::MapType VALUE and false for all other map types. If this option is enabled, the basis functions will be scaled by the widths of the subintervals, so that the basis functions represent mean values. Otherwise, the basis functions represent integrated values.

Definition at line 1879 of file fe_base.cpp.

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

• fem/fe/fe_base.hpp
• fem/fe/fe_base.cpp