Space of polynomial functions. More...

#include <fe_p.hh>

Collaboration diagram for PolynomialSpace< degree, dim >:

Public Member Functions
	PolynomialSpace ()
	Constructor. More...

const double	basis_value (unsigned int i, const arma::vec::fixed< dim > &p) const
	Value of the `i` th basis function at point `p`. More...

const arma::vec::fixed< dim >	basis_grad (unsigned int i, const arma::vec::fixed< dim > &p) const
	Gradient of the `i` th basis function at point `p`. More...

Private Attributes
std::vector< arma::uvec::fixed < dim > >	powers
	Coefficients of basis functions. More...

Detailed Description

Space of polynomial functions.

This class serves for evaluation of the value and gradient of a polynomial of order degree in dim variables.

Definition at line 47 of file fe_p.hh.

Constructor & Destructor Documentation

template<unsigned int degree, unsigned int dim>

PolynomialSpace< degree, dim >::PolynomialSpace ( )

Constructor.

Creates the coefficients of the basis.

Definition at line 267 of file fe_p.hh.

template<unsigned int degree, unsigned int dim>

const arma::vec::fixed< dim > PolynomialSpace< degree, dim >::basis_grad	(	unsigned int	i,
		const arma::vec::fixed< dim > &	p
	)		const

Gradient of the i th basis function at point p.

Parameters

i	Number of the basis function.
p	Point at which the function is evaluated.

Definition at line 317 of file fe_p.hh.

template<unsigned int degree, unsigned int dim>

const double PolynomialSpace< degree, dim >::basis_value	(	unsigned int	i,
		const arma::vec::fixed< dim > &	p
	)		const

Value of the i th basis function at point p.

Parameters

i	Number of the basis function.
p	Point at which the function is evaluated.

Definition at line 303 of file fe_p.hh.

template<unsigned int degree, unsigned int dim>

std::vector<arma::uvec::fixed<dim> > PolynomialSpace< degree, dim >::powers

private

Coefficients of basis functions.

Powers of x, y, z, ... in the i-th basis function are stored in powers[i].

Definition at line 80 of file fe_p.hh.

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