PolynomialSpace Class Reference

Space of polynomial functions. More...

#include <fe_p.hh>

Inheritance diagram for PolynomialSpace:

Collaboration diagram for PolynomialSpace:

Public Member Functions
	PolynomialSpace (unsigned int degree, unsigned int dim)
	Constructor. More...
const double	basis_value (unsigned int basis_index, const arma::vec &point, unsigned int comp_index=0) const override
	Value of the i th basis function at point point. More...
const arma::vec	basis_grad (unsigned int basis_index, const arma::vec &point, unsigned int comp_index=0) const override
	Gradient of the i th basis function at point point. More...
const unsigned int	dim () const override
	Dimension of function space (number of basis functions). More...
Public Member Functions inherited from FunctionSpace
	FunctionSpace (unsigned int space_dim, unsigned int n_components)
const unsigned int	space_dim () const
	Getter for space dimension. More...
const unsigned int	n_components () const
	Getter for number of components. More...
virtual	~FunctionSpace ()

Private Attributes
const unsigned int	degree_
	Max. degree of polynomials. More...
std::vector< arma::uvec >	powers
	Coefficients of basis functions. More...

Additional Inherited Members
Protected Attributes inherited from FunctionSpace
unsigned int	space_dim_
	Space dimension of function arguments (i.e. 1, 2 or 3). More...
unsigned int	n_components_
	Number of components of function values. 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 35 of file fe_p.hh.

Constructor & Destructor Documentation

PolynomialSpace::PolynomialSpace	(	unsigned int	degree,
		unsigned int	dim
	)

Constructor.

Creates the coefficients of the basis.

Definition at line 25 of file fe_p.cc.

Member Function Documentation

const arma::vec PolynomialSpace::basis_grad ( unsigned int  basis_index, const arma::vec &  point, unsigned int  comp_index = 0  ) const

overridevirtual

Gradient of the i th basis function at point point.

Parameters

basis_index	Index of the basis function.
point	Point coordinates.
comp_index	Index of component (>0 for vector-valued functions).

Implements FunctionSpace.

Definition at line 80 of file fe_p.cc.

const double PolynomialSpace::basis_value ( unsigned int  basis_index, const arma::vec &  point, unsigned int  comp_index = 0  ) const

overridevirtual

Value of the i th basis function at point point.

Parameters

basis_index	Index of the basis function.
point	Point coordinates.
comp_index	Index of component (>0 for vector-valued functions).

Implements FunctionSpace.

Definition at line 63 of file fe_p.cc.

const unsigned int PolynomialSpace::dim ( ) const

inlineoverridevirtual

Dimension of function space (number of basis functions).

Implements FunctionSpace.

Definition at line 56 of file fe_p.hh.

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Member Data Documentation

const unsigned int PolynomialSpace::degree_

private

Max. degree of polynomials.

Definition at line 61 of file fe_p.hh.

std::vector<arma::uvec> PolynomialSpace::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 69 of file fe_p.hh.

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

• /opt/flow123d/flow123d/src/fem/fe_p.hh
• /opt/flow123d/flow123d/src/fem/fe_p.cc