#include <fe_rt.hh>

Inheritance diagram for RT0_space:

Collaboration diagram for RT0_space:

Public Member Functions
	RT0_space (unsigned int dim)

double	basis_value (unsigned int basis_index, const arma::vec &point, unsigned int comp_index) 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) const override
	Gradient of the `i` th basis function at point `point`. More...

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)

unsigned int	space_dim () const
	Getter for space dimension. More...

unsigned int	n_components () const
	Getter for number of components. More...

virtual	~FunctionSpace ()

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 Raviart-Thomas polynomials of order 0 (affine functions). The basis functions are defined as

x, x - e_1, ..., x - e_d,

where x is the space variable, e_i is the i-th canonical basis vector in R^d and d is space_dim_.

Definition at line 34 of file fe_rt.hh.

Constructor & Destructor Documentation

RT0_space::RT0_space ( unsigned int dim )

Definition at line 27 of file fe_rt.cc.

const arma::vec RT0_space::basis_grad	(	unsigned int	basis_index,
		const arma::vec &	point,
		unsigned int	comp_index
	)		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).

Definition at line 46 of file fe_rt.cc.

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).

Definition at line 32 of file fe_rt.cc.

unsigned int RT0_space::dim ( ) const

inlineoverridevirtual

Dimension of function space (number of basis functions).

Definition at line 49 of file fe_rt.hh.

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