FunctionSpace Class Reference

#include <finite_element.hh>

Inheritance diagram for FunctionSpace:

Public Member Functions
	FunctionSpace (unsigned int space_dim, unsigned int n_components)
virtual const double	basis_value (unsigned int basis_index, const arma::vec &point, unsigned int comp_index=0) const =0
	Value of the i th basis function at point point. More...
virtual const arma::vec	basis_grad (unsigned int basis_index, const arma::vec &point, unsigned int comp_index=0) const =0
	Gradient of the i th basis function at point point. More...
virtual const unsigned int	dim () const =0
	Dimension of function space (number of basis functions). More...
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 ()

Protected Attributes
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

FunctionSpace is an abstract class that is used to describe finite elements. It is determined by the dimension of the field of definition (space_dim_), by the dimension of the range (n_components_) and by the values and gradients of a basis functions.

Combining FunctionSpace with Dof(s), the FiniteElement class constructs the shape functions, i.e. basis of FunctionSpace for which the Dof(s) attain the value 0 or 1.

Definition at line 126 of file finite_element.hh.

Constructor & Destructor Documentation

FunctionSpace::FunctionSpace ( unsigned int  space_dim, unsigned int  n_components  )

inline

Definition at line 129 of file finite_element.hh.

virtual FunctionSpace::~FunctionSpace ( )

inlinevirtual

Definition at line 168 of file finite_element.hh.

Member Function Documentation

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

pure virtual

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).

Implemented in FESystemFunctionSpace, PolynomialSpace, and RT0_space.

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

pure virtual

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).

Implemented in FESystemFunctionSpace, PolynomialSpace, and RT0_space.

virtual const unsigned int FunctionSpace::dim ( ) const

pure virtual

Dimension of function space (number of basis functions).

Implemented in FESystemFunctionSpace, PolynomialSpace, and RT0_space.

const unsigned int FunctionSpace::n_components ( ) const

inline

Getter for number of components.

Definition at line 166 of file finite_element.hh.

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const unsigned int FunctionSpace::space_dim ( ) const

inline

Getter for space dimension.

Definition at line 163 of file finite_element.hh.

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Member Data Documentation

unsigned int FunctionSpace::n_components_

protected

Number of components of function values.

Definition at line 176 of file finite_element.hh.

unsigned int FunctionSpace::space_dim_

protected

Space dimension of function arguments (i.e. 1, 2 or 3).

Definition at line 173 of file finite_element.hh.

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

• /opt/flow123d/flow123d/src/fem/finite_element.hh