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Public Member Functions | Protected Attributes | List of all members
FEValuesBase< dim, spacedim > Class Template Reference

Base class for FEValues and FESideValues. More...

#include <fe_values.hh>

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Public Member Functions

 FEValuesBase ()
 Default constructor. More...
 
virtual ~FEValuesBase ()
 
void allocate (Mapping< dim, spacedim > &_mapping, Quadrature< dim > &_quadrature, FiniteElement< dim, spacedim > &_fe, UpdateFlags flags)
 Allocates space for computed data. More...
 
UpdateFlags update_each (UpdateFlags flags)
 Determine quantities to be recomputed on each cell. More...
 
double shape_value (const unsigned int function_no, const unsigned int point_no)
 Return the value of the function_no-th shape function at the point_no-th quadrature point. More...
 
arma::vec::fixed< spacedim > shape_grad (const unsigned int function_no, const unsigned int point_no)
 Return the gradient of the function_no-th shape function at the point_no-th quadrature point. More...
 
arma::vec::fixed< spacedim > shape_vector (const unsigned int function_no, const unsigned int point_no)
 Return the value of the function_no-th shape function at the point_no-th quadrature point. More...
 
arma::mat::fixed< spacedim, spacedim > shape_grad_vector (const unsigned int function_no, const unsigned int point_no)
 Return the gradient of the function_no-th shape function at the point_no-th quadrature point. More...
 
double determinant (const unsigned int point_no)
 Return the relative volume change of the cell (Jacobian determinant). More...
 
double JxW (const unsigned int point_no)
 Return the product of Jacobian determinant and the quadrature weight at given quadrature point. More...
 
arma::vec::fixed< spacedim > point (const unsigned int point_no)
 Return coordinates of the quadrature point in the actual cell system. More...
 
vector< arma::vec::fixed< spacedim > > & point_list ()
 Return coordinates of all quadrature points in the actual cell system. More...
 
arma::vec::fixed< spacedim > normal_vector (unsigned int point_no)
 Returns the normal vector to a side at given quadrature point. More...
 
unsigned int n_points ()
 Returns the number of quadrature points. More...
 
unsigned int n_dofs ()
 Returns the number of shape functions. More...
 
Quadrature< dim > * get_quadrature () const
 Returns the quadrature in use. More...
 
FiniteElement< dim, spacedim > * get_fe () const
 Returns the finite element in use. More...
 
Mapping< dim, spacedim > * get_mapping () const
 Returns the mapping in use. More...
 
- Public Member Functions inherited from FEValuesSpaceBase< spacedim >
virtual ~FEValuesSpaceBase ()
 

Protected Attributes

Mapping< dim, spacedim > * mapping
 The mapping from the reference cell to the actual cell. More...
 
Quadrature< dim > * quadrature
 The quadrature rule used to calculate integrals. More...
 
FiniteElement< dim, spacedim > * fe
 The used finite element. More...
 
MappingInternalDatamapping_data
 Precomputed mapping data. More...
 
FEInternalDatafe_data
 Precomputed finite element data. More...
 
FEValuesData< dim, spacedim > data
 Data computed by the mapping and finite element. More...
 

Detailed Description

template<unsigned int dim, unsigned int spacedim>
class FEValuesBase< dim, spacedim >

Base class for FEValues and FESideValues.

Definition at line 32 of file fe_values.hh.

Constructor & Destructor Documentation

template<unsigned int dim, unsigned int spacedim>
FEValuesBase< dim, spacedim >::FEValuesBase ( )

Default constructor.

Definition at line 95 of file fe_values.cc.

template<unsigned int dim, unsigned int spacedim>
FEValuesBase< dim, spacedim >::~FEValuesBase ( )
virtual

Correct deallocation of objects created by 'initialize' methods.

Definition at line 103 of file fe_values.cc.

Member Function Documentation

template<unsigned int dim, unsigned int spacedim>
void FEValuesBase< dim, spacedim >::allocate ( Mapping< dim, spacedim > &  _mapping,
Quadrature< dim > &  _quadrature,
FiniteElement< dim, spacedim > &  _fe,
UpdateFlags  flags 
)

Allocates space for computed data.

Parameters
_mappingThe mapping between reference and actual cell.
_quadratureThe quadrature rule.
_feThe finite element.
flagsThe update flags.

Definition at line 111 of file fe_values.cc.

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template<unsigned int dim, unsigned int spacedim>
double FEValuesBase< dim, spacedim >::determinant ( const unsigned int  point_no)
inline

Return the relative volume change of the cell (Jacobian determinant).

If dim==spacedim then the sign may be negative, otherwise the result is a positive number.

Parameters
point_noNumber of the quadrature point.

Definition at line 281 of file fe_values.hh.

template<unsigned int dim, unsigned int spacedim>
FiniteElement<dim,spacedim>* FEValuesBase< dim, spacedim >::get_fe ( ) const
inline

Returns the finite element in use.

Definition at line 355 of file fe_values.hh.

template<unsigned int dim, unsigned int spacedim>
Mapping<dim,spacedim>* FEValuesBase< dim, spacedim >::get_mapping ( ) const
inline

Returns the mapping in use.

Definition at line 363 of file fe_values.hh.

template<unsigned int dim, unsigned int spacedim>
Quadrature<dim>* FEValuesBase< dim, spacedim >::get_quadrature ( ) const
inline

Returns the quadrature in use.

Definition at line 347 of file fe_values.hh.

template<unsigned int dim, unsigned int spacedim>
double FEValuesBase< dim, spacedim >::JxW ( const unsigned int  point_no)
inlinevirtual

Return the product of Jacobian determinant and the quadrature weight at given quadrature point.

Parameters
point_noNumber of the quadrature point.

Implements FEValuesSpaceBase< spacedim >.

Definition at line 292 of file fe_values.hh.

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template<unsigned int dim, unsigned int spacedim>
unsigned int FEValuesBase< dim, spacedim >::n_dofs ( )
inlinevirtual

Returns the number of shape functions.

Implements FEValuesSpaceBase< spacedim >.

Definition at line 338 of file fe_values.hh.

template<unsigned int dim, unsigned int spacedim>
unsigned int FEValuesBase< dim, spacedim >::n_points ( )
inline

Returns the number of quadrature points.

Definition at line 330 of file fe_values.hh.

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template<unsigned int dim, unsigned int spacedim>
arma::vec::fixed<spacedim> FEValuesBase< dim, spacedim >::normal_vector ( unsigned int  point_no)
inlinevirtual

Returns the normal vector to a side at given quadrature point.

Parameters
point_noNumber of the quadrature point.

Implements FEValuesSpaceBase< spacedim >.

Definition at line 322 of file fe_values.hh.

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template<unsigned int dim, unsigned int spacedim>
arma::vec::fixed<spacedim> FEValuesBase< dim, spacedim >::point ( const unsigned int  point_no)
inline

Return coordinates of the quadrature point in the actual cell system.

Parameters
point_noNumber of the quadrature point.

Definition at line 302 of file fe_values.hh.

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template<unsigned int dim, unsigned int spacedim>
vector<arma::vec::fixed<spacedim> >& FEValuesBase< dim, spacedim >::point_list ( )
inline

Return coordinates of all quadrature points in the actual cell system.

Definition at line 311 of file fe_values.hh.

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template<unsigned int dim, unsigned int spacedim>
arma::vec::fixed<spacedim> FEValuesBase< dim, spacedim >::shape_grad ( const unsigned int  function_no,
const unsigned int  point_no 
)
inlinevirtual

Return the gradient of the function_no-th shape function at the point_no-th quadrature point.

Parameters
function_noNumber of the shape function.
point_noNumber of the quadrature point.

Implements FEValuesSpaceBase< spacedim >.

Definition at line 239 of file fe_values.hh.

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template<unsigned int dim, unsigned int spacedim>
arma::mat::fixed<spacedim,spacedim> FEValuesBase< dim, spacedim >::shape_grad_vector ( const unsigned int  function_no,
const unsigned int  point_no 
)
inline

Return the gradient of the function_no-th shape function at the point_no-th quadrature point.

For vectorial finite elements.

Parameters
function_noNumber of the shape function.
point_noNumber of the quadrature point.

Definition at line 268 of file fe_values.hh.

template<unsigned int dim, unsigned int spacedim>
double FEValuesBase< dim, spacedim >::shape_value ( const unsigned int  function_no,
const unsigned int  point_no 
)
inlinevirtual

Return the value of the function_no-th shape function at the point_no-th quadrature point.

Parameters
function_noNumber of the shape function.
point_noNumber of the quadrature point.

Implements FEValuesSpaceBase< spacedim >.

Definition at line 226 of file fe_values.hh.

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template<unsigned int dim, unsigned int spacedim>
arma::vec::fixed<spacedim> FEValuesBase< dim, spacedim >::shape_vector ( const unsigned int  function_no,
const unsigned int  point_no 
)
inline

Return the value of the function_no-th shape function at the point_no-th quadrature point.

For vectorial finite elements.

Parameters
function_noNumber of the shape function.
point_noNumber of the quadrature point.

Definition at line 254 of file fe_values.hh.

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template<unsigned int dim, unsigned int spacedim>
UpdateFlags FEValuesBase< dim, spacedim >::update_each ( UpdateFlags  flags)

Determine quantities to be recomputed on each cell.

Parameters
flagsFlags that indicate what has to be recomputed.

Definition at line 128 of file fe_values.cc.

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Member Data Documentation

template<unsigned int dim, unsigned int spacedim>
FEValuesData<dim,spacedim> FEValuesBase< dim, spacedim >::data
protected

Data computed by the mapping and finite element.

Definition at line 398 of file fe_values.hh.

template<unsigned int dim, unsigned int spacedim>
FiniteElement<dim,spacedim>* FEValuesBase< dim, spacedim >::fe
protected

The used finite element.

Definition at line 383 of file fe_values.hh.

template<unsigned int dim, unsigned int spacedim>
FEInternalData* FEValuesBase< dim, spacedim >::fe_data
protected

Precomputed finite element data.

Definition at line 393 of file fe_values.hh.

template<unsigned int dim, unsigned int spacedim>
Mapping<dim,spacedim>* FEValuesBase< dim, spacedim >::mapping
protected

The mapping from the reference cell to the actual cell.

Definition at line 373 of file fe_values.hh.

template<unsigned int dim, unsigned int spacedim>
MappingInternalData* FEValuesBase< dim, spacedim >::mapping_data
protected

Precomputed mapping data.

Definition at line 388 of file fe_values.hh.

template<unsigned int dim, unsigned int spacedim>
Quadrature<dim>* FEValuesBase< dim, spacedim >::quadrature
protected

The quadrature rule used to calculate integrals.

Definition at line 378 of file fe_values.hh.


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