Finite-Element base class. More...

#include <element_base.hpp>

Inheritance diagram for FEAT::Space::ElementBase< Trafo_ >:

Classes
class	DofAssignment
	Dof-Assignment class wrapper template. More...

class	Evaluator
	Space evaluator class wrapper template. More...

class	NodeFunctional
	Node-Functional class wrapper template. More...

Public Types
typedef TrafoType::MeshType	MeshType
	mesh type More...

typedef TrafoType::ShapeType	ShapeType
	shape type More...

typedef Trafo_	TrafoType
	transformation type More...

Public Member Functions
MeshType &	get_mesh ()
	Returns a reference to the underlying mesh. More...

const MeshType &	get_mesh () const
	Returns a reference to the underlying mesh. More...

Index	get_num_dofs () const
	Returns the number of dofs. More...

TrafoType &	get_trafo ()
	Returns a reference to the trafo. More...

const TrafoType &	get_trafo () const
	Returns a reference to the trafo. More...

String	name () const
	Returns the name of the element.

bool	operator== (const ElementBase &other) const
	Comparison operator. More...

Public Attributes
typedef	DofMappingType
	Dof-Mapping class. More...

Static Public Attributes
static constexpr bool	have_node_func = false

static constexpr int	local_degree = ...
	Local Polynomial degree count. More...

static constexpr int	shape_dim = ShapeType::dimension
	shape dimension More...

static constexpr int	world_dim = MeshType::world_dim
	our image/world dimension More...

Protected Member Functions
	ElementBase (TrafoType &trafo)
	Constructor. More...

Protected Attributes
TrafoType &	_trafo
	transformation reference More...

Private Member Functions
	ElementBase (const ElementBase &)
	deleted copy-constructor

ElementBase &	operator= (const ElementBase &)
	deleted assignment-operator

Detailed Description

template<typename Trafo_>
class FEAT::Space::ElementBase< Trafo_ >

Finite-Element base class.

This class acts as a base class for Finite-Element container implementations.

Author: Peter Zajac

Definition at line 24 of file element_base.hpp.

Member Typedef Documentation

◆ MeshType

template<typename Trafo_ >

typedef TrafoType::MeshType FEAT::Space::ElementBase< Trafo_ >::MeshType

mesh type

Definition at line 30 of file element_base.hpp.

◆ ShapeType

template<typename Trafo_ >

typedef TrafoType::ShapeType FEAT::Space::ElementBase< Trafo_ >::ShapeType

shape type

Definition at line 32 of file element_base.hpp.

◆ TrafoType

template<typename Trafo_ >

typedef Trafo_ FEAT::Space::ElementBase< Trafo_ >::TrafoType

transformation type

Definition at line 28 of file element_base.hpp.

Constructor & Destructor Documentation

◆ ElementBase()

template<typename Trafo_ >

FEAT::Space::ElementBase< Trafo_ >::ElementBase ( TrafoType & trafo )

inlineexplicitprotected

Constructor.

Parameters

[in] trafo A resident reference to the transformation which is to be used by this space.

Note: This constructor is protected so that it can only be called from a derived class.

Definition at line 161 of file element_base.hpp.

Member Function Documentation

◆ get_mesh() [1/2]

template<typename Trafo_ >

MeshType & FEAT::Space::ElementBase< Trafo_ >::get_mesh ( )

inline

Returns a reference to the underlying mesh.

Returns: A (const) reference to the mesh used by this space.

Definition at line 190 of file element_base.hpp.

References FEAT::Space::ElementBase< Trafo_ >::get_trafo().

Referenced by FEAT::Space::Argyris::Element< Trafo_ >::get_num_dofs(), FEAT::Space::BognerFoxSchmit::Element< Trafo_ >::get_num_dofs(), FEAT::Space::CaiDouSanSheYe::Element< Trafo_ >::get_num_dofs(), FEAT::Space::CroRavRanTur::Element< Trafo_ >::get_num_dofs(), FEAT::Space::Discontinuous::Element< Trafo_, Variant_ >::get_num_dofs(), FEAT::Space::Hermite3::Element< Trafo_ >::get_num_dofs(), FEAT::Space::Lagrange1::Element< Trafo_ >::get_num_dofs(), and FEAT::Space::Q1TBNP::Element< Trafo_ >::get_num_dofs().

◆ get_mesh() [2/2]

template<typename Trafo_ >

const MeshType & FEAT::Space::ElementBase< Trafo_ >::get_mesh ( ) const

inline

Returns a reference to the underlying mesh.

Returns: A (const) reference to the mesh used by this space.

Definition at line 196 of file element_base.hpp.

References FEAT::Space::ElementBase< Trafo_ >::get_trafo().

◆ get_num_dofs()

template<typename Trafo_ >

Index FEAT::Space::ElementBase< Trafo_ >::get_num_dofs ( ) const

Returns the number of dofs.

Returns: The total number of global degrees of freedom for the patch.

◆ get_trafo() [1/2]

template<typename Trafo_ >

TrafoType & FEAT::Space::ElementBase< Trafo_ >::get_trafo ( )

inline

Returns a reference to the trafo.

Returns: A (const) reference to the transformation used by this space.

Definition at line 173 of file element_base.hpp.

References FEAT::Space::ElementBase< Trafo_ >::_trafo.

Referenced by FEAT::Assembly::SlipFilterAssembler< Trafo_ >::assemble(), FEAT::Space::ElementBase< Trafo_ >::get_mesh(), FEAT::Assembly::Lagrange1To2DofAtEntity< Trafo_, shape_dim_ >::recurse(), and FEAT::Assembly::Lagrange1To2DofAtEntity< Trafo_, 0 >::recurse().

◆ get_trafo() [2/2]

template<typename Trafo_ >

const TrafoType & FEAT::Space::ElementBase< Trafo_ >::get_trafo ( ) const

inline

Returns a reference to the trafo.

Returns: A (const) reference to the transformation used by this space.

Definition at line 179 of file element_base.hpp.

References FEAT::Space::ElementBase< Trafo_ >::_trafo.

◆ operator==()

template<typename Trafo_ >

bool FEAT::Space::ElementBase< Trafo_ >::operator== ( const ElementBase< Trafo_ > & other ) const

inline

Comparison operator.

This operator checks whether two element objects are equal.

Returns: true, if this this and other name the same object, otherwise false.

Definition at line 209 of file element_base.hpp.

Member Data Documentation

◆ _trafo

template<typename Trafo_ >

TrafoType& FEAT::Space::ElementBase< Trafo_ >::_trafo

protected

transformation reference

Definition at line 151 of file element_base.hpp.

Referenced by FEAT::Space::ElementBase< Trafo_ >::get_trafo().

◆ DofMappingType

template<typename Trafo_ >

typedef FEAT::Space::ElementBase< Trafo_ >::DofMappingType

Dof-Mapping class.

Definition at line 85 of file element_base.hpp.

◆ have_node_func

template<typename Trafo_ >

constexpr bool FEAT::Space::ElementBase< Trafo_ >::have_node_func = false

staticconstexpr

Definition at line 45 of file element_base.hpp.

◆ local_degree

template<typename Trafo_ >

constexpr int FEAT::Space::ElementBase< Trafo_ >::local_degree = ...

staticconstexpr

Local Polynomial degree count.

This constant describes the maximum local polynomial degree of the element. This may be used, e.g. for automated determination of appropriate cubature rules.

Please note that for Simplex elements, 'degree' refers to the P_k spaces, whereas for Hypercube elements, 'degree' refers to the Q_k spaces.

Definition at line 80 of file element_base.hpp.

◆ shape_dim

template<typename Trafo_ >

constexpr int FEAT::Space::ElementBase< Trafo_ >::shape_dim = ShapeType::dimension

staticconstexpr

shape dimension

Definition at line 35 of file element_base.hpp.

◆ world_dim

template<typename Trafo_ >

constexpr int FEAT::Space::ElementBase< Trafo_ >::world_dim = MeshType::world_dim

staticconstexpr

our image/world dimension

Definition at line 37 of file element_base.hpp.

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

kernel/space/element_base.hpp

Classes

Public Types

Public Member Functions

Public Attributes

Static Public Attributes

Protected Member Functions

Protected Attributes

Private Member Functions

Detailed Description

Member Typedef Documentation

◆ MeshType

◆ ShapeType

◆ TrafoType

Constructor & Destructor Documentation

◆ ElementBase()

Member Function Documentation

◆ get_mesh() [1/2]

◆ get_mesh() [2/2]

◆ get_num_dofs()

◆ get_trafo() [1/2]

◆ get_trafo() [2/2]

◆ operator==()

Member Data Documentation

◆ _trafo

◆ DofMappingType

◆ have_node_func

◆ local_degree

◆ shape_dim

◆ world_dim