specialization for Edges More...

#include <lagrange.h>

Inheritance diagram for ug::FlexLagrangeLSFS< ReferenceEdge >:

Public Member Functions
void	check_index (size_t i) const
	checks in debug mode that index is valid More...

void	check_multi_index (const MathVector< dim, int > &ind) const
	checks in debug mode that multi-index is valid More...

bool	continuous () const
	returns if space constructs continuous functions More...

	FlexLagrangeLSFS ()
	default Constructor More...

	FlexLagrangeLSFS (size_t order)
	Constructor. More...

void	grad (grad_type &g, size_t i, const MathVector< dim > &x) const
	evaluates the gradient of the shape function More...

size_t	index (const MathVector< dim, int > &ind) const
	return the index for a multi_index More...

size_t	mapped_index (const MathVector< dim, int > &ind) const
	return the index for a multi_index More...

MathVector< dim, int >	mapped_multi_index (size_t i) const
	return Multi index for index i More...

const MathVector< dim, int > &	multi_index (size_t i) const
	return Multi index for index i More...

size_t	num_sh () const

bool	position (size_t i, MathVector< dim > &pos) const
	local position of DoF i More...

void	set_order (size_t order)
	sets the order More...

shape_type	shape (size_t i, const MathVector< dim > &x) const
	evaluates the shape function More...

Public Member Functions inherited from ug::LagrangeLDS< ReferenceEdge >
bool	exact_position_available () const
	returns if the local dof position are exact More...

	LagrangeLDS (size_t order=1)
	constructor More...

const LocalDoF &	local_dof (size_t dof) const
	returns the dof storage More...

size_t	num_dof () const
	returns the total number of DoFs on the finite element More...

size_t	num_dof (ReferenceObjectID roid) const
	returns the number of DoFs on a sub-geometric object type More...

ReferenceObjectID	roid () const
	returns the type of reference element More...

void	set_order (size_t order)
	sets the order More...

Public Member Functions inherited from ug::LocalDoFSet
int	dim () const
	returns the reference dimension More...

size_t	num_dof (int d, size_t id) const
	returns the number of DoFs on a sub-geometric object of dim and id More...

bool	operator!= (const LocalDoFSet &v) const
	inequality check More...

bool	operator== (const LocalDoFSet &v) const
	equality check More...

virtual	~LocalDoFSet ()
	virtual destructor More...

size_t	num_dof () const

Public Member Functions inherited from ug::BaseLSFS< FlexLagrangeLSFS< ReferenceEdge >, 1 >
void	grad (grad_type &g, size_t i, const MathVector< dim > &x) const
	evaluates the gradient of the shape function More...

void	grads (grad_type *vGrad, const MathVector< dim > &x) const
	returns all gradients evaluated at a point More...

void	grads (std::vector< grad_type > &vGrad, const MathVector< dim > &x) const
	returns all gradients evaluated at a point More...

void	grads (std::vector< std::vector< grad_type > > &vvGrad, const std::vector< MathVector< dim > > &vLocPos) const
	returns all gradients evaluated at a point More...

void	shape (shape_type &sh, size_t i, const MathVector< dim > &x) const
	evaluates the shape function More...

shape_type	shape (size_t i, const MathVector< dim > &x) const
	evaluates the shape function More...

void	shapes (shape_type *vShape, const MathVector< dim > &x) const
	returns all shape functions evaluated at a point More...

void	shapes (std::vector< shape_type > &vShape, const MathVector< dim > &x) const
	returns all shape functions evaluated at a point More...

void	shapes (std::vector< std::vector< shape_type > > &vvShape, const std::vector< MathVector< dim > > &vLocPos) const
	returns all shape functions evaluated at a point More...

Static Public Attributes
static const int	dim = ReferenceEdge::dim
	Dimension, where shape functions are defined. More...

Static Public Attributes inherited from ug::BaseLSFS< FlexLagrangeLSFS< ReferenceEdge >, 1 >
static const int	dim
	dimension of reference element More...

Protected Attributes
std::vector< Polynomial1D >	m_vDPolynom
	Derivative of Shape Polynomial. More...

std::vector< MathVector< dim, int > >	m_vMultiIndex

std::vector< Polynomial1D >	m_vPolynom
	Shape Polynomials. More...

size_t	nsh
	Number of shape functions. More...

size_t	p
	order More...

Protected Attributes inherited from ug::LagrangeLDS< ReferenceEdge >
std::vector< LocalDoF >	m_vLocalDoF
	association to geom obj More...

size_t	p
	order More...

Additional Inherited Members
Public Types inherited from ug::BaseLSFS< FlexLagrangeLSFS< ReferenceEdge >, 1 >
typedef MathVector< TDim >	grad_type
	Gradient type. More...

typedef FlexLagrangeLSFS< ReferenceEdge >	ImplType
	type of implementation More...

typedef number	shape_type
	Shape type. More...

Protected Member Functions inherited from ug::BaseLSFS< FlexLagrangeLSFS< ReferenceEdge >, 1 >
ImplType &	getImpl ()
	access to implementation More...

const ImplType &	getImpl () const
	const access to implementation More...

Detailed Description

specialization for Edges

Lagrange shape function of any order for the Reference Edge

Constructor & Destructor Documentation

◆ FlexLagrangeLSFS() [1/2]

ug::FlexLagrangeLSFS< ReferenceEdge >::FlexLagrangeLSFS ( )

inline

default Constructor

◆ FlexLagrangeLSFS() [2/2]

ug::FlexLagrangeLSFS< ReferenceEdge >::FlexLagrangeLSFS ( size_t order )

inline

Constructor.

Member Function Documentation

◆ check_index()

void ug::FlexLagrangeLSFS< ReferenceEdge >::check_index ( size_t i ) const

inline

checks in debug mode that index is valid

References UG_ASSERT.

◆ check_multi_index()

void ug::FlexLagrangeLSFS< ReferenceEdge >::check_multi_index ( const MathVector< dim, int > & ind ) const

inline

checks in debug mode that multi-index is valid

References UG_ASSERT.

◆ continuous()

bool ug::FlexLagrangeLSFS< ReferenceEdge >::continuous ( ) const

inline

returns if space constructs continuous functions

◆ grad()

void ug::FlexLagrangeLSFS< ReferenceEdge >::grad	(	grad_type &	g,
		size_t	i,
		const MathVector< dim > &	x
	)		const

inline

evaluates the gradient of the shape function

This function returns the gradient of Shape Function i at an element-local evaluation point.

Parameters

[in]	i	number of DoF
[in]	x	Position on reference element (evaluation point)

Returns: gradient at point

◆ index()

size_t ug::FlexLagrangeLSFS< ReferenceEdge >::index ( const MathVector< dim, int > & ind ) const

inline

return the index for a multi_index

References UG_THROW.

Referenced by ug::ComputeMultiIndicesOfSubElement< 1 >().

◆ mapped_index()

size_t ug::FlexLagrangeLSFS< ReferenceEdge >::mapped_index ( const MathVector< dim, int > & ind ) const

inline

return the index for a multi_index

◆ mapped_multi_index()

MathVector<dim,int> ug::FlexLagrangeLSFS< ReferenceEdge >::mapped_multi_index ( size_t i ) const

inline

return Multi index for index i

◆ multi_index()

const MathVector<dim,int>& ug::FlexLagrangeLSFS< ReferenceEdge >::multi_index ( size_t i ) const

inline

return Multi index for index i

◆ num_sh()

size_t ug::FlexLagrangeLSFS< ReferenceEdge >::num_sh ( ) const

inlinevirtual

returns the total number of dofs on the finite element

Reimplemented from ug::LocalDoFSet.

◆ position()

bool ug::FlexLagrangeLSFS< ReferenceEdge >::position	(	size_t	i,
		MathVector< dim > &	pos
	)		const

inline

local position of DoF i

This function returns the local position of a DoF if possible.

Parameters

[in]	i	number of DoF
[out]	pos	Position of DoF

Return values

true	if position exists
false	if no meaningful position available

References p, and ug::EquidistantLagrange1D::position().

◆ set_order()

void ug::FlexLagrangeLSFS< ReferenceEdge >::set_order ( size_t order )

sets the order

References ug::Provider< TClass >::get(), p, ug::LagrangeLDS< TRefElem >::set_order(), and ug::SetLagrangeMultiIndex().

◆ shape()

shape_type ug::FlexLagrangeLSFS< ReferenceEdge >::shape	(	size_t	i,
		const MathVector< dim > &	x
	)		const

inline

evaluates the shape function

This function returns the value of Shape Function i at an element-local evaluation point.

Parameters

[in]	i	number of DoF
[in]	x	Position on reference element (evaluation point)

Returns: shape function value at point

Member Data Documentation

◆ dim

const int ug::FlexLagrangeLSFS< ReferenceEdge >::dim = ReferenceEdge::dim

static

Dimension, where shape functions are defined.

◆ m_vDPolynom

std::vector<Polynomial1D> ug::FlexLagrangeLSFS< ReferenceEdge >::m_vDPolynom

protected

Derivative of Shape Polynomial.

◆ m_vMultiIndex

std::vector<MathVector<dim,int> > ug::FlexLagrangeLSFS< ReferenceEdge >::m_vMultiIndex

protected

◆ m_vPolynom

std::vector<Polynomial1D> ug::FlexLagrangeLSFS< ReferenceEdge >::m_vPolynom

protected

Shape Polynomials.

◆ nsh

size_t ug::FlexLagrangeLSFS< ReferenceEdge >::nsh

protected

Number of shape functions.

◆ p

size_t ug::FlexLagrangeLSFS< ReferenceEdge >::p

protected

order

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

ugbase/lib_disc/local_finite_element/lagrange/lagrange.h
ugbase/lib_disc/local_finite_element/lagrange/lagrange.cpp

Public Member Functions

Static Public Attributes

Protected Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ FlexLagrangeLSFS() [1/2]

◆ FlexLagrangeLSFS() [2/2]

Member Function Documentation

◆ check_index()

◆ check_multi_index()

◆ continuous()

◆ grad()

◆ index()

◆ mapped_index()

◆ mapped_multi_index()

◆ multi_index()

◆ num_sh()

◆ position()

◆ set_order()

◆ shape()

Member Data Documentation

◆ dim

◆ m_vDPolynom

◆ m_vMultiIndex

◆ m_vPolynom

◆ nsh

◆ p