fem object with global basis functions. More...

#include <getfem_fem_global_function.h>

Inherits getfem::virtual_fem, and getfem::context_dependencies.

Public Member Functions
virtual size_type	nb_dof (size_type cv) const
	Number of degrees of freedom. More...

virtual bgeot::pconvex_ref	ref_convex (size_type cv) const
	Return the convex of the reference element.

virtual const bgeot::convex< base_node > &	node_convex (size_type cv) const
	Gives the convex representing the nodes on the reference element.

void	base_value (const base_node &, base_tensor &) const
	Give the value of all components of the base functions at the point x of the reference element. More...

void	grad_base_value (const base_node &, base_tensor &) const
	Give the value of all gradients (on ref. More...

void	hess_base_value (const base_node &, base_tensor &) const
	Give the value of all hessians (on ref. More...

void	real_base_value (const fem_interpolation_context &c, base_tensor &t, bool=true) const
	Give the value of all components of the base functions at the current point of the fem_interpolation_context. More...

void	real_grad_base_value (const fem_interpolation_context &c, base_tensor &t, bool=true) const
	Give the gradient of all components of the base functions at the current point of the fem_interpolation_context. More...

void	real_hess_base_value (const fem_interpolation_context &, base_tensor &, bool=true) const
	Give the hessian of all components of the base functions at the current point of the fem_interpolation_context. More...

Public Member Functions inherited from getfem::virtual_fem
virtual size_type	nb_base (size_type cv) const
	Number of basis functions.

size_type	nb_base_components (size_type cv) const
	Number of components (nb_dof() * dimension of the target space).

const std::vector< pdof_description > &	dof_types () const
	Get the array of pointer on dof description.

dim_type	dim () const
	dimension of the reference element.

dim_type	target_dim () const
	dimension of the target space.

vec_type	vectorial_type () const
	Type of vectorial element.

bgeot::pconvex_structure	basic_structure (size_type cv) const
	Gives the convex of the reference element.

bgeot::pconvex_structure	structure (size_type cv) const
	Gives the convex structure of the reference element nodes.

const base_node &	node_of_dof (size_type cv, size_type i) const
	Gives the node corresponding to the dof i. More...

bool	is_lagrange () const
	true if the base functions are such that $\varphi_i(\textrm{node\_of\_dof(j)}) = \delta_{ij}$

bool	is_polynomial () const
	true if the base functions are polynomials

template<typename CVEC , typename VVEC >
void	interpolation (const fem_interpolation_context &c, const CVEC &coeff, VVEC &val, dim_type Qdim) const
	Interpolate at an arbitrary point x given on the reference element. More...

template<typename MAT >
void	interpolation (const fem_interpolation_context &c, MAT &M, dim_type Qdim) const
	Build the interpolation matrix for the interpolation at a fixed point x, given on the reference element. More...

template<typename CVEC , typename VMAT >
void	interpolation_grad (const fem_interpolation_context &c, const CVEC &coeff, VMAT &val, dim_type Qdim=1) const
	Interpolation of the gradient. More...

template<typename CVEC , typename VMAT >
void	interpolation_hess (const fem_interpolation_context &c, const CVEC &coeff, VMAT &val, dim_type Qdim) const
	Interpolation of the hessian. More...

template<typename CVEC >
void	interpolation_diverg (const fem_interpolation_context &c, const CVEC &coeff, typename gmm::linalg_traits< CVEC >::value_type &val) const
	Interpolation of the divergence. More...

void	add_node (const pdof_description &d, const base_node &pt, const dal::bit_vector &faces)
	internal function adding a node to an element for the creation of a finite element method. More...

Public Member Functions inherited from getfem::context_dependencies
bool	context_check () const
	return true if update_from_context was called

Protected Member Functions
virtual void	update_from_context () const
	this function has to be defined and should update the object when the context is modified. More...

Detailed Description

fem object with global basis functions.

Definition at line 48 of file getfem_fem_global_function.h.

Member Function Documentation

◆ update_from_context()

void getfem::fem_global_function::update_from_context ( ) const

protectedvirtual

this function has to be defined and should update the object when the context is modified.

setup global dofs, with dummy coordinates

Implements getfem::context_dependencies.

Definition at line 69 of file getfem_fem_global_function.cc.

◆ nb_dof()

size_type getfem::fem_global_function::nb_dof ( size_type ) const

virtual

Number of degrees of freedom.

Parameters

cv	the convex number for this FEM. This information is rarely used, but is needed by some "special" FEMs, such as getfem::interpolated_fem.

Reimplemented from getfem::virtual_fem.

Definition at line 144 of file getfem_fem_global_function.cc.

◆ base_value()

void getfem::fem_global_function::base_value	(	const base_node &	x,
		base_tensor &	t
	)		const

virtual

Give the value of all components of the base functions at the point x of the reference element.

Basic function used essentially by fem_precomp.

Implements getfem::virtual_fem.

Definition at line 175 of file getfem_fem_global_function.cc.

◆ grad_base_value()

void getfem::fem_global_function::grad_base_value	(	const base_node &	x,
		base_tensor &	t
	)		const

virtual

Give the value of all gradients (on ref.

element) of the components of the base functions at the point x of the reference element. Basic function used essentially by fem_precomp.

Implements getfem::virtual_fem.

Definition at line 177 of file getfem_fem_global_function.cc.

◆ hess_base_value()

void getfem::fem_global_function::hess_base_value	(	const base_node &	x,
		base_tensor &	t
	)		const

virtual

Give the value of all hessians (on ref.

element) of the components of the base functions at the point x of the reference element. Basic function used essentially by fem_precomp.

Implements getfem::virtual_fem.

Definition at line 180 of file getfem_fem_global_function.cc.

◆ real_base_value()

void getfem::fem_global_function::real_base_value	(	const fem_interpolation_context &	c,
		base_tensor &	t,
		bool	withM = `true`
	)		const

virtual

Give the value of all components of the base functions at the current point of the fem_interpolation_context.

Used by elementary computations. if withM is false the matrix M for non tau-equivalent elements is not taken into account.

Reimplemented from getfem::virtual_fem.

Definition at line 184 of file getfem_fem_global_function.cc.

◆ real_grad_base_value()

void getfem::fem_global_function::real_grad_base_value	(	const fem_interpolation_context &	c,
		base_tensor &	t,
		bool	withM = `true`
	)		const

virtual

Give the gradient of all components of the base functions at the current point of the fem_interpolation_context.

Used by elementary computations. if withM is false the matrix M for non tau-equivalent elements is not taken into account.

Reimplemented from getfem::virtual_fem.

Definition at line 226 of file getfem_fem_global_function.cc.

◆ real_hess_base_value()

void getfem::fem_global_function::real_hess_base_value	(	const fem_interpolation_context &	c,
		base_tensor &	t,
		bool	withM = `true`
	)		const

virtual

Give the hessian of all components of the base functions at the current point of the fem_interpolation_context.

Used by elementary computations. if withM is false the matrix M for non tau-equivalent elements is not taken into account.

Reimplemented from getfem::virtual_fem.

Definition at line 264 of file getfem_fem_global_function.cc.

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

src/getfem/getfem_fem_global_function.h
src/getfem_fem_global_function.cc

Public Member Functions

Protected Member Functions

Detailed Description

Member Function Documentation

◆ update_from_context()

◆ nb_dof()

◆ base_value()

◆ grad_base_value()

◆ hess_base_value()

◆ real_base_value()

◆ real_grad_base_value()

◆ real_hess_base_value()