FEM which interpolates the projection of a mesh_fem on a different mesh. More...

#include <getfem_projected_fem.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...

dal::bit_vector	projected_convexes () const
	return the list of convexes of the projected mesh_fem which contain at least one gauss point (should be all convexes)!

mesh_region	projected_target_region () const
	faces and convexes from the target region that contain at least one Gauss point that is projected by the source

void	gauss_pts_stats (unsigned &ming, unsigned &maxg, scalar_type &meang) const
	return the min/max/mean number of gauss points in the convexes of the projected mesh_fem

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

Detailed Description

FEM which interpolates the projection of a mesh_fem on a different mesh.

Note that the memory cost of this method is extremely high!

Definition at line 70 of file getfem_projected_fem.h.

Member Function Documentation

◆ update_from_context()

void getfem::projected_fem::update_from_context ( void ) 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 322 of file getfem_projected_fem.cc.

◆ nb_dof()

size_type getfem::projected_fem::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 483 of file getfem_projected_fem.cc.

◆ base_value()

void getfem::projected_fem::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 513 of file getfem_projected_fem.cc.

◆ grad_base_value()

void getfem::projected_fem::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 515 of file getfem_projected_fem.cc.

◆ hess_base_value()

void getfem::projected_fem::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 518 of file getfem_projected_fem.cc.

◆ real_base_value()

void getfem::projected_fem::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 533 of file getfem_projected_fem.cc.

◆ real_grad_base_value()

void getfem::projected_fem::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 627 of file getfem_projected_fem.cc.

◆ real_hess_base_value()

void getfem::projected_fem::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 726 of file getfem_projected_fem.cc.

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

src/getfem/getfem_projected_fem.h
src/getfem_projected_fem.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()