GetFEM  5.4.2
getfem::fem_global_function Class Reference

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
cvthe 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: