GetFEM++
5.3
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virtual_fem implementation as a vector of generic functions. More...
#include <getfem_fem.h>
Inherits getfem::virtual_fem.
Public Member Functions | |
const std::vector< FUNC > & | base () const |
Gives the array of basic functions (components). | |
void | base_value (const base_node &x, base_tensor &t) const |
Evaluates at point x, all base functions and returns the result in t(nb_base,target_dim) | |
void | grad_base_value (const base_node &x, base_tensor &t) const |
Evaluates at point x, the gradient of all base functions w.r.t. More... | |
void | hess_base_value (const base_node &x, base_tensor &t) const |
Evaluates at point x, the hessian of all base functions w.r.t. More... | |
Public Member Functions inherited from getfem::virtual_fem | |
virtual size_type | nb_dof (size_type) const |
Number of degrees of freedom. More... | |
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. | |
virtual bgeot::pconvex_ref | ref_convex (size_type) const |
Return the convex of the reference element. | |
bgeot::pconvex_structure | basic_structure (size_type cv) const |
Gives the convex of the reference element. | |
virtual const bgeot::convex< base_node > & | node_convex (size_type) const |
Gives the convex representing the nodes on 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 | |
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... | |
virtual void | real_base_value (const fem_interpolation_context &c, base_tensor &t, bool withM=true) const |
Give the value of all components of the base functions at the current point of the fem_interpolation_context. More... | |
virtual void | real_grad_base_value (const fem_interpolation_context &c, base_tensor &t, bool withM=true) const |
Give the gradient of all components of the base functions at the current point of the fem_interpolation_context. More... | |
virtual void | real_hess_base_value (const fem_interpolation_context &c, base_tensor &t, bool withM=true) const |
Give the hessian of all components of the base functions at the current point of the fem_interpolation_context. 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... | |
virtual_fem implementation as a vector of generic functions.
The class FUNC should provide "derivative" and "eval" member functions (this is the case for bgeot::polynomial<T>).
Definition at line 500 of file getfem_fem.h.
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inlinevirtual |
Evaluates at point x, the gradient of all base functions w.r.t.
the reference element directions 0,..,dim-1 and returns the result in t(nb_base,target_dim,dim)
Implements getfem::virtual_fem.
Definition at line 559 of file getfem_fem.h.
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inlinevirtual |
Evaluates at point x, the hessian of all base functions w.r.t.
the reference element directions 0,..,dim-1 and returns the result in t(nb_base,target_dim,dim,dim)
Implements getfem::virtual_fem.
Definition at line 574 of file getfem_fem.h.