GetFEM++  5.2
Finite element description

Classes

class  getfem::virtual_fem
 Base class for finite element description. More...
 
class  getfem::fem< FUNC >
 virtual_fem implementation as a vector of generic functions. More...
 
class  getfem::fem_precomp_
 Pre-computations on a fem (given a fixed set of points on the reference convex, this object computes the value/gradient/hessian of all base functions on this set of points and stores them. More...
 
class  getfem::fem_precomp_pool
 handle a pool (i.e. More...
 
class  getfem::fem_interpolation_context
 structure passed as the argument of fem interpolation functions. More...
 

Typedefs

typedef std::shared_ptr< const
getfem::virtual_fem
getfem::pfem
 type of pointer on a fem description More...
 
typedef const fem
< bgeot::base_poly > * 
getfem::ppolyfem
 Classical polynomial FEM. More...
 
typedef const fem
< bgeot::polynomial_composite > * 
getfem::ppolycompfem
 Polynomial composite FEM.
 
typedef const fem
< bgeot::base_rational_fraction > * 
getfem::prationalfracfem
 Rational fration FEM.
 

Functions

pfem getfem::classical_fem (bgeot::pgeometric_trans pgt, short_type k)
 Give a pointer on the structures describing the classical polynomial fem of degree k on a given convex type. More...
 
pfem getfem::classical_discontinuous_fem (bgeot::pgeometric_trans pg, short_type k, scalar_type alpha=0)
 Give a pointer on the structures describing the classical polynomial discontinuous fem of degree k on a given convex type. More...
 
pfem getfem::fem_descriptor (const std::string &name)
 get a fem descriptor from its string name. More...
 
std::string getfem::name_of_fem (pfem p)
 get the string name of a fem descriptor. More...
 
pfem_precomp getfem::fem_precomp (pfem pf, bgeot::pstored_point_tab pspt, dal::pstatic_stored_object dep)
 Handles precomputations for FEM. More...
 
void getfem::delete_fem_precomp (pfem_precomp pfp)
 Request for the removal of a pfem_precomp.
 
template<typename CVEC , typename VVEC >
void getfem::virtual_fem::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 getfem::virtual_fem::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 getfem::virtual_fem::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 getfem::virtual_fem::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 getfem::virtual_fem::interpolation_diverg (const fem_interpolation_context &c, const CVEC &coeff, typename gmm::linalg_traits< CVEC >::value_type &val) const
 Interpolation of the divergence. More...
 

Detailed Description

Typedef Documentation

typedef std::shared_ptr<const getfem::virtual_fem> getfem::pfem

type of pointer on a fem description

See also
getfem::virtual_fem

Definition at line 224 of file getfem_fem.h.

typedef const fem<bgeot::base_poly>* getfem::ppolyfem

Classical polynomial FEM.

Definition at line 569 of file getfem_fem.h.

Function Documentation

pfem getfem::classical_fem ( bgeot::pgeometric_trans  pgt,
short_type  k 
)

Give a pointer on the structures describing the classical polynomial fem of degree k on a given convex type.

Parameters
pgtthe geometric transformation (which defines the convex type).
kthe degree of the fem.
Returns
a ppolyfem.

Definition at line 3593 of file getfem_fem.cc.

pfem getfem::classical_discontinuous_fem ( bgeot::pgeometric_trans  pg,
short_type  k,
scalar_type  alpha = 0 
)

Give a pointer on the structures describing the classical polynomial discontinuous fem of degree k on a given convex type.

Parameters
pgtthe geometric transformation (which defines the convex type).
kthe degree of the fem.
alphathe "inset" factor for the dof nodes: with alpha = 0, the nodes are located as usual (i.e. with node on the convex border), and for 0 < alpha < 1, they converge to the center of gravity of the convex.
Returns
a ppolyfem.

Definition at line 3597 of file getfem_fem.cc.

pfem getfem::fem_descriptor ( const std::string &  name)

get a fem descriptor from its string name.

Definition at line 3665 of file getfem_fem.cc.

std::string getfem::name_of_fem ( pfem  p)

get the string name of a fem descriptor.

Definition at line 3674 of file getfem_fem.cc.

pfem_precomp getfem::fem_precomp ( pfem  pf,
bgeot::pstored_point_tab  pspt,
dal::pstatic_stored_object  dep 
)

Handles precomputations for FEM.

statically allocates a fem-precomputation object, and returns a pointer to it. The fem_precomp_ objects are "cached", i.e. they are stored in a global pool and if this function is called two times with the same arguments, a pointer to the same object will be returned.

Parameters
pfa pointer to the fem object.
pspta pointer to a list of points in the reference convex.CAUTION: this array must not be destroyed as long as the fem_precomp is used!!.

Moreover pspt is supposed to identify uniquely the set of points. This means that you should NOT alter its content at any time after using this function.

If you need a set of "temporary" getfem::fem_precomp_, create them via a getfem::fem_precomp_pool structure. All memory will be freed when this structure will be destroyed.

Definition at line 3766 of file getfem_fem.cc.

template<typename CVEC , typename VVEC >
void getfem::virtual_fem::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.

Parameters
cthe fem_interpolation_context, should have been suitably initialized for the point of evaluation.
coeffis the vector of coefficient relatively to the base functions, its length should be Qdim*this->nb_dof().
valcontains the interpolated value, on output (its size should be Qdim*this->target_dim()).
Qdimis the optional Q dimension, if the FEM is considered as a "vectorized" one.

Definition at line 816 of file getfem_fem.h.

template<typename MAT >
void getfem::virtual_fem::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.

The matrix M is filled, such that for a given coeff vector, the interpolation is given by M*coeff.

Definition at line 838 of file getfem_fem.h.

template<typename CVEC , typename VMAT >
void getfem::virtual_fem::interpolation_grad ( const fem_interpolation_context c,
const CVEC &  coeff,
VMAT &  val,
dim_type  Qdim = 1 
) const

Interpolation of the gradient.

The output is stored in the $ Q\times N$ matrix val.

Definition at line 860 of file getfem_fem.h.

template<typename CVEC , typename VMAT >
void getfem::virtual_fem::interpolation_hess ( const fem_interpolation_context c,
const CVEC &  coeff,
VMAT &  val,
dim_type  Qdim 
) const

Interpolation of the hessian.

The output is stored in the $ Q\times (N^2)$ matrix val.

Definition at line 887 of file getfem_fem.h.

template<typename CVEC >
void getfem::virtual_fem::interpolation_diverg ( const fem_interpolation_context c,
const CVEC &  coeff,
typename gmm::linalg_traits< CVEC >::value_type &  val 
) const

Interpolation of the divergence.

The output is stored in the scalar val.

Definition at line 915 of file getfem_fem.h.