idealii::spacetime::DG_FiniteElement< dim > Class Template Reference

A class for dG elements in time and arbitrary elements in space. More...

#include <fe_dg.hh>

Public Types
enum	support_type { Legendre , Lobatto , RadauLeft , RadauRight }
	Choice of underlying temporal support points. More...

Public Member Functions
	DG_FiniteElement (std::shared_ptr< dealii::FiniteElement< dim >> fe_space, const unsigned int r, support_type type=support_type::Lobatto)
	Constructor for the finite element class.
std::shared_ptr< dealii::FiniteElement< dim > >	spatial ()
	The underlying spatial finite element. More...
std::shared_ptr< dealii::FiniteElement< 1 > >	temporal ()
	The underlying temporal finite element. More...
support_type	type ()
	The support_type used for construction. More...

Public Attributes
const unsigned int	dofs_per_cell
	The number of degrees of freedom per space-time element. More...

Detailed Description

template<int dim>
class idealii::spacetime::DG_FiniteElement< dim >

A class for dG elements in time and arbitrary elements in space.

This class implements a tensor product finite element of a discontinuous Galerkin temporal element and a user supplied spatial element. For the temporal element both GaussLegendre and GaussLobatto support points can be chosen

Member Enumeration Documentation

support_type

template<int dim>

enum idealii::spacetime::DG_FiniteElement::support_type

Choice of underlying temporal support points.

Allows the choice between GaussLobatto and GaussLegendre support points for the dG(r) elements in time.

The choice of Lobatto results in 1D dG elements as defined in FE_DGQ.

The choice of Legendre leads to dG elements without support points on the interval/element edges. This might lead to better convergence, but the resulting off-diagonal sparsity pattern will be larger as jump terms then depend on all temporal dofs.

For r=0 the resulting element always uses the interval midpoint.

Enumerator
Legendre	Support points based on QGauss<1>
Lobatto	for dG(r), r>0: Support points based on QGaussLobatto<1>
RadauLeft	Support points based on left QGaussRadau<1>
RadauRight	Support points based on right QGaussRadau<1>

Member Function Documentation

spatial()

template<int dim>

std::shared_ptr<dealii::FiniteElement<dim> > idealii::spacetime::DG_FiniteElement< dim >::spatial

(

)

The underlying spatial finite element.

Returns

A shared pointer to the underlying finite element object.

temporal()

template<int dim>

std::shared_ptr<dealii::FiniteElement<1> > idealii::spacetime::DG_FiniteElement< dim >::temporal

(

)

The underlying temporal finite element.

Returns

A shared pointer to the underlying finite element object.

type()

template<int dim>

support_type idealii::spacetime::DG_FiniteElement< dim >::type

(

)

The support_type used for construction.

This function is mostly used internally. One example would be the construction of the upstream and downstream sparsity patterns, which include off diagonals for jump terms.

Returns

The underlying support_type

Member Data Documentation

dofs_per_cell

template<int dim>

const unsigned int idealii::spacetime::DG_FiniteElement< dim >::dofs_per_cell

The number of degrees of freedom per space-time element.

In practice this is simply (r+1) times the number of DoFs per spatial element.

Returns

temporal()->dofs_per_cell * spatial()->dofs_per_cell

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

• /home/runner/work/idealii/idealii/include/ideal.II/fe/fe_dg.hh