Evaluates jump contributions at interior faces, suitable for discontinuous Galerkin methods (optional). More...

#include <variationalfunctional.hh>

Detailed Description

Evaluates jump contributions at interior faces, suitable for discontinuous Galerkin methods (optional).

If this structure is defined, the assembler does assemble jump terms

\[ \int_F g(u^{\rm left},u^{\rm right})\,ds \]

at interior faces \( F \) of the grid. If no InnerBoundaryCache class is defined, the assembler ignores these integrals.

Definition at line 259 of file variationalfunctional.hh.

Public Member Functions
template<class FaceIterator >
void	moveTo (FaceIterator const &)

template<class Position , class Evaluators >
void	evaluateAt (Position const &x, Evaluators const &evaluators, Evaluators const &neighbourEvaluators)
	Prepare the cache for evaluation at given quadrature point. More...

Scalar	d0 () const
	Returns the value \(g(0)\). More...

template<int row, int dim>
Dune::FieldVector< Scalar, TestVars::template Components< row >::m >	d1 (VariationalArg< Scalar, dim > const &argT) const

template<int row, int col, int dim>
Dune::FieldMatrix< Scalar, TestVars::::template Components< row >::m, AnsatzVars::::template Components< row >::m >	d2 (VariationalArg< Scalar, dim > const &argT, VariationalArg< Scalar, dim > const &argA, bool centerCell) const

Member Function Documentation

◆ d0()

Scalar VariationalFunctional::InnerBoundaryCache::d0 ( ) const

Returns the value \(g(0)\).

◆ d1()

template<int row, int dim>

Dune::FieldVector< Scalar, TestVars::template Components< row >::m > VariationalFunctional::InnerBoundaryCache::d1 ( VariationalArg< Scalar, dim > const & argT ) const

Returns the directional derivative of \(g\) at \( 0 \), with respect to the variable \(u_{\mathrm{row}}\) in direction of the test function given by arg.

The test variational argument belongs to the current cell, i.e. the interior side of the face.

◆ d2()

template<int row, int col, int dim>

Dune::FieldMatrix< Scalar, TestVars::::template Components< row >::m, AnsatzVars::::template Components< row >::m > VariationalFunctional::InnerBoundaryCache::d2	(	VariationalArg< Scalar, dim > const &	argT,
		VariationalArg< Scalar, dim > const &	argA,
		bool	centerCell
	)		const

Returns the second directional derivative of \( g \) at \( 0 \), with respect to the variables \(u_{\mathrm{row}}\) and \( u_{\mathrm{col}}\) in direction of the test functions given by argT and the ansatz functions, given by argA.

If centerCell is true, both test and ansatz variational arguments are associated on the current cell. Otherwise, the ansatz argument argA belongs to the neighbour cell, i.e. the outside of the face.

This method need only be defined for values of row/col for which D2<row,col>::present is true.

◆ evaluateAt()

template<class Position , class Evaluators >

void VariationalFunctional::InnerBoundaryCache::evaluateAt	(	Position const &	x,
		Evaluators const &	evaluators,
		Evaluators const &	neighbourEvaluators
	)

Prepare the cache for evaluation at given quadrature point.

Parameters

x	the quadrature point in the local face coordinate system
evaluators	evaluators for quantities on the current cell
neighbourEvaluators	evaluators for the cell on the opposite side of the face

◆ moveTo()

template<class FaceIterator >

void VariationalFunctional::InnerBoundaryCache::moveTo ( FaceIterator const & )

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

variationalfunctional.hh