Kaskade::HomogeneousNeumannBoundary< Functional > Class Template Reference

A simple boundary cache implementing homogeneous Neumann boundary conditions. More...

#include <boundaryConditions.hh>

Detailed Description

template<class Functional>
class Kaskade::HomogeneousNeumannBoundary< Functional >

A simple boundary cache implementing homogeneous Neumann boundary conditions.

This realizes \( u_x \kappa n = 0 \) for all variables, i.e. the boundary integral term vanishes.

Within the variational functional (or weak formulation), specify global homogeneous Neumann boundary conditions by

using Self = ...; // type of variational functional
using BoundaryCache = Kaskade::HomogeneousNeumannBoundary<Self>;

Definition at line 34 of file boundaryConditions.hh.

Public Member Functions
	HomogeneousNeumannBoundary (Functional const &, typename Functional::OriginVars::VariableSet const &, int)
	Constructor. More...
	HomogeneousNeumannBoundary (int)
	Constructor. More...
template<class FaceIterator >
void	moveTo (FaceIterator const &)
template<class Evaluators >
void	evaluateAt (Dune::FieldVector< typename Functional::AnsatzVars::Grid::ctype, dim-1 > const &, Evaluators const &)
Scalar	d0 () const
template<int row>
auto	d1 (VariationalArg< Scalar, dim > const &) const
template<int row, int col>
auto	d2 (VariationalArg< Scalar, dim > const &, VariationalArg< Scalar, dim > const &) const

Constructor & Destructor Documentation

HomogeneousNeumannBoundary() [1/2]

template<class Functional >

Kaskade::HomogeneousNeumannBoundary< Functional >::HomogeneousNeumannBoundary ( Functional const &  , typename Functional::OriginVars::VariableSet const &  , int    )

inline

Constructor.

This is intended for nonlinear variational functionals.

Definition at line 45 of file boundaryConditions.hh.

HomogeneousNeumannBoundary() [2/2]

template<class Functional >

Kaskade::HomogeneousNeumannBoundary< Functional >::HomogeneousNeumannBoundary ( int  )

inline

Constructor.

This is intended for linear variational functionals.

Definition at line 52 of file boundaryConditions.hh.

Member Function Documentation

d0()

template<class Functional >

Scalar Kaskade::HomogeneousNeumannBoundary< Functional >::d0 ( ) const

inline

Definition at line 60 of file boundaryConditions.hh.

d1()

template<class Functional >

template<int row>

auto Kaskade::HomogeneousNeumannBoundary< Functional >::d1 ( VariationalArg< Scalar, dim > const &  ) const

inline

Definition at line 63 of file boundaryConditions.hh.

d2()

template<class Functional >

template<int row, int col>

auto Kaskade::HomogeneousNeumannBoundary< Functional >::d2 ( VariationalArg< Scalar, dim > const &  , VariationalArg< Scalar, dim > const &    ) const

inline

Definition at line 69 of file boundaryConditions.hh.

evaluateAt()

template<class Functional >

template<class Evaluators >

void Kaskade::HomogeneousNeumannBoundary< Functional >::evaluateAt ( Dune::FieldVector< typename Functional::AnsatzVars::Grid::ctype, dim-1 > const &  , Evaluators const &    )

inline

Definition at line 58 of file boundaryConditions.hh.

moveTo()

template<class Functional >

template<class FaceIterator >

void Kaskade::HomogeneousNeumannBoundary< Functional >::moveTo ( FaceIterator const &  )

inline

Definition at line 55 of file boundaryConditions.hh.

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

• boundaryConditions.hh