Kaskade::Laplace< Scalar, dim, components, isotropic > Class Template Reference

Convenience class for handling diffusion terms in elliptic/parabolic equations. More...

#include <laplace.hh>

Detailed Description

template<class Scalar, int dim, int components, bool isotropic = true>
class Kaskade::Laplace< Scalar, dim, components, isotropic >

Convenience class for handling diffusion terms in elliptic/parabolic equations.

This class defines the variational formulation of the diffusion operator \( -\mathrm{div}(\kappa \nabla \cdot)\) for scalar-valued functions, i.e. the variational functional \( u \mapsto \nabla \frac{1}{2}u^T \kappa \nabla u \).

Definition at line 112 of file laplace.hh.

Public Member Functions
	Laplace ()
	Constructor The diffusion constant \( kappa \) is initialized to 1, the linearization point \(u_0\) to \( \nabla u_0 = 0 \). More...
void	setDiffusionTensor (Scalar kappa_)
void	setLinearizationPoint (Dune::FieldMatrix< Scalar, components, dim > const &du0_)
Scalar	d0 () const
Scalar	d1 (VariationalArg< Scalar, dim, components > const &arg) const
Scalar	d2 (VariationalArg< Scalar, dim, components > const &arg1, VariationalArg< Scalar, dim, components > const &arg2) const

Constructor & Destructor Documentation

Laplace()

template<class Scalar , int dim, int components, bool isotropic = true>

Kaskade::Laplace< Scalar, dim, components, isotropic >::Laplace ( )

inline

Constructor The diffusion constant \( kappa \) is initialized to 1, the linearization point \(u_0\) to \( \nabla u_0 = 0 \).

Definition at line 119 of file laplace.hh.

Member Function Documentation

d0()

template<class Scalar , int dim, int components, bool isotropic = true>

Scalar Kaskade::Laplace< Scalar, dim, components, isotropic >::d0 ( ) const

inline

Definition at line 134 of file laplace.hh.

d1()

template<class Scalar , int dim, int components, bool isotropic = true>

Scalar Kaskade::Laplace< Scalar, dim, components, isotropic >::d1 ( VariationalArg< Scalar, dim, components > const &  arg ) const

inline

Definition at line 139 of file laplace.hh.

d2()

template<class Scalar , int dim, int components, bool isotropic = true>

Scalar Kaskade::Laplace< Scalar, dim, components, isotropic >::d2 ( VariationalArg< Scalar, dim, components > const &  arg1, VariationalArg< Scalar, dim, components > const &  arg2  ) const

inline

Definition at line 144 of file laplace.hh.

setDiffusionTensor()

template<class Scalar , int dim, int components, bool isotropic = true>

void Kaskade::Laplace< Scalar, dim, components, isotropic >::setDiffusionTensor ( Scalar  kappa_ )

inline

Definition at line 123 of file laplace.hh.

setLinearizationPoint()

template<class Scalar , int dim, int components, bool isotropic = true>

void Kaskade::Laplace< Scalar, dim, components, isotropic >::setLinearizationPoint ( Dune::FieldMatrix< Scalar, components, dim > const &  du0_ )

inline

Definition at line 129 of file laplace.hh.

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

• laplace.hh