#include <dune/pdelab/localoperator/poisson.hh>

Inheritance diagram for Dune::PDELab::Poisson< F, B, J >:

Public Types
enum	{ doPatternVolume = true }

enum	{ doAlphaVolume = true }

enum	{ doLambdaVolume = true }

enum	{ doLambdaBoundary = true }

Flags for the sparsity pattern
enum	{ doPatternVolume }
	Whether to assemble the pattern on the elements, i.e. whether or not pattern_volume() should be called. More...

enum	{ doPatternVolumePostSkeleton }
	Whether to assemble the pattern on the elements after the skeleton has been handled, i.e. whether or not pattern_volume_post_skeleton() should be called. More...

enum	{ doPatternSkeleton }
	Whether to assemble the pattern on the interior intersections, i.e. whether or not pattern_skeleton() should be called. More...

enum	{ doPatternBoundary }
	Whether to assemble the pattern on the boundary intersections, i.e. whether or not pattern_boundary() should be called. More...

Flags for the non-constant part of the residual and the jacobian
enum	{ doAlphaVolume }
	Whether to call the local operator's alpha_volume(), jacobian_apply_volume() and jacobian_volume(). More...

enum	{ doAlphaVolumePostSkeleton }
	Whether to call the local operator's alpha_volume_post_skeleton(), jacobian_apply_volume_post_skeleton() and jacobian_volume_post_skeleton(). More...

enum	{ doAlphaSkeleton }
	Whether to call the local operator's alpha_skeleton(), jacobian_apply_skeleton() and jacobian_skeleton(). More...

enum	{ doAlphaBoundary }
	Whether to call the local operator's alpha_boundary(), jacobian_apply_boundary() and jacobian_boundary(). More...

Flags for the constant part of the residual
enum	{ doLambdaVolume }
	Whether to call the local operator's lambda_volume(). More...

enum	{ doLambdaVolumePostSkeleton }
	Whether to call the local operator's lambda_volume_post_skeleton(). More...

enum	{ doLambdaSkeleton }
	Whether to call the local operator's lambda_skeleton(). More...

enum	{ doLambdaBoundary }
	Whether to call the local operator's lambda_boundary(). More...

Special flags
enum	{ doSkeletonTwoSided }
	Whether to visit the skeleton methods from both sides. More...

Public Member Functions
	Poisson (const F &f_, const B &bctype_, const J &j_, unsigned int quadOrder)
	Constructor. More...

template<typename EG , typename LFSU , typename X , typename LFSV , typename R >
void	alpha_volume (const EG &eg, const LFSU &lfsu, const X &x, const LFSV &lfsv, R &r) const

template<typename EG , typename LFSU , typename X , typename LFSV , typename M >
void	jacobian_volume (const EG &eg, const LFSU &lfsu, const X &x, const LFSV &lfsv, M &matrix) const
	Compute the Laplace stiffness matrix for the element given in 'eg'. More...

template<typename EG , typename LFSV , typename R >
void	lambda_volume (const EG &eg, const LFSV &lfsv, R &r) const

template<typename IG , typename LFSV , typename R >
void	lambda_boundary (const IG &ig, const LFSV &lfsv, R &r) const

void	jacobian_apply_volume (const EG &eg, const LFSU &lfsu, const X &x, const LFSV &lfsv, Y &y) const
	apply local jacobian of the volume term More...

template<typename LFSU , typename LFSV , typename LocalPattern >
void	pattern_volume (const LFSU &lfsu, const LFSV &lfsv, LocalPattern &pattern) const

Protected Attributes
const F &	f

const B &	bctype

const J &	j

Laplace	laplace_

unsigned int	quadOrder_

Detailed Description

template<typename F, typename B, typename J>
class Dune::PDELab::Poisson< F, B, J >

a local operator for solving the Poisson equation

$\begin{align*} - \Delta u &=& f \mbox{ in } \Omega, \\ u &=& g \mbox{ on } \partial\Omega_D \\ -\nabla u \cdot \nu &=& j \mbox{ on } \partial\Omega_N \\ \end{align*}$

with conforming finite elements on all types of grids in any dimension

Template Parameters

F	grid function type giving f
B	grid function type selecting boundary condition
J	grid function type giving j

Member Enumeration Documentation

anonymous enum

inherited

Whether to assemble the pattern on the elements, i.e. whether or not pattern_volume() should be called.

Enumerator
doPatternVolume

anonymous enum

inherited

Whether to assemble the pattern on the elements after the skeleton has been handled, i.e. whether or not pattern_volume_post_skeleton() should be called.

Enumerator
doPatternVolumePostSkeleton

anonymous enum

inherited

Whether to assemble the pattern on the interior intersections, i.e. whether or not pattern_skeleton() should be called.

Enumerator
doPatternSkeleton

anonymous enum

inherited

Whether to assemble the pattern on the boundary intersections, i.e. whether or not pattern_boundary() should be called.

Enumerator
doPatternBoundary

anonymous enum

inherited

Whether to call the local operator's alpha_volume(), jacobian_apply_volume() and jacobian_volume().

Enumerator
doAlphaVolume

anonymous enum

inherited

Whether to call the local operator's alpha_volume_post_skeleton(), jacobian_apply_volume_post_skeleton() and jacobian_volume_post_skeleton().

Enumerator
doAlphaVolumePostSkeleton

anonymous enum

inherited

Whether to call the local operator's alpha_skeleton(), jacobian_apply_skeleton() and jacobian_skeleton().

Enumerator
doAlphaSkeleton

anonymous enum

inherited

Whether to call the local operator's alpha_boundary(), jacobian_apply_boundary() and jacobian_boundary().

Enumerator
doAlphaBoundary

anonymous enum

inherited

Whether to call the local operator's lambda_volume().

Enumerator
doLambdaVolume

anonymous enum

inherited

Whether to call the local operator's lambda_volume_post_skeleton().

Enumerator
doLambdaVolumePostSkeleton

anonymous enum

inherited

Whether to call the local operator's lambda_skeleton().

Enumerator
doLambdaSkeleton

anonymous enum

inherited

Whether to call the local operator's lambda_boundary().

Enumerator
doLambdaBoundary

anonymous enum

inherited

Whether to visit the skeleton methods from both sides.

Enumerator
doSkeletonTwoSided

template<typename F , typename B , typename J >

anonymous enum

Enumerator
doPatternVolume

template<typename F , typename B , typename J >

anonymous enum

Enumerator
doAlphaVolume

template<typename F , typename B , typename J >

anonymous enum

Enumerator
doLambdaVolume

template<typename F , typename B , typename J >

anonymous enum

Enumerator
doLambdaBoundary

Constructor & Destructor Documentation

template<typename F , typename B , typename J >

Dune::PDELab::Poisson< F, B, J >::Poisson	(	const F &	f_,
		const B &	bctype_,
		const J &	j_,
		unsigned int	quadOrder
	)

inline

Constructor.

Parameters

quadOrder Order of the quadrature rule used for integrating over the element

Member Function Documentation

template<typename F , typename B , typename J >

template<typename EG , typename LFSU , typename X , typename LFSV , typename R >

void Dune::PDELab::Poisson< F, B, J >::alpha_volume	(	const EG &	eg,
		const LFSU &	lfsu,
		const X &	x,
		const LFSV &	lfsv,
		R &	r
	)		const

inline

References Dune::PDELab::Laplace::alpha_volume(), and Dune::PDELab::Poisson< F, B, J >::laplace_.

void Dune::PDELab::NumericalJacobianApplyVolume< Poisson< F, B, J > >::jacobian_apply_volume	(	const EG &	eg,
		const LFSU &	lfsu,
		const X &	x,
		const LFSV &	lfsv,
		Y &	y
	)		const

inlineinherited

apply local jacobian of the volume term

template<typename F , typename B , typename J >

template<typename EG , typename LFSU , typename X , typename LFSV , typename M >

void Dune::PDELab::Poisson< F, B, J >::jacobian_volume	(	const EG &	eg,
		const LFSU &	lfsu,
		const X &	x,
		const LFSV &	lfsv,
		M &	matrix
	)		const

inline

Compute the Laplace stiffness matrix for the element given in 'eg'.

Template Parameters

M	Type of the element stiffness matrix

Parameters

[in]	eg	The grid element we are assembling on
[in]	lfsu	Local ansatz function space basis
[in]	lfsv	Local test function space basis
[in]	x	Current configuration; gets ignored for linear problems like this one
[out]	matrix	Element stiffness matrix