Dune::PDELab::Laplace Class Reference

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

Inheritance diagram for Dune::PDELab::Laplace:

Public Types
enum	{ doPatternVolume = true }
enum	{ doAlphaVolume = 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
	Laplace (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
	Compute Laplace matrix times a given vector for one element. More...
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 LFSU , typename LFSV , typename LocalPattern >
void	pattern_volume (const LFSU &lfsu, const LFSV &lfsv, LocalPattern &pattern) const

Protected Attributes
unsigned int	quadOrder_

Detailed Description

a local operator for solving the Laplace equation

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

In other words, it only assembles the Laplace matrix.

Constructor & Destructor Documentation

Dune::PDELab::Laplace::Laplace ( unsigned int  quadOrder )

inline

Constructor.

Parameters

quadOrder

Order of the quadrature rule used for integrating over the element

Member Function Documentation

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

void Dune::PDELab::Laplace::alpha_volume ( const EG &  eg, const LFSU &  lfsu, const X &  x, const LFSV &  lfsv, R &  r  ) const

inline

Compute Laplace matrix times a given vector for one element.

This is used for matrix-free algorithms for the Laplace equation

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	Input vector
[out]	r	The product of the Laplace matrix times x

References quadOrder_.

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

void Dune::PDELab::Laplace::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

References dim, and quadOrder_.

template<typename LFSU , typename LFSV , typename LocalPattern >

void Dune::PDELab::FullVolumePattern::pattern_volume ( const LFSU &  lfsu, const LFSV &  lfsv, LocalPattern &  pattern  ) const

inlineinherited

Member Data Documentation

unsigned int Dune::PDELab::Laplace::quadOrder_

protected

Referenced by alpha_volume(), and jacobian_volume().

---

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

• laplace.hh