Dune::PDELab::LinearElasticity< T > Class Template Reference

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

Inheritance diagram for Dune::PDELab::LinearElasticity< T >:

Public Types
enum	{ doPatternVolume = true }
enum	{ doAlphaVolume = true }
enum	{ doLambdaVolume = true }
enum	{ doLambdaBoundary = true }
using	ParameterType = T
typedef T::Traits::DomainType	RealType
Flags selective assembly
enum	{ doSkipEntity }
	Whether to do selective assembly on the elements, i.e. whether or not skip_entity() should be called. More...
enum	{ doSkipIntersection }
	Whether to do selective assembly on the intersections, i.e. whether or not skip_intersection() should be called. More...
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...
enum	{ isLinear }
	Wheter the local operator describes a linear problem. More...

Public Member Functions
	LinearElasticity (const ParameterType &p, int intorder=4)
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 &mat) const
template<typename EG , typename LFSU_HAT , typename X , typename LFSV , typename R >
void	alpha_volume (const EG &eg, const LFSU_HAT &lfsu_hat, const X &x, const LFSV &lfsv, R &r) const
template<typename EG , typename LFSV_HAT , typename R >
void	lambda_volume (const EG &eg, const LFSV_HAT &lfsv_hat, R &r) const
template<typename IG , typename LFSV_HAT , typename R >
void	lambda_boundary (const IG &ig, const LFSV_HAT &lfsv_hat, R &r) const
template<typename LFSU , typename LFSV , typename LocalPattern >
void	pattern_volume (const LFSU &lfsu, const LFSV &lfsv, LocalPattern &pattern) const
void	setTime (T::Traits::DomainType t_)
	set time for subsequent evaluation
T::Traits::DomainType	getTime () const
	get current time
void	preStep (RealType time, RealType dt, int stages)
	to be called once before each time step
void	postStep ()
	to be called once at the end of each time step
void	preStage (RealType time, int r)
	to be called once before each stage
int	getStage () const
	get current stage
void	postStage ()
	to be called once at the end of each stage
RealType	suggestTimestep (RealType dt) const
	to be called after stage 1

Protected Attributes
int	intorder_
const ParameterType &	param_

Detailed Description

template<typename T>
class Dune::PDELab::LinearElasticity< T >

a local operator for solving the the linear elasticity problem using conforming FEM

Note

we only support Dirichlet and homogeneous Neumann boundary conditions

Template Parameters

T	model of LinearElasticityParameterInterface

Todo:

check LFSU size

check LFSU == LFSV

Member Typedef Documentation

ParameterType

template<typename T >

using Dune::PDELab::LinearElasticity< T >::ParameterType = T

RealType

typedef T::Traits::DomainType Dune::PDELab::InstationaryLocalOperatorDefaultMethods< T::Traits::DomainType >::RealType

inherited

Member Enumeration Documentation

anonymous enum

anonymous enum

inherited

Whether to do selective assembly on the elements, i.e. whether or not skip_entity() should be called.

Enumerator
doSkipEntity

anonymous enum

anonymous enum

inherited

Whether to do selective assembly on the intersections, i.e. whether or not skip_intersection() should be called.

Enumerator
doSkipIntersection

anonymous enum

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

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

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

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

anonymous enum

inherited

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

Enumerator
doAlphaVolume

anonymous enum

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

anonymous enum

inherited

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

Enumerator
doAlphaSkeleton

anonymous enum

anonymous enum

inherited

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

Enumerator
doAlphaBoundary

anonymous enum

anonymous enum

inherited

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

Enumerator
doLambdaVolume

anonymous enum

anonymous enum

inherited

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

Enumerator
doLambdaVolumePostSkeleton

anonymous enum

anonymous enum

inherited

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

Enumerator
doLambdaSkeleton

anonymous enum

anonymous enum

inherited

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

Enumerator
doLambdaBoundary

anonymous enum

anonymous enum

inherited

Whether to visit the skeleton methods from both sides.

Enumerator
doSkeletonTwoSided

anonymous enum

anonymous enum

inherited

Wheter the local operator describes a linear problem.

Enumerator
isLinear

anonymous enum

template<typename T >

anonymous enum

Enumerator
doPatternVolume

anonymous enum

template<typename T >

anonymous enum

Enumerator
doAlphaVolume

anonymous enum

template<typename T >

anonymous enum

Enumerator
doLambdaVolume

anonymous enum

template<typename T >

anonymous enum

Enumerator
doLambdaBoundary

Constructor & Destructor Documentation

LinearElasticity()

template<typename T >

Dune::PDELab::LinearElasticity< T >::LinearElasticity ( const ParameterType &  p, int  intorder = 4  )

inline

Member Function Documentation

alpha_volume()

template<typename T >

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

void Dune::PDELab::LinearElasticity< T >::alpha_volume ( const EG &  eg, const LFSU_HAT &  lfsu_hat, const X &  x, const LFSV &  lfsv, R &  r  ) const

inline

getStage()

int Dune::PDELab::InstationaryLocalOperatorDefaultMethods< T::Traits::DomainType >::getStage ( ) const

inlineinherited

get current stage

Returns

The current stage number previously set by preStage().

getTime()

T::Traits::DomainType Dune::PDELab::InstationaryLocalOperatorDefaultMethods< T::Traits::DomainType >::getTime ( ) const

inlineinherited

get current time

Returns

The time previously set by setTime().

jacobian_volume()

template<typename T >

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

void Dune::PDELab::LinearElasticity< T >::jacobian_volume ( const EG &  eg, const LFSU &  lfsu, const X &  x, const LFSV &  lfsv, M &  mat  ) const

inline

lambda_boundary()

template<typename T >

template<typename IG , typename LFSV_HAT , typename R >

void Dune::PDELab::LinearElasticity< T >::lambda_boundary ( const IG &  ig, const LFSV_HAT &  lfsv_hat, R &  r  ) const

inline

lambda_volume()

template<typename T >

template<typename EG , typename LFSV_HAT , typename R >

void Dune::PDELab::LinearElasticity< T >::lambda_volume ( const EG &  eg, const LFSV_HAT &  lfsv_hat, R &  r  ) const

inline

pattern_volume()

template<typename LFSU , typename LFSV , typename LocalPattern >

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

inlineinherited

postStage()

void Dune::PDELab::InstationaryLocalOperatorDefaultMethods< T::Traits::DomainType >::postStage ( )

inlineinherited

to be called once at the end of each stage

postStep()

void Dune::PDELab::InstationaryLocalOperatorDefaultMethods< T::Traits::DomainType >::postStep ( )

inlineinherited

to be called once at the end of each time step

Note

With the OneStepMethod and the ExplicitOneStepMetod, for reasons unknown this is only called for temporal but not for spatial local operators. With the MultiStepMethod this is called for all local operators.

preStage()

void Dune::PDELab::InstationaryLocalOperatorDefaultMethods< T::Traits::DomainType >::preStage ( RealType  time, int  r  )

inlineinherited

to be called once before each stage

Parameters

time	Time of the stage
r	Number of the stage, r ∈ [1, nstages] inclusive, where nstages is the number of stage in the step given in the previous call to preStep()

Note

For ExplicitOneStepMethod the time given here for stage 1 may be incorrect, since the time step size is only finally determined after the first stage has been assembled.

For the MultiStepMethod, this is called once after preStep() with r=1.

preStep()

void Dune::PDELab::InstationaryLocalOperatorDefaultMethods< T::Traits::DomainType >::preStep ( RealType  time, RealType  dt, int  stages  )

inlineinherited

to be called once before each time step

Parameters

time	Time at beginning of the step.
dt	Size of time step.
stages	Number of stages to do in the step. For the MultiStepMethod this is always 1.

Note

For ExplicitOneStepMethod the dt given here may be incorrect, since the time step size is only finally determined after the first stage has been assembled.

For the MultiStepMethod the number of stages is given as

1. Since there are no times of evaluation in the middle of the step, a multi-step method is similar to a one step method with one stage.

setTime()

void Dune::PDELab::InstationaryLocalOperatorDefaultMethods< T::Traits::DomainType >::setTime ( T::Traits::DomainType  t_ )

inlineinherited

set time for subsequent evaluation

This method set the time for subsequent calls to the alpha_*(), lambda_*(), jacobian_*() and jacobian_apply_*() methods.

Note

For ExplicitOneStepMethod the time given here in the first stage may be incorrect, since the time step size is only finally determined after the first stage has been assembled.

suggestTimestep()

RealType Dune::PDELab::InstationaryLocalOperatorDefaultMethods< T::Traits::DomainType >::suggestTimestep ( RealType  dt ) const

inlineinherited

to be called after stage 1

Note

Only used by the ExplicitOneStepMethod.

This may be called on the spatial local operator in the case of an explicit one step scheme. It is called after stage 1 has been assembled (so the time given to preStep() may not apply anymore in this case). All the alpha_*() and lambda_*() methods should have been called, so they are a good place to generate the information returned here.

Member Data Documentation

intorder_

template<typename T >

int Dune::PDELab::LinearElasticity< T >::intorder_

protected

param_

template<typename T >

const ParameterType& Dune::PDELab::LinearElasticity< T >::param_

protected

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

• linearelasticity.hh