Time stepping with one step methods. More...

Classes
class	Dune::PDELab::TimeControllerInterface< R >
	Controller interface for adaptive time stepping. More...

class	Dune::PDELab::SimpleTimeController< R >
	Default time controller; just returns given dt. More...

class	Dune::PDELab::CFLTimeController< R, IGOS >
	limit time step to maximum dt * CFL number More...

class	Dune::PDELab::ExplicitOneStepMethod< T, IGOS, LS, TrlV, TstV, TC >
	Do one step of an explicit time-stepping scheme. More...

class	Dune::PDELab::OneStepMethod< T, IGOS, PDESOLVER, TrlV, TstV >
	Do one step of a time-stepping scheme. More...

class	Dune::PDELab::TimeSteppingParameterInterface< R >
	Base parameter class for time stepping scheme parameters. More...

class	Dune::PDELab::OneStepThetaParameter< R >
	Parameters to turn the OneStepMethod into an one step theta method. More...

class	Dune::PDELab::ExplicitEulerParameter< R >
	Parameters to turn the ExplicitOneStepMethod into an explicit Euler method. More...

class	Dune::PDELab::ImplicitEulerParameter< R >
	Parameters to turn the OneStepMethod into an implicit Euler method. More...

class	Dune::PDELab::HeunParameter< R >
	Parameters to turn the ExplicitOneStepMethod into a Heun scheme. More...

class	Dune::PDELab::Shu3Parameter< R >
	Parameters to turn the ExplicitOneStepMethod into a third order strong stability preserving (SSP) scheme. More...

class	Dune::PDELab::RK4Parameter< R >
	Parameters to turn the ExplicitOneStepMethod into a classical fourth order Runge-Kutta method. More...

class	Dune::PDELab::Alexander2Parameter< R >
	Parameters to turn the OneStepMethod into an Alexander scheme. More...

class	Dune::PDELab::FractionalStepParameter< R >
	Parameters to turn the OneStepMethod into a fractional step theta scheme. More...

class	Dune::PDELab::Alexander3Parameter< R >
	Parameters to turn the OneStepMethod into an Alexander3 scheme. More...

Functions
virtual bool	Dune::PDELab::TimeSteppingParameterInterface< R >::implicit () const =0
	Return true if method is implicit.

virtual unsigned	Dune::PDELab::TimeSteppingParameterInterface< R >::s () const =0
	Return number of stages of the method.

virtual R	Dune::PDELab::TimeSteppingParameterInterface< R >::a (int r, int i) const =0
	Return entries of the A matrix. More...

virtual R	Dune::PDELab::TimeSteppingParameterInterface< R >::b (int r, int i) const =0
	Return entries of the B matrix. More...

virtual R	Dune::PDELab::TimeSteppingParameterInterface< R >::d (int r) const =0
	Return entries of the d Vector. More...

virtual std::string	Dune::PDELab::TimeSteppingParameterInterface< R >::name () const =0
	Return name of the scheme.

virtual	Dune::PDELab::TimeSteppingParameterInterface< R >::~TimeSteppingParameterInterface ()
	every abstract base class has a virtual destructor

	Dune::PDELab::OneStepThetaParameter< R >::OneStepThetaParameter (R theta_)
	construct OneStepThetaParameter class

virtual bool	Dune::PDELab::OneStepThetaParameter< R >::implicit () const override
	Return true if method is implicit.

virtual unsigned	Dune::PDELab::OneStepThetaParameter< R >::s () const override
	Return number of stages s of the method.

virtual R	Dune::PDELab::OneStepThetaParameter< R >::a (int r, int i) const override
	Return entries of the A matrix. More...

virtual R	Dune::PDELab::OneStepThetaParameter< R >::b (int r, int i) const override
	Return entries of the B matrix. More...

virtual R	Dune::PDELab::OneStepThetaParameter< R >::d (int i) const override
	Return entries of the d Vector. More...

virtual std::string	Dune::PDELab::OneStepThetaParameter< R >::name () const override
	Return name of the scheme.

virtual std::string	Dune::PDELab::ExplicitEulerParameter< R >::name () const override
	Return name of the scheme.

virtual std::string	Dune::PDELab::ImplicitEulerParameter< R >::name () const override
	Return name of the scheme.

virtual bool	Dune::PDELab::HeunParameter< R >::implicit () const override
	Return true if method is implicit.

virtual unsigned	Dune::PDELab::HeunParameter< R >::s () const override
	Return number of stages s of the method.

virtual R	Dune::PDELab::HeunParameter< R >::a (int r, int i) const override
	Return entries of the A matrix. More...

virtual R	Dune::PDELab::HeunParameter< R >::b (int r, int i) const override
	Return entries of the B matrix. More...

virtual R	Dune::PDELab::HeunParameter< R >::d (int i) const override
	Return entries of the d Vector. More...

virtual std::string	Dune::PDELab::HeunParameter< R >::name () const override
	Return name of the scheme.

virtual bool	Dune::PDELab::Shu3Parameter< R >::implicit () const override
	Return true if method is implicit.

virtual unsigned	Dune::PDELab::Shu3Parameter< R >::s () const override
	Return number of stages s of the method.

virtual R	Dune::PDELab::Shu3Parameter< R >::a (int r, int i) const override
	Return entries of the A matrix. More...

virtual R	Dune::PDELab::Shu3Parameter< R >::b (int r, int i) const override
	Return entries of the B matrix. More...

virtual R	Dune::PDELab::Shu3Parameter< R >::d (int i) const override
	Return entries of the d Vector. More...

virtual std::string	Dune::PDELab::Shu3Parameter< R >::name () const override
	Return name of the scheme.

virtual bool	Dune::PDELab::RK4Parameter< R >::implicit () const override
	Return true if method is implicit.

virtual unsigned	Dune::PDELab::RK4Parameter< R >::s () const override
	Return number of stages s of the method.

virtual R	Dune::PDELab::RK4Parameter< R >::a (int r, int i) const override
	Return entries of the A matrix. More...

virtual R	Dune::PDELab::RK4Parameter< R >::b (int r, int i) const override
	Return entries of the B matrix. More...

virtual R	Dune::PDELab::RK4Parameter< R >::d (int i) const override
	Return entries of the d Vector. More...

virtual std::string	Dune::PDELab::RK4Parameter< R >::name () const override
	Return name of the scheme.

virtual bool	Dune::PDELab::Alexander2Parameter< R >::implicit () const override
	Return true if method is implicit.

virtual unsigned	Dune::PDELab::Alexander2Parameter< R >::s () const override
	Return number of stages s of the method.

virtual R	Dune::PDELab::Alexander2Parameter< R >::a (int r, int i) const override
	Return entries of the A matrix. More...

virtual R	Dune::PDELab::Alexander2Parameter< R >::b (int r, int i) const override
	Return entries of the B matrix. More...

virtual R	Dune::PDELab::Alexander2Parameter< R >::d (int i) const override
	Return entries of the d Vector. More...

virtual std::string	Dune::PDELab::Alexander2Parameter< R >::name () const override
	Return name of the scheme.

virtual bool	Dune::PDELab::FractionalStepParameter< R >::implicit () const override
	Return true if method is implicit.

virtual unsigned	Dune::PDELab::FractionalStepParameter< R >::s () const override
	Return number of stages s of the method.

virtual R	Dune::PDELab::FractionalStepParameter< R >::a (int r, int i) const override
	Return entries of the A matrix. More...

virtual R	Dune::PDELab::FractionalStepParameter< R >::b (int r, int i) const override
	Return entries of the B matrix. More...

virtual R	Dune::PDELab::FractionalStepParameter< R >::d (int i) const override
	Return entries of the d Vector. More...

virtual std::string	Dune::PDELab::FractionalStepParameter< R >::name () const override
	Return name of the scheme.

virtual bool	Dune::PDELab::Alexander3Parameter< R >::implicit () const override
	Return true if method is implicit.

virtual unsigned	Dune::PDELab::Alexander3Parameter< R >::s () const override
	Return number of stages s of the method.

virtual R	Dune::PDELab::Alexander3Parameter< R >::a (int r, int i) const override
	Return entries of the A matrix. More...

virtual R	Dune::PDELab::Alexander3Parameter< R >::b (int r, int i) const override
	Return entries of the B matrix. More...

virtual R	Dune::PDELab::Alexander3Parameter< R >::d (int i) const override
	Return entries of the d Vector. More...

virtual std::string	Dune::PDELab::Alexander3Parameter< R >::name () const override
	Return name of the scheme.

Detailed Description

Time stepping with one step methods.

Use the class OneStepMethod to create a one step method. the actual method is chosen by providing the constructor with the correct parameter class, e.g. ExplicitEulerParameter.

Function Documentation

◆ a() [1/8]

template<class R >

virtual R Dune::PDELab::TimeSteppingParameterInterface< R >::a	(	int	r,
		int	i
	)		const

pure virtual

Return entries of the A matrix.

Note: that r ∈ 1,...,s and i ∈ 0,...,r

Implemented in Dune::PDELab::OneStepThetaParameter< R >, Dune::PDELab::HeunParameter< R >, Dune::PDELab::Shu3Parameter< R >, Dune::PDELab::RK4Parameter< R >, Dune::PDELab::Alexander2Parameter< R >, Dune::PDELab::FractionalStepParameter< R >, and Dune::PDELab::Alexander3Parameter< R >.

◆ a() [2/8]

template<class R >

virtual R Dune::PDELab::OneStepThetaParameter< R >::a	(	int	r,
		int	i
	)		const

inlineoverridevirtual

Return entries of the A matrix.

Note: that r ∈ 1,...,s and i ∈ 0,...,r

Implements Dune::PDELab::TimeSteppingParameterInterface< R >.

◆ a() [3/8]

template<class R >

virtual R Dune::PDELab::HeunParameter< R >::a	(	int	r,
		int	i
	)		const

inlineoverridevirtual

Return entries of the A matrix.

Note: that r ∈ 1,...,s and i ∈ 0,...,r

Implements Dune::PDELab::TimeSteppingParameterInterface< R >.

◆ a() [4/8]

template<class R >

virtual R Dune::PDELab::Shu3Parameter< R >::a	(	int	r,
		int	i
	)		const

inlineoverridevirtual

Return entries of the A matrix.

Note: that r ∈ 1,...,s and i ∈ 0,...,r

Implements Dune::PDELab::TimeSteppingParameterInterface< R >.

◆ a() [5/8]

template<class R >

virtual R Dune::PDELab::RK4Parameter< R >::a	(	int	r,
		int	i
	)		const

inlineoverridevirtual

Return entries of the A matrix.

Note: that r ∈ 1,...,s and i ∈ 0,...,r

Implements Dune::PDELab::TimeSteppingParameterInterface< R >.

◆ a() [6/8]

template<class R >

virtual R Dune::PDELab::Alexander2Parameter< R >::a	(	int	r,
		int	i
	)		const

inlineoverridevirtual

Return entries of the A matrix.

Note: that r ∈ 1,...,s and i ∈ 0,...,r

Implements Dune::PDELab::TimeSteppingParameterInterface< R >.

◆ a() [7/8]

template<class R >

virtual R Dune::PDELab::FractionalStepParameter< R >::a	(	int	r,
		int	i
	)		const

inlineoverridevirtual

Return entries of the A matrix.

Note: that r ∈ 1,...,s and i ∈ 0,...,r

Implements Dune::PDELab::TimeSteppingParameterInterface< R >.

◆ a() [8/8]

template<class R >

virtual R Dune::PDELab::Alexander3Parameter< R >::a	(	int	r,
		int	i
	)		const

inlineoverridevirtual

Return entries of the A matrix.

Note: that r ∈ 1,...,s and i ∈ 0,...,r

Implements Dune::PDELab::TimeSteppingParameterInterface< R >.

◆ b() [1/8]

template<class R >

virtual R Dune::PDELab::TimeSteppingParameterInterface< R >::b	(	int	r,
		int	i
	)		const

pure virtual

Return entries of the B matrix.

Note: that r ∈ 1,...,s and i ∈ 0,...,r

Implemented in Dune::PDELab::OneStepThetaParameter< R >, Dune::PDELab::HeunParameter< R >, Dune::PDELab::Shu3Parameter< R >, Dune::PDELab::RK4Parameter< R >, Dune::PDELab::Alexander2Parameter< R >, Dune::PDELab::FractionalStepParameter< R >, and Dune::PDELab::Alexander3Parameter< R >.

◆ b() [2/8]

template<class R >

virtual R Dune::PDELab::OneStepThetaParameter< R >::b	(	int	r,
		int	i
	)		const

inlineoverridevirtual

Return entries of the B matrix.

Note: that r ∈ 1,...,s and i ∈ 0,...,r

Implements Dune::PDELab::TimeSteppingParameterInterface< R >.

◆ b() [3/8]

template<class R >

virtual R Dune::PDELab::HeunParameter< R >::b	(	int	r,
		int	i
	)		const

inlineoverridevirtual

Return entries of the B matrix.

Note: that r ∈ 1,...,s and i ∈ 0,...,r

Implements Dune::PDELab::TimeSteppingParameterInterface< R >.

◆ b() [4/8]

template<class R >

virtual R Dune::PDELab::Shu3Parameter< R >::b	(	int	r,
		int	i
	)		const

inlineoverridevirtual

Return entries of the B matrix.

Note: that r ∈ 1,...,s and i ∈ 0,...,r

Implements Dune::PDELab::TimeSteppingParameterInterface< R >.

◆ b() [5/8]

template<class R >

virtual R Dune::PDELab::RK4Parameter< R >::b	(	int	r,
		int	i
	)		const

inlineoverridevirtual

Return entries of the B matrix.

Note: that r ∈ 1,...,s and i ∈ 0,...,r

Implements Dune::PDELab::TimeSteppingParameterInterface< R >.

◆ b() [6/8]

template<class R >

virtual R Dune::PDELab::Alexander2Parameter< R >::b	(	int	r,
		int	i
	)		const

inlineoverridevirtual

Return entries of the B matrix.

Note: that r ∈ 1,...,s and i ∈ 0,...,r

Implements Dune::PDELab::TimeSteppingParameterInterface< R >.

◆ b() [7/8]

template<class R >

virtual R Dune::PDELab::FractionalStepParameter< R >::b	(	int	r,
		int	i
	)		const

inlineoverridevirtual

Return entries of the B matrix.

Note: that r ∈ 1,...,s and i ∈ 0,...,r

Implements Dune::PDELab::TimeSteppingParameterInterface< R >.

◆ b() [8/8]

template<class R >

virtual R Dune::PDELab::Alexander3Parameter< R >::b	(	int	r,
		int	i
	)		const

inlineoverridevirtual

Return entries of the B matrix.

Note: that r ∈ 1,...,s and i ∈ 0,...,r

Implements Dune::PDELab::TimeSteppingParameterInterface< R >.

◆ d() [1/8]

template<class R >

virtual R Dune::PDELab::OneStepThetaParameter< R >::d ( int i ) const

inlineoverridevirtual

Return entries of the d Vector.

Note: that i ∈ 0,...,s

Implements Dune::PDELab::TimeSteppingParameterInterface< R >.

◆ d() [2/8]

template<class R >

virtual R Dune::PDELab::HeunParameter< R >::d ( int i ) const

inlineoverridevirtual

Return entries of the d Vector.

Note: that i ∈ 0,...,s

Implements Dune::PDELab::TimeSteppingParameterInterface< R >.

◆ d() [3/8]

template<class R >

virtual R Dune::PDELab::Shu3Parameter< R >::d ( int i ) const

inlineoverridevirtual

Return entries of the d Vector.

Note: that i ∈ 0,...,s

Implements Dune::PDELab::TimeSteppingParameterInterface< R >.

◆ d() [4/8]

template<class R >

virtual R Dune::PDELab::RK4Parameter< R >::d ( int i ) const

inlineoverridevirtual

Return entries of the d Vector.

Note: that i ∈ 0,...,s

Implements Dune::PDELab::TimeSteppingParameterInterface< R >.

◆ d() [5/8]

template<class R >

virtual R Dune::PDELab::Alexander2Parameter< R >::d ( int i ) const

inlineoverridevirtual

Return entries of the d Vector.

Note: that i ∈ 0,...,s

Implements Dune::PDELab::TimeSteppingParameterInterface< R >.

◆ d() [6/8]

template<class R >

virtual R Dune::PDELab::FractionalStepParameter< R >::d ( int i ) const

inlineoverridevirtual

Return entries of the d Vector.

Note: that i ∈ 0,...,s

Implements Dune::PDELab::TimeSteppingParameterInterface< R >.

◆ d() [7/8]

template<class R >

virtual R Dune::PDELab::Alexander3Parameter< R >::d ( int i ) const

inlineoverridevirtual

Return entries of the d Vector.

Note: that i ∈ 0,...,s

Implements Dune::PDELab::TimeSteppingParameterInterface< R >.

◆ d() [8/8]

template<class R >

virtual R Dune::PDELab::TimeSteppingParameterInterface< R >::d ( int r ) const

pure virtual

Return entries of the d Vector.

Note: that i ∈ 0,...,r

Implemented in Dune::PDELab::OneStepThetaParameter< R >, Dune::PDELab::HeunParameter< R >, Dune::PDELab::Shu3Parameter< R >, Dune::PDELab::RK4Parameter< R >, Dune::PDELab::Alexander2Parameter< R >, Dune::PDELab::FractionalStepParameter< R >, and Dune::PDELab::Alexander3Parameter< R >.

Referenced by Dune::PDELab::OneStepMethod< T, IGOS, PDESOLVER, TrlV, TstV >::apply(), Dune::PDELab::ExplicitOneStepMethod< T, IGOS, LS, TrlV, TstV, TC >::apply(), and Dune::PDELab::OneStepLocalAssembler< GO, LA0, LA1 >::timeAtStage().

DUNE Distributed and Unified Numerics Environment

DUNE PDELab (2.8)

Classes

Functions

Detailed Description

Function Documentation

◆ a() [1/8]

◆ a() [2/8]

◆ a() [3/8]

◆ a() [4/8]

◆ a() [5/8]

◆ a() [6/8]

◆ a() [7/8]

◆ a() [8/8]

◆ b() [1/8]

◆ b() [2/8]

◆ b() [3/8]

◆ b() [4/8]

◆ b() [5/8]

◆ b() [6/8]

◆ b() [7/8]

◆ b() [8/8]

◆ d() [1/8]

◆ d() [2/8]

◆ d() [3/8]

◆ d() [4/8]

◆ d() [5/8]

◆ d() [6/8]

◆ d() [7/8]

◆ d() [8/8]