#include <ode.hpp>

Inheritance diagram for mfem::GeneralizedAlpha2Solver:

Collaboration diagram for mfem::GeneralizedAlpha2Solver:

Public Member Functions
	GeneralizedAlpha2Solver (double rho_inf=1.0)

void	PrintProperties (std::ostream &out=mfem::out)

void	Init (SecondOrderTimeDependentOperator &_f) override
	Associate a TimeDependentOperator with the ODE solver. More...

void	Step (Vector &x, Vector &dxdt, double &t, double &dt) override
	Perform a time step from time t [in] to time t [out] based on the requested step size dt [in]. More...

int	GetMaxStateSize () override
	Function for getting and setting the state vectors. More...

int	GetStateSize () override

const Vector &	GetStateVector (int i) override

void	GetStateVector (int i, Vector &state) override

void	SetStateVector (int i, Vector &state) override

Public Member Functions inherited from mfem::SecondOrderODESolver
	SecondOrderODESolver ()

virtual void	Run (Vector &x, Vector &dxdt, double &t, double &dt, double tf)
	Perform time integration from time t [in] to time tf [in]. More...

virtual	~SecondOrderODESolver ()

Protected Attributes
Vector	xa

Vector	va

Vector	aa

Vector	d2xdt2

double	alpha_f

double	alpha_m

double	beta

double	gamma

int	nstate

Protected Attributes inherited from mfem::SecondOrderODESolver
SecondOrderTimeDependentOperator *	f
	Pointer to the associated TimeDependentOperator. More...

MemoryType	mem_type

Detailed Description

Generalized-alpha ODE solver A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method J.Chung and G.M. Hulbert, J. Appl. Mech 60(2), 371-375, 1993 https://doi.org/10.1115/1.2900803 rho_inf in [0,1]

Definition at line 709 of file ode.hpp.

Constructor & Destructor Documentation

mfem::GeneralizedAlpha2Solver::GeneralizedAlpha2Solver ( double rho_inf = 1.0 )

inline

Definition at line 717 of file ode.hpp.

Member Function Documentation

int mfem::GeneralizedAlpha2Solver::GetMaxStateSize ( )

inlineoverridevirtual

Function for getting and setting the state vectors.

Reimplemented from mfem::SecondOrderODESolver.

Definition at line 734 of file ode.hpp.

int mfem::GeneralizedAlpha2Solver::GetStateSize ( )

inlineoverridevirtual

Reimplemented from mfem::SecondOrderODESolver.

Definition at line 735 of file ode.hpp.

const Vector & mfem::GeneralizedAlpha2Solver::GetStateVector ( int i )

overridevirtual

Reimplemented from mfem::SecondOrderODESolver.

Definition at line 975 of file ode.cpp.

void mfem::GeneralizedAlpha2Solver::GetStateVector	(	int	i,
		Vector &	state
	)

overridevirtual

Reimplemented from mfem::SecondOrderODESolver.

Definition at line 984 of file ode.cpp.

void mfem::GeneralizedAlpha2Solver::Init ( SecondOrderTimeDependentOperator & f )

overridevirtual

Associate a TimeDependentOperator with the ODE solver.

This method has to be called:

Before the first call to Step().
When the dimensions of the associated TimeDependentOperator change.
When a time stepping sequence has to be restarted.
To change the associated TimeDependentOperator.

Reimplemented from mfem::SecondOrderODESolver.

Definition at line 964 of file ode.cpp.

void mfem::GeneralizedAlpha2Solver::PrintProperties ( std::ostream & out = mfem::out )

Definition at line 1001 of file ode.cpp.

void mfem::GeneralizedAlpha2Solver::SetStateVector	(	int	i,
		Vector &	state
	)

overridevirtual

Reimplemented from mfem::SecondOrderODESolver.

Definition at line 992 of file ode.cpp.

void mfem::GeneralizedAlpha2Solver::Step	(	Vector &	x,
		Vector &	dxdt,
		double &	t,
		double &	dt
	)

overridevirtual

Perform a time step from time t [in] to time t [out] based on the requested step size dt [in].

Parameters

[in,out]	x	Approximate solution.
[in,out]	dxdt	Approximate rate.
[in,out]	t	Time associated with the approximate solution x and rate @ dxdt
[in,out]	dt	Time step size.

The following rules describe the common behavior of the method:

The input x [in] is the approximate solution for the input time t [in].
The input dxdt [in] is the approximate rate for the input time t [in].
The input dt [in] is the desired time step size, defining the desired target time: t [target] = t [in] + dt [in].
The output x [out] is the approximate solution for the output time t [out].
The output dxdt [out] is the approximate rate for the output time t [out].
The output dt [out] is the last time step taken by the method which may be smaller or larger than the input dt [in] value, e.g. because of time step control.
The method may perform more than one time step internally; in this case dt [out] is the last internal time step size.
The output value of t [out] may be smaller or larger than t [target], however, it is not smaller than t [in] + dt [out], if at least one internal time step was performed.
The value x [out] may be obtained by interpolation using internally stored data.
In some cases, the contents of x [in] may not be used, e.g. when x [out] from a previous Step() call was obtained by interpolation.
In consecutive calls to this method, the output t [out] of one Step() call has to be the same as the input t [in] to the next Step() call.
If the previous rule has to be broken, e.g. to restart a time stepping sequence, then the ODE solver must be re-initialized by calling Init() between the two Step() calls.

Implements mfem::SecondOrderODESolver.

Definition at line 1030 of file ode.cpp.

Member Data Documentation

Vector mfem::GeneralizedAlpha2Solver::aa

protected

Definition at line 712 of file ode.hpp.

double mfem::GeneralizedAlpha2Solver::alpha_f

protected

Definition at line 713 of file ode.hpp.

double mfem::GeneralizedAlpha2Solver::alpha_m

protected

Definition at line 713 of file ode.hpp.

double mfem::GeneralizedAlpha2Solver::beta

protected

Definition at line 713 of file ode.hpp.

Vector mfem::GeneralizedAlpha2Solver::d2xdt2

protected

Definition at line 712 of file ode.hpp.

double mfem::GeneralizedAlpha2Solver::gamma

protected

Definition at line 713 of file ode.hpp.

int mfem::GeneralizedAlpha2Solver::nstate

protected

Definition at line 714 of file ode.hpp.

Vector mfem::GeneralizedAlpha2Solver::va

protected

Definition at line 712 of file ode.hpp.

Vector mfem::GeneralizedAlpha2Solver::xa

protected

Definition at line 712 of file ode.hpp.

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

linalg/ode.hpp
linalg/ode.cpp

Public Member Functions

Protected Attributes

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation