Implicit midpoint method. A-stable, not L-stable. More...

#include <ode.hpp>

Inheritance diagram for mfem::ImplicitMidpointSolver:

Collaboration diagram for mfem::ImplicitMidpointSolver:

Public Member Functions
void	Init (TimeDependentOperator &f_) override
	Associate a TimeDependentOperator with the ODE solver.

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

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

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

virtual int	GetStateSize ()
	Returns how many State vectors the ODE requires.

virtual	~ODESolver ()

Protected Attributes
Vector	k

Protected Attributes inherited from mfem::ODESolver
TimeDependentOperator *	f
	Pointer to the associated TimeDependentOperator.

MemoryType	mem_type

Additional Inherited Members
Static Public Member Functions inherited from mfem::ODESolver
static MFEM_EXPORT std::unique_ptr< ODESolver >	Select (const int ode_solver_type)

static MFEM_EXPORT std::unique_ptr< ODESolver >	SelectExplicit (const int ode_solver_type)

static MFEM_EXPORT std::unique_ptr< ODESolver >	SelectImplicit (const int ode_solver_type)

Static Public Attributes inherited from mfem::ODESolver
static MFEM_EXPORT std::string	ExplicitTypes

static MFEM_EXPORT std::string	ImplicitTypes

static MFEM_EXPORT std::string	Types

Detailed Description

Implicit midpoint method. A-stable, not L-stable.

Definition at line 349 of file ode.hpp.

Member Function Documentation

void mfem::ImplicitMidpointSolver::Init ( TimeDependentOperator & f_ )

overridevirtual

Associate a TimeDependentOperator with the ODE solver.

This method has to be called:

Reimplemented from mfem::ODESolver.

Definition at line 649 of file ode.cpp.

void mfem::ImplicitMidpointSolver::Step	(	Vector &	x,
		real_t &	t,
		real_t &	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]	t	Time associated with the approximate solution x.
[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 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 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.

Definition at line 655 of file ode.cpp.

Vector mfem::ImplicitMidpointSolver::k

protected

Definition at line 352 of file ode.hpp.

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