MFEM v4.8.0
Finite element discretization library
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mfem::ImplicitMidpointSolver Class Reference

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

#include <ode.hpp>

Inheritance diagram for mfem::ImplicitMidpointSolver:
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Collaboration diagram for mfem::ImplicitMidpointSolver:
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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
TimeDependentOperatorf
 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< ODESolverSelect (const int ode_solver_type)
 
static MFEM_EXPORT std::unique_ptr< ODESolverSelectExplicit (const int ode_solver_type)
 
static MFEM_EXPORT std::unique_ptr< ODESolverSelectImplicit (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

◆ Init()

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.

◆ Step()

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]xApproximate solution.
[in,out]tTime associated with the approximate solution x.
[in,out]dtTime 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.

Implements mfem::ODESolver.

Definition at line 655 of file ode.cpp.

Member Data Documentation

◆ k

Vector mfem::ImplicitMidpointSolver::k
protected

Definition at line 352 of file ode.hpp.


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