mfem::NewmarkSolver Class Reference

#include <ode.hpp>

Inheritance diagram for mfem::NewmarkSolver:

Collaboration diagram for mfem::NewmarkSolver:

Public Member Functions
	NewmarkSolver (double beta_=0.25, double gamma_=0.5)
virtual void	PrintProperties (std::ostream &out=mfem::out)
virtual void	Init (SecondOrderTimeDependentOperator &_f)
	Associate a TimeDependentOperator with the ODE solver. More...
virtual void	Step (Vector &x, Vector &dxdt, double &t, double &dt)
	Perform a time step from time t [in] to time t [out] based on the requested step size dt [in]. More...
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 ()

Additional Inherited Members
Protected Attributes inherited from mfem::SecondOrderODESolver
SecondOrderTimeDependentOperator *	f
	Pointer to the associated TimeDependentOperator. More...
MemoryType	mem_type

Detailed Description

The classical newmark method. Newmark, N. M. (1959) A method of computation for structural dynamics. Journal of Engineering Mechanics, ASCE, 85 (EM3) 67-94.

Definition at line 617 of file ode.hpp.

Constructor & Destructor Documentation

mfem::NewmarkSolver::NewmarkSolver ( double  beta_ = 0.25, double  gamma_ = 0.5  )

inline

Definition at line 626 of file ode.hpp.

Member Function Documentation

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

virtual

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 823 of file ode.cpp.

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

virtual

Definition at line 831 of file ode.cpp.

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

virtual

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 860 of file ode.cpp.

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

• linalg/ode.hpp
• linalg/ode.cpp