Abstract class for solving systems of ODEs: d2x/dt2 = f(x,dx/dt,t)
More...
#include <ode.hpp>
Abstract class for solving systems of ODEs: d2x/dt2 = f(x,dx/dt,t)
Definition at line 607 of file ode.hpp.
◆ SecondOrderODESolver()
| mfem::SecondOrderODESolver::SecondOrderODESolver |
( |
| ) |
|
|
inline |
◆ ~SecondOrderODESolver()
| virtual mfem::SecondOrderODESolver::~SecondOrderODESolver |
( |
| ) |
|
|
inlinevirtual |
◆ GetMaxStateSize()
| virtual int mfem::SecondOrderODESolver::GetMaxStateSize |
( |
| ) |
|
|
inlinevirtual |
◆ GetStateSize()
| virtual int mfem::SecondOrderODESolver::GetStateSize |
( |
| ) |
|
|
inlinevirtual |
◆ GetStateVector() [1/2]
| virtual const Vector& mfem::SecondOrderODESolver::GetStateVector |
( |
int |
i | ) |
|
|
inlinevirtual |
◆ GetStateVector() [2/2]
| virtual void mfem::SecondOrderODESolver::GetStateVector |
( |
int |
i, |
|
|
Vector & |
state |
|
) |
| |
|
inlinevirtual |
◆ Init()
◆ Run()
| virtual void mfem::SecondOrderODESolver::Run |
( |
Vector & |
x, |
|
|
Vector & |
dxdt, |
|
|
double & |
t, |
|
|
double & |
dt, |
|
|
double |
tf |
|
) |
| |
|
inlinevirtual |
Perform time integration from time t [in] to time tf [in].
- Parameters
-
| [in,out] | x | Approximate solution. |
| [in,out] | dxdt | Approximate rate. |
| [in,out] | t | Time associated with the approximate solution x. |
| [in,out] | dt | Time step size. |
| [in] | tf | Requested final time. |
The default implementation makes consecutive calls to Step() until reaching tf. 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 initial time step size.
- 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 output value of t [out] is not smaller than tf [in].
Definition at line 683 of file ode.hpp.
◆ SetStateVector()
| virtual void mfem::SecondOrderODESolver::SetStateVector |
( |
int |
i, |
|
|
Vector & |
state |
|
) |
| |
|
inlinevirtual |
◆ Step()
| virtual void mfem::SecondOrderODESolver::Step |
( |
Vector & |
x, |
|
|
Vector & |
dxdt, |
|
|
double & |
t, |
|
|
double & |
dt |
|
) |
| |
|
pure 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.
Implemented in mfem::GeneralizedAlpha2Solver, and mfem::NewmarkSolver.
◆ mem_type
The documentation for this class was generated from the following files:
1.8.14