Would the order be inferred by the number of vectors in TSBDFSetStepVecs(TS ts, 
PetscInt num_steps, const PetscReal *times, const Vec *vecs)?

"Zhang, Hong" <[email protected]> writes:

> It is clear to me now. You need TSBDFGetStepVecs(TS ts, PetscInt *num_steps, 
> const PetscReal **times, const Vec *vecs) as Jed suggested so that you can 
> access the work vectors for TSBDF. In addition, you need to save the step 
> size and the current order to jumpstart BDF (without starting from BDF-1). 
> Setting the step size is straightforward with TSSetTimeStep(). To 
> access/recover the order, you need something like 
> TSBDF{Set|Get}CurrentOrder(TS ts, PetscInt **order).
>
> Thanks,
> Hong (Mr.)
>
> On Mar 10, 2022, at 11:35 AM, Alfredo J Duarte Gomez 
> <[email protected]<mailto:[email protected]>> wrote:
>
> Hello,
>
> The solutions y_n and y_n-1 are the same ones as those saved internally for 
> the BDF-2.
>
> The practical problem is for example: run a simulation with a BDF-2 for 10 
> hrs, see that everything looks good and decide that this simulation is worth 
> continuing for another 10 hrs. Except now when I start from that last 
> solution, the TSBDF starts from a single solution and steps its way up to the 
> BDF-2 (numerical noise appears), instead of simply being able to load the 
> last two solutions from my HDF5 output file and continue as if it had not 
> stopped.
>
> Maybe I confused you by referencing the TSBDF_Restart, instead of the 
> "starting" procedure for higher order BDFs, I thought they were the same but 
> maybe not.
>
> Thank you,
>
> -Alfredo
>
>
>
> On Thu, Mar 10, 2022 at 11:04 AM Zhang, Hong 
> <[email protected]<mailto:[email protected]>> wrote:
>
>
> On Mar 10, 2022, at 10:05 AM, Alfredo J Duarte Gomez 
> <[email protected]<mailto:[email protected]>> wrote:
>
> Hello Zhang and Hong,
>
> Thank you for your reply.
>
> As I described, I simply wanted to be able to restart a higher order BDF from 
> a previous solution.
>
> For example, if I want to restart a BDF-2 solution I can simply load times (n 
> is current time step ) t_n-1, t_n, load solutions y_n, and yn-1 from a 
> restart file and continue integration with a BDF-2 formula as if it never 
> stopped.
>
> Are y_n and yn-1 from the restart file different from the states saved 
> internally for BDF-2? Are you trying to modify these states yourself? A 
> restart is needed typically when you have discontinuities in the system, so 
> the solutions before the discontinuity point have to be discarded. If you 
> simply want to modify the states, there should be better ways than using 
> checkpoint-restart.
>
> Hong (Mr.)
>
>
>
> This would replace the current default approach, which starts from a single 
> time tn, solution yn and uses lower order BDF steps as you build up to the 
> selected order.
>
> I am not sure why, but an abrupt change in integration order or time step 
> leads to unwanted numerical noise in my solution, which I blame on the high 
> nonlinearity of the system (I have tested extensively to rule out bugs).
>
> Thank you and let me know if you have any questions,
>
> -Alfredo
>
> On Wed, Mar 9, 2022 at 4:49 PM Zhang, Hong 
> <[email protected]<mailto:[email protected]>> wrote:
> TSTrajectory supports checkpointing for multistage methods and can certainly 
> be extended to multistep methods. But I doubt it is the best solution to 
> Alfredo’s problem. Alfredo, can you elaborate a bit on what you would like to 
> do? TSBDF_Restart is already using the previous solution to restart the 
> integration with first-order BDF.
>
> Hong(Mr.)
>
>> On Mar 9, 2022, at 4:24 PM, Jed Brown 
>> <[email protected]<mailto:[email protected]>> wrote:
>>
>> Can you restart using small low-order steps?
>>
>> Hong, does (or should) your trajectory stuff support an exact checkpointing 
>> scheme for BDF?
>>
>> I think we could add an interface to access the stored steps, but there are 
>> few things other than checkpointing that would make sense mathematically. 
>> Would you be up for making a merge request to add TSBDFGetStepVecs(TS ts, 
>> PetscInt *num_steps, const PetscReal **times, const Vec *vecs) and the 
>> respective setter?
>>
>> Alfredo J Duarte Gomez <[email protected]<mailto:[email protected]>> 
>> writes:
>>
>>> Good morning PETSC team,
>>>
>>> I am currently using a TSBDF object, which is working very well.
>>>
>>> However, I am running into trouble restarting higher order BDF methods.
>>>
>>> My problem is highly nonlinear, and when restarted for higher order BDF
>>> methods (using the TSBDF_Restart function), wiggles appear in a specific
>>> region of the solution.
>>>
>>> Is there any way I can initialize the higher order BDF restart loading
>>> previous solutions from a data file? I took a look at the code, but there
>>> is no obvious way to do this.
>>>
>>> Thanks,
>>>
>>> -Alfredo
>>>
>>> --
>>> Alfredo Duarte
>>> Graduate Research Assistant
>>> The University of Texas at Austin
>
>
>
> --
> Alfredo Duarte
> Graduate Research Assistant
> The University of Texas at Austin
>
>
>
> --
> Alfredo Duarte
> Graduate Research Assistant
> The University of Texas at Austin

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