[petsc-users] Does petsc4py support matrix-free iterative solvers?
Eric Hester
eric.w.hester at icloud.com
Tue Mar 14 11:45:00 CDT 2023
Is there a similar example of how to create shell preconditioners using petsc4py?
Thanks,
Eric
> On Mar 13, 2023, at 09:37, Eric Hester <eric.w.hester at icloud.com> wrote:
>
> Ah ok. I see how the poisson2d example works. Thanks for the quick reply.
>
> Eric
>
>> On Mar 13, 2023, at 08:10, Jose E. Roman <jroman at dsic.upv.es> wrote:
>>
>> Both ode/vanderpol.py and poisson2d/poisson2d.py use shell matrices via a mult(self,mat,X,Y) function defined in the python side. Another example is ex3.py in slepc4py.
>>
>> Jose
>>
>>
>>
>>> El 13 mar 2023, a las 15:58, Eric Hester via petsc-users <petsc-users at mcs.anl.gov> escribió:
>>>
>>> Hello everyone,
>>>
>>> Does petsc4py support matrix-free iterative solvers (as for Matrix-Free matrices in petsc)?
>>>
>>> For context, I have a distributed matrix problem to solve. It comes from a Fourier-Chebyshev Galerkin discretisation. The corresponding matrix is dense, but it is fast to evaluate using fftw. It is also distributed in memory.
>>>
>>> While I’ve found some petsc4py tutorial examples in "/petsc/src/binding/petsc4py/demo/“, they don’t seem to show a matrix free example. And I don’t see a reference to a matrix shell create method in the petsc4py api.
>>>
>>> If petsc4py does support matrix free iterative solvers, it would be really helpful if someone could provide even a toy example of that. Serial would work, though a parallelised one would be better.
>>>
>>> Thanks,
>>> Eric
>>>
>>>
>>
>
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