[petsc-users] Does petsc4py support matrix-free iterative solvers?

[Eric Hester]

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
>> 
>> 
>