Petsc ASPIN solver

[andrembcosta]

Hi there,

I came across a paper where an Additive Schwartz nonlinear preconditioner is used for phase-field fracture problems and it seems to work quite well. Apparently, this type of nonlinear preconditioner already exists in petsc. (https://petsc.org/release/docs/manualpages/SNES/SNESASPIN.html)

Has someone used this specific solver within moose? I am interested in trying it out, but I couldn't find an example with the syntax on how to define the blocks and how to modify the residual computation (to account for the nonlinear preconditioner).

I just observed that the author of the paper asked this question in early 2019 (https://groups.google.com/g/moose-users/c/w19VwqHtspU/m/cvzpirFABQAJ).

paper: https://www.researchgate.net/publication/359439046_Nonlinear_Field-split_Preconditioners_for_Solving_Monolithic_Phase-field_Models_of_Brittle_Fracture

[hugary1995]

@andrembcosta could you also post the link to that paper here? I'm also interested in using this solver.

[andrembcosta]

https://www.researchgate.net/publication/359439046_Nonlinear_Field-split_Preconditioners_for_Solving_Monolithic_Phase-field_Models_of_Brittle_Fracture

[lindsayad]

I'll mention @fdkong here in case he wants to chime in. Otherwise hopefully I can weigh-in with a more informed answer in not too long

[lindsayad]

so I think that supporting ASPIN is definitely possible. Doing it in the way that is done in the paper you linked will probably be much easier after #22226 is complete as that will provide a very straightforward way to define subproblems based on variables. Note that I have created #22239 to keep track of progress made on supporting ASPIN