A performance comparison of classical volume and new substructured one-and two-level Schwarz methods in PETSc
Abstract
Substructured Schwarz methods are interpretations of volume Schwarz methods as
algorithms on interface variables. We compare here the Parallel Schwarz Method
(PSM, equivalent to RAS) in volume to the new substructured version of PSM in
[GH12, p.24] and recently extended to a two-level (i.e. coarse-corrected) framework
in [CV22b] and [CV22a], using a geometric and spectral approach for the definition
of the coarse space. The expected gain of substructured methods is due to the smaller
size of the resulting problems, notably with Krylov-type acceleration techniques
when the dimension of the subspace of approximants becomes large [Saa03].
Domains
Numerical Analysis [math.NA]Origin | Files produced by the author(s) |
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