A performance comparison of classical volume and new substructured one-and two-level Schwarz methods in PETSc - CEA - Commissariat à l’énergie atomique et aux énergies alternatives Access content directly
Journal Articles Lecture Notes in Computational Science and Engineering Year : 2024

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].
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Dates and versions

cea-04295510 , version 1 (20-11-2023)

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  • HAL Id : cea-04295510 , version 1

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Gabriele Ciaramella, Martin J. Gander, Serge Van Criekingen, Tommaso Vanzan. A performance comparison of classical volume and new substructured one-and two-level Schwarz methods in PETSc. Lecture Notes in Computational Science and Engineering, 2024, Domain Decomposition Methods in Science and Engineering XXVII. isbn:978-3-031-50768-7, 149, pp.133-140. ⟨cea-04295510⟩
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