Algebraic and Two-Level Parallel Substructured Schwarz Methods
Keywords
Advanced Numerical Methods for Scientific Computing
Code:
60/2026
Title:
Algebraic and Two-Level Parallel Substructured Schwarz Methods
Date:
Wednesday 1st July 2026
Author(s):
Ciaramella, G.; Gander, M.J.; Van Criekingen, S.; Vanzan, T.
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Abstract:
Substructured Schwarz methods are interpretations of classical volume Schwarz methods as algorithms on interface variables. We introduce here a new parallel algebraic trace characterization to supersede the
geometric identification of the substructure within our petscs-based implementation of the parallel Schwarz method (equivalent to RAS).
We moreover consider a two-level substructured method with coarse space functions defined exclusively on the skeleton, and propose an additive version of the two-level preconditioner which significantly decreases the computing time. Weak scaling numerical results up to several thousands of CPU cores (one per subdomain) are presented
for the one- and two-level methods, comparing substructured and classical volume methods.
This report, or a modified version of it, has been also submitted to, or published on
Proceeding of the 29th International Conference on Domain Decomposition Methods.
Proceeding of the 29th International Conference on Domain Decomposition Methods.