Discacciati_GerardoGiorda_MS15.pdf (298.18 kB)
Is minimizing the convergence rate a good choice for efficient Optimized Schwarz preconditioning in heterogeneous coupling? The Stokes-Darcy case
chapterposted on 2018-02-12, 10:50 authored by Marco DiscacciatiMarco Discacciati, Luca Gerardo-Giorda
Optimized Schwarz Methods (OSM) are domain decomposition techniques based on Robin-type interface condition that have became increasingly popular in the last two decades. Ensuring convergence also on non-overlapping decompositions, OSM are naturally advocated for the heterogeneous coupling of multiphysics problems. Classical approaches optimize the coefficients in the Robin condition by minimizing the effective convergence rate of the resulting iterative algorithm. However, when OSM are used as preconditioners for Krylov solvers of the resulting interface problem, such parameter optimization does not necessarily guarantee the fastest convergence. This drawback is already known for homogeneous decomposition, but in the case of heterogeneous decomposition, the poor performance of the classical optimization approach becomes utterly evident. In this paper, we highlight this drawback for the Stokes/Darcy problem and we propose a more effective alternative optimization procedure.
- Mathematical Sciences
Published inDomain Decomposition Methods in Science and Engineering XXIV
CitationDISCACCIATI, M. and GERARDO-GIORDA, L., 2018. Is minimizing the convergence rate a good choice for efficient Optimized Schwarz preconditioning in heterogeneous coupling? The Stokes-Darcy case. IN: Bjorstad, P.E. ... et al (eds). Domain Decomposition Methods in Science and Engineering XXIV, Berlin: Springer, pp. 233-241.
- AM (Accepted Manuscript)
Publisher statementThe final authenticated version is available online at https://doi.org/10.1007/978-3-319-93873-8.
NotesThis paper was presented at the twenty-fourth International Domain Decomposition Conference, held in Spitsbergen, Svalbard, Norway, in February 2017.
Book seriesLecture Notes in Computational Science and Engineering;125