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Optimized Schwarz methods for the time-dependent Stokes-Darcy coupling
journal contribution
posted on 2023-06-22, 10:16 authored by Marco DiscacciatiMarco Discacciati, Tommaso VanzanThis paper derives optimized coefficients for optimized Schwarz iterations for the time-dependent Stokes–Darcy problem using an innovative strategy to solve a nonstandard min-max problem. The coefficients take into account both physical and discretization parameters that characterize the coupled problem, and they guarantee the robustness of the associated domain decomposition method. Numerical results validate the proposed approach in several test cases with physically relevant parameters.
Funding
Domain decomposition methods based on proper generalized decomposition for parametric heterogeneous problems
Engineering and Physical Sciences Research Council
Find out more...History
School
- Science
Department
- Mathematical Sciences
Published in
IMA Journal of Numerical AnalysisPublisher
Oxford University PressVersion
- AM (Accepted Manuscript)
Rights holder
© The Author(s)Publisher statement
This is a pre-copyedited, author-produced PDF of an article accepted for publication in IMA Journal of Numerical Analysis following peer review. The version of record Marco Discacciati , Tommaso Vanzan, Optimized Schwarz methods for the time-dependent Stokes–Darcy coupling, IMA Journal of Numerical Analysis, 2023;, drad057, https://doi.org/10.1093/imanum/drad057 is available online at: https://doi.org/10.1093/imanum/drad057.Acceptance date
2023-06-17Publication date
2023-08-05Copyright date
2023ISSN
0272-4979eISSN
1464-3642Publisher version
Language
- en
