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Optimized Schwarz methods for the time-dependent Stokes-Darcy coupling
This 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.
Domain decomposition methods based on proper generalized decomposition for parametric heterogeneous problems
Engineering and Physical Sciences Research CouncilFind out more...
- Mathematical Sciences
Published inIMA Journal of Numerical Analysis
PublisherOxford University Press
- AM (Accepted Manuscript)
Rights holder© The Author(s)
Publisher statementThis 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.