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Optimized Schwarz methods for the time-dependent Stokes-Darcy coupling

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journal contribution
posted on 2023-11-08, 12:11 authored by Marco DiscacciatiMarco Discacciati, Tommaso Vanzan

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.

Funding

Domain decomposition methods based on proper generalized decomposition for parametric heterogeneous problems

Engineering and Physical Sciences Research Council

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History

School

  • Science

Department

  • Mathematical Sciences

Published in

IMA Journal of Numerical Analysis

Publisher

Oxford University Press

Version

  • VoR (Version of Record)

Rights holder

© The Author(s)

Publisher statement

This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0/), which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.

Acceptance date

2023-06-17

Publication date

2023-08-05

Copyright date

2023

ISSN

0272-4979

eISSN

1464-3642

Language

  • en

Depositor

Dr Marco Discacciati. Deposit date: 19 June 2023

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