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Download fileOptimized Schwarz methods for the Stokes-Darcy coupling
journal contribution
posted on 2017-09-01, 12:21 authored by Marco DiscacciatiMarco Discacciati, Luca Gerardo-GiordaThis paper studies Optimized Schwarz methods for the Stokes-Darcy problem. Robin transmission conditions are introduced and the coupled problem is reduced to a suitable interface system that can be solved using Krylov methods. Practical strategies to compute optimal Robin coefficients are proposed which take into account both the physical parameters of the problem and the mesh size. Numerical results show the effectiveness of our approach.
Funding
The first author acknowledges partial funding from the European Union Seventh Framework Programme (FP7/2007-2013) under grand agreement no. 294229. The second author acknowledges the support from the Basque Government through the BERC 2014-2017 program, and from the Spanish Ministry of Economics and Competitiveness MINECO through the BCAM Severo Ochoa excellence accreditation SEV-2013-0323
History
School
- Science
Department
- Mathematical Sciences
Published in
IMA Journal of Numerical AnalysisVolume
38Issue
4Pages
1959–1983Citation
DISCACCIATI, M. and GERARDO-GIORDO, L., 2017. Optimized Schwarz methods for the Stokes-Darcy coupling. IMA Journal of Numerical Analysis, 38 (4), pp.1959–1983.Publisher
© The author 2017. Published by Oxford University Press on behalf of the Institute of Mathematics and its ApplicationsVersion
- AM (Accepted Manuscript)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Acceptance date
2017-07-31Publication date
2017-09-11Copyright date
2018Notes
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 DISCACCIATI, M. and GERARDO-GIORDO, L., 2017. Optimized Schwarz methods for the Stokes-Darcy coupling. IMA Journal of Numerical Analysis, 38 (4), pp.1959–1983 is available online at: https://doi.org/10.1093/imanum/drx054.ISSN
1464-3642Publisher version
Language
- en