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Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/26328

Title: Optimized Schwarz methods for the Stokes-Darcy coupling
Authors: Discacciati, Marco
Gerardo-Giorda, Luca
Keywords: Stokes-Darcy coupling
Domain decomposition methods
Optimized Schwarz methods
Robin interface conditions
Issue Date: 2017
Publisher: © The author 2017. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications
Citation: DISCACCIATI, M. and GERARDO-GIORDO, L., 2017. Optimized Schwarz methods for the Stokes-Darcy coupling. IMA Journal of Numerical Analysis, doi: 10.1093/imanum/drx054
Abstract: This 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.
Description: This paper is in closed access until 12 months after publication.
Sponsor: 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
Version: Accepted for publication
URI: https://dspace.lboro.ac.uk/2134/26328
Publisher Link: https://doi.org/10.1093/imanum/drx054
ISSN: 1464-3642
Appears in Collections:Closed Access (Maths)

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