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Title: Robin-Robin domain decomposition methods for the Stokes-Darcy coupling
Authors: Discacciati, Marco
Quarteroni, Alfio
Valli, Alberto
Keywords: Stokes and Darcy equations
Domain decomposition
Robin interface condition
Finite element approximation
Issue Date: 2007
Publisher: © Society for Industrial and Applied Mathematics (SIAM)
Citation: DISCACCIATI, M., QUARTERONI, A. and VALLI, A., 2007. Robin-Robin domain decomposition methods for the Stokes-Darcy coupling. SIAM Journal on Numerical Analysis, 45 (3), pp.1246-1268.
Abstract: In this paper we consider a coupled system made of the Stokes and Darcy equations, and we propose some iteration-by-subdomain methods based on Robin conditions on the interface. We prove the convergence of these algorithms, and for suitable finite element approximations we show that the rate of convergence is independent of the mesh size h. Special attention is paid to the optimization of the performance of the methods when both the kinematic viscosity ν of the fluid and the hydraulic conductivity tensor K of the porous medium are very small.
Description: First Published in SIAM Journal on Numerical Analysis, published by the Society of Industrial and Applied Mathematics (SIAM). Copyright © 2007 Society for Industrial and Applied Mathematics. Unauthorized reproduction of this article is prohibited.
Version: Published
DOI: 10.1137/06065091X
URI: https://dspace.lboro.ac.uk/2134/18739
Publisher Link: http://dx.doi.org/10.1137/06065091X
ISSN: 0036-1429
Appears in Collections:Published Articles (Maths)

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