DQV_SINUM_2007.pdf (250.9 kB)
Robin-Robin domain decomposition methods for the Stokes-Darcy coupling
journal contribution
posted on 2015-09-14, 10:23 authored by Marco DiscacciatiMarco Discacciati, Alfio Quarteroni, Alberto ValliIn 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.
History
School
- Science
Department
- Mathematical Sciences
Published in
SIAM J. Numerical AnalysisVolume
45Pages
1246 - 1268Citation
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.Publisher
© Society for Industrial and Applied Mathematics (SIAM)Version
- VoR (Version of Record)
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/Publication date
2007Notes
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.ISSN
0036-1429eISSN
1095-7170Publisher version
Language
- en