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Robin-Robin domain decomposition methods for the Stokes-Darcy coupling

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journal contribution
posted on 14.09.2015, 10:23 by Marco Discacciati, Alfio Quarteroni, Alberto Valli
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.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

SIAM J. Numerical Analysis

Volume

45

Pages

1246 - 1268

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.

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

2007

Notes

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

0036-1429

eISSN

1095-7170

Language

en

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