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|Title: ||Robin-Robin domain decomposition methods for the Stokes-Darcy coupling|
|Authors: ||Discacciati, Marco|
|Keywords: ||Stokes and Darcy equations|
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.|
|Publisher Link: ||http://dx.doi.org/10.1137/06065091X|
|Appears in Collections:||Published Articles (Maths)|
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