A Parallel Robin-Robin Domain Decomposition Method for the Stokes-Darcy System

Authors:
Wenbin Chen;Max Gunzburger;Fei Hua;Xiaoming Wang
Affiliations:
wbchen@fudan.edu.cn;gunzburg@fsu.edu;fhua@math.fsu.edu and wxm@math.fsu.edu;-
Venue:
SIAM Journal on Numerical Analysis
Year:
2011

Citing 19
Cited 2

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Abstract

We propose a new parallel Robin-Robin domain decomposition method for the coupled Stokes-Darcy system with Beavers-Joseph-Saffman-Jones interface boundary condition. In particular, we prove that, with an appropriate choice of parameters, the scheme converges geometrically independent of the mesh size.