Robin-Robin Domain Decomposition Methods for the Steady-State Stokes-Darcy System with the Beavers-Joseph Interface ConditionNumerische Mathematik
AbstractDomain decomposition methods for solving the coupled Stokes-Darcy system with the Beavers-Joseph interface condition are proposed and analyzed. Robin boundary conditions are used to decouple the Stokes and Darcy parts of the system. Then, parallel and serial domain decomposition methods are constructed based on the two decoupled sub-problems. Convergence of the two methods is demonstrated and the results of computational experiments are presented to illustrate the convergence.
Department(s)Mathematics and Statistics
Sponsor(s)National Science Foundation (U.S.)
Keywords and Phrases
- beavers-joseph interface,
- robin-robin domain,
- stokes-darcy system
Document TypeArticle - Journal
Rights© 2011 Springer Verlag, All rights reserved.
Citation InformationYanzhao Cao, Max Gunzburger, Xiaoming He and Xiaoming Wang. "Robin-Robin Domain Decomposition Methods for the Steady-State Stokes-Darcy System with the Beavers-Joseph Interface Condition" Numerische Mathematik (2011)
Available at: http://works.bepress.com/xiaoming-he/41/