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Article
Robin-Robin Domain Decomposition Methods for the Steady-State Stokes-Darcy System with the Beavers-Joseph Interface Condition
Numerische Mathematik
  • Yanzhao Cao
  • Max Gunzburger
  • Xiaoming He, Missouri University of Science and Technology
  • Xiaoming Wang
Abstract

Domain 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 Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2011 Springer Verlag, All rights reserved.
Publication Date
4-1-2011
Citation Information
Yanzhao 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/