Robin-Robin Domain Decomposition Methods for the Steady-State Stokes-Darcy System with the Beavers-Joseph Interface Condition

Author

Yanzhao Cao
Max Gunzburger
Xiaoming He, Missouri University of Science and TechnologyFollow
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.

Recommended Citation

Y. Cao et al., "Robin-Robin Domain Decomposition Methods for the Steady-State Stokes-Darcy System with the Beavers-Joseph Interface Condition," Numerische Mathematik, Springer Verlag, Apr 2011.

The definitive version is available at https://doi.org/10.1007/s00211-011-0361-8

Department(s)

Mathematics and Statistics

Sponsor(s)

National Science Foundation (U.S.)

Keywords and Phrases

beavers-joseph interface; robin-robin domain; stokes-darcy system

International Standard Serial Number (ISSN)

0029-599X

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2011 Springer Verlag, All rights reserved.

Publication Date

01 Apr 2011