Robin-Robin Domain Decomposition Methods for the Steady-State Stokes-Darcy System with the Beavers-Joseph Interface Condition
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.
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 http://dx.doi.org/10.1007/s00211-011-0361-8
Mathematics and Statistics
National Science Foundation (U.S.)
Keywords and Phrases
beavers-joseph interface; robin-robin domain; stokes-darcy system
Article - Journal
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