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. © 2011 Society for Industrial and Applied Mathematics.
W. Chen et al., "A Parallel Robin-Robin Domain Decomposition Method for the Stokes-Darcy System," SIAM Journal on Numerical Analysis, vol. 49, no. 3, pp. 1064 - 1084, Society for Industrial and Applied Mathematics, Jul 2011.
The definitive version is available at https://doi.org/10.1137/080740556
Mathematics and Statistics
Keywords and Phrases
Geometric Convergence; Robin-Robin Domain Decomposition; Stokes and Darcy Equations
International Standard Serial Number (ISSN)
Article - Journal
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21 Jul 2011