New Optimized Robin−robin Domain Decomposition Methods using Krylov Solvers for the Stokes−darcy System
In this paper, we are interested in the design of optimized Schwarz domain decomposition algorithms to accelerate the Krylov type solution for the Stokes−Darcy system. We use particular solutions of this system on a circular geometry to analyze the iteration operator mode by mode. We introduce a new optimization strategy of the so-called Robin parameters based on a specific linear relation between these parameters, using the min-max and the expectation minimization approaches. Moreover, we use a Krylov solver to deal with the iteration operator and accelerate this new optimized domain decomposition algorithm. Several numerical experiments are provided to validate the effectiveness of this new method.
Y. Liu et al., "New Optimized Robin−robin Domain Decomposition Methods using Krylov Solvers for the Stokes−darcy System," SIAM Journal on Scientific Computing, vol. 44, no. 4, Society for Industrial and Applied Mathematics, Jan 2022.
The definitive version is available at https://doi.org/10.1137/21M1417223
Mathematics and Statistics
Keywords and Phrases
domain decomposition methods; Krylov solvers; modal analysis; optimized Schwarz methods; Robin interface conditions; Stokes−Darcy system
International Standard Serial Number (ISSN)
Article - Journal
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01 Jan 2022
National Science Foundation, Grant DMS-1720014