@article{ed1b8217e32f4201859568d4bb479f7b,
title = "NEW OPTIMIZED ROBIN−ROBIN DOMAIN DECOMPOSITION METHODS USING KRYLOV SOLVERS FOR THE STOKES−DARCY SYSTEM",
abstract = "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.",
keywords = "domain decomposition methods, Krylov solvers, modal analysis, optimized Schwarz methods, Robin interface conditions, Stokes−Darcy system",
author = "Yingzhi Liu and Yassine Boubendir and Xiaoming He and Yinnian He",
note = "Funding Information: \ast Submitted to the journal's Computational Methods in Science and Engineering section May 3, 2021; accepted for publication (in revised form) April 14, 2022; published electronically August 22, 2022. https://doi.org/10.1137/21M1417223 \bfF \bfu \bfn \bfd \bfi \bfn \bfg : The work of the second author was supported by the NSF through grants DMS-1720014 and DMS-2011843. The work of the third author was supported by the NSF through grant DMS-1722647. \dagger Department of Mathematics, University of Macau, Macau, People's Republic of China (yingzhiliu@um.edu.mo). \ddagger Department of Mathematical Sciences and Center for Applied Mathematics and Statistics, New Jersey Institute of Technology, University Heights, Newark, NJ 07102 USA (boubendi@njit.edu). \S Department of Mathematics and Statistics, Missouri University of Science and Technology, Rolla, MO 65409 USA (hex@mst.edu). \P School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, 710049, People's Republic of China (heyn@mail.xjtu.edu.cn). Publisher Copyright: {\textcopyright} 2022 Society for Industrial and Applied Mathematics.",
year = "2022",
doi = "10.1137/21M1417223",
language = "English (US)",
volume = "44",
journal = "SIAM Journal on Scientific Computing",
issn = "1064-8275",
publisher = "Society for Industrial and Applied Mathematics Publications",
number = "4",
}