NEW OPTIMIZED ROBIN−ROBIN DOMAIN DECOMPOSITION METHODS USING KRYLOV SOLVERS FOR THE STOKES−DARCY SYSTEM

Document Type

Article

Publication Date

1-1-2022

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.

Identifier

85140078467 (Scopus)

Publication Title

SIAM Journal on Scientific Computing

External Full Text Location

https://doi.org/10.1137/21M1417223

e-ISSN

10957197

ISSN

10648275

Issue

4

Volume

44

Grant

DMS-1720014

Fund Ref

National Science Foundation

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