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

Yingzhi Liu, Yassine Boubendir, Xiaoming He, Yinnian He

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish (US)
JournalSIAM Journal on Scientific Computing
Volume44
Issue number4
DOIs
StatePublished - 2022

All Science Journal Classification (ASJC) codes

  • Computational Mathematics
  • Applied Mathematics

Keywords

  • domain decomposition methods
  • Krylov solvers
  • modal analysis
  • optimized Schwarz methods
  • Robin interface conditions
  • Stokes−Darcy system

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