Multigrid methods with PSTS- and HSS-smoothers for solving the unsteady Navier-Stokes equations

DOI10.33048/semi.2020.17.145zbMath1458.65123OpenAlexW3197226867MaRDI QIDQ2227037

Galina V. Muratova, Zeng-Qi Wang, V. V. Bavin, Evgeniya M. Andreeva, Tatiana S. Martynova

Publication date: 9 February 2021

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33048/semi.2020.17.145

zbMATH Keywords

incompressible Navier-Stokes equationsmultigrid methodsHermitian/skew-Hermitian splitting methods

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Navier-Stokes equations (35Q30) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Preconditioners for iterative methods (65F08)

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Cites Work

• The MAC method
• Algebraic multigrid (AMG): Experiences and comparisons
• Product-type skew-Hermitian triangular splitting iteration methods for strongly non-Hermitian positive definite linear systems
• Skew-Hermitian triangular splitting iteration methods for non-Hermitian positive definite linear systems of strong skew-Hermitian parts
• Multigrid convergence for nonsymmetric, indefinite variational problems and one smoothing step
• On inexact Hermitian and skew-Hermitian splitting methods for non-Hermitian positive definite linear systems
• Start-up flows in a three-dimensional rectangular driven cavity of aspect ratio 1:1:2 at Re = 1000
• Geometric multigrid with applications to computational fluid dynamics
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