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On the long-time stability of the implicit Euler scheme for the two-dimensional Navier-Stokes equations

Tone, F.; Wirosoetisno, D.

On the long-time stability of the implicit Euler scheme for the two-dimensional Navier-Stokes equations Thumbnail


Authors

F. Tone



Abstract

In this paper we study the stability for all positive time of the fully implicit Euler scheme for the two-dimensional Navier--Stokes equations. More precisely, we consider the time discretization scheme and with the aid of the discrete Gronwall lemma and the discrete uniform Gronwall lemma we prove that the numerical scheme is stable.

Citation

Tone, F., & Wirosoetisno, D. (2006). On the long-time stability of the implicit Euler scheme for the two-dimensional Navier-Stokes equations. SIAM Journal on Numerical Analysis, 44(1), 29-40. https://doi.org/10.1137/040618527

Journal Article Type Article
Online Publication Date Jan 1, 2006
Publication Date Jan 1, 2006
Deposit Date Aug 29, 2008
Publicly Available Date Aug 29, 2008
Journal SIAM Journal on Numerical Analysis
Print ISSN 0036-1429
Electronic ISSN 1095-7170
Publisher Society for Industrial and Applied Mathematics
Peer Reviewed Peer Reviewed
Volume 44
Issue 1
Pages 29-40
DOI https://doi.org/10.1137/040618527
Keywords Navier--Stokes equations, Discrete Gronwall lemmas, Implicit Euler scheme.

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Copyright Statement
©2006 Society for Industrial and Applied Mathematics




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