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- Publisher
- Oxford University Press
- Copyright
- Copyright © 2015 Institute of Mathematics and its Applications
- ISSN
- 0272-4979
- eISSN
- 1464-3642
- DOI
- 10.1093/imanum/20.4.633
- Publisher site
- See Article on Publisher Site
Abstract
This paper considers the asymptotic behaviour of a practical numerical approximation of the Navier–Stokes equations in Ω, a bounded subdomain of 2 . The scheme consists of a conforming finite element spatial discretization, combined with an order-preserving linearly implicit implementation of the second-order BDF method. It is shown that the method possesses a compact global attractor, which is upper semicontinuous with respect to the attractor of the underlying system in H 1 (Ω). The proofs employ the techniques of G-stability, discrete Sobolev estimates for the Stokes operator similar to those of Heywood and Rannacher, semigroups of linear operators and attractor convergence theory in the context of multistep methods. Received 14 December, 1998. Revised 13 September, 1999. Copyright 2000 « Previous | Next Article » Table of Contents This Article IMA J Numer Anal (2000) 20 (4): 633-667. doi: 10.1093/imanum/20.4.633 » Abstract Free Full Text (PDF) Free Classifications Paper Services Article metrics Alert me when cited Alert me if corrected Find similar articles Similar articles in Web of Science Add to my archive Download citation Request Permissions Citing Articles Load citing article information Citing articles via CrossRef Citing articles via Scopus Citing articles via Web of Science Citing articles via Google Scholar Google Scholar Articles by Hill, A. T. Articles by Süli, E. Search for related content Related Content Load related web page information Share Email this article CiteULike Delicious Facebook Google+ Mendeley Twitter What's this? Search this journal: Advanced » Current Issue October 2015 35 (4) Alert me to new issues The Journal About this journal Rights & Permissions Dispatch date of the next issue Conflict of Interest Policy We are mobile – find out more This journal is a member of the Committee on Publication Ethics (COPE) Journals Career Network Published on behalf of The Institute of Mathematics and its Applications Impact factor: 1.698 5-Yr impact factor: 1.793 Editors A Iserles E. 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Journal
IMA Journal of Numerical Analysis – Oxford University Press
Published: Oct 1, 2000