Abstract
We propose a finite element discretization of a problem issued from the fictitious domain technique. We prove a priori error estimates for the discrete problem and present numerical experiments which are in good agreement with the analysis.
Editor-in-Chief: Hoppe, Ronald H. W. / Kuznetsov, Yuri
Editorial Board Member: Carstensen, Carsten / Chen, Zhangxin / Dryja, M. / Feistauer, Miloslav / Glowinski, R. / Hackbusch, Wolfgang H.C. / Langer, Ulrich / Lazarov, Raytcho / Neittaanmaki, P. / Pironneau, O. / Quarteroni, Alfio / Rannacher, Rolf / Shi, Zhong-ci / Tyrtyshnikov, Eugene E. / Widlund, O. / Zou, Jun / Axelsson, Owe / Bjorstad, Petter E. / Kawarada, Hideo
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A finite element problem issued from fictitious domain techniques
1*Analyse Numérique, C.N.R.S. & Université Pierre et Marie Curie, B.C. 187, 4 place Jussieu, 75252 Paris Cedex 05, France
†Institute of Applied Mathematics, Chiba University, 1-33 Yayoicho, Inageku, 263-8522 Chiba, Japan
Citation Information: Journal of Numerical Mathematics. Volume 9, Issue 4, Pages 253–263, ISSN (Online) 1569-3953, ISSN (Print) 1570-2820, DOI: 10.1515/JNMA.2001.253, November 2010
Publication History:
- Received:
- 2001-06-18
- Revised:
- 2001-11-07
- Published Online:
- 2010-11-15
Keywords:: Navier–Stokes equations; finite elements
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