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Convergence of a finite element discretization of the Navier-Stokes equations in vorticity and stream function formulation

Published online by Cambridge University Press:  15 August 2002

Mohamed Amara  and
Christine Bernardi
Mohamed Amara
Affiliation:
IPRA - LMA (UPRESA 5033 du CNRS), Université de Pau, avenue de l'Université, 64000 Pau, France.
Christine Bernardi
Affiliation:
Analyse Numérique, CNRS and Université Pierre et Marie Curie, B.C. 187, 4 place Jussieu, 75252 Paris Cedex 05, France.
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Abstract

The standard discretization of the Stokes and Navier–Stokes equations in vorticity and stream function formulation by affine finite elements is known for its bad convergence. We present here a modified discretization, we prove that the convergence is improved and we establish a priori error estimates.

Keywords

Navier–Stokes equationsfinite elements.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 33 , Issue 5 , September 1999 , pp. 1033 - 1056
Copyright
© EDP Sciences, SMAI, 1999

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