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An error estimate for finite volume methods for the Stokes equations on equilateral triangular meshes

✍ Scribed by Philippe Blanc; Robert Eymard; Raphaèle Herbin

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
107 KB
Volume
20
Category
Article
ISSN
0749-159X

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✦ Synopsis

Abstract

We give here an error estimate for a finite volume discretization of the Stokes equations in two space dimensions on equilateral triangular meshes. This work was initiated by an analogous result presented by Alami‐Idrissi and Atounti for general triangular meshes. However, in this latter article, the result is not actually proven. We state here the restricting assumptions (namely equilateral triangles) under which the error estimate holds, using the tools which were introduced by Eymard, Gallouet and Herbin and used by Alami‐Idrissi and Atounti. © 2004 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2004

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