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More pressure in the finite element discretization of the Stokes problem

Published online by Cambridge University Press:  15 April 2002

Christine Bernardi  and
Frédéric Hecht
Christine Bernardi
Affiliation:
Analyse Numérique, C.N.R.S. & Université Pierre et Marie Curie, B.C. 187, 4 place Jussieu, 75252 Paris Cedex 05, France. (bernardi@ann.jussieu.fr)
Frédéric Hecht
Affiliation:
Analyse Numérique, C.N.R.S. & Université Pierre et Marie Curie, B.C. 187, 4 place Jussieu, 75252 Paris Cedex 05, France. (bernardi@ann.jussieu.fr)
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Abstract

For the Stokes problem in a two- or three-dimensional bounded domain, we propose a new mixed finite element discretization which relies on a nonconforming approximation of the velocity and a more accurate approximation of the pressure. We prove that the velocity and pressure discrete spaces are compatible, in the sense that they satisfy an inf-sup condition of Babuška and Brezzi type, and we derive some error estimates.

Keywords

Finite elementsStokes probleminf-sup conditiondivergence-free basis functions.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 34 , Issue 5 , September 2000 , pp. 953 - 980
Copyright
© EDP Sciences, SMAI, 2000

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