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Approximation of the arch problem by residual-free bubbles

Published online by Cambridge University Press:  15 April 2002

A. Agouzal  and
M. El Alami El Ferricha
A. Agouzal
Affiliation:
Université Lyon 1, L.A.N., bâtiment 101, boulevard du 11 novembre 1918, 69622 Villeurbanne Cedex, France.
M. El Alami El Ferricha
Affiliation:
École Normale Supérieure, Fès, Département de Mathématiques et Informatique, BP 5206, Bensouda, Fès, Morocco. (elferrida@caramail.com)
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Abstract

We consider a general loaded arch problem with a small thickness. To approximate the solution of this problem, a conforming mixed finite element method which takes into account an approximation of the middle line of the arch is given. But for a very small thickness such a method gives poor error bounds. the conforming Galerkin method is then enriched with residual-free bubble functions.

Keywords

Mixed methodLagrange multipliersconforming approximationsresidual-free-bubble.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 35 , Issue 2 , March 2001 , pp. 271 - 293
Copyright
© EDP Sciences, SMAI, 2001

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