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conforming approximations

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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Approximation of the arch problem by residual-free bubbles
A. Agouzal, M. El Alami El Ferricha
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 35 / Issue 2 / March 2001

Published online by Cambridge University Press:

15 April 2002, pp. 271-293

Print publication:

March 2001
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We consider a general loaded arch problem with a small thickness. Toapproximate the solution of this problem, a conforming mixed finite elementmethod which takes into account an approximation of the middle line of thearch is given. But for a very small thickness such a method gives poor errorbounds. the conforming Galerkin method is then enriched with residual-freebubble functions.