Approximation of the arch problem by residual-free bubbles

A. Agouzal; M. El Alami El Ferricha

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

  • Volume: 35, Issue: 2, page 271-293
  • ISSN: 0764-583X

Abstract

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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.

How to cite

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Agouzal, A., and M. El Alami El Ferricha. "Approximation of the arch problem by residual-free bubbles." ESAIM: Mathematical Modelling and Numerical Analysis 35.2 (2010): 271-293. <http://eudml.org/doc/197385>.

@article{Agouzal2010,
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. },
author = {Agouzal, A., M. El Alami El Ferricha},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Mixed method; Lagrange multipliers; conforming approximations; residual-free-bubble.; loaded arch; conforming Galerkin mixed finite element method; residual-free bubble functions; small thickness; approximation of middle line},
language = {eng},
month = {3},
number = {2},
pages = {271-293},
publisher = {EDP Sciences},
title = {Approximation of the arch problem by residual-free bubbles},
url = {http://eudml.org/doc/197385},
volume = {35},
year = {2010},
}

TY - JOUR
AU - Agouzal, A.
AU - M. El Alami El Ferricha
TI - Approximation of the arch problem by residual-free bubbles
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 35
IS - 2
SP - 271
EP - 293
AB - 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.
LA - eng
KW - Mixed method; Lagrange multipliers; conforming approximations; residual-free-bubble.; loaded arch; conforming Galerkin mixed finite element method; residual-free bubble functions; small thickness; approximation of middle line
UR - http://eudml.org/doc/197385
ER -

References

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