# Approximation of the arch problem by residual-free bubbles

A. Agouzal; M. El Alami El Ferricha

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

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topAgouzal, A., and El Alami El Ferricha, M.. "Approximation of the arch problem by residual-free bubbles." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 35.2 (2001): 271-293. <http://eudml.org/doc/194050>.

@article{Agouzal2001,

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., El Alami El Ferricha, M.},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},

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},

number = {2},

pages = {271-293},

publisher = {EDP-Sciences},

title = {Approximation of the arch problem by residual-free bubbles},

url = {http://eudml.org/doc/194050},

volume = {35},

year = {2001},

}

TY - JOUR

AU - Agouzal, A.

AU - El Alami El Ferricha, M.

TI - Approximation of the arch problem by residual-free bubbles

JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

PY - 2001

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/194050

ER -

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