On considère le problème de l'écoulement d'un fluide visqueux plastique dans une conduite cylindrique. Afin d'approcher ce problème régi par une inéquation variationnelle, nous appliquons la méthode non conforme des éléments finis avec joints. En utilisant des techniques appropriées, on devient en mesure de prouver la convergence de la méthode avec un taux de convergence identique au cas conforme.
This paper deals with the flow problem of a viscous plastic fluid in a cylindrical pipe. In order to approximate this problem governed by a variational inequality, we apply the nonconforming mortar finite element method. By using appropriate techniques, we are able to prove the convergence of the method and to obtain the same convergence rate as in the conforming case.
@article{M2AN_2001__35_1_153_0,
author = {Hild, Patrick},
title = {The Mortar finite element method for Bingham fluids},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
volume = {35},
year = {2001},
pages = {153-164},
mrnumber = {1811985},
zbl = {0990.76042},
language = {en},
url = {http://dml.mathdoc.fr/item/M2AN_2001__35_1_153_0}
}
Hild, Patrick. The Mortar finite element method for Bingham fluids. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 35 (2001) pp. 153-164. http://gdmltest.u-ga.fr/item/M2AN_2001__35_1_153_0/
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