| Issue |
ESAIM: M2AN
Volume 35, Number 1, January/February 2001
|
|
|---|---|---|
| Page(s) | 153 - 164 | |
| DOI | https://doi.org/10.1051/m2an:2001110 | |
| Published online | 15 April 2002 | |
The mortar finite element method for Bingham fluids
Laboratoire de Mathématiques, Université de
Savoie, CNRS EP 2067, 73376 Le Bourget-du-Lac, France. (hild@univ-savoie.fr)
Received:
8
December
1999
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.
Résumé
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.
Mathematics Subject Classification: 65N30 / 65N55 / 76A05
Key words: Viscoplastic fluid / Bingham model / variational inequality / mortar finite element method / a priori error estimates.
© EDP Sciences, SMAI, 2001
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