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The mortar finite element method for Bingham fluids

Published online by Cambridge University Press:  15 April 2002

Patrick Hild
Patrick Hild*
Affiliation:
Laboratoire de Mathématiques, Université de Savoie, CNRS EP 2067, 73376 Le Bourget-du-Lac, France. (hild@univ-savoie.fr)
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Abstract

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.

Keywords

Viscoplastic fluidBingham modelvariational inequalitymortar finite element methoda priori error estimates.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 35 , Issue 1 , January 2001 , pp. 153 - 164
Copyright
© EDP Sciences, SMAI, 2001

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