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Approximation of a nonlinear elliptic problem arising in a non-Newtonian fluid flow model in glaciology

Published online by Cambridge University Press:  15 March 2003

Roland Glowinski  and
Jacques Rappaz
Roland Glowinski
Affiliation:
Department of Mathematics, University of Houston, Houston, TX 77204-3476, USA.
Jacques Rappaz
Affiliation:
Department of Mathematics, EPFL, 1015 Lausanne, Switzerland. jacques.rappaz@epfl.ch.
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Abstract

The main goal of this article is to establish a priori and a posteriori error estimates for the numerical approximation of some non linear elliptic problems arising in glaciology. The stationary motion of a glacier is given by a non-Newtonian fluid flow model which becomes, in a first two-dimensional approximation, the so-called infinite parallel sided slab model. The approximation of this model is made by a finite element method with piecewise polynomial functions of degree 1. Numerical results show that the theoretical results we have obtained are almost optimal.

Keywords

Finite element methoda priori error estimatesa posteriori error estimatesnon-Newtonian fluidsinfinite parallel sided slab model in glaciology.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 37 , Issue 1 , January 2003 , pp. 175 - 186
Copyright
© EDP Sciences, SMAI, 2003

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