Approximation of a nonlinear elliptic problem arising in a non-Newtonian fluid flow model in glaciology
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.
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Univ Houston, Dept Math, Houston, TX 77204 USA. Ecole Polytech Fed Lausanne, Dept Math, CH-1015 Lausanne, Switzerland. Glowinski, R, Univ Houston, Dept Math, Houston, TX 77204 USA. firstname.lastname@example.org
ISI Document Delivery No.: 658EP
Times Cited: 5
Cited Reference Count: 9
Record created on 2006-08-24, modified on 2016-08-08