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.


Published in:
Esaim-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique Et Analyse Numerique, 37, 1, 175-186
Year:
2003
ISSN:
0764-583X
Keywords:
Note:
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. jacques.rappaz@epfl.ch
ISI Document Delivery No.: 658EP
Times Cited: 5
Cited Reference Count: 9
Other identifiers:
Laboratories:




 Record created 2006-08-24, last modified 2018-12-03


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