Approximation of a nonlinear elliptic problem arising in a non-newtonian fluid flow model in glaciology
Glowinski, Roland ; Rappaz, Jacques1
1 Ecole Polytechnique Federale Institute of Analysis and Scientific Computing CH-1015 Lausanne Switzerland
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 37 (2003) no. 1, pp. 175-186.

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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.

DOI : 10.1051/m2an:2003012
Classification : 65N15, 76A05
Mots-clés : finite element method, a priori error estimates, a posteriori error estimates, non-newtonian fluids, infinite parallel sided slab model in glaciology

Glowinski, Roland  ; Rappaz, Jacques 1

1 Ecole Polytechnique Federale Institute of Analysis and Scientific Computing CH-1015 Lausanne Switzerland 
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Glowinski, Roland; Rappaz, Jacques. Approximation of a nonlinear elliptic problem arising in a non-newtonian fluid flow model in glaciology. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 37 (2003) no. 1, pp. 175-186. doi : 10.1051/m2an:2003012. https://geodesic-test.mathdoc.fr/articles/10.1051/m2an:2003012/

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