Approximation of a nonlinear elliptic problem arising in a non-Newtonian fluid flow model in glaciology
Department of Mathematics, University of Houston, Houston, TX 77204-3476, USA.
2 Department of Mathematics, EPFL, 1015 Lausanne, Switzerland. firstname.lastname@example.org.
Revised: 18 November 2002
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.
Mathematics Subject Classification: 65N15 / 76A05
Key words: Finite element method / a priori error estimates / a posteriori error estimates / non-Newtonian fluids / infinite parallel sided slab model in glaciology.
© EDP Sciences, SMAI, 2003