Glowinski, R.Rappaz, J.2006-08-242006-08-242006-08-24200310.1051/m2an:2003012https://infoscience.epfl.ch/handle/20.500.14299/233725WOS:0001817089000103736The 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.finite element methoda priori error estimatesa posteriori errorestimatesnon-Newtonian fluidsinfinite parallel sided slab model inglaciologyERRORtext::journal::journal article::research article