Finite element approximations of a glaciology problem
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 38 (2004) no. 5, pp. 741-756.

In this paper we study a model problem describing the movement of a glacier under Glen's flow law and investigated by Colinge and Rappaz [Colinge and Rappaz, ESAIM: M2AN 33 (1999) 395-406]. We establish error estimates for finite element approximation using the results of Chow [Chow, SIAM J. Numer. Analysis 29 (1992) 769-780] and Liu and Barrett [Liu and Barrett, SIAM J. Numer. Analysis 33 (1996) 98-106] and give an analysis of the convergence of the successive approximations used in [Colinge and Rappaz, ESAIM: M2AN 33 (1999) 395-406]. Supporting numerical convergence studies are carried out and we also demonstrate the numerical performance of an a posteriori error estimator in adaptive mesh refinement computation of the problem.

DOI : https://doi.org/10.1051/m2an:2004033
Classification : 26B25,  35J20,  35J60,  49J45,  65N30,  86A40
Mots clés : Glen's flow law, non-newtonian fluids, finite element error estimates, successive approximations
@article{M2AN_2004__38_5_741_0,
author = {Chow, Sum S. and Carey, Graham F. and Anderson, Michael L.},
title = {Finite element approximations of a glaciology problem},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
pages = {741--756},
publisher = {EDP-Sciences},
volume = {38},
number = {5},
year = {2004},
doi = {10.1051/m2an:2004033},
zbl = {1130.86300},
mrnumber = {2104426},
language = {en},
url = {http://www.numdam.org/articles/10.1051/m2an:2004033/}
}
Chow, Sum S.; Carey, Graham F.; Anderson, Michael L. Finite element approximations of a glaciology problem. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 38 (2004) no. 5, pp. 741-756. doi : 10.1051/m2an:2004033. http://www.numdam.org/articles/10.1051/m2an:2004033/

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