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Finite element approximations of a glaciology problem

Sum S. ChowGraham F. CareyMichael L. Anderson — 2004

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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...

Finite element approximations of a glaciology problem

Sum S. ChowGraham F. CareyMichael L. Anderson — 2010

ESAIM: Mathematical Modelling and Numerical Analysis

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, (1999) 395–406]. We establish error estimates for finite element approximation using the results of Chow [Chow, (1992) 769–780] and Liu and Barrett [Liu and Barrett, (1996) 98–106] and give an analysis of the convergence of the successive approximations used in [Colinge and Rappaz, ...

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