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Finite element approximations of a glaciology problem

Published online by Cambridge University Press:  15 October 2004

Sum S. Chow ,
Graham F. Carey  and
Michael L. Anderson
Sum S. Chow
Affiliation:
Department of Mathematics, Brigham Young University, Provo, UT 84602, USA. schow@math.byu.edu.
Graham F. Carey
Affiliation:
ICES, Univ. of Texas at Austin, Austin, TX 78712, USA. carey@cfdlab.ae.utexas.edu.; michaela@rsp.com.au.
Michael L. Anderson
Affiliation:
ICES, Univ. of Texas at Austin, Austin, TX 78712, USA. carey@cfdlab.ae.utexas.edu.; michaela@rsp.com.au.
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Abstract

In this paper we study a model problem describing the movement ofa glacier under Glen's flow law and investigated by Colinge andRappaz [Colinge and Rappaz, ESAIM: M2AN 33 (1999) 395–406]. We establish error estimates for finiteelement approximation using the results of Chow [Chow, SIAM J. Numer. Analysis 29 (1992) 769–780] andLiu and Barrett [Liu and Barrett, SIAM J. Numer. Analysis33 (1996) 98–106] and give an analysis of theconvergence of the successive approximations used in [Colinge and Rappaz, ESAIM: M2AN 33 (1999) 395–406].Supporting numerical convergence studies are carried out and wealso demonstrate the numerical performance of an aposteriori error estimator in adaptive mesh refinementcomputation of the problem.

Keywords

Glen's flow lawnon-Newtonian fluidsfinite elementerror estimatessuccessive approximations.

Information

Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 38 , Issue 5 , September 2004 , pp. 741 - 756
Copyright
© EDP Sciences, SMAI, 2004

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References

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