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A strongly nonlinear problem arising in glaciology

Published online by Cambridge University Press:  15 August 2002

Jacques Colinge  and
Jacques Rappaz
Jacques Colinge
Affiliation:
Section of Mathematics, Université de Genève, Rue du Lièvre 2-4, 1227 Acacias, Suisse.
Jacques Rappaz
Affiliation:
Department of Mathematics, École Polytechnique Fédérale de Lausanne, 1015 Lausanne, Suisse. jacques.rappaz@epfl.ch.
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Abstract

The computation of glacier movements leads to a system of nonlinear partial differentialequations. The existence and uniqueness of a weak solution is established by using the calculus ofvariations. A discretization by the finite element method is done. Thesolution of the discrete problem is proved to be convergent to the exactsolution. A first simple numerical algorithm is proposed and its convergence numericallystudied.

Keywords

Nonlinear problemfinite elementsconvex analysiscalculus of variationsglaciology.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 33 , Issue 2 , March 1999 , pp. 395 - 406
Copyright
© EDP Sciences, SMAI, 1999

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