The computation of glacier movements leads to a system of nonlinear partial differential equations. The existence and uniqueness of a weak solution is established by using the calculus of variations. A discretization by the finite element method is done. The solution of the discrete problem is proved to be convergent to the exact solution. A first simple numerical algorithm is proposed and its convergence numerically studied.
Titre
A strongly nonlinear problem arising in glaciology
Publié dans
Rairo-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique Et Analyse Numerique
Volume
33
Numéro
2
Pages
395-406
Date
1999
ISSN
0764-583X
Note
Univ Geneva, Sect Math, CH-1227 Acacias, Switzerland. Ecole Polytech Fed Lausanne, Dept Math, CH-1015 Lausanne, Switzerland. Colinge, J, Univ Geneva, Sect Math, Rue Lievre 2-4, CH-1227 Acacias, Switzerland.
ISI Document Delivery No.: 214PQ
Cited Reference Count: 9
Date de création de la notice
2006-08-24