A strongly nonlinear problem arising in glaciology

Authors
Colinge, J Rappaz, J
Citation
J. Colinge et J. Rappaz, A strongly nonlinear problem arising in glaciology, RAIRO-M MOD, 33(2), 1999, pp. 395-406
Citations number
9
Categorie Soggetti
Mathematics
Journal title
RAIRO-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
ISSN journal
0764583X → ACNP
Volume
33
Issue
2
Year of publication
1999
Pages
395 - 406
Database
ISI
SICI code
0764-583X(199903/04)33:2<395:ASNPAI>2.0.ZU;2-L
Abstract
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 f inite element method is done. The solution of the discrete problem is prove d to be convergent to the exact solution. A first simple numerical algorith m is proposed and its convergence numerically studied.