A strongly nonlinear problem arising in glaciology

被引:0
作者
Colinge, J
Rappaz, J
机构
[1] Univ Geneva, Sect Math, CH-1227 Acacias, Switzerland
[2] Ecole Polytech Fed Lausanne, Dept Math, CH-1015 Lausanne, Switzerland
来源
RAIRO-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 1999年 / 33卷 / 02期
关键词
nonlinear problem; finite elements; convex analysis; calculus of variations; glaciology;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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.
引用
收藏
页码:395 / 406
页数:12
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