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A strongly nonlinear problem arising in glaciology

Jacques Colinge;  Jacques Rappaz — 2010

ESAIM: Mathematical Modelling and Numerical Analysis

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.

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