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glaciology.

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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A strongly nonlinear problem arising in glaciology
Jacques Colinge, Jacques Rappaz
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 33 / Issue 2 / March 1999

Published online by Cambridge University Press:

15 August 2002, pp. 395-406

Print publication:

March 1999
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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.