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A strongly nonlinear problem arising in glaciology. (English) Zbl 0946.65115
The authors prove the existence and uniqueness of the solution to a nonlinear problem arising in the field of glaciology. They also prove that the discrete solution by the finite element method converges to the exact solution. A first simple numerical scheme is proposed and its convergence is studied numerically.

MSC:
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
35J65 Nonlinear boundary value problems for linear elliptic equations
86A40 Glaciology
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