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Zbl 0946.65115
Colinge, Jacques; Rappaz, Jacques
A strongly nonlinear problem arising in glaciology. (English)
[J] M2AN, Math. Model. Numer. Anal. 33, No.2, 395-406 (1999). ISSN 0764-583X; ISSN 1290-3841/e

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.
[K.T.S.R.Iyengar (Bangalore)]

MSC 2000:: *65N30 Finite numerical methods (BVP of PDE)
65N12 Stability and convergence of numerical methods (BVP of PDE)
35J65 (Nonlinear) BVP for (non)linear elliptic equations
86A40 Glaciology

Keywords: nonlinear; glaciology; finite element method; convergence

Cited in: Zbl 1130.86300

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