Mathematical and numerical analysis of a three-dimensional fluid flow model in glaciology
The main goal of this article is to analyze a three-dimensional model for stress and velocity fields in grounded glaciers and ice sheets including the role of normal deviatoric stress gradients. This model leads to a nonlinear system of stationary partial differential equations for the velocity with a viscosity depending on the stress-tensor but which is not explicitly depending on the velocity. The existence and uniqueness of a weak solution corresponding to this model is established by using the calculus of variations. The approximation of this model is made by a finite element method with piecewise polynomial functions of degree 1 on a tetrahedral mesh and error analysis is performed. Numerical solutions show that the theoretical results we have obtained are almost optimal.
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Ecole Polytech Fed Lausanne, Inst Anal & Calcul Sci, CH-1015 Lausanne, Switzerland. Rappaz, J, Ecole Polytech Fed Lausanne, Inst Anal & Calcul Sci, CH-1015 Lausanne, Switzerland. firstname.lastname@example.org email@example.com
ISI Document Delivery No.: 894VF
Times Cited: 0
Cited Reference Count: 7
Record created on 2006-08-24, modified on 2016-08-08