The main goal of this article is to establish a priori and a posteriori error estimates for the numerical approximation of some non linear elliptic problems arising in glaciology. The stationary motion of a glacier is given by a non-newtonian fluid flow model which becomes, in a first two-dimensional approximation, the so-called infinite parallel sided slab model. The approximation of this model is made by a finite element method with piecewise polynomial functions of degree 1. Numerical results...
The main goal of this article is to establish and
error estimates for the numerical approximation of some non linear elliptic
problems arising in glaciology. The stationary motion of a glacier is given
by a non-Newtonian fluid flow model which becomes, in a first
two-dimensional approximation, the so-called infinite parallel sided slab
model. The approximation of this model is made by a finite element method
with piecewise polynomial functions of degree 1. Numerical results show that
the theoretical...
We address in this article the computation of the convex solutions of the Dirichlet problem for the real elliptic Monge − Ampère equation for general convex domains in two dimensions. The method we discuss combines a least-squares formulation with a relaxation method. This approach leads to a sequence of Poisson − Dirichlet problems and another sequence of low dimensional algebraic eigenvalue problems of a new type. Mixed finite element approximations with a smoothing procedure are used for the...
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