Publication

Approximation of a nonlinear elliptic problem arising in a non-Newtonian fluid flow model in glaciology

Jacques Rappaz
2003
Journal Articles

Abstract

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 show that the theoretical results we have obtained are almost optimal.

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https://infoscience.epfl.ch/entities/publication/90394bc5-aa2f-4c76-8fff-2b337c3adf80

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Jacques Rappaz
2003
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/90394bc5-aa2f-4c76-8fff-2b337c3adf80

About this result

Related concepts (32)

Numerical differentiation

In numerical analysis, numerical differentiation algorithms estimate the derivative of a mathematical function or function subroutine using values of the function and perhaps other knowledge about the function. The simplest method is to use finite difference approximations. A simple two-point estimation is to compute the slope of a nearby secant line through the points (x, f(x)) and (x + h, f(x + h)). Choosing a small number h, h represents a small change in x, and it can be either positive or negative.

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Related publications (32)

Approximation of a nonlinear elliptic problem arising in a non-Newtonian fluid flow model in glaciology

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