Repository: Freie Universit├Ąt Berlin, Math Department

Analysis and finite element approximation of a nonlinear stationary stokes problem arising in glaciology

Jouvet, G. and Rappaz, J. (2011) Analysis and finite element approximation of a nonlinear stationary stokes problem arising in glaciology. Advances in Numerical Analysis, 2011 (Articl). ISSN 1687-9562

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Official URL: http://dx.doi.org/10.1155/2011/164581

Abstract

The aim of this paper is to study a nonlinear stationary Stokes problem with mixed boundary conditions that describes the ice velocity and pressure fields of grounded glaciers under Glen's flow law. Using convex analysis arguments, we prove the existence and the uniqueness of a weak solution. A finite element method is applied with approximation spaces that satisfy the inf-sup condition, and a priori error estimates are established by using a quasinorm technique. Several algorithms (including Newton's method) are proposed to solve the nonlinearity of the Stokes problem and are proved to be convergent. Our results are supported by numerical convergence studies.

Item Type:Article
Subjects:Mathematical and Computer Sciences > Mathematics > Numerical Analysis
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics
ID Code:1877
Deposited By: Ekaterina Engel
Deposited On:30 Mar 2016 17:50
Last Modified:03 Mar 2017 14:42

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