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Analysis and Finite Element Approximation of a Nonlinear Stationary Stokes Problem Arising in Glaciology
Joint Authors
Rappaz, Jacques
Jouvet, Guillaume
Source
Advances in Numerical Analysis
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-24, 24 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-01-12
Country of Publication
Egypt
No. of Pages
24
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Jouvet, Guillaume& Rappaz, Jacques. 2012. Analysis and Finite Element Approximation of a Nonlinear Stationary Stokes Problem Arising in Glaciology. Advances in Numerical Analysis،Vol. 2011, no. 2011, pp.1-24.
https://search.emarefa.net/detail/BIM-451025
Modern Language Association (MLA)
Jouvet, Guillaume& Rappaz, Jacques. Analysis and Finite Element Approximation of a Nonlinear Stationary Stokes Problem Arising in Glaciology. Advances in Numerical Analysis No. 2011 (2011), pp.1-24.
https://search.emarefa.net/detail/BIM-451025
American Medical Association (AMA)
Jouvet, Guillaume& Rappaz, Jacques. Analysis and Finite Element Approximation of a Nonlinear Stationary Stokes Problem Arising in Glaciology. Advances in Numerical Analysis. 2012. Vol. 2011, no. 2011, pp.1-24.
https://search.emarefa.net/detail/BIM-451025
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-451025