A Two-Level Finite Element Discretization of the Streamfunction Formulation of the Stationary Quasi-Geostrophic Equations of the Ocean

In this paper we proposed a two-level finite element discretization of the nonlinear stationary quasi-geostrophic equations, which model the wind driven large scale ocean circulation. Optimal error estimates for the two-level finite element discretization were derived. Numerical experiments for the...

Full description

Saved in:
Bibliographic Details
Published inarXiv.org
Main Authors Foster, Erich L, Iliescu, Traian, Wells, David
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 20.09.2013
Subjects
Algorithms
Computing time
Discretization
Finite element method
Mathematical analysis
Mathematical models
Mathematics - Numerical Analysis
Nonlinear equations
Ocean currents
Ocean models
Viscosity
Online AccessGet full text

Cover

More Information
Summary:In this paper we proposed a two-level finite element discretization of the nonlinear stationary quasi-geostrophic equations, which model the wind driven large scale ocean circulation. Optimal error estimates for the two-level finite element discretization were derived. Numerical experiments for the two-level algorithm with the Argyris finite element were also carried out. The numerical results verified the theoretical error estimates and showed that, for the appropriate scaling between the coarse and fine mesh sizes, the two-level algorithm significantly decreases the computational time of the standard one-level algorithm.
ISSN:2331-8422
DOI:10.48550/arxiv.1211.0958