A stabilized finite-element method for the Stokes problem including element and edge residuals

Araya, Rodolfa and Barrenechea, Gabriel and Valentin, Frédéric (2007) A stabilized finite-element method for the Stokes problem including element and edge residuals. IMA Journal of Numerical Analysis, 27 (1). pp. 172-197. ISSN 0272-4979

Full text not available in this repository.Request a copy from the Strathclyde author

Official URL: https://doi.org/10.1093/imanum/drl013

Abstract

A new stabilized finite-element method is presented for the Stokes problem. The method is of a Douglas–Wang type, and includes a positive jump term controlling the residual of the Cauchy stress tensor on the internal edges of the triangulation. A priori error estimates are obtained in the natural norms of the unknowns and an a posteriori error estimator is proposed, analysed and tested through numerical experiments.

Author(s):	Araya, Rodolfa, Barrenechea, Gabriel ORCID: https://orcid.org/0000-0003-4490-678X and Valentin, Frédéric
Item type:	Article
ID code:	29666
Keywords:	jump term , Stokes equation, stabilized method, a posteriori analysis, Probabilities. Mathematical statistics, Computational Mathematics, Applied Mathematics, Mathematics(all)
Subjects:	Science > Mathematics > Probabilities. Mathematical statistics
Department:	Faculty of Science > Mathematics and Statistics
Depositing user:	Pure Administrator
Date deposited:	01 Apr 2011 13:18
Last modified:	25 Jun 2019 11:28
URI:	https://strathprints.strath.ac.uk/id/eprint/29666
Export data:

CORE (COnnecting REpositories)