Computable error bounds for nonconfirming Fortin-Soulie finite element approximation of the Stokes problem

Ainsworth, Mark and Allendes Flores, Alejandro Ignacio and Barrenechea, Gabriel and Rankin, Richard Andrew Robert (2012) Computable error bounds for nonconfirming Fortin-Soulie finite element approximation of the Stokes problem. IMA Journal of Numerical Analysis, 32 (2). pp. 414-447. ISSN 0272-4979

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Official URL: https://doi.org/10.1093/imanum/drr006

Abstract

We propose computable a posteriori error estimates for a second order nonconforming finite element approximation of the Stokes problem. The estimator is completely free of unknown constants and gives a guaranteed numerical upper bound on the error, in terms of a lower bound for the inf-sup constant of the underlying continuous problem. The estimator is also shown to provide a lower bound on the error up to a constant and higher order data oscillation terms. Numerical results are presented illustrating the theory and the performance of the estimator.

Author(s):	Ainsworth, Mark, Allendes Flores, Alejandro Ignacio, Barrenechea, Gabriel ORCID: https://orcid.org/0000-0003-4490-678X and Rankin, Richard Andrew Robert
Item type:	Article
ID code:	39488
Keywords:	a posteriori error estimation, Fortin-Soulie element , nonconforming finite element, Mathematics, Computational Mathematics, Applied Mathematics, Mathematics(all)
Subjects:	Science > Mathematics
Department:	Faculty of Science > Mathematics and Statistics
Depositing user:	Pure Administrator
Date deposited:	02 May 2012 15:53
Last modified:	20 Sep 2019 02:42
Related URLs:	Scopus publication
URI:	https://strathprints.strath.ac.uk/id/eprint/39488
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