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Reliable a posteriori error control for non-conforming finite element approximation of Stokes flow

Dörfler, W. and Ainsworth, M. (2005) Reliable a posteriori error control for non-conforming finite element approximation of Stokes flow. Mathematics of Computation, 74 (252). pp. 1599-1619. ISSN 0025-5718

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Abstract

We derive computable a posteriori error estimates for the lowest order nonconforming Crouzeix-Raviart element applied to the approximation of incompressible Stokes flow. The estimator provides an explicit upper bound that is free of any unknown constants, provided that a reasonable lower bound for the inf-sup constant of the underlying problem is available. In addition, it is shown that the estimator provides an equivalent lower bound on the error up to a generic constant.

Item type: Article
ID code: 2229
Keywords: posteriori error, Crouzeix-Raviart element, Stokes flow, computation, mathematics, Mathematics, Physics, Algebra and Number Theory, Computational Mathematics, Applied Mathematics
Subjects: Science > Mathematics
Science > Physics
Department: Faculty of Science > Mathematics and Statistics
Depositing user: Strathprints Administrator
Date deposited: 29 Nov 2006
Last modified: 08 Sep 2017 02:12
URI: https://strathprints.strath.ac.uk/id/eprint/2229
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