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
Full text not available in this repository.Request a copy from the Strathclyde authorOfficial URL: http://dx.doi.org/10.1090/S0025-5718-05-01743-6
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.
Creators(s): | Dörfler, W. and Ainsworth, M.; | 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: | 20 Jan 2021 17:03 |
URI: | https://strathprints.strath.ac.uk/id/eprint/2229 |
Export data: |
CORE (COnnecting REpositories)