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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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.
Creators(s): |
Ainsworth, Mark, Allendes Flores, Alejandro Ignacio, Barrenechea, Gabriel ![]() | Item type: | Article |
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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 Jan 2021 20:06 |
Related URLs: | |
URI: | https://strathprints.strath.ac.uk/id/eprint/39488 |
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