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

## 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.

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: | 27 Mar 2014 10:05 |

URI: | http://strathprints.strath.ac.uk/id/eprint/39488 |

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