Ainsworth, M. and Rankin, R. (2008) *Robust a posteriori error estimation for the nonconforming fortin-soulie finite element approximation.* Mathematics of Computation, 77 (264). pp. 1917-1939. ISSN 0025-5718

Official URL: http://dx.doi.org/10.1090/S0025-5718-08-02116-9

## Abstract

We obtain a computable a posteriori error bound on the broken energy norm of the error in the Fortin-Soulie finite element approximation of a linear second order elliptic problem with variable permeability. This bound is shown to be efficient in the sense that it also provides a lower bound for the broken energy norm of the error up to a constant and higher order data oscillation terms. The estimator is completely free of unknown constants and provides a guaranteed numerical bound on the error.

Item type: | Article |
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ID code: | 19573 |

Keywords: | robust a posteriori error estimation, nonconforming finite element, fortin-Soulie element, Electronic computers. Computer science, Mathematics, Computer software, Algebra and Number Theory, Computational Mathematics, Applied Mathematics |

Subjects: | Science > Mathematics > Electronic computers. Computer science Science > Mathematics Science > Mathematics > Computer software |

Department: | Faculty of Science > Mathematics and Statistics |

Related URLs: | |

Depositing user: | Strathprints Administrator |

Date Deposited: | 01 Jun 2010 12:59 |

Last modified: | 05 Sep 2014 01:45 |

URI: | http://strathprints.strath.ac.uk/id/eprint/19573 |

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