Ainsworth, M. and Rankin, R. (2008) *Fully computable bounds for the error in nonconforming finite element approximations of arbitrary order on triangular elements.* SIAM Journal on Numerical Analysis, 46 (6). pp. 3207-3232. ISSN 0036-1429

## Abstract

We obtain a fully computable a posteriori error bound on the broken energy norm of the error in the nonconforming finite element approximation on triangles of arbitrary order of a linear second order elliptic problem with variable permeability. The estimator is completely free of unknown constants and provides a guaranteed numerical bound on the broken energy norm of the error. This estimator 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

Item type: | Article |
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ID code: | 19432 |

Keywords: | robust a posteriori error estimation, nonconforming finite element, Mathematics, Numerical Analysis |

Subjects: | Science > Mathematics |

Department: | Faculty of Science > Mathematics and Statistics |

Related URLs: | |

Depositing user: | Strathprints Administrator |

Date Deposited: | 25 May 2010 10:02 |

Last modified: | 05 Sep 2014 01:45 |

URI: | http://strathprints.strath.ac.uk/id/eprint/19432 |

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