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

Official 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.

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 |

Related URLs: | |

Depositing user: | Strathprints Administrator |

Date Deposited: | 29 Nov 2006 |

Last modified: | 04 Sep 2014 13:16 |

URI: | http://strathprints.strath.ac.uk/id/eprint/2229 |

### Actions (login required)

View Item |