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

## 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 |

Depositing user: | Strathprints Administrator |

Date Deposited: | 29 Nov 2006 |

Last modified: | 10 Dec 2015 16:36 |

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

### Actions (login required)

View Item |