Araya, Rodolfa and Barrenechea, Gabriel and Valentin, Frédéric
(2007)
*A stabilized finite-element method for the Stokes problem including element and edge residuals.*
IMA Journal of Numerical Analysis, 27 (1).
pp. 172-197.
ISSN 0272-4979

Official URL: http://dx.doi.org/10.1093/imanum/drl013

## Abstract

A new stabilized finite-element method is presented for the Stokes problem. The method is of a Douglas–Wang type, and includes a positive jump term controlling the residual of the Cauchy stress tensor on the internal edges of the triangulation. A priori error estimates are obtained in the natural norms of the unknowns and an a posteriori error estimator is proposed, analysed and tested through numerical experiments.

Item type: | Article |
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ID code: | 29666 |

Keywords: | jump term , Stokes equation, stabilized method, a posteriori analysis, Probabilities. Mathematical statistics, Computational Mathematics, Applied Mathematics, Mathematics(all) |

Subjects: | Science > Mathematics > Probabilities. Mathematical statistics |

Department: | Faculty of Science > Mathematics and Statistics |

Depositing user: | Pure Administrator |

Date Deposited: | 01 Apr 2011 13:18 |

Last modified: | 21 May 2015 13:08 |

URI: | http://strathprints.strath.ac.uk/id/eprint/29666 |

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