Barrenechea, Gabriel and Valentin, Frédéric (2005) *Relationship between multiscale enrichment and stabilized finite element methods for the generalized Stokes problem.* Comptes Rendus Mathematique, 341 (10). pp. 635-640.

Official URL: http://dx.doi.org/10.1016/j.crma.2005.09.038

## Abstract

We derive a new stabilized finite element method for the generalized Stokes problem starting from the non-stable continuous finite element space enriched with multiscale functions. The stabilization parameter is related with the enrichment functions which are analytically computed from a boundary value problem at the element level leading to a method which is free of constants. Optimal error estimates are obtained in natural norms and numerical tests validate the method

Item type: | Article |
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ID code: | 29664 |

Keywords: | Stokes problem, finite element methods , multiscale enrichment , Probabilities. Mathematical statistics |

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

Department: | Faculty of Science > Mathematics and Statistics |

Related URLs: | |

Depositing user: | Pure Administrator |

Date Deposited: | 01 Apr 2011 11:52 |

Last modified: | 10 Dec 2013 07:19 |

URI: | http://strathprints.strath.ac.uk/id/eprint/29664 |

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