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.

## 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, Mathematics(all) |

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

Department: | Faculty of Science > Mathematics and Statistics |

Depositing user: | Pure Administrator |

Date Deposited: | 01 Apr 2011 10:52 |

Last modified: | 08 Feb 2015 01:52 |

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

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