A stabilized finite-element method for the Stokes problem including element and edge residuals

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 (https://doi.org/10.1093/imanum/drl013)

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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.

ORCID iDs

Araya, Rodolfa, Barrenechea, Gabriel ORCID logoORCID: https://orcid.org/0000-0003-4490-678X and Valentin, Frédéric;
  • Item type:Article
    ID code:29666
    Dates:
    Date
    Event
    January 2007
    Published
    15 May 2006
    Published Online
    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:18 Mar 2023 03:36
    URI:https://strathprints.strath.ac.uk/id/eprint/29666
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