Beyond pressure stabilization : a low-order local projection method for the Oseen equation

Barrenechea, Gabriel and Valentin, Frédéric (2011) Beyond pressure stabilization : a low-order local projection method for the Oseen equation. International Journal for Numerical Methods in Engineering, 86 (7). 801–815. ISSN 0029-5981 (https://doi.org/10.1002/nme.3075)

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Abstract

This work proposes a new local projection stabilized finite element method (LPS) for the Oseen problem. The method adds to the Galerkin formulation new fluctuation terms that are symmetric and easily computable at the element level. Proposed for the pair ℙ1/ℙl, l = 0, 1, when the pressure is continuously or discontinuously approximated, well-posedness and error optimality are proved. In addition, we introduce a cheap strategy to recover an element-wise mass conservative velocity field in the discontinuous pressure case, a property usually neglected in the stabilized finite element context. Numerics validate the theoretical results and show that the present method improves accuracy to represent boundary layers when compared with alternative approaches.

ORCID iDs

Barrenechea, Gabriel ORCID logoORCID: https://orcid.org/0000-0003-4490-678X and Valentin, Frédéric;
  • Item type:Article
    ID code:35526
    Dates:
    Date
    Event
    20 May 2011
    Published
    Keywords:Oseen equation, LPS method, low-order method, Mathematics, Applied Mathematics, Engineering(all), Numerical Analysis
    Subjects:Science > Mathematics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:01 Nov 2011 14:33
    Last modified:02 Dec 2022 01:33
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/35526
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