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An unusual stabilized finite element method for a generalized Stokes problem

Barrenechea, G.R. and Valentin, F. (2002) An unusual stabilized finite element method for a generalized Stokes problem. Numerische Mathematik, 92 (4). pp. 653-677. ISSN 0029-599X

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Abstract

An unusual stabilized finite element is presented and analyzed herein for a generalized Stokes problem with a dominating zeroth order term. The method consists in subtracting a mesh dependent term from the formulation without compromising consistency. The design of this mesh dependent term, as well as the stabilization parameter involved, are suggested by bubble condensation. Stability is proven for any combination of velocity and pressure spaces, under the hypotheses of continuity for the pressure space. Optimal order error estimates are derived for the velocity and the pressure, using the standard norms for these unknowns. Numerical experiments confirming these theoretical results, and comparisons with previous methods are presented.

Item type: Article
ID code: 4886
Keywords: numerical mathematics, Stokes problem, finite element method, Mathematics
Subjects: Science > Mathematics
Department: Faculty of Science > Mathematics and Statistics
Related URLs:
    Depositing user: Strathprints Administrator
    Date Deposited: 27 Nov 2007
    Last modified: 12 Mar 2012 10:41
    URI: http://strathprints.strath.ac.uk/id/eprint/4886

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