Volume 32, pp. 106-122, 2008.

Local projection stabilization for incompressible flows: Equal-order vs. inf-sup stable interpolation

G. Lube, G. Rapin, and J. Löwe

Abstract

A standard approach to the non-stationary, incompressible Navier-Stokes model is to split the problem into linearized auxiliary problems of Oseen type. In this paper, a unified numerical analysis for finite element discretizations using the local projection stabilization method with either equal-order or inf-sup stable velocity-pressure pairs in the case of continuous pressure approximation is presented. Moreover, a careful comparison of both variants is given.

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Key words

incompressible flows, Oseen model, stabilized FEM, local projection stabilization

AMS subject classifications

65M60, 65N15, 76M10

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