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Local projection stabilization for incompressible flows: equal-order vs. inf-sup stable interpolation. (English) Zbl 1170.76027

Summary: A standard approach to non-stationary incompressible Navier-Stokes model is to split the problem into linearized auxiliary problems of Oseen type. In this paper, we present 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. Moreover, a comparison of both variants is given.

MSC:

76M10 Finite element methods applied to problems in fluid mechanics
76D05 Navier-Stokes equations for incompressible viscous fluids
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