Lube, G.; Rapin, G.; Löwe, J. Local projection stabilization for incompressible flows: equal-order vs. inf-sup stable interpolation. (English) Zbl 1170.76027 ETNA, Electron. Trans. Numer. Anal. 32, 106-122 (2008). 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. Cited in 1 ReviewCited in 8 Documents MSC: 76M10 Finite element methods applied to problems in fluid mechanics 76D05 Navier-Stokes equations for incompressible viscous fluids Keywords:Navier-Stokes equations; finite element discretizations; continuous pressure approximation PDFBibTeX XMLCite \textit{G. Lube} et al., ETNA, Electron. Trans. Numer. Anal. 32, 106--122 (2008; Zbl 1170.76027) Full Text: EuDML EMIS