A Two-Level Stabilization Scheme for the Navier-Stokes Equations

Roland Becker () and Malte Braack ()
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Roland Becker: Université de Pau et des Pays de l’Adour, Laboratoire de Mathématiques Appliquées
Malte Braack: Universität Heidelberg, Institut für Angewandte Mathematik

A chapter in Numerical Mathematics and Advanced Applications, 2004, pp 123-130 from Springer

Abstract: Summary As an alternative to classical stabilization schemes as, for instance, Galerkin-Least-Squares or streamline diffusion techniques, a stable equal-order finite element scheme for the Navier-Stokes equation is proposed. The approach is based on filtering small-scale fluctuations of pressure and velocities by local projections. For the Stokes system, we prove stability and analyze the arising system matrix. Furthermore, the transport equation is analyzed with respect to stability and an a-priori estimate is given.

Keywords: Stabilization Term; Finite Element Scheme; Adaptive Finite Element; Finite Element Function; Bilinear Finite Element (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-18775-9_9

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DOI: 10.1007/978-3-642-18775-9_9

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