Local Projection Stabilization for the Oseen System on Anisotropic Cartesian Meshes

M. Braack ()
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M. Braack: Christan-Albrechts-Universität zu Kiel, Mathematisches Seminar

A chapter in Numerical Mathematics and Advanced Applications, 2008, pp 441-448 from Springer

Abstract: Abstract Classical residual-based stabilization techniques, as for instance streamline upwind Petrov-Galerkin, as well as the local projection method are optimal on isotropic meshes. Here we extend the local projection stabilization for the Navier-Stokes system to anisotropic Cartesian meshes. We describe the new method and give an a priori error estimate for the two-dimensional case. The method leads on anisotropic meshes to qualitatively better convergence behavior than other isotropic stabilization methods. The capability of the method is illustrated by means of a numerical test problem.

Keywords: Stokes System; Anisotropic Mesh; Isotropic Version; Variational Multiscale Method; Anisotropic Version (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-69777-0_52

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DOI: 10.1007/978-3-540-69777-0_52

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