Stabilized FEM with Anisotropic Mesh Refinement for the Oseen Problem

Gert Lube (), Tobias Knopp () and Ralf Gritzki ()
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Gert Lube: Math. Fakultät, Math. Fakultät
Tobias Knopp: DLR (German Aerospace Center), AS-NV
Ralf Gritzki: TGA, TU Dresden, Fakultät für Maschinenwesen

A chapter in Numerical Mathematics and Advanced Applications, 2006, pp 805-813 from Springer

Abstract: Abstract Nonstationary incompressible flow problems can be split into auxiliary problems of Oseen type. We present the analysis of conforming stabilized Galerkin methods of SUPG/PSPG-type with equal-order interpolation of velocity/pressure and with emphasis on anisotropic mesh refinement in boundary layers. We prove a modified inf-sup condition with a constant independent of the viscosity and of critical parameters of the mesh. Numerical tests confirm the results.

Keywords: Anisotropic Mesh; Boundary Layer Region; Oseen Problem; Isotropic Mesh; Anisotropic Interpolation (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-34288-5_79

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DOI: 10.1007/978-3-540-34288-5_79

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