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Stabilized finite element methods for the generalized Oseen problem
journal contribution
posted on 2023-06-07, 22:27 authored by M Braack, E Burman, V John, G LubeThe numerical solution of the non-stationary, incompressible NavierStokes model can be split into linearized auxiliary problems of Oseen type. We present in a unique way different stabilization techniques of finite element schemes on isotropic meshes. First we describe the state-of-the-art for the classical residual-based SUPG/PSPG method. Then we discuss recent symmetric stabilization techniques which avoid some drawbacks of the classical method. These methods are closely related to the concept of variational multiscale methods which seems to provide a new approach to large eddy simulation. Finally, we give a critical comparison of these methods.
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Publication status
- Published
Journal
Computer Methods in Applied Mechanics and EngineeringISSN
0045-7825Publisher
ElsevierExternal DOI
Issue
4-6Volume
196Page range
853-866Department affiliated with
- Mathematics Publications
Full text available
- No
Peer reviewed?
- Yes
Legacy Posted Date
2012-02-06Usage metrics
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