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

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Numerical Mathematics and Advanced Applications

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.

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Author information

Authors and Affiliations

  1. Laboratoire de Mathématiques Appliquées, Université de Pau et des Pays de l’Adour, BP 1155, 64013, PAU Cedex, France

    Roland Becker

  2. Institut für Angewandte Mathematik, Universität Heidelberg, Im Neuenheimer Feld 294, 69120, Heidelberg, Germany

    Malte Braack

Authors
  1. Roland Becker
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  2. Malte Braack
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Editors and Affiliations

  1. Faculty of Mathematics and Physics Department of Numerical Mathematics, Charles University Prague, Sokolovská 83, 186 75, Praha 8, Czech Republic

    Miloslav Feistauer , Vít Dolejší , Petr Knobloch  & Karel Najzar , ,  & 

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© 2004 Springer-Verlag Berlin Heidelberg

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Becker, R., Braack, M. (2004). A Two-Level Stabilization Scheme for the Navier-Stokes Equations. In: Feistauer, M., Dolejší, V., Knobloch, P., Najzar, K. (eds) Numerical Mathematics and Advanced Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18775-9_9

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  • DOI: https://doi.org/10.1007/978-3-642-18775-9_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-62288-5

  • Online ISBN: 978-3-642-18775-9

  • eBook Packages: Springer Book Archive

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