Analysis of stabilization operators in a Galerkin least-squares finite element discretization of the incompressible Navier-Stokes equations

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    Abstract

    In this paper the design and analysis of a dimensionally consistent stabilization operator for a time-discontinuous Galerkin least-squares finite element method for unsteady viscous flow problems governed by the incompressible Navier-Stokes equations, is discussed. The analysis results in a class of stabilization operators which satisfy essential conditions for the stability of the numerical discretization.
    Original languageUndefined
    Title of host publicationComputational Mechanics, Proceedings of the Sixth world Congress on Computational Mechanics in conjunction with the Second Asian-Pacific Congress on Computational Mechanics
    EditorsZ.H. Yao, M.W. Yuan, W.X. Zhong
    Place of PublicationBeijing, China
    PublisherSpringer
    Pages1-10
    Number of pages10
    ISBN (Print)7-302-09343-1
    Publication statusPublished - Sep 2004

    Publication series

    Name
    PublisherTsinghua University Press & Springer-Verlag

    Keywords

    • EWI-12235
    • IR-72379
    • METIS-220254

    Cite this

    Polner, M. A., van der Vegt, J. J. W., & van Damme, R. M. J. (2004). Analysis of stabilization operators in a Galerkin least-squares finite element discretization of the incompressible Navier-Stokes equations. In Z. H. Yao, M. W. Yuan, & W. X. Zhong (Eds.), Computational Mechanics, Proceedings of the Sixth world Congress on Computational Mechanics in conjunction with the Second Asian-Pacific Congress on Computational Mechanics (pp. 1-10). Beijing, China: Springer.