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On the Stabilization of Finite Element Approximations of the Stokes Equations

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Efficient Solutions of Elliptic Systems

Part of the book series: Notes on Numerical Fluid Mechanics ((NNFM,volume 10))

Abstract

Consider finite element approximation of the Stokes equations. We present a systematic way of stabilizing it by adding bubble functions to the discrete velocity field. Another way of stabilization is also presented where the finite element spaces are kept unchanged but the discrete incompressibility condition is modified instead.

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References

  1. D.N. Arnold, F. Brezzi, M. Fortin, A stable finite element for the Stokes equations, Preprint (1983), University of Pavia.

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© 1984 Springer Fachmedien Wiesbaden

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Brezzi, F., Pitkäranta, J. (1984). On the Stabilization of Finite Element Approximations of the Stokes Equations. In: Hackbusch, W. (eds) Efficient Solutions of Elliptic Systems. Notes on Numerical Fluid Mechanics, vol 10. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-14169-3_2

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  • DOI: https://doi.org/10.1007/978-3-663-14169-3_2

  • Publisher Name: Vieweg+Teubner Verlag, Wiesbaden

  • Print ISBN: 978-3-528-08084-6

  • Online ISBN: 978-3-663-14169-3

  • eBook Packages: Springer Book Archive

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