Error estimate of the P-1 nonconforming finite element method for the penalized unsteady Navier-Stokes equations

Xiliang Lu, Ping Lin

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    7 Citations (Scopus)

    Abstract

    We consider a finite element method for the penalty formulation of the time dependent Navier-Stokes equations. Usually the improper choice of the finite element space will lead that the error estimate (inversely) depends on the penalty parameter epsilon. We use the classical P-1 nonconforming finite element space for the spatial discretization. Optimal epsilon-uniform error estimations for both velocity and pressure are obtained.

    Original languageEnglish
    Pages (from-to)261-287
    Number of pages27
    JournalNumerische Mathematik
    Volume115
    Issue number2
    DOIs
    Publication statusPublished - 2010

    Keywords

    • SEQUENTIAL REGULARIZATION METHOD
    • APPROXIMATION
    • FORMULATION
    • DYNAMICS
    • FLOWS

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