Finite element approximation of hyperbolic equations

David Griffiths, George Mathai

    Research output: Book/ReportBook

    Abstract

    Finite elements of degree d are analysed for the semi-discrete periodic initial value problem for pure advection in 1D. We derive the dispersion relation for arbitrary degree and highlight the distinction between even and odd degree bases. The phase and group velocities are also analysed.
    Original languageEnglish
    Place of PublicationDundee
    PublisherUniversity of Dundee
    Publication statusPublished - 1995

    Keywords

    • Hyperbolic
    • Finite elements

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