Dispersion Properties of Explicit Finite Element Methods for Wave Propagation Modelling on Tetrahedral Meshes

Sjoerd Geevers (Corresponding Author), W.A. Mulder, Jacobus J.W. van der Vegt

    Research output: Contribution to journalArticleAcademicpeer-review

    5 Citations (Scopus)
    71 Downloads (Pure)

    Abstract

    We analyse the dispersion properties of two types of explicit finite element methods for modelling acoustic and elastic wave propagation on tetrahedral meshes, namely mass-lumped finite element methods and symmetric interior penalty discontinuous Galerkin methods, both combined with a suitable Lax–Wendroff time integration scheme. The dispersion properties are obtained semi-analytically using standard Fourier analysis. Based on the dispersion analysis, we give an indication of which method is the most efficient for a given accuracy, how many elements per wavelength are required for a given accuracy, and how sensitive the accuracy of the method is to poorly shaped elements.
    Original languageEnglish
    Pages (from-to)372-396
    Number of pages25
    JournalJournal of scientific computing
    Volume77
    Issue number1
    Early online date20 Apr 2018
    DOIs
    Publication statusPublished - 1 Oct 2018

    Keywords

    • UT-Hybrid-D
    • Explicit finite element method
    • Mass lumping
    • Discontinuous Galerkin method
    • Wave equation
    • Dispersion analysis
    • Tetrahedral mesh

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