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

S. Geevers, W. A. Mulder, J. J.W. van der Vegt

Research output: Contribution to journalArticleScientificpeer-review

3 Citations (Scopus)
35 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
DOIs
Publication statusPublished - 1 Oct 2018

Keywords

  • Discontinuous Galerkin method
  • Dispersion analysis
  • Explicit finite element method
  • Mass lumping
  • Tetrahedral mesh
  • Wave equation

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