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
Issue number1
Publication statusPublished - 1 Oct 2018

    Research areas

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

ID: 46747978