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

Journal article (2018)

Authors

S. Geevers University of Twente
W.A. Mulder Applied Geophysics and Petrophysics - CEG , Shell Global Solutions International B.V.
J. J.W. van der Vegt University of Twente
Research Group
Applied Geophysics and Petrophysics (CEG) (TU Delft)
Copyright: © 2018 S. Geevers, W.A. Mulder, J. J.W. van der Vegt
DOI: https://doi.org/10.1007/s10915-018-0709-7
Discontinuous Galerkin method Wave equation Mass lumping Dispersion analysis Explicit finite element method Tetrahedral mesh
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Published Date

01-10-2018

Language

English

Faculty

Civil Engineering & Geosciences

Department

Geoscience and Engineering

Research Group

Applied Geophysics and Petrophysics

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.