TY - JOUR
T1 - Dispersion Properties of Explicit Finite Element Methods for Wave Propagation Modelling on Tetrahedral Meshes
AU - Geevers, S.
AU - Mulder, W. A.
AU - van der Vegt, J. J.W.
PY - 2018/10/1
Y1 - 2018/10/1
N2 - 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.
AB - 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.
KW - Discontinuous Galerkin method
KW - Dispersion analysis
KW - Explicit finite element method
KW - Mass lumping
KW - Tetrahedral mesh
KW - Wave equation
UR - http://www.scopus.com/inward/record.url?scp=85045729284&partnerID=8YFLogxK
UR - http://resolver.tudelft.nl/uuid:be0be1e4-b53b-4a90-99ab-d66c16a73f4b
U2 - 10.1007/s10915-018-0709-7
DO - 10.1007/s10915-018-0709-7
M3 - Article
SN - 0885-7474
VL - 77
SP - 372
EP - 396
JO - Journal of Scientific Computing
JF - Journal of Scientific Computing
IS - 1
ER -