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

被引：14
|
作者：
Geevers, S. [1 ]
Mulder, W. A. [2 ,3 ]
van der Vegt, J. J. W. [1 ]
机构：
[1] Univ Twente, Dept Appl Math, Enschede, Netherlands
[2] Shell Global Solut Int BV, Amsterdam, Netherlands
[3] Delft Univ Technol, Delft, Netherlands
来源：
JOURNAL OF SCIENTIFIC COMPUTING | 2018年 / 77卷 / 01期
关键词：
Tetrahedral mesh; Explicit finite element method; Mass lumping; Discontinuous Galerkin method; Wave equation; Dispersion analysis; DISCONTINUOUS GALERKIN METHOD; HIGH-ORDER;
D O I：
10.1007/s10915-018-0709-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：372 / 396
页数：25
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