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

页码：372 / 396

页数：25

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