Numerical dispersion analysis of discontinuous Galerkin method with different basis functions for acoustic and elastic wave equations

doi:10.1190/GEO2017-0485.1

CORC > 地质与地球物理研究所 > 中国科学院地质与地球物理研究所 > 中国科学院地球与行星物理重点实验室

	Numerical dispersion analysis of discontinuous Galerkin method with different basis functions for acoustic and elastic wave equations
	Meng, Weijuan 1; Fu, Li-Yun 2
刊名	GEOPHYSICS
	2018-05-01
卷号	83 期号:3 页码:T87-T101
ISSN号	0016-8033
DOI	10.1190/GEO2017-0485.1
英文摘要	The discontinuous Galerkin method (DGM) has been applied to investigate seismic wave propagation recently. However, few studies have examined the dispersion property of DGM with different basis functions. Therefore, three common basis functions, Legendre polynomial, Lagrange polynomial with equidistant nodes, and Lagrange polynomial with Gauss-Lobatto-Legendre (GLL) nodes, are used for numerical approximation. The numerical dispersion and anisotropy numerical behavior of acoustic and elastic waves are compared, and the numerical errors of different order methods are analyzed. The result shows that the dispersion errors for all basis functions reduce generally with increasing interpolation orders, but with large differences in different directions. Specifically, the Legendre basis function and Lagrange basis function with GLL nodes have attractive advantages over the Lagrange polynomial with equidistant nodes for numerical computation. We verified the dispersion properties by theoretical and numerical analyses.
资助项目	Chinese Academy of Sciences Strategic Leading Science and Technology projects[XDB10010401] ; Strategic Priority Research Program of the Chinese Academy of Sciences[XDA14010303]
WOS关键词	NAVIER-STOKES EQUATIONS ; FINITE-ELEMENT-METHOD ; UNSTRUCTURED MESHES ; CONSERVATION-LAWS ; GRID DISPERSION ; TIME-DOMAIN ; PROPAGATION ; ORDER ; ACCURACY ; SIMULATIONS
WOS研究方向	Geochemistry & Geophysics
语种	英语
出版者	SOC EXPLORATION GEOPHYSICISTS
WOS记录号	WOS:000443596300058
资助机构	Chinese Academy of Sciences Strategic Leading Science and Technology projects ; Chinese Academy of Sciences Strategic Leading Science and Technology projects ; Strategic Priority Research Program of the Chinese Academy of Sciences ; Strategic Priority Research Program of the Chinese Academy of Sciences ; Chinese Academy of Sciences Strategic Leading Science and Technology projects ; Chinese Academy of Sciences Strategic Leading Science and Technology projects ; Strategic Priority Research Program of the Chinese Academy of Sciences ; Strategic Priority Research Program of the Chinese Academy of Sciences ; Chinese Academy of Sciences Strategic Leading Science and Technology projects ; Chinese Academy of Sciences Strategic Leading Science and Technology projects ; Strategic Priority Research Program of the Chinese Academy of Sciences ; Strategic Priority Research Program of the Chinese Academy of Sciences ; Chinese Academy of Sciences Strategic Leading Science and Technology projects ; Chinese Academy of Sciences Strategic Leading Science and Technology projects ; Strategic Priority Research Program of the Chinese Academy of Sciences ; Strategic Priority Research Program of the Chinese Academy of Sciences
内容类型	期刊论文
源URL	[http://ir.iggcas.ac.cn/handle/132A11/88464]
专题	地质与地球物理研究所_中国科学院地球与行星物理重点实验室
通讯作者	Meng, Weijuan
作者单位	1.Univ Chinese Acad Sci, Inst Geol & Geophys, Key Lab Earth & Planetary Phys, Beijing, Peoples R China 2.China Univ Petr East China, Inst Geol & Geophys, Key Lab Earth & Planetary Phys, Chinese Acad Sci, Dongying, Shandong, Peoples R China
推荐引用方式 GB/T 7714	Meng, Weijuan,Fu, Li-Yun. Numerical dispersion analysis of discontinuous Galerkin method with different basis functions for acoustic and elastic wave equations[J]. GEOPHYSICS,2018,83(3):T87-T101.
APA	Meng, Weijuan,&Fu, Li-Yun.(2018).Numerical dispersion analysis of discontinuous Galerkin method with different basis functions for acoustic and elastic wave equations.GEOPHYSICS,83(3),T87-T101.
MLA	Meng, Weijuan,et al."Numerical dispersion analysis of discontinuous Galerkin method with different basis functions for acoustic and elastic wave equations".GEOPHYSICS 83.3(2018):T87-T101.