A new family of fourth-order locally one-dimensional schemes for the 3D elastic wave equation

doi:10.1016/j.cam.2018.08.056

	A new family of fourth-order locally one-dimensional schemes for the 3D elastic wave equation
	Zhang, Wensheng1,2
	2019-03-01
发表期刊	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN	0377-0427
卷号	348 页码:246-260
摘要	In this paper, we present a new family of locally one-dimensional (LOD) schemes with fourth-order accuracy both in space and time for the three-dimensional (3D) elastic wave equation. It is an extension of our previous LOD work on the 3D acoustic wave equation. The method is based on the new family of 3D acoustic LOD schemes with a source term. The constructed scheme is four-layer in time and three-layer in space. It only involves a three-point stencil in each spatial direction to achieve fourth-order accuracy. In each time level, only a tridiagonal system is required to solve. The stability condition is given and it has more relax restriction for the time step than the classical staggered-grid schemes. Numerical computations are completed and show the performance of the new method. (C) 2018 Elsevier B.V. All rights reserved.
关键词	3D Elastic wave equation LOD Fourth-order accuracy Splitting
DOI	10.1016/j.cam.2018.08.056
语种	英语
资助项目	State Key Natural Science Foundation[51739007] ; National Center for Mathematics and Interdisciplinary Sciences, Chinese Academy of Sciences
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000452941400017
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/31967
专题	计算数学与科学工程计算研究所
通讯作者	Zhang, Wensheng
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Wensheng. A new family of fourth-order locally one-dimensional schemes for the 3D elastic wave equation[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2019,348:246-260.
APA	Zhang, Wensheng.(2019).A new family of fourth-order locally one-dimensional schemes for the 3D elastic wave equation.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,348,246-260.
MLA	Zhang, Wensheng."A new family of fourth-order locally one-dimensional schemes for the 3D elastic wave equation".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 348(2019):246-260.