A new family of fourth-order locally one-dimensional schemes for the three-dimensional wave equation

doi:10.1016/j.cam.2016.07.020

	A new family of fourth-order locally one-dimensional schemes for the three-dimensional wave equation
	Zhang, Wensheng; Jiang, Jiangjun
	2017-02-01
发表期刊	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN	0377-0427
卷号	311 页码:130-147
摘要	In this paper, we present a new family of locally one-dimensional (LOD) schemes with fourth-order accuracy in both space and time for the three-dimensional (3D) acoustic wave equation. It is well-known that high order explicit schemes offer efficient time steppings but with restrictive CFL conditions; implicit discretization gives unconditional stable schemes but with inefficient time steppings. Our LOD schemes can be seen as a compromise between explicit and implicit schemes, in the way that our schemes have more relax CFL conditions compared with traditional explicit schemes and only require solutions of tridiagonal systems of linear algebraic equations, which is more efficient than implicit schemes. Moreover, the new scheme is four-layer in time and three-layer in space, so that boundary conditions can be imposed in the classical way. The computations of the initial conditions for the three intermediate time layers are explicitly constructed. Furthermore, the stability condition is derived and the restriction for the time step is given explicitly. Finally, numerical examples are completed to show the performance of our new method. (C) 2016 Elsevier B.V. All rights reserved.
关键词	3D Acoustic wave equation LOD Fourth-order accuracy Stability Compact
DOI	10.1016/j.cam.2016.07.020
语种	英语
资助项目	National Natural Science Fund Project of China[11471328]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000386403000009
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/23806
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	Chinese Acad Sci, Acad Math & Syst Sci, LSEC, POB 2719, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Wensheng,Jiang, Jiangjun. A new family of fourth-order locally one-dimensional schemes for the three-dimensional wave equation[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2017,311:130-147.
APA	Zhang, Wensheng,&Jiang, Jiangjun.(2017).A new family of fourth-order locally one-dimensional schemes for the three-dimensional wave equation.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,311,130-147.
MLA	Zhang, Wensheng,et al."A new family of fourth-order locally one-dimensional schemes for the three-dimensional wave equation".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 311(2017):130-147.