A new family of fourth-order locally one-dimensional schemes for the 3D elastic wave equation | |
Zhang, Wensheng1,2![]() | |
刊名 | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
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2019-03-01 | |
卷号 | 348页码:246-260 |
关键词 | 3D Elastic wave equation LOD Fourth-order accuracy Splitting |
ISSN号 | 0377-0427 |
DOI | 10.1016/j.cam.2018.08.056 |
英文摘要 | 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. |
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 |
语种 | 英语 |
出版者 | ELSEVIER SCIENCE BV |
WOS记录号 | WOS:000452941400017 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/31966] ![]() |
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.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, 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. |
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