A new family of fourth-order locally one-dimensional schemes for the three-dimensional wave equation
文献类型：期刊论文
| 作者 | Zhang, Wensheng ; Jiang, Jiangjun
|
| 刊名 | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
 |
| 出版日期 | 2017-02-01 |
| 卷号 | 311页码:130-147 |
| 关键词 | 3D Acoustic wave equation LOD Fourth-order accuracy Stability Compact |
| ISSN号 | 0377-0427 |
| DOI | 10.1016/j.cam.2016.07.020 |
| 英文摘要 | 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. |
| 资助项目 | National Natural Science Fund Project of China[11471328] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000386403000009 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/23805]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。