CONVERGENCE OF THE TIME-DOMAIN PERFECTLY MATCHED LAYER METHOD FOR ACOUSTIC SCATTERING PROBLEMS
文献类型：期刊论文
| 作者 | Chen, Zhiming
|
| 刊名 | INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
 |
| 出版日期 | 2009 |
| 卷号 | 6期号:1页码:124-146 |
| 关键词 | perfectly matched layer acoustic scattering exponential convergence stability |
| ISSN号 | 1705-5105 |
| 英文摘要 | In this paper we establish the stability and convergence of the time-domain perfectly matched layer (PML) method for solving the acoustic scattering problems. We first prove the well-posedness and the stability of the time-dependent acoustic scattering problem with the Dirichlet-to-Neumann boundary condition. Next we show the well-posedness of the unsplit-field PML method for the acoustic scattering problems. Then we prove the exponential convergence of the non-splitting PML method in terms of the thickness and medium property of the artificial PML layer. The proof depends on a stability result of the PML system for constant medium property and an exponential decay estimate of the modified Bessel functions. |
| 语种 | 英语 |
| WOS记录号 | WOS:000264008000007 |
| 出版者 | ISCI-INST SCIENTIFIC COMPUTING & INFORMATION |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/8385]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Chen, Zhiming |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, Zhiming. CONVERGENCE OF THE TIME-DOMAIN PERFECTLY MATCHED LAYER METHOD FOR ACOUSTIC SCATTERING PROBLEMS[J]. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,2009,6(1):124-146. |
| APA | Chen, Zhiming.(2009).CONVERGENCE OF THE TIME-DOMAIN PERFECTLY MATCHED LAYER METHOD FOR ACOUSTIC SCATTERING PROBLEMS.INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,6(1),124-146. |
| MLA | Chen, Zhiming."CONVERGENCE OF THE TIME-DOMAIN PERFECTLY MATCHED LAYER METHOD FOR ACOUSTIC SCATTERING PROBLEMS".INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING 6.1(2009):124-146. |
入库方式： OAI收割
来源：数学与系统科学研究院
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