An Adaptive Uniaxial Perfectly Matched Layer Method for Time-Harmonic Scattering Problems
文献类型：期刊论文
| 作者 | Chen, Zhiming ; Wu, Xinming
|
| 刊名 | NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS
 |
| 出版日期 | 2008-05-01 |
| 卷号 | 1期号:2页码:113-137 |
| 关键词 | Adaptivity uniaxial perfectly matched layer a posteriori error analysis acoustic scattering problems |
| ISSN号 | 1004-8979 |
| 英文摘要 | The uniaxial perfectly matched layer (PML) method uses rectangular domain to define the PML problem and thus provides greater flexibility and efficiency in dealing with problems involving anisotropic scatterers. In this paper an adaptive uniaxial PML technique for solving the time harmonic Helmholtz scattering problem is developed. The PML parameters such as the thickness of the layer and the fictitious medium property are determined through sharp a posteriori error estimates. The adaptive finite element method based on a posteriori error estimate is proposed to solve the PML equation which produces automatically a coarse mesh size away from the fixed domain and thus makes the total computational costs insensitive to the thickness of the PML absorbing layer. Numerical experiments are included to illustrate the competitive behavior of the proposed adaptive method. In particular, it is demonstrated that the PML layer can be chosen as close to one wave-length from the scatterer and still yields good accuracy and efficiency in approximating the far fields. |
| 资助项目 | China NSF[10428105] ; National Basic Research Project[2005CB321701] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000207473900002 |
| 出版者 | GLOBAL SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/6579]  |
| 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 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, Zhiming,Wu, Xinming. An Adaptive Uniaxial Perfectly Matched Layer Method for Time-Harmonic Scattering Problems[J]. NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS,2008,1(2):113-137. |
| APA | Chen, Zhiming,&Wu, Xinming.(2008).An Adaptive Uniaxial Perfectly Matched Layer Method for Time-Harmonic Scattering Problems.NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS,1(2),113-137. |
| MLA | Chen, Zhiming,et al."An Adaptive Uniaxial Perfectly Matched Layer Method for Time-Harmonic Scattering Problems".NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS 1.2(2008):113-137. |
入库方式： OAI收割
来源：数学与系统科学研究院
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