CONVERGENCE ANALYSIS OF THE PML METHOD FOR TIME-DOMAIN ELECTROMAGNETIC SCATTERING PROBLEMS
文献类型：期刊论文
| 作者 | Wei, Changkun1,2; Yang, Jiaqing3; Zhang, Bo1,2,4
|
| 刊名 | SIAM JOURNAL ON NUMERICAL ANALYSIS
 |
| 出版日期 | 2020 |
| 卷号 | 58期号:3页码:1918-1940 |
| 关键词 | well-posedness stability time-domain electromagnetic scattering PML exponential convergence |
| ISSN号 | 0036-1429 |
| DOI | 10.1137/19M126517X |
| 英文摘要 | In this paper, a perfectly matched layer (PML) method is proposed to solve the time-domain electromagnetic scattering problems in three dimensions effectively. The PML problem is defined in a spherical layer and derived by using the Laplace transform and real coordinate stretching in the frequency domain. The well-posedness and the stability estimate of the PML problem are first proved based on the Laplace transform and the energy method. The exponential convergence of the PML method is then established in terms of the thickness of the layer and the PML absorbing parameter. As far as we know, this is the first convergence result for the time-domain PML method for the three-dimensional Maxwell equations. Our proof is mainly based on the stability estimates of solutions of the truncated PML problem and the exponential decay estimates of the stretched dyadic Green's function for the Maxwell equations in the free space. |
| 资助项目 | National Natural Science Foundation of China[91630309] ; National Natural Science Foundation of China[11771349] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000546992400021 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/51750]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Wei, Changkun |
| 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, Beijing 100190, Peoples R China 3.Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China 4.Chinese Acad Sci, LSEC, NCMIS, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wei, Changkun,Yang, Jiaqing,Zhang, Bo. CONVERGENCE ANALYSIS OF THE PML METHOD FOR TIME-DOMAIN ELECTROMAGNETIC SCATTERING PROBLEMS[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2020,58(3):1918-1940. |
| APA | Wei, Changkun,Yang, Jiaqing,&Zhang, Bo.(2020).CONVERGENCE ANALYSIS OF THE PML METHOD FOR TIME-DOMAIN ELECTROMAGNETIC SCATTERING PROBLEMS.SIAM JOURNAL ON NUMERICAL ANALYSIS,58(3),1918-1940. |
| MLA | Wei, Changkun,et al."CONVERGENCE ANALYSIS OF THE PML METHOD FOR TIME-DOMAIN ELECTROMAGNETIC SCATTERING PROBLEMS".SIAM JOURNAL ON NUMERICAL ANALYSIS 58.3(2020):1918-1940. |
入库方式： OAI收割
来源：数学与系统科学研究院
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