KMS Of Academy of mathematics and systems sciences, CAS
| CONVERGENCE ANALYSIS OF THE PML METHOD FOR TIME-DOMAIN ELECTROMAGNETIC SCATTERING PROBLEMS | |
Wei, Changkun1,2; Yang, Jiaqing3; Zhang, Bo1,2,4
| |
| 2020 | |
| Source Publication | SIAM JOURNAL ON NUMERICAL ANALYSIS
 |
| ISSN | 0036-1429 |
| Volume | 58Issue:3Pages:1918-1940 |
| Abstract | 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. |
| Keyword | well-posedness stability time-domain electromagnetic scattering PML exponential convergence |
| DOI | 10.1137/19M126517X |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[91630309] ; National Natural Science Foundation of China[11771349] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000546992400021 |
| Publisher | SIAM PUBLICATIONS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/51751 |
| Collection | 应用数学研究所 |
| Corresponding Author | Wei, Changkun |
| Affiliation | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, 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 |
| Recommended Citation 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. |
| Files in This Item: | There are no files associated with this item. | |||||
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment