KMS Of Academy of mathematics and systems sciences, CAS
| Convergence of the uniaxial PML method for time-domain electromagnetic scattering problems | |
Wei, Changkun1,2; Yang, Jiaqing3; Zhang, Bo4,5,6
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| 2021-10-26 | |
| Source Publication | ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
 |
| ISSN | 0764-583X |
| Volume | 55Issue:5Pages:2421-2443 |
| Abstract | In this paper, we propose and study the uniaxial perfectly matched layer (PML) method for three-dimensional time-domain electromagnetic scattering problems, which has a great advantage over the spherical one in dealing with problems involving anisotropic scatterers. The truncated uniaxial PML problem is proved to be well-posed and stable, based on the Laplace transform technique and the energy method. Moreover, the L-2-norm and L-infinity-norm error estimates in time are given between the solutions of the original scattering problem and the truncated PML problem, leading to the exponential convergence of the time-domain uniaxial PML method in terms of the thickness and absorbing parameters of the PML layer. The proof depends on the error analysis between the EtM operators for the original scattering problem and the truncated PML problem, which is different from our previous work (Wei et al. [SIAM J. Numer. Anal. 58 (2020) 1918-1940]). |
| Keyword | Well-posedness stability time-domain electromagnetic scattering uniaxial PML exponential convergence |
| DOI | 10.1051/m2an/2021064 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | NNSF of China[12122114] ; NNSF of China[11771349] ; Basic Science Research Program through the National Research Foundation of Korea (NRF) - Ministry of Education[NRF-2020R1I1A1A01073356] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000711122500001 |
| Publisher | EDP SCIENCES S A |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/59484 |
| Collection | 应用数学研究所 |
| Corresponding Author | Yang, Jiaqing |
| Affiliation | 1.Beijing Jiaotong Univ, Sch Sci, Dept Math, Beijing 100044, Peoples R China 2.Seoul Natl Univ, Res Inst Math, Seoul 08826, South Korea 3.Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China 4.Chinese Acad Sci, NCMIS, LSEC, Beijing 100190, Peoples R China 5.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 6.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| Recommended Citation GB/T 7714 | Wei, Changkun,Yang, Jiaqing,Zhang, Bo. Convergence of the uniaxial PML method for time-domain electromagnetic scattering problems[J]. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE,2021,55(5):2421-2443. |
| APA | Wei, Changkun,Yang, Jiaqing,&Zhang, Bo.(2021).Convergence of the uniaxial PML method for time-domain electromagnetic scattering problems.ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE,55(5),2421-2443. |
| MLA | Wei, Changkun,et al."Convergence of the uniaxial PML method for time-domain electromagnetic scattering problems".ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE 55.5(2021):2421-2443. |
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