KMS Of Academy of mathematics and systems sciences, CAS
| WELL-POSEDNESS AND THE MULTISCALE ALGORITHM FOR HETEROGENEOUS SCATTERING OF MAXWELL'S EQUATIONS IN DISPERSIVE MEDIA | |
| Zhang, Yongwei1; Cao, Liqun2,3; Shi, Dongyang1 | |
| 2021 | |
| Source Publication | INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
 |
| ISSN | 1705-5105 |
| Volume | 18Issue:2Pages:235-264 |
| Abstract | This paper discusses the well-posedness and the multiscale algorithm for the heterogeneous scattering of Maxwell's equations in dispersive media with a periodic microstructure or with many subdivided periodic microstructures. An exact transparent boundary condition is developed to reduce the scattering problem into an initial-boundary value problem in heterogeneous materials. The well-posedness and the stability analysis for the reduced problem are derived. The multiscale asymptotic expansions of the solution for the reduced problem are presented. The convergence results of the multiscale asymptotic method are proved for the dispersive media with a periodic microstructure. A multiscale Crank-Nicolson mixed finite element method (FEM) is proposed where the perfectly matched layer (PML) is utilized to truncate infinite domain problems. Numerical test studies are then carried out to validate the theoretical results. |
| Keyword | Maxwell's equations dispersive medium well-posedness the multiscale asymptotic expansion finite element method |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[11971030] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied ; Mathematics |
| WOS ID | WOS:000625383900005 |
| Publisher | ISCI-INST SCIENTIFIC COMPUTING & INFORMATION |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/58291 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Cao, Liqun |
| Affiliation | 1.Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, NCMIS,LSEC, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Beijing 100147, Peoples R China |
| Recommended Citation GB/T 7714 | Zhang, Yongwei,Cao, Liqun,Shi, Dongyang. WELL-POSEDNESS AND THE MULTISCALE ALGORITHM FOR HETEROGENEOUS SCATTERING OF MAXWELL'S EQUATIONS IN DISPERSIVE MEDIA[J]. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,2021,18(2):235-264. |
| APA | Zhang, Yongwei,Cao, Liqun,&Shi, Dongyang.(2021).WELL-POSEDNESS AND THE MULTISCALE ALGORITHM FOR HETEROGENEOUS SCATTERING OF MAXWELL'S EQUATIONS IN DISPERSIVE MEDIA.INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,18(2),235-264. |
| MLA | Zhang, Yongwei,et al."WELL-POSEDNESS AND THE MULTISCALE ALGORITHM FOR HETEROGENEOUS SCATTERING OF MAXWELL'S EQUATIONS IN DISPERSIVE MEDIA".INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING 18.2(2021):235-264. |
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