Exponential convergence of Cartesian PML method for Maxwell's equations in a two-layer medium
文献类型：期刊论文
| 作者 | Duan, Xiaoqi1,3; Jiang, Xue4; Zheng, Weiying1,2 |
| 刊名 | ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
 |
| 出版日期 | 2020-04-09 |
| 卷号 | 54期号:3页码:929-956 |
| 关键词 | Cartesian perfectly matched layer exponential convergence electromagnetic scattering problem Maxwell's equation two-layer medium |
| ISSN号 | 0764-583X |
| DOI | 10.1051/m2an/2019082 |
| 英文摘要 | The perfectly matched layer (PML) method is extensively studied for scattering problems in homogeneous background media. However, rigorous studies on the PML method in layered media are very rare in the literature, particularly, for three-dimensional electromagnetic scattering problems. Cartesian PML method is favorable in numerical solutions since it is apt to deal with anisotropic scatterers and to construct finite element meshes. Its theories are more difficult than circular PML method due to anisotropic wave-absorbing materials. This paper presents a systematic study on the Cartesian PML method for three-dimensional electromagnetic scattering problem in a two-layer medium. We prove the well-posedness of the PML truncated problem and that the PML solution converges exponentially to the exact solution as either the material parameter or the thickness of PML increases. To the best of the authors' knowledge, this is the first theoretical work on Cartesian PML method for Maxwell's equations in layered media. |
| 资助项目 | National Science Fund for Distinguished Young Scholars[11725106] ; China NSF[11831016] ; China NSF[11771057] ; China NSF[11671052] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000526853400001 |
| 出版者 | EDP SCIENCES S A |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/51196]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zheng, Weiying |
| 作者单位 | 1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, NCMIS, LSEC, Beijing, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China 4.Beijing Univ Technol, Coll Appl Sci, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Duan, Xiaoqi,Jiang, Xue,Zheng, Weiying. Exponential convergence of Cartesian PML method for Maxwell's equations in a two-layer medium[J]. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE,2020,54(3):929-956. |
| APA | Duan, Xiaoqi,Jiang, Xue,&Zheng, Weiying.(2020).Exponential convergence of Cartesian PML method for Maxwell's equations in a two-layer medium.ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE,54(3),929-956. |
| MLA | Duan, Xiaoqi,et al."Exponential convergence of Cartesian PML method for Maxwell's equations in a two-layer medium".ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE 54.3(2020):929-956. |
入库方式： OAI收割
来源：数学与系统科学研究院
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