AN EFFECTIVE PRECONDITIONER FOR A PML SYSTEM FOR ELECTROMAGNETIC SCATTERING PROBLEM
文献类型：期刊论文
| 作者 | Hu, Qiya1 ; Liu, Chunmei2; Shu, Shi2; Zou, Jun3
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| 刊名 | ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
 |
| 出版日期 | 2015-05-01 |
| 卷号 | 49期号:3页码:839-854 |
| 关键词 | Maxwell scattering problem edge finite elements PML equations Schur complement-type preconditioner |
| ISSN号 | 0764-583X |
| DOI | 10.1051/m2an/2014058 |
| 英文摘要 | In this work we are concerned with an efficient numerical solution of a perfectly matched layer (PML) system for a Maxwell scattering problem. The PML system is discretized by the edge finite element method, resulting in a symmetric but indefinite complex algebraic system. When the real and imaginary parts are considered independently, the complex algebraic system can be further transformed into a real generalized saddle-point system with some special structure. Based on an crucial observation to its Schur complement, we construct a symmetric and positive definite block diagonal preconditioner for the saddle-point system. Numerical experiments are presented to demonstrate the effectiveness and robustness of the new preconditioner. |
| 资助项目 | Major Research Plan of Natural Science Foundation of China[G91130015] ; Key Project of Natural Science Foundation of China[G11031006] ; National Basic Research Program of China[G2011309702] ; Scientific Research Fund of the Hunan Provincial Education Department of China[12A138] ; Specialized research Fund for the Doctoral Program of Higher Education of China[20124301110003] ; NSFC[11201159] ; NSFC[11426102] ; NSFC[91130002] ; NSFC[11171281] ; Hong Kong RGC[404611] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000354794100010 |
| 出版者 | EDP SCIENCES S A |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19811]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Hu, Qiya |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China 2.Hunan Univ Sci & Engn, Dept Math & Computat Sci, Yongzhou 425199, Hunan, Peoples R China 3.Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China 4.Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Hu, Qiya,Liu, Chunmei,Shu, Shi,et al. AN EFFECTIVE PRECONDITIONER FOR A PML SYSTEM FOR ELECTROMAGNETIC SCATTERING PROBLEM[J]. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE,2015,49(3):839-854. |
| APA | Hu, Qiya,Liu, Chunmei,Shu, Shi,&Zou, Jun.(2015).AN EFFECTIVE PRECONDITIONER FOR A PML SYSTEM FOR ELECTROMAGNETIC SCATTERING PROBLEM.ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE,49(3),839-854. |
| MLA | Hu, Qiya,et al."AN EFFECTIVE PRECONDITIONER FOR A PML SYSTEM FOR ELECTROMAGNETIC SCATTERING PROBLEM".ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE 49.3(2015):839-854. |
入库方式： OAI收割
来源：数学与系统科学研究院
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