AN EFFECTIVE PRECONDITIONER FOR A PML SYSTEM FOR ELECTROMAGNETIC SCATTERING PROBLEM

doi:10.1051/m2an/2014058

	AN EFFECTIVE PRECONDITIONER FOR A PML SYSTEM FOR ELECTROMAGNETIC SCATTERING PROBLEM
	Hu, Qiya1 ; Liu, Chunmei 2; Shu, Shi 2; Zou, Jun 3
	2015-05-01
发表期刊	ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
ISSN	0764-583X
卷号	49 期号:3 页码:839-854
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.
关键词	Maxwell scattering problem edge finite elements PML equations Schur complement-type preconditioner
DOI	10.1051/m2an/2014058
语种	英语
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
WOS类目	Mathematics, Applied
WOS记录号	WOS:000354794100010
出版者	EDP SCIENCES S A
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19812
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.