CONVERGENCE OF THE UNIAXIAL PERFECTLY MATCHED LAYER METHOD FOR TIME-HARMONIC SCATTERING PROBLEMS IN TWO-LAYERED MEDIA

doi:10.1137/090750603

	CONVERGENCE OF THE UNIAXIAL PERFECTLY MATCHED LAYER METHOD FOR TIME-HARMONIC SCATTERING PROBLEMS IN TWO-LAYERED MEDIA
	Chen, Zhiming; Zheng, Weiying
	2010
发表期刊	SIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN	0036-1429
卷号	48 期号:6 页码:2158-2185
摘要	In this paper, we propose a uniaxial perfectly matched layer (PML) method for solving the time-harmonic scattering problems in two-layered media. The exterior region of the scatterer is divided into two half spaces by an infinite plane, on two sides of which the wave number takes different values. We surround the computational domain where the scattering field is interested by a PML with the uniaxial medium property. By imposing homogeneous boundary condition on the outer boundary of the PML, we show that the solution of the PML problem converges exponentially to the solution of the original scattering problem in the computational domain as either the PML absorbing coefficient or the thickness of the PML tends to infinity.
关键词	uniaxial perfectly matched layer time-harmonic scattering problem two-layered media
DOI	10.1137/090750603
语种	英语
资助项目	China NSF[11021101] ; China NSF[60873177] ; National Basic Research Project[2005CB321701] ; National Basic Research Project[2011CB309700] ; National Basic Research Project[2005CB321702]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000285551300007
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/9914
专题	计算数学与科学工程计算研究所
通讯作者	Chen, Zhiming
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Chen, Zhiming,Zheng, Weiying. CONVERGENCE OF THE UNIAXIAL PERFECTLY MATCHED LAYER METHOD FOR TIME-HARMONIC SCATTERING PROBLEMS IN TWO-LAYERED MEDIA[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2010,48(6):2158-2185.
APA	Chen, Zhiming,&Zheng, Weiying.(2010).CONVERGENCE OF THE UNIAXIAL PERFECTLY MATCHED LAYER METHOD FOR TIME-HARMONIC SCATTERING PROBLEMS IN TWO-LAYERED MEDIA.SIAM JOURNAL ON NUMERICAL ANALYSIS,48(6),2158-2185.
MLA	Chen, Zhiming,et al."CONVERGENCE OF THE UNIAXIAL PERFECTLY MATCHED LAYER METHOD FOR TIME-HARMONIC SCATTERING PROBLEMS IN TWO-LAYERED MEDIA".SIAM JOURNAL ON NUMERICAL ANALYSIS 48.6(2010):2158-2185.