AN ADAPTIVE FINITE ELEMENT PML METHOD FOR THE ELASTIC WAVE SCATTERING PROBLEM IN PERIODIC STRUCTURES

doi:10.1051/m2an/2017018

	AN ADAPTIVE FINITE ELEMENT PML METHOD FOR THE ELASTIC WAVE SCATTERING PROBLEM IN PERIODIC STRUCTURES
	Jiang, Xue 1; Li, Peijun 2; Lv, Junliang 3; Zheng, Weiying4,5
	2017-11-17
发表期刊	ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
ISSN	0764-583X
卷号	51 期号:5 页码:2017-2047
摘要	An adaptive finite element method is presented for the elastic scattering of a time-harmonic plane wave by a periodic surface. First, the unbounded physical domain is truncated into a bounded computational domain by introducing the perfectly matched layer (PML) technique. The well-posedness and exponential convergence of the solution are established for the truncated PML problem by developing an equivalent transparent boundary condition. Second, an a posteriori error estimate is deduced for the discrete problem and is used to determine the finite elements for refinements and to determine the PML parameters. Numerical experiments are included to demonstrate the competitive behavior of the proposed adaptive method.
关键词	Elastic wave equation adaptive finite element perfectly matched layer a posteriori error estimate
DOI	10.1051/m2an/2017018
语种	英语
资助项目	China NSF[11401040] ; China NSF[11671052] ; China NSF[11126040] ; China NSF[11301214] ; China NSF[91430215] ; Fundamental Research Funds for the Central Universities[24820152015RC17] ; NSF[DMS-1151308] ; National Magnetic Confinement Fusion Science Program[2015GB110003]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000415868300001
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/26808
专题	计算数学与科学工程计算研究所
通讯作者	Jiang, Xue
作者单位	1.Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China 2.Purdue Univ, Dept Math, W Lafayette, IN 47907 USA 3.Jilin Univ, Sch Math, Changchun 130012, Jilin, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, NCMIS, LSEC, Beijing 100190, Peoples R China 5.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Jiang, Xue,Li, Peijun,Lv, Junliang,et al. AN ADAPTIVE FINITE ELEMENT PML METHOD FOR THE ELASTIC WAVE SCATTERING PROBLEM IN PERIODIC STRUCTURES[J]. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE,2017,51(5):2017-2047.
APA	Jiang, Xue,Li, Peijun,Lv, Junliang,&Zheng, Weiying.(2017).AN ADAPTIVE FINITE ELEMENT PML METHOD FOR THE ELASTIC WAVE SCATTERING PROBLEM IN PERIODIC STRUCTURES.ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE,51(5),2017-2047.
MLA	Jiang, Xue,et al."AN ADAPTIVE FINITE ELEMENT PML METHOD FOR THE ELASTIC WAVE SCATTERING PROBLEM IN PERIODIC STRUCTURES".ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE 51.5(2017):2017-2047.