CONVERGENCE OF THE PML SOLUTION FOR ELASTIC WAVE SCATTERING BY BIPERIODIC STRUCTURES

	CONVERGENCE OF THE PML SOLUTION FOR ELASTIC WAVE SCATTERING BY BIPERIODIC STRUCTURES
	Jiang, Xue 1; Li, Peijun 2; Lv, Junliang 3; Zheng, Weiying4,5
	2018
发表期刊	COMMUNICATIONS IN MATHEMATICAL SCIENCES
ISSN	1539-6746
卷号	16 期号:4 页码:987-1016
摘要	This paper is concerned with the analysis of elastic wave scattering of a time-harmonic plane wave by a biperiodic rigid surface, where the wave propagation is governed by the three-dimensional Navier equation. An exact transparent boundary condition is developed to reduce the scattering problem equivalently into a boundary value problem in a bounded domain. The Perfectly Matched Layer (PML) technique is adopted to truncate the unbounded physical domain into a bounded computational domain. The well-posedness and exponential convergence of the solution are established for the truncated PML problem by developing a PML equivalent transparent boundary condition. The proofs rely on a careful study of the error between the two transparent boundary operators. The work significantly extends the results from one-dimensional periodic structures to two-dimensional biperiodic structures. Numerical experiments are included to demonstrate the competitive behavior of the proposed method.
关键词	Elastic wave equation perfectly matched layer biperiodic structures transparent boundary condition
语种	英语
资助项目	National Natural Science Foundation of China[11301214] ; National Natural Science Foundation of China[11771057] ; National Natural Science Foundation of China[11401040] ; National Natural Science Foundation of China[11671052] ; NSF[DMS-1151308] ; Science Challenge Project[TZ2016002] ; National Natural Science Fund for Distinguished Young Scholars[11725106] ; China NSF[91430215] ; National Magnetic Confinement Fusion Science Program[2015GB110003]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000448798000004
出版者	INT PRESS BOSTON, INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/31650
专题	计算数学与科学工程计算研究所
通讯作者	Lv, Junliang
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, Inst Computat Math & Sci Engn Comp, NCMIS,LSEC, Beijing 100190, Peoples R China 5.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Jiang, Xue,Li, Peijun,Lv, Junliang,et al. CONVERGENCE OF THE PML SOLUTION FOR ELASTIC WAVE SCATTERING BY BIPERIODIC STRUCTURES[J]. COMMUNICATIONS IN MATHEMATICAL SCIENCES,2018,16(4):987-1016.
APA	Jiang, Xue,Li, Peijun,Lv, Junliang,&Zheng, Weiying.(2018).CONVERGENCE OF THE PML SOLUTION FOR ELASTIC WAVE SCATTERING BY BIPERIODIC STRUCTURES.COMMUNICATIONS IN MATHEMATICAL SCIENCES,16(4),987-1016.
MLA	Jiang, Xue,et al."CONVERGENCE OF THE PML SOLUTION FOR ELASTIC WAVE SCATTERING BY BIPERIODIC STRUCTURES".COMMUNICATIONS IN MATHEMATICAL SCIENCES 16.4(2018):987-1016.