Time-domain PML analysis of a fluid-solid interaction problem above a rough surface

doi:10.1002/mma.8833

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	Time-domain PML analysis of a fluid-solid interaction problem above a rough surface
	Wei, Changkun 1; Yang, Jiaqing 2; Zhang, Bo3,4,5
	2022-11-05
发表期刊	MATHEMATICAL METHODS IN THE APPLIED SCIENCES
ISSN	0170-4214
页码	18
摘要	This paper is concerned with the time-dependent acoustic-elastic interaction problem associated with a bounded elastic body immersed in a homogeneous air or fluid above an unbounded rough surface. The well-posedness and stability of the problem are first established by using the Laplace transform and the energy method. A perfectly matched layer (PML) is then introduced to truncate the interaction problem above a finite layer containing the elastic body, leading to a PML problem in a finite strip domain. We further establish the existence, uniqueness, and stability estimate of solutions to the PML problem. Finally, we prove the exponential convergence of the PML problem in terms of the thickness and parameter of the PML, based on establishing an error estimate between the DtN operators of the original problem and the PML problem.
关键词	acoustic wave equation elastic wave equation exponential convergence perfectly matched layer stability unbounded rough surface
DOI	10.1002/mma.8833
收录类别	SCI
语种	英语
资助项目	Talent Fund of Beijing Jiaotong University[2022XKRC001] ; NNSF of China[12122114] ; NNSF of China[11771349] ; NNSF of China[12201033]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000879095800001
出版者	WILEY
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/60675
专题	应用数学研究所
通讯作者	Zhang, Bo
作者单位	1.Beijing Jiaotong Univ, Sch Math & Stat, Beijing, Peoples R China 2.Xi An Jiao Tong Univ, Sch Math & Stat, Xian, Peoples R China 3.Chinese Acad Sci, LSEC, Beijing, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 5.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Wei, Changkun,Yang, Jiaqing,Zhang, Bo. Time-domain PML analysis of a fluid-solid interaction problem above a rough surface[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES,2022:18.
APA	Wei, Changkun,Yang, Jiaqing,&Zhang, Bo.(2022).Time-domain PML analysis of a fluid-solid interaction problem above a rough surface.MATHEMATICAL METHODS IN THE APPLIED SCIENCES,18.
MLA	Wei, Changkun,et al."Time-domain PML analysis of a fluid-solid interaction problem above a rough surface".MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2022):18.