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

doi:10.1002/mma.8833

	Time-domain PML analysis of a fluid-solid interaction problem above a rough surface
	Wei, Changkun 2; Yang, Jiaqing 3; Zhang, Bo 1,4,5
刊名	MATHEMATICAL METHODS IN THE APPLIED SCIENCES
	2022-11-05
页码	18
关键词	acoustic wave equation elastic wave equation exponential convergence perfectly matched layer stability unbounded rough surface
ISSN号	0170-4214
DOI	10.1002/mma.8833
英文摘要	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.
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
语种	英语
出版者	WILEY
WOS记录号	WOS:000879095800001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/60674]
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Bo
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Beijing Jiaotong Univ, Sch Math & Stat, Beijing, Peoples R China 3.Xi An Jiao Tong Univ, Sch Math & Stat, Xian, Peoples R China 4.Chinese Acad Sci, LSEC, Beijing, 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.