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

文献类型：期刊论文

作者Wei, Changkun2; Yang, Jiaqing3; Zhang, Bo1,4,5
刊名MATHEMATICAL METHODS IN THE APPLIED SCIENCES
出版日期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
DOI10.1002/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
WOS记录号WOS:000879095800001
出版者WILEY
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/60674]  
专题应用数学研究所
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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