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 Time-domain PML analysis of a fluid-solid interaction problem above a rough surface Wei, Changkun1; Yang, Jiaqing2; Zhang, Bo3,4,5 2022-11-05 Source Publication MATHEMATICAL METHODS IN THE APPLIED SCIENCES ISSN 0170-4214 Pages 18 Abstract 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. Keyword acoustic wave equation elastic wave equation exponential convergence perfectly matched layer stability unbounded rough surface DOI 10.1002/mma.8833 Indexed By SCI Language 英语 Funding Project Talent Fund of Beijing Jiaotong University[2022XKRC001] ; NNSF of China[12122114] ; NNSF of China[11771349] ; NNSF of China[12201033] WOS Research Area Mathematics WOS Subject Mathematics, Applied WOS ID WOS:000879095800001 Publisher WILEY Citation statistics Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/60675 Collection 应用数学研究所 Corresponding Author Zhang, Bo Affiliation 1.Beijing Jiaotong Univ, Sch Math & Stat, Beijing, Peoples R China2.Xi An Jiao Tong Univ, Sch Math & Stat, Xian, Peoples R China3.Chinese Acad Sci, LSEC, Beijing, Peoples R China4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China5.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China Recommended CitationGB/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.
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