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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 PublicationMATHEMATICAL METHODS IN THE APPLIED SCIENCES
ISSN0170-4214
Pages18
AbstractThis 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.
Keywordacoustic wave equation elastic wave equation exponential convergence perfectly matched layer stability unbounded rough surface
DOI10.1002/mma.8833
Indexed BySCI
Language英语
Funding ProjectTalent Fund of Beijing Jiaotong University[2022XKRC001] ; NNSF of China[12122114] ; NNSF of China[11771349] ; NNSF of China[12201033]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000879095800001
PublisherWILEY
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/60675
Collection应用数学研究所
Corresponding AuthorZhang, Bo
Affiliation1.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
Recommended Citation
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.
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