KMS Of Academy of mathematics and systems sciences, CAS
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 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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