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Convergence analysis of a coefficient inverse problem for the semi-discrete damped wave equation
Zhang, Wensheng1,2; Zhao, Zhongliu1
2020-06-19
Source PublicationAPPLICABLE ANALYSIS
ISSN0003-6811
Pages26
AbstractIn this paper, we study the convergence of a coefficient inverse problem for the two dimensional semi-discrete damped wave equation. Based on the new discrete Carleman estimates for the semi-discrete wave operator, the uniform stability estimate is proved. Then we prove the convergence of the semi-discrete scheme with respect to the discretization grid steph>0.
KeywordDiscrete Carleman estimates damped wave equation coefficient inverse problem semi-discrete convergence
DOI10.1080/00036811.2020.1781826
Indexed BySCI
Language英语
Funding ProjectNational Natural Science Foundation of China[11471328] ; National Natural Science Foundation of China[51739007] ; National Center for Mathematics and Interdisciplinary Sciences, Chinese Academy of Sciences
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000547095600001
PublisherTAYLOR & FRANCIS LTD
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/51793
Collection中国科学院数学与系统科学研究院
Corresponding AuthorZhang, Wensheng
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing, Peoples R China
2.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China
Recommended Citation
GB/T 7714
Zhang, Wensheng,Zhao, Zhongliu. Convergence analysis of a coefficient inverse problem for the semi-discrete damped wave equation[J]. APPLICABLE ANALYSIS,2020:26.
APA Zhang, Wensheng,&Zhao, Zhongliu.(2020).Convergence analysis of a coefficient inverse problem for the semi-discrete damped wave equation.APPLICABLE ANALYSIS,26.
MLA Zhang, Wensheng,et al."Convergence analysis of a coefficient inverse problem for the semi-discrete damped wave equation".APPLICABLE ANALYSIS (2020):26.
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