Convergence analysis of a coefficient inverse problem for the semi-discrete damped wave equation

doi:10.1080/00036811.2020.1781826

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	Convergence analysis of a coefficient inverse problem for the semi-discrete damped wave equation
	Zhang, Wensheng 1,2; Zhao, Zhongliu 1
	2020-06-19
发表期刊	APPLICABLE ANALYSIS
ISSN	0003-6811
页码	26
摘要	In 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.
关键词	Discrete Carleman estimates damped wave equation coefficient inverse problem semi-discrete convergence
DOI	10.1080/00036811.2020.1781826
收录类别	SCI
语种	英语
资助项目	National 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研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000547095600001
出版者	TAYLOR & FRANCIS LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/51793
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Wensheng
作者单位	1.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
推荐引用方式 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.