Convergence analysis of a coefficient inverse problem for the semi-discrete damped wave equation | |
Zhang, Wensheng1,2; Zhao, Zhongliu1 | |
刊名 | APPLICABLE ANALYSIS
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2020-06-19 | |
页码 | 26 |
关键词 | Discrete Carleman estimates damped wave equation coefficient inverse problem semi-discrete convergence |
ISSN号 | 0003-6811 |
DOI | 10.1080/00036811.2020.1781826 |
英文摘要 | 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. |
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 |
语种 | 英语 |
出版者 | TAYLOR & FRANCIS LTD |
WOS记录号 | WOS:000547095600001 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/51792] ![]() |
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. |
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