Convexification for an inverse parabolic problem

被引：29
作者：
Klibanov, Michael, V [1 ]
Li, Jingzhi [2 ]
Zhang, Wenlong [2 ]
机构：
[1] Univ North Carolina Charlotte, Dept Math & Stat, Charlotte, NC 28223 USA
[2] Southern Univ Sci & Technol SUSTech, Dept Math, Shenzhen, Guangdong, Peoples R China
来源：
INVERSE PROBLEMS | 2020年 / 36卷 / 08期
关键词：
parabolic equation; coefficient inverse problem; globally convergent numerical method; convexification; Carleman estimate; numerical studies; CONVEXITY; RECOVERY;
D O I：
10.1088/1361-6420/ab9893
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A convexification-based numerical method for a coefficient inverse problem for a parabolic PDE is presented. The key element of this method is the presence of the so-called Carleman weight function in the numerical scheme. Convergence analysis ensures the global convergence of this method, as opposed to the local convergence of the conventional least squares minimization techniques. Numerical results demonstrate a good performance.
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页数：32
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