Convexification for an inverse parabolic problem

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 oppose...

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Bibliographic Details
Published inInverse problems Vol. 36; no. 8; pp. 85008 - 85039
Main Authors Klibanov, Michael V, Li, Jingzhi, Zhang, Wenlong
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.08.2020
Subjects
Carleman estimate
coefficient inverse problem
convexification
globally convergent numerical method
numerical studies
parabolic equation
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ISSN0266-5611
1361-6420
DOI10.1088/1361-6420/ab9893

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Summary: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.
Bibliography:IP-102575.R2
ISSN:0266-5611
1361-6420
DOI:10.1088/1361-6420/ab9893