| Title | Convexification Numerical Method for a Coefficient Inverse Problem for the Radiative Transport Equation |
| Author | |
| Corresponding Author | Li, Jingzhi |
| Publication Years | 2023
|
| DOI | |
| Source Title | |
| ISSN | 1936-4954
|
| Volume | 16Issue:1 |
| Abstract | An (n +1)-D coefficient inverse problem for the stationary radiative transport equation is considered for the first time. A globally convergent so-called convexification numerical method is developed and its convergence analysis is provided. The analysis is based on a Carleman estimate. Extensive numerical studies in the two-dimensional case are presented. |
| Keywords | |
| URL | [Source Record] |
| Indexed By | |
| Language | English
|
| SUSTech Authorship | Corresponding
|
| Funding Project | National Natural Science Foundation of China[11971221]
; Guangdong NSF Major Fund[2021ZDZX1001]
; Shenzhen Sci-Tech Funds["R-CJC20200714114556020","JCYJ20200109115422828","JCYJ20190809150413261"]
; National Science Foundation[DMS-2208159]
; Faculty Research Grant program at UNC Charlotte[111272]
|
| WOS Research Area | Computer Science
; Mathematics
; Imaging Science & Photographic Technology
|
| WOS Subject | Computer Science, Artificial Intelligence
; Computer Science, Software Engineering
; Mathematics, Applied
; Imaging Science & Photographic Technology
|
| WOS Accession No | WOS:000961374300002
|
| Publisher | |
| Data Source | Web of Science
|
| Citation statistics |
Cited Times [WOS]:0
|
| Document Type | Journal Article |
| Identifier | http://kc.sustech.edu.cn/handle/2SGJ60CL/527722 |
| Department | Department of Mathematics |
| Affiliation | 1.Univ North Carolina Charlotte, Dept Math & Stat, Charlotte, NC 28223 USA 2.Southern Univ Sci & Technol, Natl Ctr Appl Math Shenzhen, SUSTech Int Ctr Math, Dept Math, Shenzhen 518055, Peoples R China 3.Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Peoples R China |
| Corresponding Author Affilication | Department of Mathematics |
| Recommended Citation GB/T 7714 |
Klibanov, Michael V.,Li, Jingzhi,Nguyen, Loc H.,et al. Convexification Numerical Method for a Coefficient Inverse Problem for the Radiative Transport Equation[J]. SIAM JOURNAL ON IMAGING SCIENCES,2023,16(1).
|
| APA |
Klibanov, Michael V.,Li, Jingzhi,Nguyen, Loc H.,&Yang, Zhipeng.(2023).Convexification Numerical Method for a Coefficient Inverse Problem for the Radiative Transport Equation.SIAM JOURNAL ON IMAGING SCIENCES,16(1).
|
| MLA |
Klibanov, Michael V.,et al."Convexification Numerical Method for a Coefficient Inverse Problem for the Radiative Transport Equation".SIAM JOURNAL ON IMAGING SCIENCES 16.1(2023).
|
| Files in This Item: | There are no files associated with this item. | |||||
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