Article
2021
·
0 citations
An inverse source identification by nonlinear optimization in a two-dimensional hyperbolic problem
Abstract
This study deals with the identification of source function from final time state observation in a two-dimensional hyperbolic problem. The solution to the direct problem is obtained by the weak solution approach and finite element method. In the part of the inverse problem, the trust-region method and Levenberg-Marquardt method, which are nonlinear least-squares optimization methods, are used for the identification of source function. The findings are presented with numerical examples.
Keywords
Inverse problems
hyperbolic equations
finite elements method
optimization
EQUATION
WoS Categories
Engineering, Multidisciplinary
Mathematics, Interdisciplinary Applications
Citation
- Journal
- INVERSE PROBLEMS IN SCIENCE AND ENGINEERING
- Year
- 2021
- Volume
- 29
- Issue
- 12
- Pages
- 2110-2130
- ISSN
- 1741-5977
- eISSN
- 1741-5985
- DOI
- 10.1080/17415977.2021.1904235
- WoS UID
- WOS:000639074700001