Makale
Tam Makale
Uluslararası
2021
An inverse source identification by nonlinear optimization in a two-dimensional hyperbolic problem
INVERSE PROBLEMS IN SCIENCE AND ENGINEERING
Cilt 29 · Sayı 12 · ss. 2110–2130 · 01.12.2021
Özet
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.
Anahtar kelimeler
OPTIMIZATION
Inverse problems
hyperbolic equations
finite elements method
Atıf için künye
Subaşı, M., Şendur, F. D., & Yasar, C. (2021). An inverse source identification by nonlinear optimization in a two-dimensional hyperbolic problem. INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 29(12), 2110–2130. https://doi.org/10.1080/17415977.2021.1904235
BibTeX
@article{subasi2021-74350,
author = {Subaşı, Murat and Şendur, Faika Derya and Yasar, Cavide},
title = {An inverse source identification by nonlinear optimization in a two-dimensional hyperbolic problem},
journal = {INVERSE PROBLEMS IN SCIENCE AND ENGINEERING},
year = {2021},
volume = {29},
number = {12},
pages = {2110--2130},
issn = {1741-5977},
doi = {10.1080/17415977.2021.1904235},
url = {https://akademik.atauni.edu.tr/yayinlar/74350-an-inverse-source-identification-by-nonlinear-optimization-in-a-two-dimensional}
}