Numerical Regularization of Optimal Control for the Coefficient Function in a Wave Equation
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, cilt.43, ss.2325-2333, 2019 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 43
- Basım Tarihi: 2019
- Doi Numarası: 10.1007/s40995-019-00690-9
- Dergi Adı: IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.2325-2333
- Anahtar Kelimeler: Optimal control, Regularization, Wave equation
- Atatürk Üniversitesi Adresli: Evet
Özet
This study deals with optimal control of the coefficient function in a wave equation. After displaying the ill-posedness of the problem, a regularized version is considered instead. The stages of finding the optimal control and approximation processes to this control are investigated, respectively. The results of regularization process are tested with numerical examples.