Numerical Regularization of Optimal Control for the Coefficient Function in a Wave Equation

Subaşı, Murat; Araz, Seda

doi:10.1007/s40995-019-00690-9

Numerical Regularization of Optimal Control for the Coefficient Function in a Wave Equation

Atıf İçin Kopyala

Subaşı M., Araz S. I.

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, cilt.43, ss.2325-2333, 2019 (SCI-Expanded)

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.