An inverse source identification by nonlinear optimization in a two-dimensional hyperbolic problem

SUBAŞI M., ŞENDUR F. D., Yasar C.

INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, cilt.29, sa.12, ss.2110-2130, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 29 Sayı: 12
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1080/17415977.2021.1904235
  • Dergi Adı: INVERSE PROBLEMS IN SCIENCE AND ENGINEERING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.2110-2130
  • Anahtar Kelimeler: Inverse problems, hyperbolic equations, finite elements method, optimization
  • Atatürk Üniversitesi Adresli: Evet

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.