An adaptive algorithm for determination of source terms in a linear parabolic problem
JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, cilt.22, sa.4, ss.569-592, 2014 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 22 Sayı: 4
- Basım Tarihi: 2014
- Doi Numarası: 10.1515/jip-2013-0019
- Dergi Adı: JOURNAL OF INVERSE AND ILL-POSED PROBLEMS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.569-592
- Kocaeli Üniversitesi Adresli: Evet
Özet
This paper investigates an adaptive algorithm for identification of source terms w := {F (x, t); p (t)} in the linear parabolic equation u(t) = u(xx) + F (x, t) and Robin boundary condition -u(x) (l, t) = nu[u (l, t) - p (t)] from the measured final data and the measurement of the temperature in a subregion. This is based on the minimization of Tikhonov functional. We pursue the approach iteratively regularized gradient method. Results with the adaptive algorithm are presented.