An adaptive algorithm for determination of source terms in a linear parabolic problem

Erdem A.

JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, cilt.22, sa.4, ss.569-592, 2014 (SCI-Expanded) identifier identifier

  • 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.