Stefan Kindermann,
"A numerical investigation of Newton-type methods applied to a parabolic inverse problem"
, in Journal of Inverse and Ill-Posed Problems, Vol. 7, Nummer 6, Seite(n) 541-560, 1999, S. Kindermann, A numerical investigation of Newton-type methods applied to a parabolic inverse problem, J. Inv. Ill-Posed Problems 7 (1999), 541-560
Original Titel:
A numerical investigation of Newton-type methods applied to a parabolic inverse problem
Sprache des Titels:
Englisch
Englische Kurzfassung:
In this paper a parabolic parameter identification problem is investigated. The problem is formulated as a nonlinear operator equation between Hilbertspaces, and the Frechet-differentiability is shown. We use Newton-type methods to examine under which conditions they give a
reasonable numerical approximation. The experiments show in particular the importance of the source condition.
Journal:
Journal of Inverse and Ill-Posed Problems
Volume:
7
Number:
6
Seitenreferenz:
541-560
Erscheinungsjahr:
1999
Notiz zum Zitat:
S. Kindermann, A numerical investigation of Newton-type methods applied to a parabolic inverse problem, J. Inv. Ill-Posed Problems 7 (1999), 541-560
Forschungs-