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Titel:

Optimal boundary control of a steady-state heat transfer model accounting for radiative effects

Dokumenttyp:
Article
Autor(en):
Kovtanyuk, Audrey E.; Chebotarev, Alexander Yu.; Botkin, Nikolai D.; Hoffmann, Karl-Heinz
Abstract:
A boundary control problem for a nonlinear steady-state heat transfer model accounting for heat radiation effects is considered. The aim of control consists in obtaining a prescribed temperature distribution in a part of the model domain by controlling the boundary temperature. The solvability of this control problem is proven, and optimality conditions are derived. Numerical simulations are presented. (C) 2016 Elsevier Inc. All rights reserved.
Stichworte:
Optimal control; Radiative heat transfer; Conductive heat transfer; Convective heat transfer; Diffusion approximation
Zeitschriftentitel:
J. Math. Anal. Appl.
Jahr:
2016
Band / Volume:
439
Monat:
JUL 15
Heft / Issue:
2
Seitenangaben Beitrag:
678-689
Sprache:
English
Volltext / DOI:
doi:10.1016/j.jmaa.2016.03.016
Verlag / Institution:
ACADEMIC PRESS INC ELSEVIER SCIENCE
Print-ISSN:
0022-247X
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