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Titel:

Boundary optimal control problem of complex heat transfer model

Dokumenttyp:
Article
Autor(en):
Grenkin, Gleb V.; Chebotarev, Alexander Yu.; Kovtanyuk, Andrey E.; Botkin, Nikolai D.; Hoffmann, Karl-Heinz
Abstract:
A boundary optimal control problem of complex heat transfer is under consideration. The problem is composed of a nonstationary heat transfer equation and the steadystate P1 approximation of the radiative heat transfer. The control parameter is related to the reflection coefficient of the boundary. The solvability of the control problem is proven, and the optimality system is derived. Results of numerical simulations are presented. (C) 2015 Elsevier Inc. All rights reserved.
Stichworte:
Optimal control; Radiative heat transfer; Conductive heat transfer; Convective heat transfer; Bang-bang
Zeitschriftentitel:
J. Math. Anal. Appl.
Jahr:
2016
Band / Volume:
433
Monat:
JAN 15
Heft / Issue:
2
Seitenangaben Beitrag:
1243-1260
Sprache:
English
Volltext / DOI:
doi:10.1016/j.jmaa.2015.08.049
Verlag / Institution:
ACADEMIC PRESS INC ELSEVIER SCIENCE
Print-ISSN:
0022-247X
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