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- Document type:
- Article
- Author(s):
- Grenkin, Gleb V.; Chebotarev, Alexander Yu.; Kovtanyuk, Andrey E.; Botkin, Nikolai D.; Hoffmann, Karl-Heinz
- Title:
- Boundary optimal control problem of complex heat transfer model
- 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.
- Keywords:
- Optimal control; Radiative heat transfer; Conductive heat transfer; Convective heat transfer; Bang-bang
- Journal title:
- J. Math. Anal. Appl.
- Year:
- 2016
- Journal volume:
- 433
- Month:
- JAN 15
- Journal issue:
- 2
- Pages contribution:
- 1243-1260
- Language:
- English
- Fulltext / DOI:
- doi:10.1016/j.jmaa.2015.08.049
- Publisher:
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Print-ISSN:
- 0022-247X
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