Boundary optimal control problem of complex heat transfer model

被引：28
|
作者：
Grenkin, Gleb V. [1 ,2 ]
Chebotarev, Alexander Yu. [1 ,2 ]
Kovtanyuk, Andrey E. [1 ,2 ]
Botkin, Nikolai D. [3 ]
Hoffmann, Karl-Heinz [3 ]
机构：
[1] Far Eastern Fed Univ, Vladivostok 690950, Russia
[2] Inst Appl Math FEB RAS, Vladivostok 690041, Russia
[3] Tech Univ Munich, Zentrum Math, D-85747 Garching, Germany
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2016年 / 433卷 / 02期
基金：
俄罗斯科学基金会;
关键词：
Optimal control; Radiative heat transfer; Conductive heat transfer; Convective heat transfer; Bang-bang;
D O I：
10.1016/j.jmaa.2015.08.049
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：1243 / 1260
页数：18
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