An optimization method for the problems of thermal cloaking of material bodies

被引：21

作者：

Alekseev, G. V. ^{[1
,3
]}

Levin, V. A. ^{[2
,3
]}

机构：

[1] Russian Acad Sci, Inst Appl Math, Far East Branch, Vladivostok 690041, Russia

[2] Russian Acad Sci, Inst Automat & Control Proc, Far East Branch, Vladivostok 690041, Russia

[3] Far East Fed Univ, Vladivostok 690950, Russia

来源：

DOKLADY PHYSICS | 2016年 / 61卷 / 11期

基金：

俄罗斯基础研究基金会;

关键词：

D O I：

10.1134/S102833581611001X

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Inverse heat-transfer problems related to constructing special thermal devices such as cloaking shells, thermal-illusion or thermal-camouflage devices, and heat-flux concentrators are studied. The heatdiffusion equation with a variable heat-conductivity coefficient is used as the initial heat-transfer model. An optimization method is used to reduce the above inverse problems to the respective control problem. The solvability of the above control problem is proved, an optimality system that describes necessary extremum conditions is derived, and a numerical algorithm for solving the control problem is proposed.

引用

页码：546 / 550

页数：5

共 11 条

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