On One Approach to the Numerical Solution of a Coefficient Inverse Problem

被引：0
|
作者：
Albu, A. F. [1 ]
Evtushenko, Yu G. [1 ]
Zubov, V., I [1 ]
机构：
[1] Russian Acad Sci, Fed Res Ctr Comp Sci & Control, Moscow 119333, Russia
来源：
DOKLADY MATHEMATICS | 2021年 / 104卷 / 01期
基金：
俄罗斯科学基金会;
关键词：
coefficient inverse problems; nonlinear problems; heat equation; optimal control; numerical optimization methods; fast automatic differentiation;
D O I：
10.1134/S1064562421040025
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An approach to solving the problem of determining the thermal conductivity coefficient of a substance based on the results of observing the dynamics of the temperature field is proposed. The effectiveness of the proposed approach is based on the application of the modern fast automatic differentiation methodology. The required thermal conductivity coefficient is determined from the solution of the formulated optimal control problem.
引用
收藏
页码：208 / 211
页数：4
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