Identification of Thermal Conductivity Coefficient Using a Given Temperature Field

作     者：Albu, A. F. Zubov, V. I. 

作者机构：Russian Acad Sci Fed Res Ctr Comp Sci & Control Dorodnicyn Comp Ctr Moscow 119333 Russia State Univ Moscow Inst Phys & Technol Dolgoprudnyi 141700 Moscow Oblast Russia 

出 版 物：《COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS》 (计算数学与数理物理学)

年 卷 期：2018年第58卷第10期

页      面：1585-1599页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 0702[理学-物理学] 

基　　金：Russian Foundation for Basic Research [17-07-00493a] 

主　　题：heat conduction inverse coefficient problems gradient heat equation adjoint equations numerical algorithm 

摘      要：The problem of determining the temperature-dependent thermal conductivity coefficient is studied. The study is based on the Dirichlet boundary value problem for the two-dimensional nonstationary heat equation. The cost functional is defined as the rms deviation of the temperature field from experimental data. For the numerical solution of the problem, an algorithm based on the modern fast automatic differentiation technique is proposed. Examples of solving the posed problem are given.