Identification of the Thermal Conductivity Coefficient Using a Given Surface Heat Flux


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详细

The inverse problem of determining a 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 surface heat flux 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.

作者简介

A. Albu

Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,”
Russian Academy of Sciences

Email: zubov@ccas.ru
俄罗斯联邦, Moscow, 119333

V. Zubov

Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,”
Russian Academy of Sciences; Moscow Institute of Physics and Technology (State University)

编辑信件的主要联系方式.
Email: zubov@ccas.ru
俄罗斯联邦, Moscow, 119333; Dolgoprudnyi, Moscow oblast, 141700

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