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


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Resumo

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.

Sobre autores

A. Albu

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

Email: zubov@ccas.ru
Rússia, 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)

Autor responsável pela correspondência
Email: zubov@ccas.ru
Rússia, Moscow, 119333; Dolgoprudnyi, Moscow oblast, 141700

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