Identification of the Thermal Conductivity Coefficient Using a Given Surface Heat Flux
- Авторы: Albu A.F.1, Zubov V.I.1,2
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Учреждения:
- Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,” Russian Academy of Sciences
- Moscow Institute of Physics and Technology (State University)
- Выпуск: Том 58, № 12 (2018)
- Страницы: 2031-2042
- Раздел: Article
- URL: https://journals.rcsi.science/0965-5425/article/view/180297
- DOI: https://doi.org/10.1134/S0965542518120023
- ID: 180297
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Аннотация
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.
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Об авторах
A. Albu
Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,”Russian Academy of Sciences
Email: zubov@ccas.ru
Россия, 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)
Автор, ответственный за переписку.
Email: zubov@ccas.ru
Россия, Moscow, 119333; Dolgoprudnyi, Moscow oblast, 141700
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