Email this article Identification of Thermal Conductivity Coefficient Using a Given Temperature Field
- Authors: Albu A.F.1, Zubov V.I.1,2
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Affiliations:
- Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,” Russian Academy of Sciences
- Moscow Institute of Physics and Technology (State University)
- Issue: Vol 58, No 10 (2018)
- Pages: 1585-1599
- Section: Article
- URL: https://journals.rcsi.science/0965-5425/article/view/179876
- DOI: https://doi.org/10.1134/S0965542518100032
- ID: 179876
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Abstract
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.
About the authors
A. F. Albu
Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,”Russian Academy of Sciences
Email: zubov@ccas.ru
Russian Federation, Moscow, 119333
V. I. Zubov
Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,”Russian Academy of Sciences; Moscow Institute of Physics and Technology (State University)
Author for correspondence.
Email: zubov@ccas.ru
Russian Federation, Moscow, 119333; Dolgoprudnyi, Moscow oblast, 141700
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