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.
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ACKNOWLEDGMENTS
This work was supported by the Russian Foundation for Basic Research, project no. 17-07-00493a.
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Translated by I. Ruzanova
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Albu, A.F., Zubov, V.I. Identification of Thermal Conductivity Coefficient Using a Given Temperature Field. Comput. Math. and Math. Phys. 58, 1585–1599 (2018). https://doi.org/10.1134/S0965542518100032
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DOI: https://doi.org/10.1134/S0965542518100032