Abstract
An approach to solving the problem of determining the thermal conductivity coefficient of a substance based on the results of observing the dynamics of the temperature field is proposed. The effectiveness of the proposed approach is based on the application of the modern fast automatic differentiation methodology. The required thermal conductivity coefficient is determined from the solution of the formulated optimal control problem.
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Funding
This work was supported by the Russian Science Foundation, project no. 21-71-30005.
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Translated by I. Ruzanova
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Albu, A.F., Evtushenko, Y.G. & Zubov, V.I. On One Approach to the Numerical Solution of a Coefficient Inverse Problem. Dokl. Math. 104, 208–211 (2021). https://doi.org/10.1134/S1064562421040025
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DOI: https://doi.org/10.1134/S1064562421040025