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 Zh. Vychisl. Mat. Mat. Fiz., 2018, Volume 58, Number 10, Pages 1640–1655 (Mi zvmmf10791)

Identification of thermal conductivity coefficient using a given temperature field

A. F. Albua, V. I. Zubovba

a Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control”, Russian Academy of Sciences, Moscow, Russia
b Moscow Institute of Physics and Technology (State University), Dolgoprudnyi, Russia

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.

Key words: heat conduction, inverse coefficient problems, gradient, heat equation, adjoint equations, numerical algorithm.

 Funding Agency Grant Number Russian Foundation for Basic Research 17-07-00493_a

DOI: https://doi.org/10.31857/S004446690003584-3

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English version:
Computational Mathematics and Mathematical Physics, 2018, 58:10, 1585–1599

Bibliographic databases:

UDC: 519.633

Citation: A. F. Albu, V. I. Zubov, “Identification of thermal conductivity coefficient using a given temperature field”, Zh. Vychisl. Mat. Mat. Fiz., 58:10 (2018), 1640–1655; Comput. Math. Math. Phys., 58:10 (2018), 1585–1599

Citation in format AMSBIB
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• http://mi.mathnet.ru/eng/zvmmf10791
• http://mi.mathnet.ru/eng/zvmmf/v58/i10/p1640

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. Capistran M.A., Infante del Rio J.A., “Estimating a Pressure Dependent Thermal Conductivity Coefficient With Applications in Food Technology”, Inverse Probl. Sci. Eng.
2. V. I. Zubov, A. F. Albu, “Identification of the thermal conductivity coefficient using a given surface heat flux”, Comput. Math. Math. Phys., 58:12 (2018), 2031–2042