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Zh. Vychisl. Mat. Mat. Fiz., 2018, Volume 58, Number 12, Pages 2112–2126 (Mi zvmmf10808)  

Identification of the thermal conductivity coefficient using a given surface heat flux

V. I. Zubova, A. F. Albuab

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

Abstract: 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.

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/S004446690003556-2

References: PDF file   HTML file

English version:
Computational Mathematics and Mathematical Physics, 2018, 58:12, 2031–2042

Bibliographic databases:

UDC: 519.653:519.658
Received: 30.04.2018

Citation: V. I. Zubov, A. F. Albu, “Identification of the thermal conductivity coefficient using a given surface heat flux”, Zh. Vychisl. Mat. Mat. Fiz., 58:12 (2018), 2112–2126; Comput. Math. Math. Phys., 58:12 (2018), 2031–2042

Citation in format AMSBIB
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