Computational Mathematics and Mathematical Physics

, Volume 58, Issue 12, pp 2031–2042 | Cite as

Identification of the Thermal Conductivity Coefficient Using a Given Surface Heat Flux

  • A. F. Albu
  • V. I. ZubovEmail author


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.


heat conduction inverse coefficient problems gradient heat equation adjoint equations numerical algorithm 



This work was supported in part by the Russian Foundation for Basic Research, no. 17-07-00493a.


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Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,” Russian Academy of SciencesMoscowRussia
  2. 2.Moscow Institute of Physics and Technology (State University)DolgoprudnyiRussia

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