FAR EASTERN BRANCH OF THE RUSSIAN ACADEMY OF SCIENCES
INSTITUTE OF APPLIED MATHEMATICS KHABAROVSK DIVISION
Far Eastern Mathematical Journal
Optimization method for solving the inverse problem of complex heat transfer |
P. R. Mesenev |
2023, issue 1, P. 81-84 DOI: https://doi.org/10.47910/FEMJ202307 |
Abstract |
| An optimization method for solving the inverse problem for stationary equations of complex heat transfer with an unspecified boundary condition for the radiation intensity on part of the boundary and an overdetermination condition on the other part of the boundary is proposed. An analysis of a boundary optimal control problem is presented and it is shown that the sequence of solutions of control problems converges to the solution of the inverse problem. |
Keywords: equations of radiative-conductive heat transfer, diffusion approximation, inverse problem, optimal control problem. |
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References |
| [1] A. E. Kovtanyuk, A. Yu. Chebotarev, N. D. Botkin, K.-H. Hoffmann, “The unique solvability of a complex 3D heat transfer problem”, J. Math. Anal. Appl., 409, (2014), 808–815. [2] A. V. Fursikov, Optimal Control of Distributed Systems. Theory and Applications, American Math. Soc., 2000. |