Analysis of an Optimization Method for Solving the Problem of Complex Heat Transfer with Cauchy Boundary Conditions

An optimization method is proposed for solving a boundary value problem with Cauchy conditions for the equations of radiative-conductive heat transfer in the -approximation of the radiative transfer equation. Theoretical analysis of the corresponding problem of boundary optimal control is carried ou...

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Bibliographic Details
Published in:Computational mathematics and mathematical physics 2022, Vol.62 (1), p.33-41
Main Authors: Mesenev, P. R., Chebotarev, A. Yu
Format: Article
Language:English
Subjects:
Boundary conditions
Boundary value problems
Computational Mathematics and Numerical Analysis
Conductive heat transfer
Mathematics
Mathematics and Statistics
Optimal Control
Optimization
Radiative transfer
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Summary:An optimization method is proposed for solving a boundary value problem with Cauchy conditions for the equations of radiative-conductive heat transfer in the -approximation of the radiative transfer equation. Theoretical analysis of the corresponding problem of boundary optimal control is carried out. It is shown that a sequence of solutions of extremal problems converges to the solution of the boundary value problem with the Cauchy conditions for temperature. The results of theoretical analysis are illustrated with numerical examples.
ISSN:0965-5425
1555-6662
DOI:10.1134/S0965542522010092