FAR EASTERN BRANCH OF THE RUSSIAN ACADEMY OF SCIENCES
INSTITUTE OF APPLIED MATHEMATICS KHABAROVSK DIVISION
Far Eastern Mathematical Journal
Penalty method to solve an optimal control problem for a quasilinear parabolic equation |
A.Yu. Chebotarev, N.M. Park, P.R. Mesenev, A.E. Kovtanyuk |
2022, issue 2, P. 158-163 DOI: https://doi.org/10.47910/FEMJ202217 |
Abstract |
| An optimal control problem for a quasilinear parabolic equation simulating the radiative and conductive heat transfer in a bounded three-dimensional domain under constraints on the solution in a given subdomain is considered. The solvability of the optimal control problem is proved. An algorithm for solving the problem, based on the penalty method, is proposed. |
Keywords: Non-linear PDE system, radiative heat transfer, optimal control, penalty method |
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References |
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