FAR EASTERN BRANCH OF THE RUSSIAN ACADEMY OF SCIENCES
INSTITUTE OF APPLIED MATHEMATICS KHABAROVSK DIVISION
Far Eastern Mathematical Journal
Boundary inverse problem for conductive-radiative equations of heat transfer |
Mesenev P.R., Chebotarev A.Yu. |
2018, issue 1, P. 75-84 |
Abstract |
| The boundary inverse problem of finding the reflecting properties of the boundary region for stationary radiation-conductive heat transfer equations in the three-dimensional region is considered. The existence of a quasi-solution of the inverse problem is proved and an optimality system is obtained. An algorithm for solving a problem is presented, the effectiveness of which is illustrated by numerical examples. |
Keywords: radiative heat transfer equations, quasi-solution of the inverse problem, gradient descent method |
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References |
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