Far Eastern Mathematical Journal

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Boundary inverse problem for conductive-radiative equations of heat transfer


Mesenev P.R., Chebotarev A.Yu.

2018, issue 1, Ń. 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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