Geodesic
An algorithm for solving the boundary value problem of radiation heat transfer without boundary conditions for radiation intensity
Dalʹnevostočnyj matematičeskij žurnal, Tome 20 (2020) no. 1, pp. 114-122

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An optimization algorithm for solving the boundary value problem for the stationary equations of radiation-conductive heat transfer in the threedimensional region is presented in the framework of the $ P_1 $ - approximation of the radiation transfer equation. The analysis of the optimal control problem that approximates the boundary value problem where they are not defined boundary conditions for radiation intensity. Theoretical analysis is illustrated by numerical examples. 
@article{DVMG_2020_20_1_a11,
     author = {A. Yu. Chebotarev and P. R. Mesenev},
     title = {An algorithm for solving the boundary value problem of radiation heat transfer without boundary conditions for radiation intensity},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {114--122},
     publisher = {mathdoc},
     volume = {20},
     number = {1},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2020_20_1_a11/}
}
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A. Yu. Chebotarev; P. R. Mesenev. An algorithm for solving the boundary value problem of radiation heat transfer without boundary conditions for radiation intensity. Dalʹnevostočnyj matematičeskij žurnal, Tome 20 (2020) no. 1, pp. 114-122. http://geodesic.mathdoc.fr/item/DVMG_2020_20_1_a11/