Functional optimization technique for numerical solution of the radiative transfer equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 3, pp. 504-514
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A numerical method for solving the time-independent radiative transfer problem in a flat layer with given properties and temperature distribution is proposed. This method avoids the numerical diffusion; rather, it is based on a gradient procedure for the functional minimization of the residual of the radiative transfer integral equation. Means for suppressing computational instabilities are proposed that reduce requirements for the approximation of the operators in the optimization problem but do not change the problem objective functional.
@article{ZVMMF_2011_51_3_a8,
author = {O. M. Alifanov and V. V. Cherepanov},
title = {Functional optimization technique for numerical solution of the radiative transfer equation},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {504--514},
publisher = {mathdoc},
volume = {51},
number = {3},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_3_a8/}
}
TY - JOUR AU - O. M. Alifanov AU - V. V. Cherepanov TI - Functional optimization technique for numerical solution of the radiative transfer equation JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2011 SP - 504 EP - 514 VL - 51 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_3_a8/ LA - ru ID - ZVMMF_2011_51_3_a8 ER -
%0 Journal Article %A O. M. Alifanov %A V. V. Cherepanov %T Functional optimization technique for numerical solution of the radiative transfer equation %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2011 %P 504-514 %V 51 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_3_a8/ %G ru %F ZVMMF_2011_51_3_a8
O. M. Alifanov; V. V. Cherepanov. Functional optimization technique for numerical solution of the radiative transfer equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 3, pp. 504-514. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_3_a8/