A. E. Kovtanyuk, A. Yu. Chebotarev, “Nonlocal unique solvability of a steady-state problem of complex heat transfer”, Zh. Vychisl. Mat. Mat. Fiz., 2016, Volume 56, Number 5,Pages <nobr>816

This article is cited in 12 papers

Nonlocal unique solvability of a steady-state problem of complex heat transfer

A. E. Kovtanyuk^a, A. Yu. Chebotarev^b

^a Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok
^b Far Eastern Federal University, Vladivostok

Abstract: A boundary value problem of radiative-conductive-convective heat transfer in a threedimensional domain is proved to be uniquely solvable. An iterative algorithm is proposed for finding its solution.

Key words: radiative heat transfer, conductive–convective heat transfer, nonlocal unique solvability, iterative algorithm.

UDC: 519.633

Received: 20.02.2014
Revised: 08.12.2015

DOI: 10.7868/S0044466916050112