In the framework of P1 approximation, for a multicomponent domain, an analysis of the quasi-stationary model of complex (radiative-conductive) heat transfer accounting for reflection and refraction effects at the boundaries of subdomains is performed. For the nonlinear parabolic-elliptic system, a priori estimates of the solution are obtained, on the basis of which the unique solvability of the initial -boundary value problem with reflection and refraction conditions is proved. In numerical experiments, an influence of radiation effects on the temperature field and its stabilization is studied. (c) 2021 Elsevier Inc. All rights reserved.     «

In the framework of P1 approximation, for a multicomponent domain, an analysis of the quasi-stationary model of complex (radiative-conductive) heat transfer accounting for reflection and refraction effects at the boundaries of subdomains is performed. For the nonlinear parabolic-elliptic system, a priori estimates of the solution are obtained, on the basis of which the unique solvability of the initial -boundary value problem with reflection and refraction conditions is proved. In numerical expe...     »