Quasi-static diffusion model of complex heat transfer with reflection and refraction conditions

DOI10.1016/j.jmaa.2021.125745zbMath1480.35374OpenAlexW3206118270MaRDI QIDQ2247721

Andrey E. Kovtanyuk, Alexander Yu. Chebotarev

Publication date: 17 November 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125745

zbMATH Keywords

weak solutionfinite element methodvariational formulationexistence and uniquenessradiative-conductive heat transfernumerical resolutionnonlinear initial-boundary value problemreflection and refractionparabolic-elliptic problemstabilization of the temperature field

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Weak solutions to PDEs (35D30) Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Diffusive and convective heat and mass transfer, heat flow (80A19) Radiative heat transfer (80A21)

Related Items (3)

Initial-boundary value problem for the equations of radiative heat transfer with Fresnel conjugation conditions ⋮ Inhomogeneous problem for quasi-stationary equations of complex heat transfer with reflection and refraction conditions ⋮ Optimal control of quasi-stationary equations of complex heat transfer with reflection and refraction conditions

Uses Software

• FreeFem++

Cites Work

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