Analysis of a full discretization scheme for \(2D\) radiative-conductive heat transfer systems

DOI10.1016/j.cam.2018.06.028zbMath1462.65142OpenAlexW2823781139MaRDI QIDQ1624614

Didier Schmitt, Jean Rodolphe Roche, Mohamed Ghattassi

Publication date: 16 November 2018

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2018.06.028

zbMATH Keywords

Galerkin methoderror estimatesCrank-Nicolson schemeBanach fixed point theoremradiative-conductive heat transfer

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Integro-partial differential equations (35R09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Radiative heat transfer (80A21)

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