Radiative heating of a glass plate: the semi-discrete problem (second revision)

DOI10.1007/S13370-018-0542-ZzbMATH Open1399.65263OpenAlexW2792399201MaRDI QIDQ1703444

Luc Paquet

Publication date: 2 March 2018

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-018-0542-z

zbMATH Keywords

a priori error estimateselliptic projectionnonlinear heat-conduction equationPlanck functionsemi-discrete problemradiative heat flux in a glass plateregularity of the exact solution and of its time derivative

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Integro-partial differential equations (45K05) Initial-boundary value problems for second-order parabolic equations (35K20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Cites Work

• Radiative heating of a glass plate
• An introduction to partial differential equations
• Multi-group full-spectrum \(k\)-distribution database for water vapor mixtures in radiative transfer calculations.
• Control of the radiative heating of a glass plate
• Adaptive computation for boundary control of radiative heat transfer in glass
• Optimal control of radiative heat transfer in glass cooling with restrictions on the temperature gradient
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Related Items (3)

Control of the radiative heating of a semi-transparent body ⋮ Title not available (Why is that?) ⋮ Semidiscrete approximations for the stationary radiative-conductive heat transfer problem in a two-dimensional system of plates

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