Green Function Formulation and Finite Element Discretization for Solving the Heat Radiative Transfer in a Slab

DOI10.1080/23324309.2016.1179647OpenAlexW2464703486MaRDI QIDQ5068046

Pedro Henrique de Almeida Konzen, F. S. Azevedo, E. Sauter

Publication date: 5 April 2022

Published in: Journal of Computational and Theoretical Transport (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/23324309.2016.1179647

zbMATH Keywords

finite element methodradiative heat transferGreen function decomposition method

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Related Items (1)

Advances in the theory of existence and numerical simulations for the one-dimensional transport equation

Uses Software

• deal.ii
• GSL

Cites Work

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• Simplified \(P_N\) approximations to the equations of radiative heat transfer and applications
• Solution of the one-dimensional transport equation by the vector Green function method: error bounds and simulation
• On an averaging result for transport equations
• Existence Theory for Radiative Flows
• Boundary layers and domain decomposition for radiative heat transfer and diffusion equations: applications to glass manufacturing process
• Solving Nonlinear Equations with Newton's Method
• Existence and uniqueness of solutions of nonlinear systems of conductive-radiative heat transfer equations

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