A multiscale algorithm for radiative heat transfer equation with rapidly oscillating coefficients

DOI10.1016/j.amc.2015.05.048zbMath1410.80004OpenAlexW583182726MaRDI QIDQ669342

Jizu Huang, Chao Yang, Li-qun Cao

Publication date: 15 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2015.05.048

zbMATH Keywords

homogenizationporous mediacomposite materialsmultiscale asymptotic expansionradiation heat transfer equation

Mathematics Subject Classification ID

Related Items (4)

Multiscale analysis and computation for coupled conduction, convection and radiation heat transfer problem in porous materials ⋮ A multiscale asymptotic expansion for combustion system with composite materials ⋮ A multiscale parallel algorithm for dual-phase-lagging heat conduction equation in composite materials ⋮ Second-order two-scale analysis and numerical algorithm for the damped wave equations of composite materials with quasi-periodic structures

Cites Work

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• Multiscale asymptotic expansion for second order parabolic equations with rapidly oscillating coefficients
• An alternating-direction implicit scheme for parabolic equations with mixed derivatives
• Sur la convergence de solutions d'équations paraboliques
• Asymptotic expansions and numerical algorithms of eigenvalues and eigenfunctions of the Dirichlet problem for second order elliptic equations in perforated domains
• Gradient estimates for solutions to divergence form elliptic equations with discontinuous coefficients
• Elliptic partial differential equations of second order
• Second order corrector in the homogenization of a conductive-radiative heat transfer problem
• Multiscale finite element methods for nonlinear problems and their applications
• Homogenization of a Conductive, Convective, and Radiative Heat Transfer Problem in a Heterogeneous Domain
• Homogenization of a Conductive and Radiative Heat Transfer Problem
• Compactness methods in the theory of homogenization
• G-convergence of parabolic operators
• Estimates for elliptic systems from composite material
• Numerical Homogenization of Nonlinear Random Parabolic Operators
• Global Regularity and Multiscale Approach for Thermal Radiation Heat Transfer
• Theoretical Numerical Analysis
• ASYMPTOTIC EXPANSION AND CONVERGENCE THEOREM OF CONTROL AND OBSERVATION ON THE BOUNDARY FOR SECOND-ORDER ELLIPTIC EQUATION WITH HIGHLY OSCILLATORY COEFFICIENTS
• The Mathematical Theory of Finite Element Methods

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