Global Regularity and Multiscale Approach for Thermal Radiation Heat Transfer
DOI10.1137/130919702zbMath1317.65191OpenAlexW1979028575MaRDI QIDQ5250349
Publication date: 19 May 2015
Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/130919702
convergenceweak solutiondiscontinuous coefficientshomogenizationcomposite materialsRothe methodmultiscale asymptotic expansionrapidly oscillating coefficientsthermal radiation heat transfer
Heat equation (35K05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) PDEs with low regular coefficients and/or low regular data (35R05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Interior Hölder and gradient estimates for the homogenization of the linear elliptic equations
- Local existence, uniqueness and smooth dependence for nonsmooth quasilinear parabolic problems
- Multiscale asymptotic expansion for second order parabolic equations with rapidly oscillating coefficients
- Non-homogeneous media and vibration theory
- Sur la convergence de solutions d'équations paraboliques
- Gradient estimates for solutions to divergence form elliptic equations with discontinuous coefficients
- Multiscale finite element methods for nonlinear problems and their applications
- Multiscale Asymptotic Method for Maxwell's Equations in Composite Materials
- Homogenization of a Conductive and Radiative Heat Transfer Problem
- Compactness methods in the theory of homogenization
- Elliptic Partial Differential Equations of Second Order
- Existence and stability of solutions for semi-linear parabolic systems, and applications to some diffusion reaction equations
- G-convergence of parabolic operators
- Weighted Lp estimates of solutions to boundary value problems for second order elliptic systems in polyhedral domains
- Estimates for elliptic systems from composite material
- Numerical Homogenization of Nonlinear Random Parabolic Operators
- Asymptotic Transport Models for Heat and Mass Transfer in Reactive Porous Media
- Non-local quasi-linear parabolic equations