A note on iterations-based derivations of high-order homogenization correctors for multiscale semi-linear elliptic equations

DOI10.1016/j.aml.2016.02.009zbMath1338.35029arXiv1601.01851OpenAlexW2226592418MaRDI QIDQ274247

Vo Anh Khoa, Adrian Muntean

Publication date: 22 April 2016

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.01851

zbMATH Keywords

elliptic systemscorrector estimatesformal two-scale homogenization asymptoticsmonotone iterationsperforated domains

Mathematics Subject Classification ID

Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (1)

On a pore-scale stationary diffusion equation: scaling effects and correctors for the homogenization limit

Cites Work

• Unnamed Item
• Unnamed Item
• Asymptotic analysis of a semi-linear elliptic system in perforated domains: well-posedness and correctors for the homogenization limit
• Rigorous homogenization of a Stokes-Nernst-Planck-Poisson system
• A finite difference scheme for nonlinear ultra-parabolic equations
• Diffusion, convection, adsorption, and reaction of chemicals in porous media
• Homogenization of reticulated structures
• Mixed finite elements for the Richards' equation: linearization procedure
• Effective macroscopic interfacial transport equations in strongly heterogeneous environments for general homogeneous free energies
• A robust linearization scheme for finite volume based discretizations for simulation of two-phase flow in porous media

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