Deterministic homogenization for media with barriers

DOI10.3934/dcdss.2015.8.29zbMath1304.35063OpenAlexW2320925055MaRDI QIDQ479067

Vsevolod Laptev

Publication date: 5 December 2014

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2015.8.29

zbMATH Keywords

upscalingcoarse grainingcoefficients with barrierstwo-scale extensions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization applied to problems in fluid mechanics (76M50) Homogenization for problems in thermodynamics and heat transfer (80M40)

Related Items (2)

An attempt at classifying homogenization-based numerical methods ⋮ Preface: Homogenization-Based Numerical Methods

Cites Work

• Generalized multiscale finite element methods (GMsFEM)
• Construction and practical use of two-scaled extensions for rapidly oscillating functions
• Iterative multiscale finite-volume method
• A multiscale finite element method for elliptic problems in composite materials and porous media
• Use of border regions for improved permeability upscaling
• Localized Bases for Finite-Dimensional Homogenization Approximations with Nonseparated Scales and High Contrast
• A new multiscale finite element method for high-contrast elliptic interface problems
• On averaging of the non-periodic conductivity coefficient using two-scale extensions
• Homogenization and Two-Scale Convergence
• A General Convergence Result for a Functional Related to the Theory of Homogenization
• Upscaling: a review

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