Homogenization of Discrete High-Contrast Energies

DOI10.1137/140975668zbMath1321.49023OpenAlexW1806650276MaRDI QIDQ2943502

Andrey L. Piatnitski, Valeria Chiado' Piat, Andrea Braides

Publication date: 3 September 2015

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/a57482ce9e3db8bffe3a13326299b1e2b3242ade

zbMATH Keywords

homogenization\(\Gamma\)-convergencevariational techniquesdouble-porosity modelshigh-contrast energies

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (10)

An uncoupled limit model for a high-contrast problem in a thin multi-structure ⋮ Homogenization of quadratic convolution energies in periodically perforated domains ⋮ Some remarks on the homogenization of immiscible incompressible two-phase flow in double porosity media ⋮ Homogenization of discrete thin structures ⋮ Scaling limit of symmetric random walk in high-contrast periodic environment ⋮ A homogenization result for interacting elastic and brittle media ⋮ Homogenization of High-contrast Mumford--Shah Energies ⋮ Limit models for thin heterogeneous structures with high contrast ⋮ An extension theorem from connected sets and homogenization of non-local functionals ⋮ Homogenization of random convolution energies

Cites Work

• Homogenization of a strongly heteregeneous elastic medium
• Two-scale \(\Gamma \)-convergence of integral functionals and its application to homogenisation of nonlinear high-contrast periodic composites
• Multiphase double-porosity homogenization for perimeter functionals
• Double-porosity homogenization for perimeter functionals
• Derivation of the Double Porosity Model of Single Phase Flow via Homogenization Theory
• An extension theorem from connected sets, and homogenization in general periodic domains
• Homogenization and Two-Scale Convergence
• A General Convergence Result for a Functional Related to the Theory of Homogenization
• On an extension of the method of two-scale convergence and its applications
• A General Integral Representation Result for Continuum Limits of Discrete Energies with Superlinear Growth
• Convergence of the Homogenization Process for a Double-Porosity Model of Immiscible Two-Phase Flow
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