An embedded corrector problem to approximate the homogenized coefficients of an elliptic equation

DOI10.1016/j.crma.2015.06.019zbMath1326.35115arXiv1412.6347OpenAlexW2963875859WikidataQ60146768 ScholiaQ60146768MaRDI QIDQ496070

Benjamin Stamm, Frédéric Legoll, Virginie Ehrlacher, Eric Cancès

Publication date: 16 September 2015

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.6347

zbMATH Keywords

diffusion equationoscillatory coefficientsefficient numerical methodsembedded corrector problemhomogenized coefficients

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items (7)

An embedded corrector problem for homogenization. II: Algorithms and discretization ⋮ Computational multiscale methods for quasi-gas dynamic equations ⋮ Computational multiscale method for parabolic wave approximations in heterogeneous media ⋮ An Embedded Corrector Problem for Homogenization. Part I: Theory ⋮ Nonlocal multicontinua with representative volume elements. Bridging separable and non-separable scales ⋮ The choice of representative volumes in the approximation of effective properties of random materials ⋮ A Priori Error Analysis of a Numerical Stochastic Homogenization Method

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• Numerical homogenization: survey, new results, and perspectives

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