Bloch waves homogenization of a Dirichlet problem in a periodically perforated domain

DOI10.3233/ASY-2008-0912zbMath1200.35022OpenAlexW1698240087MaRDI QIDQ3625949

Rafael Orive-Illera, Delphine Dupuy, Loredana Smaranda

Publication date: 22 May 2009

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3233/asy-2008-0912

zbMATH Keywords

asymptotic behaviorhomogenizationBloch wavesPoisson equationspectral methodperforated domain

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (3)

Asymptotics for eigenvalues of the Laplacian in higher dimensional periodically perforated domains ⋮ \(H\)-convergence and homogenization of non-local elliptic operators in both perforated and non-perforated domains ⋮ Combined effects of homogenization and singular perturbations: a Bloch wave approach

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