The Bloch approximation in periodically perforated media

DOI10.1007/s00245-005-0822-5zbMath1098.35015OpenAlexW2067789969MaRDI QIDQ814938

N. E. Zubov

Publication date: 8 February 2006

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-005-0822-5

zbMATH Keywords

homogenizationapproximationBloch wave decomposition

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Periodic solutions to PDEs (35B10) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Other special methods applied to PDEs (35A25)

Related Items

Asymptotics for eigenvalues of the Laplacian in higher dimensional periodically perforated domains ⋮ Combined effects of homogenization and singular perturbations: a Bloch wave approach