Fourier approach to homogenization problems

Conca, Carlos ; Vanninathan, M. (2002) Fourier approach to homogenization problems ESAIM: Control, Optimisation and Calculus of Variations, 8 . pp. 489-511. ISSN 1292-8119

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This article is divided into two chapters. The classical problem of homogenization of elliptic operators with periodically oscillating coefficients is revisited in the first chapter. Following a Fourier approach, we discuss some of the basic issues of the subject: main convergence theorem, Bloch approximation, estimates on second order derivatives, correctors for the medium, and so on. The second chapter is devoted to the discussion of some non-classical behaviour of vibration problems of periodic structures.

Item Type:Article
Source:Copyright of this article belongs to EDP Sciences.
Keywords:Homogenization; Bloch Waves; Correctors; Regularity; Spectral Problems; Vibration Problems
ID Code:55400
Deposited On:18 Aug 2011 07:05
Last Modified:18 May 2016 07:41

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