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H-0-convergence and iterated homogenization

Abstract : In this paper we give a general iterative method for the homogenization of elliptic problems in perforated domains with finitely many periodic scales. It is derived from a more general result, where only one (the biggest) scale is assumed to be epsilon-periodic. For the smaller scales, only H-0-convergence is assumed. In the case of finitely many periodic scales, explicit formulas for the homogenized operators are obtained.
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https://hal-upec-upem.archives-ouvertes.fr/hal-00693114
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Submitted on : Tuesday, May 1, 2012 - 8:22:11 PM
Last modification on : Thursday, March 19, 2020 - 12:26:02 PM

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  • HAL Id : hal-00693114, version 1

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Alain Damlamian, P Donato. H-0-convergence and iterated homogenization. Asymptotic Analysis, IOS Press, 2004, 39 (1), pp.45--60. ⟨hal-00693114⟩

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