Volume 6, Issue 4
A Two-scale Asymptotic Analysis of a Time-harmonic Scattering Problem with a Multi Layered Thin Periodic Domain

Mounir Tlemcani

Commun. Comput. Phys., 6 (2009), pp. 758-776.

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  • Abstract

The scope of this paper is to show how a two-scale asymptotic analysis, based on a superposition principle, allows us to derive high order approximate boundary conditions for a scattering problem of a time-harmonic wave by a thin and tangentially periodic multi-layered domain. The periods are assumed of the same order of the thickness. New terms like memory effect and variance-covariance ones are observed contrarily to the laminar case. As a result, optimal error estimates are obtained.

  • History

Published online: 2009-06

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