TY - JOUR
T1 - A Two-Scale Asymptotic Analysis of a Time-Harmonic Scattering Problem with a Multi Layered Thin Periodic Domain
AU - Mounir Tlemcani
JO - Communications in Computational Physics
VL - 4
SP - 758
EP - 776
PY - 2009
DA - 2009/06
SN - 6
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cicp/7704.html
KW - 
AB - <p style="text-align: justify;">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.</p>