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On the homogenization of thin perforated walls of finite length

Delourme, Bérangère and Schmidt, Kersten and Semin, Adrien (2016):
On the homogenization of thin perforated walls of finite length.
In: Asymptot. Anal., pp. 211-264, 97, (3-4), DOI: 10.3233/ASY-151350,
[Online-Edition: http://content.iospress.com/articles/asymptotic-analysis/asy...],
[Article]

Abstract

The present work deals with the resolution of the Poisson equation in a bounded domain made of a thin and periodic layer of finite length placed into a homogeneous medium. We provide and justify a high order asymptotic expansion which takes into account the boundary layer effect occurring in the vicinity of the periodic layer as well as the corner singularities appearing in the neighborhood of the extremities of the layer. Our approach combines the method of matched asymptotic expansions and the method of periodic surface homogenization.

Item Type: Article
Erschienen: 2016
Creators: Delourme, Bérangère and Schmidt, Kersten and Semin, Adrien
Title: On the homogenization of thin perforated walls of finite length
Language: English
Abstract:

The present work deals with the resolution of the Poisson equation in a bounded domain made of a thin and periodic layer of finite length placed into a homogeneous medium. We provide and justify a high order asymptotic expansion which takes into account the boundary layer effect occurring in the vicinity of the periodic layer as well as the corner singularities appearing in the neighborhood of the extremities of the layer. Our approach combines the method of matched asymptotic expansions and the method of periodic surface homogenization.

Journal or Publication Title: Asymptot. Anal.
Volume: 97
Number: 3-4
Divisions: 04 Department of Mathematics
04 Department of Mathematics > Numerical Analysis and Scientific Computing
Date Deposited: 19 Nov 2018 21:09
DOI: 10.3233/ASY-151350
Official URL: http://content.iospress.com/articles/asymptotic-analysis/asy...
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