THE PERIODIC UNFOLDING METHOD IN DOMAINS WITH HOLES

被引：134
|
作者：
Cioranescu, D. [1 ]
Damlamian, A. [2 ]
Donato, P. [3 ]
Griso, G. [1 ]
Zaki, R. [4 ]
机构：
[1] Univ Paris 06, CNRS, Lab JL Lions, F-75005 Paris, France
[2] Univ Paris Est, CNRS UMR 8050, Ctr Multidisciplinaire Creteil, Lab Anal & Math Appl, F-94010 Creteil, France
[3] Univ Rouen, Lab Math Raphael Salem, CNRS UMR 6085, F-76801 St Etienne De Rouvray, France
[4] Khalifa Univ Sci Technol & Res, Abu Dhabi, U Arab Emirates
来源：
SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2012年 / 44卷 / 02期
关键词：
periodic homogenization; periodic unfolding; perforated domains; boundary unfolding; multiscale homogenization; PERFORATED DOMAINS; BOUNDARY-CONDITIONS; HOMOGENIZATION; CONVERGENCE;
D O I：
10.1137/100817942
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give a comprehensive presentation of the periodic unfolding method for perforated domains, both when the unit hole is a compact subset of the open unit cell and when this is impossible to achieve. In order to apply the method to boundary-value problems with non-homogeneous Neumann conditions on the boundaries of the holes, the properties of the boundary unfolding operator are also extensively studied. The paper concludes with applications to such problems and examples of reiterated unfolding.
引用
收藏
页码：718 / 760
页数：43
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