Two-scale regularity for homogenization problems with nonsmooth fine scale geometry

被引：2
|
作者：
Matache, AM [1 ]
机构：
[1] ETH, Seminar Angew Math, CH-8092 Zurich, Switzerland
[2] MPI Math Nat Wissensch, D-04103 Leipzig, Germany
来源：
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2003年 / 13卷 / 07期
关键词：
two-scale regularity; analytic regulaxity; countably normed spaces; two-scale finite element method;
D O I：
10.1142/S0218202503002817
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Elliptic problems on unbounded domains with periodic coefficients and geometries are analyzed and two-scale regularity results for the solution are given. These axe based on a detailed analysis in weighted Sobolev spaces of the so-called unit-cell problem in which the critical parameters (the period e, the wave number t, and the differentiation order) enter explicitly.
引用
收藏
页码：1053 / 1080
页数：28
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