Error estimate of the homogenization solution for elliptic problems with small periodic coefficients on L∞(Ω)

被引：6
|
作者：
He WenMing [1 ,2 ]
Cui JunZhi [3 ]
机构：
[1] Wenzhou Univ, Dept Math, Wenzhou 325035, Peoples R China
[2] Zhejiang Univ, Sch Aeronaut & Astronaut, Hangzhou 310027, Zhejiang, Peoples R China
[3] Chinese Acad Sci, LSEC, ICMSEC, Acad Math & Syst Sci, Beijing 100190, Peoples R China
来源：
SCIENCE CHINA-MATHEMATICS | 2010年 / 53卷 / 05期
基金：
中国国家自然科学基金;
关键词：
multi-scale homogenization theory; homogenization solution; second order elliptic equations with small periodic coefficients; FINITE-ELEMENT-METHOD; EQUATIONS;
D O I：
10.1007/s11425-010-0078-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we discuss the multi-scale homogenization theory for the second order elliptic problems with small periodic coefficients of the form partial derivative/chi (a(ij)(x/epsilon)partial derivative u(epsilon)(x)/partial derivative(xj)) = f(x). Assuming n = 2 and u(0) is an element of W-1,W-infinity(Omega), we present an error estimate between the homogenization solution u(0)(x) and the exact solution u(epsilon)(x) on the Sobolev space L-infinity(Omega).
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页码：1231 / 1252
页数：22
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