Rate of convergence of a two-scale expansion for some "weakly" stochastic homogenization problems

被引：2

作者：

Le Bris, Claude

Legoll, Frederic ^{[1
]}

Thomines, Florian

机构：

[1] Ecole Natl Ponts & Chaussees, Lab Navier, F-77455 Marne La Vallee 2, France

来源：

ASYMPTOTIC ANALYSIS | 2012年 / 80卷 / 3-4期

关键词：

weakly stochastic homogenization; two-scale expansion; ERROR ESTIMATE;

D O I：

10.3233/ASY-2012-1114

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish a rate of convergence of the two scale expansion (in the sense of homogenization theory) of the solution to a highly oscillatory elliptic partial differential equation with random coefficients that are a perturbation of periodic coefficients.

引用

页码：237 / 267

页数：31

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