A note on boundary layer effects in periodic homogenization with dirichlet boundary conditions

被引：3

作者：

Amar, M ^{[1
]}

机构：

[1] Univ Roma La Sapienza, Dipartimento Metodi & Modelli Matemat, I-00161 Rome, Italy

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2000年 / 6卷 / 03期

关键词：

boundary layers; periodic functions; asymptotic expansion; and homogenization;

D O I：

10.3934/dcds.2000.6.537

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper focus on the properties of boundary layers in periodic homogenization of Dirichlet boundary value problems. We consider here the case of Dirichlet problems in rectangular domains which have an oscillating boundary, emphasizing the influence of boundary layers on interior error estimates.

引用

页码：537 / 556

页数：20

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