Γ-convergence and H-convergence of linear elliptic operators

被引：6

作者：

Ansini, Nadia ^{[1
]}

Dal Maso, Gianni ^{[2
]}

Zeppieri, Caterina Ida ^{[3
]}

机构：

[1] Univ Roma La Sapienza, Dipartimento Matemat G Castelnuovo, Piazzale Aldo Moro 2, I-00185 Rome, Italy

[2] SISSA, I-34136 Trieste, Italy

[3] Univ Bonn, Inst Angew Math, D-53115 Bonn, Germany

来源：

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2013年 / 99卷 / 03期

基金：

欧洲研究理事会;

关键词：

Linear elliptic operators; Gamma-convergence; H-convergence;

D O I：

10.1016/j.matpur.2012.09.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a sequence of linear Dirichlet problems as follows {-div(sigma(epsilon)del mu(epsilon)) = f in Omega, mu(epsilon) is an element of H-0(1)(Omega), with (sigma(epsilon)) uniformly elliptic and possibly non-symmetric. Using purely variational arguments we give an alternative proof of the compactness of H-convergence, originally proved by Murat and Tartar. (C) 2012 Elsevier Masson SAS. All rights reserved.

引用

页码：321 / 329

页数：9

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