A Possible Homogenization Approach for the Numerical Simulation of Periodic Microstructures with Defects

被引：0

作者：

X. Blanc

C. Le Bris

P. -L. Lions

机构：

[1] CEA,

[2] DAM,undefined

[3] DIF,undefined

[4] École Nationale des Ponts et Chaussées,undefined

[5] INRIA Rocquencourt,undefined

[6] MICMAC project-team,undefined

[7] Collége de France,undefined

[8] CEREMADE,undefined

[9] Université Paris Dauphine,undefined

来源：

Milan Journal of Mathematics | 2012年 / 80卷

关键词：

Periodic Function; Functional Space; Discretization Error; Periodic Case; Corrector Equation;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We present a general strategy, adapted from classical homogenization theory, to approximate at the fine scale the solution to an elliptic equation with oscillatory coefficient when this coefficient is a locally perturbed periodic function. We illustrate numerically the efficiency of the approach. The setting considered is a particular case of a more general method which is developed in works in preparation [6].

引用

页码：351 / 367

页数：16

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