Interdisciplinary Information Sciences
Online ISSN : 1347-6157
Print ISSN : 1340-9050
ISSN-L : 1340-9050
Homogenization and Numerical Analysis
Introduction to Periodic Homogenization
François ALOUGES
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ジャーナル フリー

2016 年 22 巻 2 号 p. 147-186

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These notes contain an introduction of the theory of multiscale analysis and periodic homogenization of PDEs. Basic tools, such as multiscale expansion, 2-scale convergence, and Gamma-convergence are introduced and carefully explained. Application to diffusion equation or porous media are also considered, as well as numerical methods. Exercises are also provided to help the reader to become familiar with the theory.
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© 2017 by the Graduate School of Information Sciences (GSIS), Tohoku University

This article is licensed under a Creative Commons [Attribution 4.0 International] license.
https://creativecommons.org/licenses/by/4.0/
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