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Homogenization

  • I. Andrianov
  • J. Awrejcewicz
  • L. I. Manevitch
Part of the Foundations of Engineering Mechanics book series (FOUNDATIONS)

Abstract

In order to introduce to the problem we follow one dimensional example given in reference [154]:
$$\frac{d}{{dx}}\left[ {a(\frac{x}{\varepsilon })\frac{{du}}{{dx}}} \right] = q(x)$$
(10.1)
,
$$u = 0\,\,\,for\,\,\,x = 0,l$$
(10.2)
.

Keywords

Local Problem Asymptotic Series Conjugation Condition Cell Problem Homogenization Operator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • I. Andrianov
    • 1
    • 2
  • J. Awrejcewicz
    • 3
  • L. I. Manevitch
    • 4
  1. 1.KölnGermany
  2. 2.Pridneprovskaya State Academy of Civil Engineering and ArchitectureDnepropetrovkUkraine
  3. 3.Dept. of Automatics and BiomechanicsTechnical University LodzLodzPoland
  4. 4.N. N. Semenov Institute of Chemical Physics RASMoscowRussian Federation

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