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An Introduction to Homogenization (Oxford Lecture Series in Mathematics and Its Applications, 17)

yhhuang 添加于 2010-2-22 14:00 | 1681 次阅读 | 0 个评论

作者
Doina Cioranescu, Patrizia Donato
摘要
Homogenization theory is a powerful method for modeling the microstructure of composite materials, including superconductors and optical fibers. This book is a complete introduction to the theory. It includes background material on partial differential equations and chapters devoted to the steady and non-steady heat equations, the wave equation, and the linearized system of elasticity.
详细资料
- 文献种类:书籍
- 期卷页: 272页
- 出版社: Oxford University Press, USA
- 日期: 2000-02-24
- ISBN: 9780198565543
标签

homogenization
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An introduction to the homogenization of linear problems. The basic techniques are

Formal asymptotic expansion. A powerful tool to get the homogenized problem and the associated cell problem, but not so easy to validate convergence and various error estimates.
Oscillating test functions. This works in the variational framework, using subtle cancellation to handle the limit of the product of two weakly convergence sequences
Two-scale convergence method.
Viscosity solution and comparison method.

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