This book provides an introduction to the mathematical theory of homogenization, which describes the replacement of a real composite material by a fictitious homogeneous one. The aim of the theory is to describe the macroscopic properties of the composite by taking into account the properties of the microscopic structure. The first four chapters cover variational methods for partial differential equations, which is the natural framework of homogenization theory. The
text then discusses the homogenization of several kinds of second order boundary value problems. Particular attention is given to the classical examples of the steady and non-steady heat equations, the wave equation and the linearized system of elasticity. All topics are illustrated by figures and
numerous examples.
- ISBN10 0198565542
- ISBN13 9780198565543
- Publish Date 11 November 1999
- Publish Status Active
- Publish Country GB
- Imprint Oxford University Press
- Format Hardcover
- Pages 272
- Language English