An introduction to homogenization [ Livre] / Doina Cioranescu, and Patrizia Donato
Langue : anglais.Publication : New York : Oxford university press, cop. 1999Description : 1 volume de IX-262 pages : illustré en noir, couverture illustrée en couleur ; 24 cmISBN : 9780198565543.Collection: Oxford lecture series in mathematics and its applications, 17Dewey : 515.35, 23Résumé : 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.Sujet - Nom commun: 7689Type de document | Site actuel | Cote | Statut | Notes | Date de retour prévue |
---|---|---|---|---|---|
Livre | Bibliothèque Universitaire Mohamed Sekkat 2ème étage | 515.35 CIO (Parcourir l'étagère) | Exclu du prêt | New 2019 |
Bibliographie pages 252-257
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
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