
Homogénéisation en milieu périodique... ou non
Une introduction
Series: Mathématiques et Applications; 88;
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Product details:
- Edition number 1-re -d. 2022
- Publisher Springer International Publishing
- Date of Publication 8 February 2023
- Number of Volumes 1 pieces, Book
- ISBN 9783031128004
- Binding Paperback
- No. of pages488 pages
- Size 235x155 mm
- Weight 764 g
- Language French
- Illustrations XVIII, 488 p. 1 ill. Illustrations, black & white 444
Categories
Long description:
The book provides a pedagogic and comprehensive introduction to homogenization theory with a special focus on problems set for non-periodic media. The presentation encompasses both deterministic and probabilistic settings. It also mixes the most abstract aspects with some more practical aspects regarding the numerical approaches necessary to simulate such multiscale problems. Based on lecture courses of the authors, the book is suitable for graduate students of mathematics and engineering.
Table of Contents:
"1 La dimension ""zéro"".- 2 Homogénéisation en dimension 1.- 3 Dimension ≥ 2 : Les cas ""simples"" : abstrait ou périodique.- 4 Dimension ≥ 2 : Des cas explicites au-delà du périodique.- 5 Approches numériques.- 6 Au-delà de l'équation de diffusion et sujets variés.