Format:
1 Online-Ressource (XVII, 455 p. 29 illus., 24 illus. in color.)
ISBN:
9783031218330
Series Statement:
MS&A, Modeling, Simulation and Applications 21
Content:
1 In dimension "zero" -- 2 Homogenization in dimension 1 -- 3 Dimension ≥ 2: The "simple" cases: abstract or periodic settings -- 4 Dimension ≥ 2: Some explicit cases beyond the periodic setting -- 5 Numerical Approaches -- 6 Beyond the diffusion equation and miscellaneous topics -- Appendix A: Some basic elements of PDE analysis.
Content:
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.
Additional Edition:
ISBN 9783031218323
Additional Edition:
ISBN 9783031218347
Additional Edition:
ISBN 9783031218354
Additional Edition:
Erscheint auch als Druck-Ausgabe Blanc, Xavier, 1975 - Homogenization theory for multiscale problems Cham, Switzerland : Springer, 2023 ISBN 9783031218323
Additional Edition:
ISBN 3031218329
Language:
English
DOI:
10.1007/978-3-031-21833-0
