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Homogenization Theory for Multiscale Problems [electronic resource] : An introduction / by Xavier Blanc, Claude Le Bris

Author
Blanc, Xavier
Published
Cham : Springer Nature Switzerland : Imprint: Springer, 2023.
Edition
1st ed. 2023.
Physical Description
XVII, 455 p. 29 illus., 24 illus. in color. online resource
Additional Creators
Le Bris, Claude and SpringerLink (Online service)
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Series
Contents
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.
Summary
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.
Subject(s)
ISBN
9783031218330
Digital File Characteristics
text file PDF
Part Of
Springer Nature eBook
View MARC record | catkey: 40803829