Xavier Blanc,
Claude Le Bris
Homogenization Theory for Multiscale Problems
An introduction
Gebonden Engels 2023 9783031218323Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
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.
Specificaties
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Inhoudsopgave
<p>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.</p>
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