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GETTING ACQUAINTED WITH HOMOGENIZATION AND MULTISCALE

Author: LEONID BERLYAND
Publisher: [S.l.] : BIRKHAUSER, 2019.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:

The objective of this book is to navigate beginning graduate students in mathematics and engineering through a mature field of multiscale problems in homogenization theory and to provide an idea of  Read more...

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Additional Physical Format: (OCoLC)1050616220
Material Type: Document
Document Type: Book, Computer File
All Authors / Contributors: LEONID BERLYAND
ISBN: 9783030017774 303001777X
OCLC Number: 1077498615
Description: 1 online resource
Contents: Chapter 1- Preliminaries.- Chapter 2- What is Homogenization and Multiscale? First Examples.- Chapter 3- Brief History and Surprising Examples in Homogenization.- Chapter 4- Formal Two-scale Asymptotic Expansions and the Corrector Problem.- Chapter 5- Compensated Compactness and Oscillating Test-functions.- Chapter 6- Two-scale Convergence.- Chapter 7- Examples of Explicit Effective Coefficients: Laminated Structures and 2D Checkerboards.- Chapter 8- Introduction to Stochastic Homogenization.- Chapter 9- G-Convergence in Nonlinear Homogenization Problems.- Chapter 10- An Example of a Nonlinear Problem: Homogenization of Plasticity and Limit Loads.- Chapter 11- Continuum Limits for Discrete Problems with Fine Scales.- References.- Appendix: Regular and Singular Perturbations and Boundary Layers.- Index.

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