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Record Nr. |
UNINA9910300116703321 |
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Autore |
Berlyand Leonid |
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Titolo |
Getting Acquainted with Homogenization and Multiscale / / by Leonid Berlyand, Volodymyr Rybalko |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2018 |
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ISBN |
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Edizione |
[1st ed. 2018.] |
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Descrizione fisica |
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1 online resource (XVIII, 178 p. 42 illus., 14 illus. in color.) |
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Collana |
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Compact Textbooks in Mathematics, , 2296-4568 |
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Disciplina |
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Soggetti |
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Computer mathematics |
Applied mathematics |
Engineering mathematics |
Partial differential equations |
Computational Science and Engineering |
Mathematical and Computational Engineering |
Partial Differential Equations |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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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Sommario/riassunto |
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The objective of this book is to navigate beginning graduate students in mathematics and engineering through a mature field of multiscale |
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