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An introductory course of mathematical homogenization.
Last update: Kaplický Petr, doc. Mgr., Ph.D. (07.09.2018)
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Cioranescu, Doina; Donato, Patrizia: An introduction to homogenization. Oxford Lecture Series in Mathematics and its Applications, 17. The Clarendon Press, Oxford University Press, New York, 1999.
Braides, Andrea; Defranceschi, Anneliese: Homogenization of multiple integrals. Oxford Lecture Series in Mathematics and its Applications, 12. The Clarendon Press, Oxford University Press, New York, 1998. Last update: Krömer Stefan (26.08.2021)
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As long as it is possible, the course will be held in person. If necessary, further information will be added here later.
For questions please contact me directly by email. Home page: http://www.utia.cas.cz/people/kr-mer Last update: Krömer Stefan (26.08.2021)
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Basic periodic oscillations; Examples for periodic composites; Periodic homogenization for elliptic equations: formal expansions and correctors; Notions of convergence for homogenization problems: G-convergence, H-convergence, Gamma-convergence; Variational periodic homogenization for convex functionals, weak two-scale convergence Last update: Kaplický Petr, doc. Mgr., Ph.D. (07.09.2018)
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Necessary prior knowledge: Functional analysis (weak topologies) and the Sobolev space W^{1,2}
Useful prior knowledge: Elliptic PDEs (weak formulation, existence, uniqueness), Calculus of Variations (direct methods) Last update: Kaplický Petr, doc. Mgr., Ph.D. (07.09.2018)
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