The periodic unfolding method for perforated domains and Neumann sieve models
By Doina Cioranescu, Alain Damlamian, Georges Griso, Daniel Onofrei. 2008
88 citations recorded by the source corpus.
Abstract The periodic unfolding method, introduced in [D. Cioranescu, A. Damlamian, G. Griso, Periodic unfolding and homogenization, C. R. Acad. Sci. Paris, Ser. I 335 (2002) 99–104], was developed to study the limit behavior of periodic problems depending on a small parameter e. The same philosophy applies to a range of periodic problems with small parameters and with a specific period (as well as to almost any combinations thereof). One example is the so-called Neumann sieve. In this work, we present these extensions and show how they apply to known results and allow for generalizations (some in dimension N ⩾ 3 only). The case of the Neumann sieve is treated in details. This approach is significantly simpler than the original ones, both in spirit and in practice.
View Paper: https://www.semanticscholar.org/paper/0d1d103a5a4028b26dc08a147329b92f01a98a5c
How researchers see this paper
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- Doina Cioranescu
- Alain Damlamian
- Georges Griso
- Augusto Visintin
- Patrizia Donato
- Zhongwei Shen
- Adrian Muntean
- Tasnim Fatima
Citations in the corpus
- The Periodic Unfolding Method in Homogenization (2008, background): “– Neumann sieve and Dirichlet shield problems: Onofrei [60], Cioranescu et al. [26].”