Geodesic
Homogenization in polygonal domains
Journal of the European Mathematical Society, Tome 13 (2011) no. 5, pp. 1477-1503 Cet article a éte moissonné depuis la source EMS Press

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We consider the homogenization of elliptic systems with ε-periodic coefficients. Classical two-scale approximation yields a O(ε) error inside the domain. We discuss here the existence of higher order corrections, in the case of general polygonal domains. The corrector depends in a non-trivial way on the boundary. Our analysis extends substantially previous results obtained for polygonal domains with sides of rational slopes.
DOI : 10.4171/jems/286
Classification : 35-XX, 00-XX 
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     author = {David G\'erard-Varet and Nader Masmoudi},
     title = {Homogenization in polygonal domains},
     journal = {Journal of the European Mathematical Society},
     pages = {1477--1503},
     year = {2011},
     volume = {13},
     number = {5},
     doi = {10.4171/jems/286},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/286/}
}
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David Gérard-Varet; Nader Masmoudi. Homogenization in polygonal domains. Journal of the European Mathematical Society, Tome 13 (2011) no. 5, pp. 1477-1503. doi: 10.4171/jems/286

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