Geodesic
Homogenization in polygonal domains
Journal of the European Mathematical Society, Tome 13 (2011) no. 5, pp. 1477-1503.

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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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     title = {Homogenization in polygonal domains},
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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. http://geodesic.mathdoc.fr/articles/10.4171/jems/286/

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