Homogenization in polygonal domains

• Autores: David Gérard-Varet, N. Masmoudi
• Localización: Journal of the European Mathematical Society, ISSN 1435-9855, Vol. 13, Nº 5, 2011, págs. 1477-1503
• Idioma: inglés
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• Resumen

  • We consider the homogenization of elliptic systems with \eps-periodic coefficients. Classical two-scale approximation yields a O(\eps) 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.