We consider the homogenization of elliptic systems with ε-periodic coefficients. Classical two-scale approximation yields an 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 substantially extends previous results obtained for polygonal domains with sides of rational slopes.
ASJC Scopus subject areas
- Applied Mathematics