Homogenization in polygonal domains

Gérard-Varet, David, and Masmoudi, Nader. "Homogenization in polygonal domains." Journal of the European Mathematical Society 013.5 (2011): 1477-1503. <http://eudml.org/doc/277775>.

@article{Gérard2011,
abstract = {We consider the homogenization of elliptic systems with $\varepsilon $-periodic coefficients. Classical two-scale approximation yields an $O(\varepsilon )$ 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.},
author = {Gérard-Varet, David, Masmoudi, Nader},
journal = {Journal of the European Mathematical Society},
keywords = {homogenization; polygonal domains; elliptic system; homogenization; polygonal domains; elliptic system},
language = {eng},
number = {5},
pages = {1477-1503},
publisher = {European Mathematical Society Publishing House},
title = {Homogenization in polygonal domains},
url = {http://eudml.org/doc/277775},
volume = {013},
year = {2011},
}

TY - JOUR
AU - Gérard-Varet, David
AU - Masmoudi, Nader
TI - Homogenization in polygonal domains
JO - Journal of the European Mathematical Society
PY - 2011
PB - European Mathematical Society Publishing House
VL - 013
IS - 5
SP - 1477
EP - 1503
AB - We consider the homogenization of elliptic systems with $\varepsilon $-periodic coefficients. Classical two-scale approximation yields an $O(\varepsilon )$ 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.
LA - eng
KW - homogenization; polygonal domains; elliptic system; homogenization; polygonal domains; elliptic system
UR - http://eudml.org/doc/277775
ER -