Reduction in the resonance error in numerical homogenization. II: Correctors and extrapolation (Q5963084)

This paper provides the reader with a systematic study to regularization and extrapolation for reducing the resonance error in approximation of homogenized coefficients and correctors in the frame of non-necessarily symmetric stationary ergodic coefficients. The reduction approach is addressed for the class of periodic coefficients, for the Kozlov subclass of almost periodic coefficients and for random coefficients satisfying a special gap estimate such as Poisson random inclusions. Along with the theoretical results, several numerical experiments are also presented. For Part I see [\textit{A. Gloria}, Math. Models Methods Appl. Sci. 21, No. 8, 1601--1630 (2011; Zbl 1233.35016)].