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math.NA2014★ 54 cited
An optimal quantitative two-scale expansion in stochastic homogenization of discrete elliptic equations
Antoine Gloria, Stefan Neukamm, Felix Otto
We establish an optimal, linear rate of convergence for the stochastic homogenization of discrete linear elliptic equations. We consider the model problem of independent and identi…
math.NA2014★ 3 cited
When are increment-stationary random point sets stationary?
Antoine Gloria
In a recent work, Blanc, Le Bris, and Lions defined a notion of increment-stationarity for random point sets, which allowed them to prove the existence of a thermodynamic limit for…
math.NA2014★ 1 cited
Reduction of the resonance error in numerical homogenisation II: correctors and extrapolation
Antoine Gloria, Zakaria Habibi
This paper is the companion article of [Gloria, M3AS, 21 (2011), No. 3, pp 1601-1630]. One common drawback among numerical homogenization methods is the presence of the so-called r…