Displaying similar documents to “Error estimates of an efficient linearization scheme for a nonlinear elliptic problem with a nonlocal boundary condition”

Homogenization of a monotone problem in a domain with oscillating boundary

Dominique Blanchard, Luciano Carbone, Antonio Gaudiello (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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We study the asymptotic behaviour of the following nonlinear problem: { - div ( a ( D u h ) ) + | u h | p - 2 u h = f in Ω h , a ( D u h ) · ν = 0 on ∂ Ω h , . in a domain Ω h of ℝ n whose boundary ∂Ω h contains an oscillating part with respect to h when h tends to ∞. The oscillating boundary is defined by a set of cylinders...

Numerical approximation of effective coefficients in stochastic homogenization of discrete elliptic equations

Antoine Gloria (2011)

ESAIM: Mathematical Modelling and Numerical Analysis

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We introduce and analyze a numerical strategy to approximate effective coefficients in stochastic homogenization of discrete elliptic equations. In particular, we consider the simplest case possible: An elliptic equation on the -dimensional lattice ℤ d with independent and identically distributed conductivities on the associated edges. Recent results by Otto and the author quantify the error made by approximating the homogenized coefficient by the averaged energy of a regularized corrector...