Rate of convergence of a two-scale expansion for some "weakly" stochastic homogenization problems

Details Rate of convergence of a two-scale expansion for some "weakly" stochastic homogenization problems Rate of convergence of a two-scale expansion for some "weakly" stochastic homogenization problems

2011-10-24

arxiv.org/abs/1110.5206v1

Mathematics

Analysis of PDEs

Scientific paper

We establish a rate of convergence of the two scale expansion (in the sense
of homogenization theory) of the solution to a highly oscillatory elliptic
partial differential equation with random coefficients that are a perturbation
of periodic coefficients.

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