Convergence rates in periodic homogenization of systems of elasticity

Shen, Zhongwei; Zhuge, Jinping

doi:10.1090/proc/13289

Convergence rates in periodic homogenization of systems of elasticity
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by Zhongwei Shen and Jinping Zhuge PDF

Proc. Amer. Math. Soc. 145 (2017), 1187-1202 Request permission

Abstract:

This paper is concerned with homogenization of systems of linear elasticity with rapidly oscillating periodic coefficients. We establish sharp convergence rates in $L^2$ for the mixed boundary value problems with bounded measurable coefficients.

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