Asymptotic Expansions for High-Contrast Linear Elasticity

2014/10/01 by Poveda, Leonardo A., Huepo, Sebastian, Calo, Victor M. +1
#Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.1410.0299

Abstract

We study linear elasticity problems with high contrast in the coefficients using asymptotic limits recently introduced. We derive an asymptotic expansion to solve heterogeneous elasticity problems in terms of the contrast in the coefficients. We study the convergence of the expansion in the H¹ norm.

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