Asymptotic expansions for high-contrast linear elasticity

Poveda, L. and Huepo, S. and Calo, V. and Galvis, J. 2016. Asymptotic expansions for high-contrast linear elasticity. Journal of Computational and Applied Mathematics. 295: pp. 25-34.

Source Title

Journal of Computational and Applied Mathematics

DOI

10.1016/j.cam.2015.03.021

ISSN

0377-0427

School

Department of Applied Geology

URI

http://hdl.handle.net/20.500.11937/51555

Collection

Curtin Research Publications

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.