A multiscale method for linear elasticity reducing Poisson locking

Journal article, 2016

We propose a generalized finite element method for linear elasticity equations with highly varying and oscillating coefficients. The method is formulated in the framework of localized orthogonal decomposition techniques introduced by Malqvist and Peterseim (2014). Assuming only L-infinity-coefficients we prove linear convergence in the H-1-norm, also for materials with large Lame parameter A. The theoretical a priori error estimate is confirmed by numerical examples.