A multiscale method for linear elasticity reducing Poisson locking

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 Målqvist and Peterseim (2014). Assuming only L∞L∞-coefficients we prove linear convergence in the H1H1-norm, also for materials with large Lamé parameter λλ. The theoretical a priori error estimate is confirmed by numerical examples.