Adaptive solutions of an augmented mixed finite elementscheme for linear elasticity

Abstract

 Through several numerical experiments, we explore the theoretical properties of a residual based a posteriori error estimator of an augmented mixed method applied to linear elasticity problem in the plane. More precisely, we show numerical evidence confirming the theoretical properties of the estimator, and ilustrating the capability of the corresponding adaptive algorithm to localize the singularities and the large stress regions of the solution.