González Taboada, MaríaBarrios, Tomás P.Gatica, Gabriel N.Heuer, Norbert2015-11-182015-11-182006-09T. P. Barrios, G. N. Gatica, M. González and N. Heuer, A residual based a posteriori error estimator for an augmented mixed finite element method in linear elasticity. Esaim-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique Et Analyse Numerique, 40(5) (Sep-Oct 2006), 843-869.0764-583XDOI; http://dx.doi.org/10.1051/m2an:2006036http://hdl.handle.net/2183/15569The final publication is available at via http://dx.doi.org/10.1051/m2an:2006036[Abstract] In this paper we develop a residual based a posteriori error analysis for an augmented mixed finite element method applied to the problem of linear elasticity in the plane. More precisely, we derive a reliable and efficient a posteriori error estimator for the case of pure Dirichlet boundary conditions. In addition, several numerical experiments confirming the theoretical properties of the estimator, and illustrating the capability of the corresponding adaptive algorithm to localize the singularities and the large stress regions of the solution, are also reported.engMixed finite elementAugmented formulationA posteriori error estimatorLinear elasticityjournal articleopen access