A residual based a posteriori error estimator for an augmented mixed
finite element method in linear elasticity
Tomás P. Barrios, Gabriel N. Gatica, María González, and Norbert Heuer
ESAIM Math. Model. Num. Anal. 40 (5), 843-869, 2006.
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.