A Posteriori Error Estimation For Linear Elasticity With Weak Stress Sym- metry

Resumo

This work focuses on the development of a posteriori error estimation for linear elasticity with weak stress symmetry [1]. The procedure is based on the post-processing of the enriched displacement field computed by a mixed finite element formulation, as in [2]. Inspired by [3], the estimation involves two post-processing techniques: averaging the numerical displacement over element interfaces and solving a set of local problems. By applying the Prager-Synge theorem in the context of linear elasticity [4], we are able to develop an estimator with known constants.