An a posteriori Error Estimate of Hierarchical Type
Résumé
In this work we present a new a posteriori parameter free error estimate of hierarchical type and we apply this error estimate to the elasticity equations for linear isotropic heterogeneous materials. This estimate is proved to be optimal, independently of the material heterogeneities. The proof introduces an easy to check fundamental inf-sup condition, which implies the saturation assumption and partition lemma usually assumed in the analysis of hierarchical estimates. Insight on the numerical implementa- tion and various numerical examples are finally presented .