Section: New Results

A posteriori error estimators for finite element methods

First, the generalization of [55] in the case of the full convection-reaction-diffusion case lead to robust estimators, for which the dependance of the constant in the data are explicitly given [8] . Then, we succeeded in obtaining some "asymptotic exact estimators" for the Reissner-Mindlin system in order to provide an accurate bound of the error, while keeping a reasonable computational cost [10] , [24] . Finally, we obtained some residual-based a posteriori error estimators for the Maxwell system in its vectorial and scalar potential formulation [9] , [23] .