Codice 33/2011 Titolo Hierarchical a posteriori error estimators for the mimetic discretization of elliptic problems Data 2011-07-26 Autore/i Antonietti, P.F.; Beirao da Veiga, L.; Lovadina, C.; Verani, M. Link Download full text Abstract We present an a posteriori error estimate of hierarchical type for the mimetic discretization of elliptic problems. Under a saturation assumption, the global reliability and efficiency of the proposed a posteriori estimator has been proved. Several numerical experiments assess the actual performance of the local error indicators in driving adaptive mesh refinement algorithms based on different marking strategies. Finally, we test an heuristic variant of the proposed error estimator which drastically reduces the overall computational cost of the adaptive procedures.