Hierarchical a posteriori error estimators for the mimetic discretization of elliptic problems
Tuesday 26th July 2011
Antonietti, P.F.; Beirao da Veiga, L.; Lovadina, C.; Verani, M.
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.