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 are 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 analyze and test an inexpensive variant of the proposed error estimator which drastically reduces the overall computational cost of the adaptive procedures. © 2013 Society for Industrial and Applied Mathematics.

Antonietti, P., BEIRAO DA VEIGA, L., Lovadina, C., Verani, M. (2013). Hierarchical A Posteriori Error Estimators for the Mimetic Discretization of Elliptic Problems. SIAM JOURNAL ON NUMERICAL ANALYSIS, 51(1), 654-675 [10.1137/120873157].

Hierarchical A Posteriori Error Estimators for the Mimetic Discretization of Elliptic Problems

BEIRAO DA VEIGA, LOURENCO
Secondo
;
2013

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 are 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 analyze and test an inexpensive variant of the proposed error estimator which drastically reduces the overall computational cost of the adaptive procedures. © 2013 Society for Industrial and Applied Mathematics.
Articolo in rivista - Articolo scientifico
a posteriori error analysis
English
654
675
22
Antonietti, P., BEIRAO DA VEIGA, L., Lovadina, C., Verani, M. (2013). Hierarchical A Posteriori Error Estimators for the Mimetic Discretization of Elliptic Problems. SIAM JOURNAL ON NUMERICAL ANALYSIS, 51(1), 654-675 [10.1137/120873157].
Antonietti, P; BEIRAO DA VEIGA, L; Lovadina, C; Verani, M
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/98706
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