Codice | 10/2010 |
Titolo | Analysis of a finite volume element method for the Stokes problem |
Data | 2010-03-22 |
Autore/i | Quarteroni, Alfio; Ruiz Baier, Ricardo |
Link | Download full text |
Abstract | In this paper we propose a stabilized conforming finite volume element method for the Stokes equations. On stating the convergence of the method, optimal a priori error estimates in
different norms are obtained by establishing the adequate connection between the finite volume
and stabilized finite element formulations. A superconvergence result is also derived by using a
postprocessing projection method. The stabilization of the continuous lowest equal order pair finite volume element discretization (P1 - P1) is achieved by enriching the velocity space with bubble-like functions. Finally, some numerical experiments that confirm the predicted behavior of the method are provided. |
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