A-posteriori error estimates for a finite volume method for the Stokes problem in two dimensions

Authors:
P. Chatzipantelidis;Ch. Makridakis;M. Plexousakis
Affiliations:
Department of Mathematics, A&M University, College Station, TX;Department of Applied Mathematics, University of Crete, 71409 Heraklion, Crete, Greece and Institute of Applied and Computational Mathematics, FO.R.T.H, 71110 Heraklion, Crete, Greece;Department of Applied Mathematics, University of Crete, 71409 Heraklion, Crete, Greece
Venue:
Applied Numerical Mathematics
Year:
2003

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Abstract

Two a-posteriori error estimators for a nonconforming finite volume discretization of the stationary Stokes equations are presented and analyzed. Numerical experiments are used to confirm the expected rate of convergence of the estimators.