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

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.

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Bibliographic Details
Published in:Applied numerical mathematics 2003-07, Vol.46 (1), p.45-58
Main Authors: Chatzipantelidis, P., Makridakis, Ch, Plexousakis, M.
Format: Article
Language:English
Subjects:
A-posteriori estimates
Computational methods in fluid dynamics
Exact sciences and technology
Finite volume methods
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Partial differential equations, boundary value problems
Physics
Sciences and techniques of general use
Stokes equations
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Description
Summary: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.
ISSN:0168-9274
1873-5460
DOI:10.1016/S0168-9274(03)00011-4