97-9   Berichtsreihe des Mathematischen Seminars der Universität Kiel

Carsten Carstensen, Stefan Jansche:

A posteriori error estimates for finite element discretizations of the Stokes problem

A residual-based computable error bound for a quite general class of conform and non-conform finite element methods is established for the symmetric and non-symmetric formulation of the Stokes problem. The a posteriori error estimate is reliable and efficient. Its derivation is based on a Helmholtz decomposition to treat nonconform elements and so differs from Verfürth's approach. Any regularity assumption is avoided and mixed boundary values are allowed. Numerical experience indicates that related adaptive mesh-refining algorithms are efficient.

Mathematics Subject Classification (1991): 65N30, 65R20, 73C50

Keywords: Stokes problem, Crouzeix-Raviart element, non-conform finite element method, a posteriori error estimates, adaptive algorithm, reliability, efficiency


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[Thu Feb 19 18:56:33 2009]
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