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A posteriori L2-error estimates for the nonconforming P1P0-finite element discretization of the Stokes equations

✍ Scribed by Volker John

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 882 KB
Volume: 96
Category: Article
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(98)00095-8

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✦ Synopsis

This paper focusses on a residual-based a posteriori error estimator for the L 2-error of the velocity for the nonconforming P~/Po-finite element discretization of the Stokes equations. We derive an a posteriori error estimator which yields a local lower as well as a global upper bound on the error. Numerical tests demonstrate the efficiency of the global error estimator and give a comparison with respect to the adaptive grid refinement to an a posteriori error estimator in the discrete energy norm proposed by Daft et al.

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