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Constructive L2 Error Estimates for Finite Element Solutions of the Stokes Equations

✍ Scribed by Mitsuhiro T. Nakao; Nobito Yamamoto; Yoshitaka Watanabe

Book ID
110284354
Publisher
Springer
Year
1998
Tongue
English
Weight
546 KB
Volume
4
Category
Article
ISSN
1385-3139

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πŸ“œ SIMILAR VOLUMES

A posteriori L2-error estimates for the
A posteriori L2-error estimates for the nonconforming P1P0-finite element discretization of the Stokes equations
✍ Volker John πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 882 KB

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.

Penalty finite element approximations fo
Penalty finite element approximations for the Stokes equations by L2 projection
✍ Jian Li πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 103 KB

## Abstract This paper considers the penalty finite element method for the Stokes equations, based on some stable finite elements space pair (__X__~__h__~, __M__~__h__~) that do satisfy the discrete inf–sup condition. Theoretical results show that the penalty error converges as fast as one should e