Volume 10, Issue 3
Unified a Posteriori Error Estimator for Finite Element Methods for the Stokes Equations

J. Wang, Y. Wang & X. Ye


Int. J. Numer. Anal. Mod., 10 (2013), pp. 551-570

Published online: 2013-10

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  • Abstract

This paper is concerned with residual type a posteriori error estimators for finite element methods for the Stokes equations. In particular, the authors established a unified ap- proach for deriving and analyzing a posteriori error estimators for velocity-pressure based finite element formulations for the Stokes equations. A general a posteriori error estimator was pre- sented with a unified mathematical analysis for the general finite element formulation that covers conforming, non-conforming, and discontinuous Galerkin methods as examples. The key behind the mathematical analysis is the use of a lifting operator from discontinuous finite element spaces to continuous ones for which all the terms involving jumps at interior edges disappear.

  • Keywords

A posteriori error estimate finite element methods Stokes equations

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