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Section B

A posteriori error analysis of nonconforming finite-element discretization for the Stokes equations

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Pages 1497-1508 | Received 23 Mar 2010, Accepted 28 Jul 2010, Published online: 11 Mar 2011
 

Abstract

In this paper, we extend the unifying theory for a posteriori error analysis of the nonconforming finite-element methods to the Stokes problems. We present explicit residual-based computable error indicators, we prove its reliability and efficiency based on two assumptions concerning both the weak continuity and the weak orthogonality of the nonconforming finite-element spaces, respectively, and we apply the unified framework to various nonconforming finite elements from the literature.

2000 AMS Subject Classifications :

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