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Convergence and superconvergence of a nonconforming finite element method for the Stokes problem

โœ Scribed by Mao, S. P.; Chen, S.

Book ID
120137660
Publisher
Walter de Gruyter GmbH & Co. KG
Year
2006
Tongue
English
Weight
153 KB
Volume
14
Category
Article
ISSN
1570-2820

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This article derives a general superconvergence result for nonconforming finite element approximations of the Stokes problem by using a least-squares surface fitting method proposed and analyzed recently by Wang for the standard Galerkin method. The superconvergence result is based on some regularit

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## Abstract The numerical approximation by a lowerโ€order anisotropic nonconforming finite element on appropriately graded meshes are considered for solving semisingular perturbation problems. The quasiโ€optimalโ€order error estimates are proved in the ฮตโ€weighted __H__^1^โ€norm valid uniformly, up to a