Convergence and Superconvergence of a Nonconforming Finite Element on Anisotropic Meshes

Convergence and Superconvergence of a Nonconforming Finite Element on Anisotropic Meshes

Year:    2007

International Journal of Numerical Analysis and Modeling, Vol. 4 (2007), Iss. 1 : pp. 16–38

Abstract

The main aim of this paper is to study the error estimates of a nonconforming finite element for general second order problems, in particular, the superconvergence properties under anisotropic meshes. Some extrapolation results on rectangular meshes are also discussed. Finally, numerical results are presented, which coincides with our theoretical analysis perfectly.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2007-IJNAM-848

International Journal of Numerical Analysis and Modeling, Vol. 4 (2007), Iss. 1 : pp. 16–38

Published online:    2007-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    23

Keywords:    nonconforming finite element anisotropic meshes superconvergence extrapolation.