Year: 2005
Journal of Computational Mathematics, Vol. 23 (2005), Iss. 3 : pp. 261–274
Abstract
The main aim of this paper is to study the error estimates of a nonconforming finite element with some superconvergence results under anisotropic meshes. The anisotropic interpolation error and consistency error estimates are obtained by using some novel approaches and techniques, respectively. Furthermore, the superclose and a superconvergence estimate on the central points of elements are also obtained without the regularity assumption and quasi-uniform assumption requirement on the meshes. Finally, a numerical test is carried out, which coincides with our theoretical analysis.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2005-JCM-8814
Journal of Computational Mathematics, Vol. 23 (2005), Iss. 3 : pp. 261–274
Published online: 2005-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Anisotropic meshes Nonconforming finite element Interpolation error and consistency error estimates Superclose Superconvergence.