Year: 2005
Journal of Computational Mathematics, Vol. 23 (2005), Iss. 6 : pp. 635–646
Abstract
The main aim of this paper is to study the superconvergence accuracy analysis of the famous ACM's nonconforming finite element for biharmonic equation under anisotropic meshes. By using some novel approaches and techniques, the optimal anisotropic interpolation error and consistency error estimates are obtained. The global error is of order $O(h^2)$. Lastly, some numerical tests are presented to verify the theoretical analysis.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2005-JCM-8843
Journal of Computational Mathematics, Vol. 23 (2005), Iss. 6 : pp. 635–646
Published online: 2005-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Superconvergence Nonconforming finite element Anisotropic interpolation error Consistency error.