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Accuracy analysis of Adini's non-conforming plate element on anisotropic meshes

✍ Scribed by Mao, Shipeng ;Chen, Shaochun


Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
222 KB
Volume
22
Category
Article
ISSN
1069-8299

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✦ Synopsis


Abstract

In this paper, we mainly study the famous Adini's non‐conforming finite element for plate‐bending problems on anisotropic meshes. Without the regular assumption on the meshes, the interpolation error and consistency error estimates are both of order O(h^2^) (h is the maximum diameter of elements), which improves the conventional results of this element. Lastly, a numerical test is carried out, which coincides with our theoretical analysis. Copyright © 2005 John Wiley & Sons, Ltd.