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| On the Accuracy of the Quasi-Conforming and Generalized Conforming Finite Elements |
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Citation： |
Shi Zhongci.On the Accuracy of the Quasi-Conforming and Generalized Conforming Finite Elements[J].Chinese Annals of Mathematics B,1990,11(2):148~155 |
| Page view： 797
Net amount： 688 |
Authors： |
Shi Zhongci; |
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| Abstract： |
It is observed in practice that the numerical accuracy of the two unconventional plate elements, i. e., the nine parameter quasi-conforming and generalized conforming elements, is better than that of the usual Zienkiewiez in compatible cubic element and of a new element proposed recently by Specht, although all these elements have the same asymptotical rate of convergence O(h) in the energy norm. In the paper a careful error analysis for the quasi-conforming and generalized conforming elements is given. It is shown that the consistency error due to nonconformity of the two unconventional elements is of order O(h^2), one order high than that of other conventional nonconforming elements with nine parameters. |
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