| ZienkieWicz元和Veubeke元的统一型函数形式 |
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| 引用本文： | 徐林荣.ZienkieWicz元和Veubeke元的统一型函数形式[J].浙江大学学报(理学版),1993,20(1):24-30. |
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| 作者姓名： | 徐林荣 |
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| 作者单位： | 杭州大学数学系 |
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| 基金项目： | 浙江省自然科学基金资助课题 |
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| 摘 要： | 本文给出Zienkiewicz元和Veubeke元型函数的统一形式，并给出Veubeke元空间的九个基函数的具体形式及对完全三次多项式空间的约束条件，使完全三次多项式空间在该约束条件下是Veubek。元的有限元空间，同时给出了Veubek。元的分层形式.
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| 关 键 词： | 有限元 Veubeke元 型函数 |
On Unified Formation of the Shape Functions of Zienkiewicz and Veubeke Triangular Plate Bending Elements |
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| Xu Linrong.On Unified Formation of the Shape Functions of Zienkiewicz and Veubeke Triangular Plate Bending Elements[J].Journal of Zhejiang University(Sciences Edition),1993,20(1):24-30. |
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| Authors: | Xu Linrong |
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| Institution: | Department of Mathematics |
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| Abstract: | This paper presents an unified formation of the shape functions of Zierikiewiez and de Veubeke triangular plate bending elements and nine basis functions of the space of de veubeke element. A relationship which determine uniquely a complete cubic with the degrees of freedom of de Veubeke element is obtained. The hierarchic forms of de Veubeke elements are also derived. |
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| Keywords: | finite elements Zienkiewicz element Veubeke element shape function |
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