| 两种非常规的板元列式方法 |
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| 引用本文： | 张飞.两种非常规的板元列式方法[J].中国科学技术大学学报,1989(4). |
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| 作者姓名： | 张飞 |
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| 作者单位： | 中国科学技术大学数学系 |
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| 摘 要： | 本文给出了非协调板元收敛的三个简单的充分条件,即有限元空间包含分片二次多项式、形函数在单元节点上函数值连续、形函数的法向导数的平均值在两个相邻的单元的交界面上连续。基于这些条件,讨论了两种板元列式方法。数值实验表明新板元对任意网格剖分都较快地收敛。
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| 关 键 词： | 非协调有限元 三角形板元 收敛 |
Sufficient Conditions for the Convergence of Nonconforming-Plate Elements |
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| Zhang Fei.Sufficient Conditions for the Convergence of Nonconforming-Plate Elements[J].Journal of University of Science and Technology of China,1989(4). |
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| Authors: | Zhang Fei |
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| Institution: | Zhang Fei Department of Mathematics |
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| Abstract: | Three simple sufficient conditions are presented for the convergence ofplate elements, that is, the finite lement space should contain the piecewisesecond order polynomials, the shape functions should be continuous at henodes of elements, and the mean values of the normal derivatives of the shape functions should be continuous cross the sides of two adjacent elements.Based on these conditions, two methods of constructing convergent plate le-ments are discussed. The numerical experiments indicate that the new elementscan converge very rapidly for any eshes. |
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| Keywords: | nonconforming finite element triangular plate elements convergence |
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