| 数值解法中的单元形状函数技巧 |
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| 引用本文： | 徐丙慧,舒雅琴.数值解法中的单元形状函数技巧[J].苏州科技学院学报(社会科学版),1992(Z1). |
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| 作者姓名： | 徐丙慧 舒雅琴 |
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| 作者单位： | 铁道师院学报编辑部
(徐丙慧)，成都地院信息室(舒雅琴) |
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| 摘 要： | 本文介绍从一组互不相关的函数中推导数值法中单元形状函数的简便而有效的算法,以特定的一维内插方法导出各种二维、三维的内插方法,它们对奇异性的模拟是有益的;为了适用于延伸到无限远的单元,假设形状函数类似于Lagrange多项式,但包含了一个按指数衰减的项。
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| 关 键 词： | 单元形状函数 内插法 数值解 |
The Skill of Element Shape Function in Numerical Methods |
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| Xu Binghui.The Skill of Element Shape Function in Numerical Methods[J].Journal of University of Science and Technology of Suzhou:Social Science,1992(Z1). |
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| Authors: | Xu Binghui |
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| Institution: | Xu Binghui
( Journal Editorial department )
Shu Yaqin
( Chendu Geology Institute ) |
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| Abstract: | A concise and efficient algorithm is presented for deriving element shape functions in numerical methods from an arbitrary set of indepen -dent functions. Based on special one-dimensional interpolatory schemes, varieties of two- and three-dimensional interpolatory schemes are developed, which are useful for modelling singular behaviour. The shape functions are assumed to be analogous to Lagrange polynomials but including an exponential decay term so as to be appropriate for elements which extend to infinity. |
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| Keywords: | element shape functions interpolation numerical solution |
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