| 双二次有限元解导数的超收敛性 |
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| 引用本文： | 金继承 黄云清. 双二次有限元解导数的超收敛性[J]. 湘潭大学自然科学学报, 1993, 15(2): 8-14 |
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| 作者姓名： | 金继承 黄云清 |
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| 作者单位： | 湘潭大学数学系(金继承)，湘潭大学数学系(黄云清) |
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| 摘 要： | 本文通过对双二次有限元解在Gauss点上的导数值进行加权平均而得到了具有O(h~4)精度的导数近似值,比通常的超收敛结果高一阶,数值例子显示本文的结果优于插值有限元法。
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| 关 键 词： | 超收敛 导数 有限元 双二次元 |
A SUPERCONVERGENT GRADIENT APPROXIMATION FROM BIQUADRATIC ELEMENT |
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| Jin Jicheng Huang Yunqing. A SUPERCONVERGENT GRADIENT APPROXIMATION FROM BIQUADRATIC ELEMENT[J]. Natural Science Journal of Xiangtan University, 1993, 15(2): 8-14 |
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| Authors: | Jin Jicheng Huang Yunqing |
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| Affiliation: | Department of Mathematics |
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| Abstract: | In this paper the authors present a superconvergent gradientapproximation by using a simple weighted average of the gradientof biquadratic element solution on the Gauss points. It is shown thatthe accuracy is of order O(h~4|lnh|)in maximum norm.There is oneorder higher than the usual superconvergent results on the Gausspoints.Numerical example shows the advantage over the InterpolatedFinite Element method and supports the theoretical results of thispaper. |
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| Keywords: | superconvergence biquadratic element |
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