| 三角形线元的渐近展开与外推 |
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| 引用本文： | 王胜兵.三角形线元的渐近展开与外推[J].海军工程大学学报,1992(4). |
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| 作者姓名： | 王胜兵 |
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| 作者单位： | 海军工程学院训练部 |
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| 摘 要： | 本文通过正则坐标变换,把光滑域上的有限元解的误差估计转化为正六边形域上6PC剖分下的误差估计。在适当的条件下给出了三角形线元解的渐近展开式(u—u_h)(z)=c(u)h~2+o(h~3|lnh|)及外推估计式‖u-u_h‖_(0,2,M~h)=o(h~3|lnh|)。
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| 关 键 词： | 坐标变换 6PC剖分 渐近展开 外推 |
The Asymptotic Expansion and Extrapolation of the Finite Linear Element of Triangle |
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| Wang Shengbing.The Asymptotic Expansion and Extrapolation of the Finite Linear Element of Triangle[J].Journal of Naval University of Engineering,1992(4). |
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| Authors: | Wang Shengbing |
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| Institution: | Wang Shengbing |
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| Abstract: | In this paper, using the regular coordinate transformation, we can translate the problem of the finite element error estimates in smooth domain to one in hexagonal domain. In proper conditions, we obtain the asymptotic expansion and extrapolation of the linear finite element of triangle. |
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| Keywords: | Coordinate transformation 6PC split Asymptotic expansion Extrapolation |
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