| 二阶椭圆问题的六面体等参元逼近 |
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| 引用本文： | 张斐然. 二阶椭圆问题的六面体等参元逼近[J]. 江西师范大学学报(自然科学版), 2009, 33(2) |
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| 作者姓名： | 张斐然 |
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| 作者单位： | 商丘师范学院,数学系,河南,商丘,476000 |
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| 基金项目： | 国家自然科学基金，河南省基础与前沿技术研究项目 |
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| 摘 要： | 研究了(2)型等参六面体元,分析了其收敛性并给出了最优插值误差估计.针对等参元误差估计中要用到等参变换可逆的条件,给出了它的一种可实现性,并把它应用到曲面区域的三维二阶椭圆问题.
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| 关 键 词： | 六面体等参元 等参变换 插值误差 最优误差估计 |
The Approximation by Hexahedral Isoparametric Element of 2nd Order Elliptic Problem |
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| ZHANG Fei-ran. The Approximation by Hexahedral Isoparametric Element of 2nd Order Elliptic Problem[J]. Journal of Jiangxi Normal University (Natural Sciences Edition), 2009, 33(2) |
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| Authors: | ZHANG Fei-ran |
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| Affiliation: | Department of Mathematics;Shangqiu Teachers Colloege;Shangqiu Henan 476000;China |
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| Abstract: | The convergence of hexahedral isoparametric element of form(2) is analysed in this paper,then the optical interpolation error estimation of it is obtained.As the reversibility of isoparametric transformation is always supposed to be true in published papers,a kind of realizability of the reversibility is proposed,then it is used to solve 3-dimensional 2-order elliptic problem on surface domain. |
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| Keywords: | hexahedral isoparametric element isoparametric transformation interpolation error optimal error estimates |
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