| 一类椭圆型方程修正有限元解的高阶渐近展开 |
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| 引用本文： | 周素华 黄云清. 一类椭圆型方程修正有限元解的高阶渐近展开[J]. 湘潭大学自然科学学报, 1998, 20(4): 17-21 |
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| 作者姓名： | 周素华 黄云清 |
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| 作者单位： | 湘潭大学数学系 |
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| 摘 要： | 该文基于标准有限元的渐近展开，利用原方程的扰动，构造了一种非标准的有限元方法，并得到了解的整体高阶渐近展式，从而可以利用各种后处理技术．
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| 关 键 词： | 有限元；修正有限元；渐近展开；椭圆型方程 |
THE ASYMPTOTIC EXPANSIONS OF A MODIFIED FINITE ELEMENT APPROXIMATIONS FOR A KIND OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS |
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| Zhou Suhua Huang Yunqing. THE ASYMPTOTIC EXPANSIONS OF A MODIFIED FINITE ELEMENT APPROXIMATIONS FOR A KIND OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS[J]. Natural Science Journal of Xiangtan University, 1998, 20(4): 17-21 |
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| Authors: | Zhou Suhua Huang Yunqing |
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| Abstract: | In this paper,we consider a Dirichlet value problem of Poisson equation by a modified finite element method.Based on the standard finite element asymptoic expansions, we obtained a global high order asymptotic expansions. |
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| Keywords: | finite element modified finite element asymptotic expansion |
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