| 一类微分方程的非协调元超逼近性分析 |
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| 引用本文： | 石东洋,刘玉晓. 一类微分方程的非协调元超逼近性分析[J]. 河南师范大学学报(自然科学版), 2010, 38(3) |
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| 作者姓名： | 石东洋 刘玉晓 |
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| 作者单位： | 1. 郑州大学,数学系,郑州,450052
2. 河南城建学院,数理系,河南,平顶山,467004 |
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| 摘 要： | 讨论一类抛物积分微分方程带约束的旋转Q1非协调元方法.在摆脱传统的Ritz-Volterra投影,也不需要修正格式前提下,利用Bramble-Hilbert引理和单元的特殊性质,得到了与以往协调元完全相同超逼近性结果.
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| 关 键 词： | 抛物积分微分方程 带约束的旋转Q1元 Bramble-Hilbert引理 超逼近性 |
Supercolseness Analysis of a Nonconforming FiniteElement for a Kind Differential Equation |
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| SHI Dong-yang,LIU Yu-xiao. Supercolseness Analysis of a Nonconforming FiniteElement for a Kind Differential Equation[J]. Journal of Henan Normal University(Natural Science), 2010, 38(3) |
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| Authors: | SHI Dong-yang LIU Yu-xiao |
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| Abstract: | In this paper,supercolseness analysis of the constrained rotated Q1 nonconforming element for a kind parabolic integro-differential equation is discussed.By use of Bramble-Hilbert lemma and the special properties of the element,the supercolseness is derived without Ritz-Volterra projection and modification formulution,which is the same as the previous conforming finite elements. |
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| Keywords: | parabolic integro-differential equation nonconforming constrained rotated Q1 element Bramble-Hilbert lemma supercloseness |
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