| 双调和方程混合元的一种新格式 |
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| 引用本文： | 司红颖,陈绍春.双调和方程混合元的一种新格式[J].计算数学,2012,34(2):173-182. |
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| 作者姓名： | 司红颖 陈绍春 |
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| 作者单位： | 1. 商丘师范学院数学系, 河南商丘 476000;
2. 郑州大学数学系, 郑州 450052 |
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| 摘 要： | 本文介绍了双调和方程混合元的一种新格式,用双二次多项式逼近流函数,双一次多项式逼近涡函数.在拟一致矩形剖分的条件下,证明了此格式具有与C-R格式中分别用双二次多项式逼近相同的收敛阶.
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| 关 键 词： | 双调和方程 混合有限元方法 Ciarlet-Raviart格式 |
| 收稿时间： | 2011-08-29; |
A NEW MIXED FINITE ELEMENT SCHEME FOR THE BIHARMONIC EQUATION |
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| Si Hongying
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Chen Shaochun.A NEW MIXED FINITE ELEMENT SCHEME FOR THE BIHARMONIC EQUATION[J].Mathematica Numerica Sinica,2012,34(2):173-182. |
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| Authors: | Si Hongying Chen Shaochun |
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| Institution: | 1. Department of Mathematics, Shangqiu Normal University, Shangqiu 476000, Henan, China;
2. Department of Mathematics, Zhengzhou University, Zhengzhou 450052, China |
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| Abstract: | In this paper,a new mixed finite element scheme for solving the biharmonic equation is introduced,in which bilinear and biquadratic elements are used for approximating the vorticity and the stream function,respectively.Under the conditions that rectangulartion is quasi-uniform,it is proved that the scheme has the same order of accuracy as the standard Ciarlet-Raviart scheme using biquadratic finite elements. |
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| Keywords: | biharmonic equation the mixed finite element Ciarlet-Raviart |
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