• 论文 •

### 双调和方程混合元的一种新格式

1. 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
• 收稿日期:2011-08-29 出版日期:2012-05-15 发布日期:2012-05-20
• 基金资助:

国家自然科学基金 (No.11071226).

Si Hongying, Chen Shaochun. A NEW MIXED FINITE ELEMENT SCHEME FOR THE BIHARMONIC EQUATION[J]. Mathematica Numerica Sinica, 2012, 34(2): 173-182.

### A NEW MIXED FINITE ELEMENT SCHEME FOR THE BIHARMONIC EQUATION

Si Hongying1, Chen Shaochun2

1. 1. Department of Mathematics, Shangqiu Normal University, Shangqiu 476000, Henan, China;
2. Department of Mathematics, Zhengzhou University, Zhengzhou 450052, China
• Received:2011-08-29 Online:2012-05-15 Published:2012-05-20

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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