• 论文 •

### 一个新的非常规Hermite型各向异性矩形元的超收敛分析及外推

1. 郑州大学数学系,郑州大学数学系 郑州 450002 ,郑州 450002 哈尔滨工业大学理学院,哈尔滨 150001
• 出版日期:2005-04-14 发布日期:2005-04-14

### SUPERCONVERGENCE ANALYSIS AND EXTRAPOLATION OF A NEW UNCONVENTIONAL HERMITE-TYPE ANISOTROPIC RECTANGULAR ELEMENT

1. Shi Dongyang (Department of Mathematics, Zhengzhou University, Zhengzhou 450002, China) Liang Hui (Department of Mathematics, Zhengzhou University, Zhengzhou 450002, China; School of Science, Harbin Institute of Technology, Harbin 150001, China)
• Online:2005-04-14 Published:2005-04-14

In this paper, a new unconventional Hermite-type rectangular element for the second order elliptic problem is constructed. The anisotropic character is proved by using anisotropic interpolate basic theorem, thus this element can be applied to arbitrary rectangular subdivision. At the same time, the superclose and super-convergence properties and extrapolation are obtained, which are independent of the regular assumption and quasi-uniform assumption of the meshes. Numerical results which coincide with our theoretical analysis show that this element indeed has very good convergence behavior.

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