| ACM元各向异性分析的Newton方法 |
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| 引用本文： | 赵永成,陈绍春. ACM元各向异性分析的Newton方法[J]. 计算数学, 2011, 33(3): 269-274 |
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| 作者姓名： | 赵永成 陈绍春 |
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| 作者单位： | 郑州大学数学系, 郑州 450001 |
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| 摘 要： | 本文将一维Lagrange插值多项式的Newton表达式推广到二维非标准的Hermite插值,给出著名板元-ACM元插值多项式的Newton表达式,由此给出ACM元对四阶和二阶椭圆问题的各向异性插值误差估计,为复杂单元的各向异性分析开辟了新的途径.
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| 关 键 词： | 各向异性插值 差商 Newton公式 ACM元 |
| 收稿时间： | 2010-06-24; |
NEWTON'S METHOD FOR ANISOTROPIC ANALYSIS OF ACM ELEMENT |
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| Zhao Yongcheng,Chen Shaochun. NEWTON'S METHOD FOR ANISOTROPIC ANALYSIS OF ACM ELEMENT[J]. Mathematica Numerica Sinica, 2011, 33(3): 269-274 |
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| Authors: | Zhao Yongcheng Chen Shaochun |
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| Affiliation: | Department of Mathematics, Zhengzhou University, Zhengzhou 450001, China |
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| Abstract: | In this paper we generalize the Newton's formula of Lagrange interpolation in one dimension to nonstandard Hermite interpolation in two dimension, and give Newton's formula for the interpolation polynomial of well-known ACM plate element. By this formula we give anisotropic interpolation error estimates of ACM element for 4-order and 2-order elliptic problems which open new analysis method for anisotropic finite elements. |
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| Keywords: | Anisotropic interpolation Divided difference Newton's formula ACM |
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