Bounds of Interpolation Error for Arbitrary Narrow Quadrilateral Quas-i Wilson Element

Chinese Quarterly Journal of Mathematics ›› 2001, Vol. 16 ›› Issue (3): 22-28.

Bounds of Interpolation Error for Arbitrary Narrow Quadrilateral Quas-i Wilson Element

郑州大学学报编辑部!河南郑州450052郑州大学数学系!河南郑州450052

Received:2000-12-30 Online:2001-09-30 Published:2024-05-31
About author:LI Qing-shan（1964－）,male,native of Huaiyang,Henan,a lecturer of Zhengzhou University,Ph．D．,engages in finite element method．
Supported by:
Supported by the Natural Science Foundation of Henan Province（994052600）

Abstract

Abstract: 基于参考元的构造和双线性变换 ,本文给出了一个任意窄四边形类Wilson元 .利用窄四边形等参有限元的插值定理和有关方法 ,当正则性条件 ρ_K/h_K ≥σ₀>0不满足时 ,得到了任意窄四边形类Wilson元的插值误差 ,其中h_K 为单元K的直径 ,ρ_K 为K中内切圆的直径 .如果被插函数属于H²(K) ,在L²(K)模下的插值误差为O(h²_K) ,在H¹ (K)模下的误差为O(h_K)。

Key words: , 插值误差, 类Wilson元, 任意窄四边形, 非正则性, ,

CLC Number:

O241.3

LI Qing-shan, CHEN Shao-chun. Bounds of Interpolation Error for Arbitrary Narrow Quadrilateral Quas-i Wilson Element[J]. Chinese Quarterly Journal of Mathematics, 2001, 16(3): 22-28.

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Bounds of Interpolation Error for Arbitrary Narrow Quadrilateral Quas-i Wilson Element

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