THE SUPERCONVERGENCE ANALYSIS OF AN ANISOTROPIC FINITE ELEMENT

被引：22
|
作者：
SHI Dongyang ZHU Huiqing (Department of Mathematics
机构：
来源：
Journal of Systems Science and Complexity | 2005年 / 04期
基金：
中国国家自然科学基金;
关键词：
Bilinear finite element; superclose; superconvergence; anisotropic meshes; high accuracy;
D O I：
暂无
中图分类号：
O241.8 [微分方程、积分方程的数值解法];
学科分类号：
摘要：
This paper deals with the high accuracy analysis of bilinear finite element on the class of anisotropic rectangular meshes. The inverse inequalities on anisotropic meshes are established. The superclose and the superconvergence are obtained for the second order elliptic problem. A numerical test is given, which coincides with our theoretical analysis.
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页码：478 / 487
页数：10
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