SUPERCONVERGENCE ANALYSIS AND ERROR EXPANSION FOR THE WILSON NONCONFORMING FINITE-ELEMENT

被引：47
作者：
CHEN, HS
LI, B
机构：
[1] UNIV HEIDELBERG,INST ANGEW MATH,D-69120 HEIDELBERG,GERMANY
[2] UNIV MINNESOTA,SCH MATH,MINNEAPOLIS,MN 55455
来源：
NUMERISCHE MATHEMATIK | 1994年 / 69卷 / 02期
关键词：
D O I：
10.1007/s002110050084
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper the Wilson nonconforming finite element is considered for solving a class of two-dimensional second-order elliptic boundary value problems. Superconvergence estimates and error expansions are obtained for both uniform and non-uniform rectangular meshes. A new lower bound of the error shows that the usual error estimates are optimal. Finally a discussion on the error behaviour in negative norms shows that there is generally no improvement in the order by going to weaker norms.
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页码：125 / 140
页数：16
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