Derivative superconvergent points in finite element solutions of harmonic functions - A theoretical justification

被引：0

作者：

Zhang, ZM ^{[1
]}

机构：

[1] Wayne State Univ, Dept Math, Detroit, MI 48202 USA

来源：

MATHEMATICS OF COMPUTATION | 2002年 / 71卷 / 240期

关键词：

superconvergence; finite element; harmonic function;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Finite element derivative superconvergent points for harmonic functions under local rectangular mesh are investigated. A superconvergent points for the finite element space of any order that is contained in the tensor-product space and contains the intermediate family can be predicted. In the case of the serendipity family, results are given for finite element spaces of order below 6. The results justify the computer findings of Babuska, et al.

引用

页码：1421 / 1430

页数：10

共 7 条

[1]

[Anonymous], 1997, LECT NOTES PURE APPL

[2]

[Anonymous], 1996, Numerical Methods for Partial Differential Equations

[3]

[Anonymous], FINITE ELEMENT METHO

[4]

Lebedev N.N., 1972, Dover Books on Math- ematics