Maximum-norm superapproximation of the gradient for the trilinear block finite element

被引：24

作者：

Liu, Jinghong ^{[1
]}

Zhu, Qiding ^{[1
]}

机构：

[1] Hunan Normal Univ, Sch Math & Comp Sci, Changsha 410081, Peoples R China

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2007年 / 23卷 / 06期

关键词：

block element; discrete derivative Green's function; interpolation operator of projection type; superapproximation; weak estimate of the first type;

D O I：

10.1002/num.20237

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a model elliptic boundary value problem in three dimensions, we give the weak estimate of the first type for trilinear block elements and the estimate for W-1,W-1-seminorm of the discrete derivative Green's function over rectangular partitions of the domain, from which we obtain maximum-norm superapproximation of the gradient for the trilinear block finite element approximation. Furthermore, utilizing this superapproximation, we can also obtain maximum-norm superconvergence of the gradient. (c) 2007 Wiley Periodicals, Inc.

引用

页码：1501 / 1508

页数：8