计算数学 2005, 27(4) 369-382 DOI:     ISSN: 0254-7791 CN: 11-2125/O1

本期目录 | 下期目录 | 过刊浏览 | 高级检索                                                            [打印本页]   [关闭]
论文
扩展功能
本文信息
Supporting info
PDF(0KB)
[HTML全文](${article.html_WenJianDaXiao}KB)
参考文献[PDF]
参考文献
服务与反馈
把本文推荐给朋友
加入我的书架
加入引用管理器
引用本文
Email Alert
文章反馈
浏览反馈信息
本文关键词相关文章
超逼近;超收敛;非常规矩形元;各向异性;外推
本文作者相关文章
PubMed

一个新的非常规Hermite型各向异性矩形元的超收敛分析及外推

石东洋,梁慧

郑州大学数学系,郑州大学数学系 郑州 450002 ,郑州 450002 哈尔滨工业大学理学院,哈尔滨 150001

摘要

本文对二阶椭圆问题构造了一个新的非常规Hermite型矩形单元并用各向异性插值基本定理证明了其各向异性特征,从而可用于任意的矩形剖分.同时还得到了与网格的正则性假设和拟一致假设无关的超逼近和超收敛性质以及外推.数值结果表明该单元确实是一个具有很好应用价值的单元且与理论分析是相吻合的.

关键词 超逼近;超收敛;非常规矩形元;各向异性;外推  

SUPERCONVERGENCE ANALYSIS AND EXTRAPOLATION OF A NEW UNCONVENTIONAL HERMITE-TYPE ANISOTROPIC RECTANGULAR ELEMENT

Shi Dongyang (Department of Mathematics, Zhengzhou University, Zhengzhou 450002, China) Liang Hui (Department of Mathematics, Zhengzhou University, Zhengzhou 450002, China; School of Science, Harbin Institute of Technology, Harbin 150001, China)

Abstract:

In this paper, a new unconventional Hermite-type rectangular element for the second order elliptic problem is constructed. The anisotropic character is proved by using anisotropic interpolate basic theorem, thus this element can be applied to arbitrary rectangular subdivision. At the same time, the superclose and super-convergence properties and extrapolation are obtained, which are independent of the regular assumption and quasi-uniform assumption of the meshes. Numerical results which coincide with our theoretical analysis show that this element indeed has very good convergence behavior.

Keywords: Superclose, Superconvergence, Unconventional rectangular element, Anisotropic, Extrapolation  
收稿日期  修回日期  网络版发布日期 2005-04-14 00:00:00.0 
DOI:
基金项目:

通讯作者:
作者简介:

本刊中的类似文章

Copyright 2008 by 计算数学