New construction and ultraconvergence of derivative recovery operator for odd-degree rectangular elements

被引：10

作者：

Zhu, QD ^{[1
]}

Meng, LX ^{[1
]}

机构：

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

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS | 2004年 / 47卷 / 06期

关键词：

SPR; derivative recovery operator; projection type interpolation; ultraconvergence;

D O I：

10.1360/02ys0329

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper the ultraconvergence of the derivative for odd-degree rectangular elements is addressed. A new, discrete least-squares patch recovery technique is proposed to post-process the solution derivatives. Such recovered derivatives are shown to possess ultraconvergence by using projection type interpolation.

引用

页码：940 / 949

页数：10

共 12 条

[1] New construction and ultraconvergence of derivative recovery operator for odd-degree rectangular elements
Qiding Zhu
Lingxiong Meng
Science in China Series A: Mathematics, 2004, 47 : 940 - 949
[2] New construction and ultraconvergence of derivative recovery operator for odd-degree rectangular elements
ZHU Qiding & MENG LingxiongCollege of Mathematics and Computer Science
Science China Mathematics, 2004, (06) : 940 - 949
[3] Further results on ultraconvergence derivative recovery for odd-order rectangular finite elements
WEI JiDong1
Science China Mathematics, 2009, (08) : 1671 - 1684
[4] Further results on ultraconvergence derivative recovery for odd-order rectangular finite elements
JiDong Wei
QiDing Zhu
Science in China Series A: Mathematics, 2009, 52 : 1671 - 1684
[5] Further results on ultraconvergence derivative recovery for odd-order rectangular finite elements
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SCIENCE IN CHINA SERIES A-MATHEMATICS, 2009, 52 (08): : 1671 - 1684
[6] Further results on ultraconvergence derivative recovery for odd-order rectangular finite elements
WEI JiDong ZHU QiDing College of Mathematics and Computer Science Hunan Normal University Changsha China Department of Mathematics Hengyang Normal University Hengyang China
ScienceinChina(SeriesA:Mathematics), 2009, 52 (08) : 1671 - 1684
[7] New cubic fourfolds with odd-degree unirational parametrizations
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[8] Odd-degree elements in the Morava K(n) cohomology of finite groups
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TOPOLOGY AND ITS APPLICATIONS, 2000, 103 (03) : 229 - 241
[9] Unconditional convergence of one more middle derivative for odd-degree spline interpolation
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DOKLADY MATHEMATICS, 2005, 71 (02) : 250 - 252
[10] New methods for quasi-interpolation approximations: Resolution of odd-degree singularities
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Jodar, Joaquin
Rodriguez, Miguel L.
MATHEMATICS AND COMPUTERS IN SIMULATION, 2023, 223 : 50 - 64

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