Uniform superapproximation of the derivative of tetrahedral quadratic finite element approximation

被引：3

作者：

Liu, JH ^{[1
]}

Zhu, QD

机构：

[1] Hunan Univ, Inst Appl Math, Changsha 410082, Peoples R China

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

来源：

JOURNAL OF COMPUTATIONAL MATHEMATICS | 2005年 / 23卷 / 01期

关键词：

tetrahedron; superapproximation; finite element;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper,we will prove the derivative of tetrahedral quadratic finite element approximation is superapproximate to the derivative of the quadratic Lagrange interpolant of the exact solution in the L-infinity-norm, which can be used to enhance the accuracy of the derivative of tetrahedral quadratic finite element approximation to the derivative of the exact solution.

引用

页码：75 / 82

页数：8

共 50 条

[1] On the quadratic finite element approximation to the obstacle problem
Wang L.-H.
Numerische Mathematik, 2002, 92 (4) : 771 - 778
[2] Quadratic finite element approximation of the Signorini problem
Belhachmi, Z
Ben Belgacem, F
MATHEMATICS OF COMPUTATION, 2003, 72 (241) : 83 - 104
[3] On the quadratic finite element approximation to the obstacle problem
Wang, LH
NUMERISCHE MATHEMATIK, 2002, 92 (04) : 771 - 778
[4] Finite strain, finite rotation quadratic tetrahedral element for the combined finite-discrete element method
Xiang, Jiansheng
Munjiza, Antonio
Latham, John-Paul
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2009, 79 (08) : 946 - 978
[5] A transition element for uniform strain hexahedral and tetrahedral finite elements
Dohrmann, CR
Key, SW
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1999, 44 (12) : 1933 - 1950
[6] Quadratic immersed finite element spaces and their approximation capabilities
Brian Camp
Tao Lin
Yanping Lin
Weiwei Sun
Advances in Computational Mathematics, 2006, 24 : 81 - 112
[7] Quadratic immersed finite element spaces and their approximation capabilities
Camp, B
Lin, T
Lin, YP
Sun, WW
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2006, 24 (1-4) : 81 - 112
[8] Global L2 superconvergence of the tetrahedral quadratic finite element
Yang, Peng
Li, Yonghai
Wang, Xiang
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2023, 133 : 104 - 123
[9] Gradient Superconvergence Post-processing of the Tetrahedral Quadratic Finite Element
Liu, Jinghong
Jia, Yinsuo
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2015, 18 (01) : 158 - 165
[10] Finite element simulation of articular contact mechanics with quadratic tetrahedral elements
Maas, Steve A.
Ellis, Benjamin J.
Rawlins, David S.
Weiss, Jeffrey A.
JOURNAL OF BIOMECHANICS, 2016, 49 (05) : 659 - 667

← 1 2 3 4 5 →