Convergence and superconvergence analysis of a new quadratic Hermite-type triangular element on anisotropic meshes

被引：8
作者：
Shi, Dongyang [1 ]
Liang, Hui [2 ]
机构：
[1] Zhengzhou Univ, Dept Math, Zhengzhou 450052, Peoples R China
[2] Heilongjiang Univ, Dept Math, Harbin 150001, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2009年 / 212卷 / 01期
关键词：
Hermite-type; Triangular finite element; Anisotropic meshes; Convergence; Superconvergence; PATCH RECOVERY; INTERPOLATION;
D O I：
10.1016/j.amc.2009.02.027
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new quadratic Hermite-type triangular finite element is conceived to solve a class of two-dimensional second-order elliptic boundary value problems. Its error estimates on anisotropic meshes are developed. Furthermore, we verify that some conditions set to the meshes contribute to the proof of its superconvergence properties, which can improve the approximation results. Numerical examples are given to confirm our theoretical analysis. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码：257 / 269
页数：13
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