Convergence Analysis for Cubic Serendipity Finite Elements with Thirty-Two Degrees of Freedom

被引：1
|
作者：
Liu, Jinghong [1 ]
Huo, Xiaocheng [2 ]
机构：
[1] Zhejiang Univ, Ningbo Inst Technol, Ningbo 315100, Zhejiang, Peoples R China
[2] Zhuzhou Professh Tech Coll, Dept Fundamental Cours, Zhuzhou 412001, Peoples R China
来源：
COMPUTATIONAL MATERIALS SCIENCE, PTS 1-3 | 2011年 / 268-270卷
关键词：
Supercloseness; Cubic Serendipity Elements; Interpolation Operator of Projection Type; SUPERCONVERGENCE; SUPERAPPROXIMATION; GRADIENT; POINTS;
D O I：
10.4028/www.scientific.net/AMR.268-270.501
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, we consider the Poisson problem with homogeneous Dirichlet boundary conditions on the bounded open domain Omega is an element of R-3 and analyze convergence phenomena that appear by using cubic serendipity block elements with thirty-two degrees of freedom. By means of the standard Legendre polynomial technique, we derive an error estimate, which is not superconvergent and shows this serendipity element has not pointwise supercloseness properties.
引用
收藏
页码：501 / +
页数：3
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