Convergence Analysis for Cubic Serendipity Finite Elements with Thirty-Two Degrees of Freedom-Reference-Cited by-同舟云学术

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

Published:2011-07 Issue: Volume:268-270 Page:501-504
ISSN:1662-8985
Container-title:Advanced Materials Research
language:
Short-container-title:AMR

Author:

Liu Jing Hong¹,Huo Xiao Cheng²

Affiliation:

1. Ningbo Institute of Technology, Zhejiang University

2. Zhuzhou Professional Technology College

Abstract

In this paper, we consider the Poisson problem with homogeneous Dirichlet boundary conditions on the bounded open domain 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.

Publisher

Trans Tech Publications, Ltd.

Subject

General Engineering

Link

https://www.scientific.net/AMR.268-270.501.pdf

Reference22 articles.

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