Paper Title:
Convergence Analysis for Cubic Serendipity Finite Elements with Thirty-Two Degrees of Freedom
  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.

  Info
Periodical
Advanced Materials Research (Volumes 268-270)
Edited by
Feng Xiong
Pages
501-504
DOI
10.4028/www.scientific.net/AMR.268-270.501
Citation
J. H. Liu, X. C. Huo, "Convergence Analysis for Cubic Serendipity Finite Elements with Thirty-Two Degrees of Freedom", Advanced Materials Research, Vols. 268-270, pp. 501-504, 2011
Online since
July 2011
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