C0-nonconforming triangular prism elements for the three-dimensional fourth order elliptic problem

Hong Ru Chen, Shao Chun Chen, Zhonghua Qiao

Research output: Journal article publicationJournal articleAcademic researchpeer-review

6 Citations (Scopus)

Abstract

In this paper, using the bubble functions, we construct two C0-nonconforming triangular prism elements for the fourth order elliptic problem in three dimensions. By the abstract convergence theorem in (Chen et al. in Numer. Math. (2012, accepted)), one element is proved to be of first order convergence and the other one is proved to be of second order convergence.
Original languageEnglish
Pages (from-to)645-658
Number of pages14
JournalJournal of Scientific Computing
Volume55
Issue number3
DOIs
Publication statusPublished - 1 Jan 2013

Keywords

  • Bubble functions
  • C -nonconforming elements 0
  • Error estimates
  • Fourth order elliptic problem

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Software
  • Engineering(all)
  • Computational Theory and Mathematics

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