C0-nonconforming tetrahedral and cuboid elements for the three-dimensional fourth order elliptic problem

Hongru Chen, Shaochun Chen, Zhonghua Qiao

Research output: Journal article publicationJournal articleAcademic researchpeer-review

21 Citations (Scopus)

Abstract

In this paper, a theoretical framework is constructed on how to develop C0-nonconforming elements for the fourth order elliptic problem. By using the bubble functions, a simple practical method is presented to construct one tetrahedral C0-nonconforming element and two cuboid C0-nonconforming elements for the fourth order elliptic problem in three spacial dimensions. It is also proved that one element is of first order convergence and other two are of second order convergence. From the best knowledge of us, this is the first success in constructing the second-order convergent nonconforming element for the fourth order elliptic problem.
Original languageEnglish
Pages (from-to)99-119
Number of pages21
JournalNumerische Mathematik
Volume124
Issue number1
DOIs
Publication statusPublished - 1 Jan 2013

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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