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

Hong Ru Chen; Shao Chun Chen; Zhonghua Qiao

doi:10.1007/s10915-012-9652-1

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 publication › Journal article › Academic research › peer-review

8 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 language	English
Pages (from-to)	645-658
Number of pages	14
Journal	Journal of Scientific Computing
Volume	55
Issue number	3
DOIs	https://doi.org/10.1007/s10915-012-9652-1
Publication status	Published - 1 Jan 2013

Keywords

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

ASJC Scopus subject areas

Theoretical Computer Science
Software
General Engineering
Computational Theory and Mathematics

More information

10.1007/s10915-012-9652-1

Cite this

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KW - C -nonconforming elements 0

KW - Error estimates

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