\(C^0\)-nonconforming triangular prism elements for the three-dimensional fourth-order elliptic problem
type: Item
instance of: scholarly article
title: \(C^0\)-nonconforming triangular prism elements for the three-dimensional fourth-order elliptic problem
zbMATH Open document ID: 1269.65122
author: Hongru Chen
author: Shaochun Chen
author: Zhonghua Qiao
published in: Journal of Scientific Computing
publication date: 2013-06-19T00:00:00Z
review text: Thanks to the use of bubble functions, two \(C^0\)-nonconforming triangular prism elements for a fourth-order elliptic problem in three dimensions are constructed. By the abstract convergence theorem of \textit{H. Chen} et al. [Numer. Math. 124, No. 1, 99--119 (2013; Zbl 1276.65078)], one element is proved to be of first order convergent and the other one is proved to be of second order convergent.
reviewed by: Abdallah Bradji
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 35J40
zbMATH DE Number: 6176964
zbMATH Keywords: fourth-order elliptic problem
zbMATH Keywords: bubble functions
zbMATH Keywords: \(C^0\)-nonconforming elements
zbMATH Keywords: error estimates
zbMATH Keywords: convergence
MaRDI profile type: Publication
full work available at URL: s10915-012-9652-1
OpenAlex ID: W2022074969
Wikidata QID: Q57653363
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DOI: 10.1007/S10915-012-9652-1
description: scientific article; zbMATH DE number 6176964