High accuracy nonconforming finite elements for fourth-order problems
type: Item
instance of: scholarly article
title: High accuracy nonconforming finite elements for fourth-order problems
zbMATH Open document ID: 1264.65200
author: Ming Wang
author: PengHe Zu
author: Shuo Zhang
published in: Science China. Mathematics
publication date: 2013-01-28T00:00:00Z
review text: The paper presents a family of nonconforming finite elements for fourth-order problems for a simplicial triangulation with a high order convergence rate. The authors provide a unified way for the construction of the elements with respect to the dimension, with the aim of balancing the accuracy and the complexity of the finite element method for fourth-order problems. The method can be employed in arbitrary dimensions. Numerical examples are also presented.
reviewed by: Jiguang Sun
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J40
Mathematics Subject Classification ID: 65N12
zbMATH DE Number: 6131122
zbMATH Keywords: fourth-order problem
zbMATH Keywords: nonconforming finite element
zbMATH Keywords: high accuracy
zbMATH Keywords: arbitrary dimension
zbMATH Keywords: convergence
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
full work available at URL: s11425-012-4429-4
OpenAlex ID: W2269549780
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DOI: 10.1007/S11425-012-4429-4
description: scientific article; zbMATH DE number 6131122