High accuracy analysis of the Adini's nonconforming element
type: Item
instance of: scholarly article
title: High accuracy analysis of the Adini's nonconforming element
zbMATH Open document ID: 1003.65129
author: R. Smith
published in: Computing
publication date: 2002-06-10T00:00:00Z
review text: This paper can be viewed as a continuation of the convergence and a priori error estimate studies developed by \textit{P. Lascaux} and \textit{P. Lesaint} [Revue Franc. Automat. Informa. Rech. Operat. 9, Analyse Numer. R-1, 9-53 (1975; Zbl 0319.73042)] and by \textit{M. Wang} [J. Comput. Math. 11, No. 3, 276-288 (1993; Zbl 0796.65110)] on the Adini's nonconforming finite element for solving the biharmonic equation with Dirichlet boundary value conditions. The extensions include an improvement of the \(L^\infty\)-error estimates as well as a superconvergence result. A numerical test validates the theoretical results.
reviewed by: Michel Bernadou
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 35J40
zbMATH DE Number: 1753086
zbMATH Keywords: extrapolation
zbMATH Keywords: high accuracy
zbMATH Keywords: error expansion
zbMATH Keywords: numerical examples
zbMATH Keywords: convergence
zbMATH Keywords: error estimate
zbMATH Keywords: Adini's nonconforming finite element
zbMATH Keywords: biharmonic equation
zbMATH Keywords: superconvergence
MaRDI profile type: Publication
full work available at URL: s006070200003
OpenAlex ID: W2069809949
DOI: 10.1007/S006070200003
description: scientific article; zbMATH DE number 1753086