Accuracy analysis of the Adini element for biharmonic equation
type: Item
instance of: scholarly article
title: Accuracy analysis of the Adini element for biharmonic equation
zbMATH Open document ID: 1065.65129
author: Ping Luo
author: Qun Lin
publication date: 2004-11-26T00:00:00Z
review text: The authors consider a numerical solution of the Dirichlet boundary value problem of the biharmonic equation using nonconforming finite elements of Adini [cf. \textit{P. G. Ciarlet}, The finite element method for elliptic problems (1978; Zbl 0383.65058)]. First, they develop estimates of the interpolation error and the consistency error due to the nonconformity, then they derive error estimates and further an extrapolation formula using a refinement of the mesh. The authors assume a higher regularity of the solution, they do not, however, explain under which conditions this occurs.
reviewed by: Jiří Horák
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J40
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N50
zbMATH DE Number: 2119278
zbMATH Keywords: Adini finite element
zbMATH Keywords: nonconforming
zbMATH Keywords: biharmonic equation
zbMATH Keywords: Dirichlet boundary value problem
zbMATH Keywords: error bounds
zbMATH Keywords: mesh refinement
MaRDI profile type: Publication
full work available at URL: s10114-004-0317-3
OpenAlex ID: W2025288162
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DOI: 10.1007/S10114-004-0317-3
published in: Acta Mathematica Sinica, English Series
description: scientific article; zbMATH DE number 2119278