Further results on ultraconvergence derivative recovery for odd-order rectangular finite elements
type: Item
instance of: scholarly article
title: Further results on ultraconvergence derivative recovery for odd-order rectangular finite elements
zbMATH Open document ID: 1181.65144
author: JiDong Wei
author: Qi-Ding Zhu
published in: Science in China. Series A
publication date: 2009-12-07T00:00:00Z
review text: For rectangular finite element, the authors give a superconvergence method by SPR technique based on the generalization of a new ultraconvergence record and the sharp Green function estimates, by which they prove that the derivative has ultra-convergence of order \(O(h ^{k+3})\) (\(k \geqslant 3\) being odd) and displacement has order of \(O(h ^{k+4})\) (\(k \geqslant 4\) being even) at the locally symmetry points.
reviewed by: Wilhelm Heinrichs
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 5643471
zbMATH Keywords: finite element
zbMATH Keywords: ultra-convergence
zbMATH Keywords: locally symmetric meshes
zbMATH Keywords: SPR operator
MaRDI profile type: Publication
full work available at URL: s11425-008-0160-6
OpenAlex ID: W1989526984
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DOI: 10.1007/S11425-008-0160-6
description: scientific article; zbMATH DE number 5643471