On the quadratic finite element approximation to the obstacle problem
type: Item
instance of: scholarly article
title: On the quadratic finite element approximation to the obstacle problem
zbMATH Open document ID: 1049.65062
author: Lieheng Wang
published in: Numerische Mathematik
publication date: 2003-03-18T00:00:00Z
review text: A quadratic finite element approximation to an obstacle problem with nonhomogeneous data is considered, without the hypothesis that the free boundary has finite length [see \textit{F. Brezzi}, \textit{W. W. Hager} and \textit{P. A. Raviart}, Numer. Math. 28, 431--443, (1977; Zbl 0369.65030) for details]. The error bound \(O(h^{{3 \over 2} - \epsilon})\) for any \(\epsilon > 0\) is obtained.
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 49M15
Mathematics Subject Classification ID: 49J40
zbMATH DE Number: 1883916
zbMATH Keywords: finite elemene
zbMATH Keywords: obstacle problem
zbMATH Keywords: free boundary
zbMATH Keywords: error bound
reviewed by: Viorel Arnăutu
MaRDI profile type: Publication
full work available at URL: s002110100368
OpenAlex ID: W2074987839
DOI: 10.1007/S002110100368
description: scientific article; zbMATH DE number 1883916