Superconvergence analysis of finite element method for a second-type variational inequality
type: Item
instance of: scholarly article
title: Superconvergence analysis of finite element method for a second-type variational inequality
zbMATH Open document ID: 1268.65089
DOI: 10.1155/2012/156095
published in: Journal of Applied Mathematics
publication date: 2013-06-03T00:00:00Z
review text: Summary: This paper studies the finite element (FE) approximation to a second-type variational inequality. The superclose and superconvergence results are obtained for conforming bilinear FE and nonconforming EQ\(^{\text{rot}}\) FE schemes under a reasonable regularity of the exact solution \(u \in H^{5/2}(\Omega)\), which seem to be never discovered in the previous literature. The optimal \(L^2\)-norm error estimate is also derived for EQ\(^{\text{rot}}\) FE. At last, some numerical results are provided to verify the theoretical analysis.
Mathematics Subject Classification ID: 65K15
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 49M25
zbMATH DE Number: 6169848
zbMATH Keywords: finite element
zbMATH Keywords: variational inequality
zbMATH Keywords: superconvergence
zbMATH Keywords: error estimate
zbMATH Keywords: numerical results
Wikidata QID: Q58905773
author: Dongyang Shi
author: Hongbo Guan
author: Xiaofei Guan
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/156095
OpenAlex ID: W2125482314
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DBLP publication ID: journals/jam/ShiGG12
description: scientific article; zbMATH DE number 6169848