An \(L^ 2\)-error estimate for an approximation of the solution of a parabolic variational inequality
type: Item
instance of: scholarly article
title: An \(L^ 2\)-error estimate for an approximation of the solution of a parabolic variational inequality
zbMATH Open document ID: 0696.65069
DOI: 10.1007/BF01386423
published in: Numerische Mathematik
publication date: 1990-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/133461
review text: We estimate the order of the difference between the numerical approximation and the solution of a parabolic variational inequality. The numerical approximation is obtained using a finite element discretization in space and a finite difference discretization in time which is more general than is used in the literature. We obtain better error estimates than those given in the literature. The error estimates are compared with numerical experiments.
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J85
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 49M25
Mathematics Subject Classification ID: 49M15
zbMATH DE Number: 4141431
zbMATH Keywords: parabolic variational inequality
zbMATH Keywords: finite element discretization in space
zbMATH Keywords: finite difference discretization in time
zbMATH Keywords: error estimates
zbMATH Keywords: numerical experiments
author: C. Vuik
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4141431