Pointwise accuracy of a finite element method for nonlinear variational inequalities
type: Item
instance of: scholarly article
title: Pointwise accuracy of a finite element method for nonlinear variational inequalities
zbMATH Open document ID: 0661.65065
DOI: 10.1007/BF01396485
author: Ricardo H. Nochetto
published in: Numerische Mathematik
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/133336
review text: One considers a partial differential equation equivalent to a nonlinear variational inequality -div F(\(\nabla u)+b(u)\ni f\), and a numerical approximation is proposed by combining continuous piecewise linear finite elements with a preliminary regularization of b. The result is quasi optimal in \(L^{\infty}\); and the case of locally coercive vector fields is considered.
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 35R45
zbMATH DE Number: 4080787
zbMATH Keywords: nonlinear variational inequality
zbMATH Keywords: finite elements
zbMATH Keywords: regularization
reviewed by: Guy Jumarie
MaRDI profile type: Publication
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OpenAlex ID: W2332021431
description: scientific article; zbMATH DE number 4080787