On the finite element approximation of variational inequalities with noncoercive operators

Messaoud Boulbrachene

doi:10.1080/01630563.2015.1056913

On the finite element approximation of variational inequalities with noncoercive operators

Messaoud Boulbrachene^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

In this article, we introduce a new method to analyze the convergence of the standard finite element method for variational inequalities with noncoercive operators. We derive an optimal L ^∞ error estimate by combining the Bensoussan-Lions algorithm with the concept of subsolutions.

Original language	English
Pages (from-to)	1107-1121
Number of pages	15
Journal	Numerical Functional Analysis and Optimization
Volume	36
Issue number	9
DOIs	https://doi.org/10.1080/01630563.2015.1056913
Publication status	Published - Sep 2 2015
Externally published	Yes

Keywords

Bensoussan-Lions algorithm
Finite elements
L -error estimate
Subsolution
Variational inequalities

ASJC Scopus subject areas

Analysis
Signal Processing
Computer Science Applications
Control and Optimization

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10.1080/01630563.2015.1056913

Cite this

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abstract = "In this article, we introduce a new method to analyze the convergence of the standard finite element method for variational inequalities with noncoercive operators. We derive an optimal L ∞ error estimate by combining the Bensoussan-Lions algorithm with the concept of subsolutions.",

keywords = "Bensoussan-Lions algorithm, Finite elements, L -error estimate, Subsolution, Variational inequalities",

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KW - L -error estimate

KW - Subsolution

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On the finite element approximation of variational inequalities with noncoercive operators

Abstract

Keywords

ASJC Scopus subject areas

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