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

Mathematics & Statistics

Research output: Contribution to journal › Article

4 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

Keywords

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

ASJC Scopus subject areas

Analysis
Control and Optimization
Signal Processing
Computer Science Applications

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Boulbrachene, M. (2015). On the finite element approximation of variational inequalities with noncoercive operators. Numerical Functional Analysis and Optimization, 36(9), 1107-1121. https://doi.org/10.1080/01630563.2015.1056913

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