On the finite element approximation of variational inequalities with noncoercive operators

Research output: Contribution to journalArticle

3 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 languageEnglish
Pages (from-to)1107-1121
Number of pages15
JournalNumerical Functional Analysis and Optimization
Volume36
Issue number9
DOIs
Publication statusPublished - Sep 2 2015

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Subsolution
Finite Element Approximation
Variational Inequalities
Mathematical operators
Error Estimates
Finite Element Method
Finite element method
Operator
Standards
Concepts

Keywords

  • Bensoussan-Lions algorithm
  • Finite elements
  • L <sup>∞</sup>-error estimate
  • Subsolution
  • Variational inequalities

ASJC Scopus subject areas

  • Analysis
  • Control and Optimization
  • Signal Processing
  • Computer Science Applications

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 <sup>∞</sup>-error estimate, Subsolution, Variational inequalities",
author = "Messaoud Boulbrachene",
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