Pointwise error estimates for a class of elliptic quasi-variational inequalities with nonlinear source terms

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7 Citations (Scopus)

Abstract

In this paper we derive L-error estimates of a piecewise linear approximation method for a class of elliptic quasi-variational inequalities (QVIs) with nonlinear source terms. Our approach stands on a discrete L-stability property with respect to the right-hand side in linear elliptic (QVIs).

Original languageEnglish
Pages (from-to)129-138
Number of pages10
JournalApplied Mathematics and Computation
Volume161
Issue number1
DOIs
Publication statusPublished - Feb 4 2005

Fingerprint

Nonlinear Source
Pointwise Estimates
Quasi-variational Inequalities
Source Terms
Error Estimates
L-stability
Piecewise Linear Approximation
Approximation Methods
Class

Keywords

  • Discrete stability
  • Error estimates
  • Finite elements
  • Fixed point
  • Quasi-variational inequalities
  • Variational inequalities

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics
  • Numerical Analysis

Cite this

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title = "Pointwise error estimates for a class of elliptic quasi-variational inequalities with nonlinear source terms",
abstract = "In this paper we derive L∞-error estimates of a piecewise linear approximation method for a class of elliptic quasi-variational inequalities (QVIs) with nonlinear source terms. Our approach stands on a discrete L∞-stability property with respect to the right-hand side in linear elliptic (QVIs).",
keywords = "Discrete stability, Error estimates, Finite elements, Fixed point, Quasi-variational inequalities, Variational inequalities",
author = "Messaoud Boulbrachene",
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AB - In this paper we derive L∞-error estimates of a piecewise linear approximation method for a class of elliptic quasi-variational inequalities (QVIs) with nonlinear source terms. Our approach stands on a discrete L∞-stability property with respect to the right-hand side in linear elliptic (QVIs).

KW - Discrete stability

KW - Error estimates

KW - Finite elements

KW - Fixed point

KW - Quasi-variational inequalities

KW - Variational inequalities

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