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

Messaoud Boulbrachene

doi:10.1016/j.amc.2003.12.015

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

Messaoud Boulbrachene^*

^*Corresponding author for this work

Mathematics

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

10 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 language	English
Pages (from-to)	129-138
Number of pages	10
Journal	Applied Mathematics and Computation
Volume	161
Issue number	1
DOIs	https://doi.org/10.1016/j.amc.2003.12.015
Publication status	Published - Feb 4 2005

Keywords

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

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/j.amc.2003.12.015

Cite this

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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).",

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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).

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KW - Error estimates

KW - Finite elements

KW - Fixed point

KW - Quasi-variational inequalities

KW - Variational inequalities

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JO - Applied Mathematics and Computation

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ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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