Optimal error estimates of a class of system of two quasi-variational inequalities

In the present paper, the finite element approximation of a class of system of two quasi-variational inequalities with terms sources and obstacles depending on solution is analyzed. An optimal L∞-error estimate is derived, combining a modified algorithm of Bensoussan-Lions type and standard uniform...

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Bibliographic Details
Published inAIMS mathematics Vol. 6; no. 6; pp. 5977 - 6001
Main Authors Harbi, Abida, Nemis, Nasreddine, Haiour, Mohamed
Format Journal Article
LanguageEnglish
Published AIMS Press 2021
Subjects
elliptic variational inequalities
finite element
iterative scheme
l∞-error estimate
system of quasi-variational inequalities with nonlinear source terms
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Summary:In the present paper, the finite element approximation of a class of system of two quasi-variational inequalities with terms sources and obstacles depending on solution is analyzed. An optimal L∞-error estimate is derived, combining a modified algorithm of Bensoussan-Lions type and standard uniform error estimates known for elliptic variational inequalities (VIs).
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2021353