L∞-error estimate for a system of elliptic quasivariational inequalities

L∞-error estimate for a system of elliptic quasivariational inequalities

We deal with the numerical analysis of a system of elliptic quasivariational inequalities (QVIs). Under W2,p(Ω)-regularity of the continuous solution, a quasi-optimal L∞-convergence of a piecewise linear finite element method is established, involving a monotone algorithm of Bensoussan-Lions type an...

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Main Authors: M. Boulbrachene, M. Haiour, S. Saadi
Format: Article
Language:English
Published: Hindawi Limited 2003-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S016117120301189X
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spelling doaj-3085ecd3e19e43f4b00cd5b667ee53f32020-11-24T23:07:04ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003241547156110.1155/S016117120301189XL∞-error estimate for a system of elliptic quasivariational inequalitiesM. Boulbrachene0M. Haiour1S. Saadi2Department of Mathematics and Statistics, College of Science, Sultan Qaboos University, P.O. Box 36, Al-Khad, 123, OmanDépartement de Mathématiques, Faculté des Sciences, Université de Annaba, BP 12, Annaba 23000, AlgeriaDépartement de Mathématiques, Faculté des Sciences, Université de Annaba, BP 12, Annaba 23000, AlgeriaWe deal with the numerical analysis of a system of elliptic quasivariational inequalities (QVIs). Under W2,p(Ω)-regularity of the continuous solution, a quasi-optimal L∞-convergence of a piecewise linear finite element method is established, involving a monotone algorithm of Bensoussan-Lions type and standard uniform error estimates known for elliptic variational inequalities (VIs).http://dx.doi.org/10.1155/S016117120301189X
collection DOAJ
language English
format Article
sources DOAJ
author M. Boulbrachene
M. Haiour
S. Saadi
spellingShingle M. Boulbrachene
M. Haiour
S. Saadi
L∞-error estimate for a system of elliptic quasivariational inequalities
International Journal of Mathematics and Mathematical Sciences
author_facet M. Boulbrachene
M. Haiour
S. Saadi
author_sort M. Boulbrachene
title L∞-error estimate for a system of elliptic quasivariational inequalities
title_short L∞-error estimate for a system of elliptic quasivariational inequalities
title_full L∞-error estimate for a system of elliptic quasivariational inequalities
title_fullStr L∞-error estimate for a system of elliptic quasivariational inequalities
title_full_unstemmed L∞-error estimate for a system of elliptic quasivariational inequalities
title_sort l∞-error estimate for a system of elliptic quasivariational inequalities
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2003-01-01
description We deal with the numerical analysis of a system of elliptic quasivariational inequalities (QVIs). Under W2,p(Ω)-regularity of the continuous solution, a quasi-optimal L∞-convergence of a piecewise linear finite element method is established, involving a monotone algorithm of Bensoussan-Lions type and standard uniform error estimates known for elliptic variational inequalities (VIs).
url http://dx.doi.org/10.1155/S016117120301189X
work_keys_str_mv AT mboulbrachene lerrorestimateforasystemofellipticquasivariationalinequalities
AT mhaiour lerrorestimateforasystemofellipticquasivariationalinequalities
AT ssaadi lerrorestimateforasystemofellipticquasivariationalinequalities
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