Optimal L-error estimate for a system of elliptic quasi-variational inequalities with noncoercive operators

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

This paper deals with the standard finite element approximation of a noncoercive system of quasi-variational inequalities (QVIs) arising in stochastic control problems. We improve a result obtained in Boulbrachene (Comput. Math. Appl. 45, 983–989, 2003) and establish the optimal L convergence order making use of the concepts of subsolutions and discrete regularity.

Original languageEnglish
Title of host publicationSpringer Proceedings in Mathematics and Statistics
PublisherSpringer New York LLC
Pages89-96
Number of pages8
Volume87
ISBN (Print)9783319069227
DOIs
Publication statusPublished - 2014
EventGulf International Conference on Applied Mathematics, GICAM 2013 - Kuwait, Kuwait
Duration: Nov 19 2013Nov 21 2013

Other

OtherGulf International Conference on Applied Mathematics, GICAM 2013
CountryKuwait
CityKuwait
Period11/19/1311/21/13

Fingerprint

Subsolution
Quasi-variational Inequalities
Convergence Order
Stochastic Control
Finite Element Approximation
Error Estimates
Control Problem
Regularity
Operator
Standards
Concepts

Keywords

  • Discrete regularity
  • Finite elements
  • L<sup>∞</sup>-error estimate
  • Subsolution
  • System of quasi-variational inequalities

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Optimal L-error estimate for a system of elliptic quasi-variational inequalities with noncoercive operators. / Boulbrachene, M.

Springer Proceedings in Mathematics and Statistics. Vol. 87 Springer New York LLC, 2014. p. 89-96.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Boulbrachene, M 2014, Optimal L-error estimate for a system of elliptic quasi-variational inequalities with noncoercive operators. in Springer Proceedings in Mathematics and Statistics. vol. 87, Springer New York LLC, pp. 89-96, Gulf International Conference on Applied Mathematics, GICAM 2013, Kuwait, Kuwait, 11/19/13. https://doi.org/10.1007/978-3-319-06923-4_8
Boulbrachene, M. / Optimal L-error estimate for a system of elliptic quasi-variational inequalities with noncoercive operators. Springer Proceedings in Mathematics and Statistics. Vol. 87 Springer New York LLC, 2014. pp. 89-96
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