Optimal L∞-error estimate for the semilinear impulse control quasi-variational inequality

Messaoud Boulbrachene

doi:10.1002/mma.7605

Optimal L^∞-error estimate for the semilinear impulse control quasi-variational inequality

Messaoud Boulbrachene^*

^*Corresponding author for this work

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

Abstract

In this paper, we introduce a new method for the standard finite element approximation in the L^∞-norm of the semilinear quasi-variational inequality (QVI) arising in impulse control theory. We derive the optimal L^∞-error estimate by means of the concept of subsolutions for QVIs.

Original language	English
Journal	Mathematical Methods in the Applied Sciences
DOIs	https://doi.org/10.1002/mma.7605
Publication status	Accepted/In press - 2021
Externally published	Yes

Keywords

finite element
quasi-variational inequalities

ASJC Scopus subject areas

Mathematics(all)
Engineering(all)

Access to Document

10.1002/mma.7605

Cite this

@article{9b41a0d26b7b441aaad8e88f8c918879,

title = "Optimal L∞-error estimate for the semilinear impulse control quasi-variational inequality",

abstract = "In this paper, we introduce a new method for the standard finite element approximation in the L∞-norm of the semilinear quasi-variational inequality (QVI) arising in impulse control theory. We derive the optimal L∞-error estimate by means of the concept of subsolutions for QVIs.",

keywords = "finite element, quasi-variational inequalities",

author = "Messaoud Boulbrachene",

note = "Publisher Copyright: {\textcopyright} 2021 John Wiley & Sons, Ltd.",

year = "2021",

doi = "10.1002/mma.7605",

language = "English",

journal = "Mathematical Methods in the Applied Sciences",

issn = "0170-4214",

publisher = "John Wiley and Sons Ltd",

}

TY - JOUR

T1 - Optimal L∞-error estimate for the semilinear impulse control quasi-variational inequality

AU - Boulbrachene, Messaoud

PY - 2021

Y1 - 2021

N2 - In this paper, we introduce a new method for the standard finite element approximation in the L∞-norm of the semilinear quasi-variational inequality (QVI) arising in impulse control theory. We derive the optimal L∞-error estimate by means of the concept of subsolutions for QVIs.

AB - In this paper, we introduce a new method for the standard finite element approximation in the L∞-norm of the semilinear quasi-variational inequality (QVI) arising in impulse control theory. We derive the optimal L∞-error estimate by means of the concept of subsolutions for QVIs.

KW - finite element

KW - quasi-variational inequalities

UR - http://www.scopus.com/inward/record.url?scp=85108296113&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85108296113&partnerID=8YFLogxK

U2 - 10.1002/mma.7605

DO - 10.1002/mma.7605

M3 - Article

AN - SCOPUS:85108296113

SN - 0170-4214

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

ER -