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

Messaoud Boulbrachene

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

Mathematics & Statistics

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
Publication status	Published - 2021

Cite this

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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 bymeans of the concept of subsolutions for QVIs.",

author = "Messaoud Boulbrachene",

year = "2021",

language = "English",

journal = "Mathematical Methods in the Applied Sciences",

issn = "0170-4214",

publisher = "John Wiley and Sons Ltd",

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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 bymeans 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 bymeans of the concept of subsolutions for QVIs.

M3 - Article

SN - 0170-4214

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

ER -