The finite element approximation in parabolic quasi-variational inequalities related to impulse control problem with mixed boundary conditions

被引：5

作者：

Boulaaras, Salah ^{[1
]}

Haiour, Mohamed ^{[2
]}

机构：

[1] Univ Sci & Technol Mohamed Boudiaf, Fac Sci, Dept Math, Box 1505, Oran 31000, Algeria

[2] Univ Annaba, Fac Sci, Dept Math, Annaba 23000, Algeria

来源：

JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE | 2013年 / 7卷 / 03期

关键词：

PQVI; Impulse control problem; L8-Stability analysis; Asymptotic behavior;

D O I：

10.1016/j.jtusci.2013.05.005

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

This paper is an extension for our previous results [3-5], and it deals with the finite element approximation of a parabolic quasivariational inequalities with mixed boundary conditions. A quasi-optimal L infinity-error estimate is established using a new discrete algorithm stands in theta time scheme combined with a finite element spatial approximation. Our approach stands on a discrete L infinity-stability property with respect to the right-hand side where the obstacle defined as an impulse control problem. (C) 2013 Taibah University. Production and hosting by Elsevier B.V. All rights reserved.

引用

页码：105 / 113

页数：9

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