The maximum norm analysis of an overlapping Schwarz method for parabolic quasi-variational inequalities related to impulse control problem with the mixed boundary conditions

Authors

Salah Boulaaras, Department of Mathematics, Faculty of Science, University of Mohamed Boudhiaf USTO, Box. 1505 , Oran, Algeria 31000Follow
Mohamed Haiour

Author Country (or Countries)

Algeria 31000

Abstract

In this paper we provide a maximum norm analysis of an overlapping Schwarz method on non-matching grids for parabolic quasi-variational inequalities related to impulse control problem with the mixed boundary conditions. The parabolic quasi-variational inequalities are transformed into elliptic coercive quasi variational inequalities. Than we provide that the discretization on every sub-domain converges in uniform norm. Furthermore a result of asymptotic behavior in uniform norm is given.

Suggested Reviewers

N/A

Recommended Citation

Boulaaras, Salah and Haiour, Mohamed (2013) "The maximum norm analysis of an overlapping Schwarz method for parabolic quasi-variational inequalities related to impulse control problem with the mixed boundary conditions," Applied Mathematics & Information Sciences: Vol. 07: Iss. 1, Article 43.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol07/iss1/43