A General Case for the Maximum Norm Analysis of an Overlapping Schwarz Methods of Evolutionary HJB Equation with Nonlinear Source Terms with the Mixed Boundary Conditions

Authors

Salah Boulaaras, Department of Mathematics, Colleague of Science and Arts, Al-Ras, Al-Qassim University, Kingdom Of Saudi Arabia\\ Laboratory of Fundamental and Applied Mathematics, As-Sania University, Oran, AlgeriaFollow
Mohamed Haiour, Department of Mathematics, Faculty of Science, University of Annaba, Box. 12, Annaba 23000. AlgeriaFollow

Author Country (or Countries)

Algeria

Abstract

In this paper we provide a maximum norm analysis of an overlapping Schwarz method on non-matching grids for evolutionary HJB equation with nonlinear source terms with the mixed boundary conditions and a general elliptic operator. Moreover, an asymptotic behavior in uniform norm is established.

Recommended Citation

Boulaaras, Salah and Haiour, Mohamed (2015) "A General Case for the Maximum Norm Analysis of an Overlapping Schwarz Methods of Evolutionary HJB Equation with Nonlinear Source Terms with the Mixed Boundary Conditions," Applied Mathematics & Information Sciences: Vol. 09: Iss. 3, Article 18.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss3/18