Author:
Boulaaras Salah,Bahi Mohammed Cherif,Haiour Mohamed,Zarai Abderrahman
Abstract
Motivated by the idea which has been introduced by M. Haiour and S.Boulaaras (Proc. Indian Acad. Sci. (Math. Sci.) Vol. 121,No. 4, November 2011,pp.481--493), We provide a maximum norm analysis of Euler scheme combined with finite element Schwarz alternating method for a class of parabolic equation with nonlinear source terms on two overlapping subdomains with nonmatching grids. We consider a domain which is the union of two overlapping subdomains where each subdomain has its own independently generated grid. The two meshes being mutually independent on the overlap region, a triangle belonging to one triangulation does not necessarily belong to the other one. Under a stability analysis on the theta scheme which given by our work in (App. Math. Comp., 217, 6443--6450 (2011).), we establish, on each subdomain, an optimal asymptotic behavior between the discrete Schwarz sequence and the asymptotic solution of parabolic differential equations.
Publisher
Sociedade Paranaense de Matematica
Reference26 articles.
1. 1. L. Badea. On the schwarz alternating method with more than two subdomains for monotone problems. SIAM Journal on Numerical Analysis 28 (1991), no. 1, 179-204.
2. 2. A. Bensoussan & J. L. Lions. Controle impulsionnel et Inequations Quasi-variationnelles. Dunod, 1982.
3. L1-asymptotic behavior for a finite element approximation in parabolic quasi-variational inequalities related to impulse control problem;Boulaaras;Appl Math Comput,2011
4. 4. S. Boulaaras, M. Haiour: 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 9(3):1247-1257 • January 2015
5. The finite element approximation of evolutionary Hamilton–Jacobi–Bellman equations with nonlinear source terms;Boulaaras;Indag Math,2013
Cited by
4 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献