AN ASYMPTOTIC BEHAVIOR AND A POSTERIORI ERROR ESTIMATES FOR THE GENERALIZED SCHWARTZ METHOD OF ADVECTION-DIFFUSION EQUATION  

作　　者：Salah BOULAARAS Mohammed Said TOUATI BRAHIM Smail BOUZENADA Abderrahmane ZARAI 

机构地区：[1]Department of Mathematics, College of Sciences and Arts, Al-Ras, Qassim University, Kingdom of Saudi Arabia [2] Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), University of Oran 1, Ahmed Benbella, Oran, Algeria [3]Department of Mathematics and Computer Science, Larbi Tebessi University, 12002 Tebessa, Algeria

出　　处：《Acta Mathematica Scientia》2018年第4期1227-1244,共18页数学物理学报（B辑英文版）

摘　　要：In this paper, a posteriori error estimates for the generalized Schwartz method with Dirichlet boundary conditions on the interfaces for advection-diffusion equation with second order boundary value problems are proved by using the Euler time scheme combined with Galerkin spatial method. Furthermore, an asymptotic behavior in Sobolev norm is de- duced using Benssoussau-Lions＇ algorithm. Finally, the results of some numerical experiments are presented to support the theory.In this paper, a posteriori error estimates for the generalized Schwartz method with Dirichlet boundary conditions on the interfaces for advection-diffusion equation with second order boundary value problems are proved by using the Euler time scheme combined with Galerkin spatial method. Furthermore, an asymptotic behavior in Sobolev norm is de- duced using Benssoussau-Lions＇ algorithm. Finally, the results of some numerical experiments are presented to support the theory.

关 键 词：a posteriori error estimates GODDM ADVECTION-DIFFUSION Galerkin method Benssoussan-Lions＇ algorithm 

分 类 号：O175[理学—数学]