Asymptotic behavior and a posteriori error estimates for the generalized overlapping domain decomposition method for parabolic equation

Boundary value problems

Salah Boulaaras¹  Mohamed Haiour²  Khaled Habita³ 

[1] Department of Mathematics, College of Science and Arts, Al-Qassim University, Al-Ras, Kingdom of Saudi Arabia;Department of Mathematics, Faculty of Sciences, Annaba University, Annaba, Algeria;Laboratory of Fundamental and Applied Mathematics, Oran University 1, Oran, Algeria

关键词: a posteriori error estimates;    GODDM;    Robin condition;    PE;   

DOI  :  10.1186/s13661-015-0398-1

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, a posteriori error estimates for the generalized overlapping domain decomposition method with Dirichlet boundary conditions on the interfaces, for parabolic variational equation with second order boundary value problems, are derived using the semi-implicit-time scheme combined with a finite element spatial approximation. Furthermore a result of asymptotic behavior in uniform norm is given using Benssoussan-Lions’ algorithm.

【 授权许可】

CC BY