RATE OF CONVERGENCE OF SCHWARZ ALTERNATING METHOD FOR TIME-DEPENDENT CONVECTION-DIFFUSION PROBLEM

被引：0
|
作者：
Jian-wei Hu(School of Mathematical Sciences
机构：
来源：
Journal of Computational Mathematics | 2002年 / 05期
关键词：
Rate of convergence; Schwarz alternating method; Convection-diffusion problem;
D O I：
暂无
中图分类号：
O241.8 [微分方程、积分方程的数值解法];
学科分类号：
070102 ;
摘要：
This paper provides a theoretical justification to a overlapping domain decomposition method applied to the solution of time-dependent convection-diffusion problems. The method is based on the partial upwind finite element scheme and the discrete strong maximum principle for steady problem. An error estimate in L∞(0, T; L∞ (Ω)) is obtained and the fact that convergence factor ρ(τ, h) →0 exponentially as τ, h→0 is also proved under some usual conditions.
引用
收藏
页码：479 / 490
页数：12
相关论文
共 50 条
  • [1] Rate of convergence of Schwarz alternating method for time-dependent convection-diffusion problem
    Hu, JW
    Wang, CH
    [J]. JOURNAL OF COMPUTATIONAL MATHEMATICS, 2002, 20 (05) : 479 - 490
  • [2] Schwarz alternating algorithms for a convection-diffusion problem
    Boglaev, I
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2005, 165 (03) : 647 - 668
  • [3] Convergence Analysis of a Coupled Method for Time-Dependent Convection-Diffusion Equations
    Riviere, Beatrice
    Yang, Xin
    [J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2014, 30 (01) : 133 - 157
  • [4] A parallel Schwarz method for a convection-diffusion problem
    Garbey, M
    Kuznetsov, YA
    Vassilevski, YV
    [J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2000, 22 (03): : 891 - 916
  • [5] Parallel characteristic finite element method for time-dependent convection-diffusion problem
    Zhang, Jiansong
    Yang, Danping
    Fu, Hongfei
    Guo, Hui
    [J]. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2011, 18 (04) : 695 - 705
  • [6] An additive Schwarz method for a stationary convection-diffusion problem
    Ghahreman, N.
    Kerayechian, A.
    [J]. Korean Journal of Computational and Applied Mathematics, 2001, 8 (03): : 571 - 585
  • [7] An additive Schwarz method for a stationary convection-diffusion problem
    N. Ghahreman
    A. Kerayechian
    [J]. Korean Journal of Computational and Applied Mathematics, 2001, 8 (3): : 571 - 585
  • [8] An additive Schwarz method for a stationary convection-diffusion problem
    Ghahreman, N.
    Kerayechian, A.
    [J]. Journal of Applied Mathematics and Computing, 2001, 8 (03) : 571 - 585
  • [9] A stable explicit method for time-dependent convection-diffusion problems
    Ruas, V.
    Brasil, A. C. P., Jr.
    [J]. NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, 2007, 936 : 480 - +
  • [10] A FINITE-ELEMENT METHOD FOR TIME-DEPENDENT CONVECTION-DIFFUSION EQUATIONS
    RICHTER, GR
    [J]. MATHEMATICS OF COMPUTATION, 1990, 54 (189) : 81 - 106
12345