Additive Schwarz methods for parabolic problems

被引:7
|
作者
Yang, JH [1 ]
Yang, DP [1 ]
机构
[1] Shandong Univ, Sch Math & Syst Sci, Jinan 250100, Peoples R China
关键词
domain decomposition; additive Schwarz method; parabolic problems; error estimate; convergence rate;
D O I
10.1016/j.amc.2004.03.025
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Based on domain decomposition. we give an additive Schwarz domain decomposition method for semi-linear parabolic problems. We consider the dependence of convergence rate of this algorithm on parameters of time step and space-mesh. We give the error estimate, which tell us that the convergence of the approximate solution is independent of the iteration number at each time level. (C) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码:17 / 28
页数:12
相关论文
共 50 条
  • [1] Additive Schwarz algorithms for parabolic problems
    Qiang, Jing
    APPLIED MATHEMATICS AND COMPUTATION, 2009, 208 (02) : 531 - 541
  • [2] Multiplicative Schwarz methods for parabolic problems
    Rui, Hongxing
    Applied Mathematics and Computation (New York), 2003, 136 (2-3): : 593 - 610
  • [3] Multiplicative Schwarz methods for parabolic problems
    Rui, HX
    APPLIED MATHEMATICS AND COMPUTATION, 2003, 136 (2-3) : 593 - 610
  • [4] MULTIPLICATIVE SCHWARZ METHODS FOR PARABOLIC PROBLEMS
    CAI, XC
    SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1994, 15 (03): : 587 - 603
  • [5] MULTILEVEL SPACE-TIME ADDITIVE SCHWARZ METHODS FOR PARABOLIC EQUATIONS
    Li, Shishun
    Shao, Xinping
    Cai, Xiao-Chuan
    SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2018, 40 (05): : A3012 - A3037
  • [6] OPTIMIZED SCHWARZ METHODS WITH ROBIN TRANSMISSION CONDITIONS FOR PARABOLIC PROBLEMS
    Qin, Lizhen
    Xu, Xuejun
    SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2008, 31 (01): : 608 - 623
  • [7] AN OVERLAPPING ADDITIVE SCHWARZ-RICHARDSON METHOD FOR MONOTONE NONLINEAR PARABOLIC PROBLEMS
    Munteanu, M.
    Pavarino, L. F.
    ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS, 2008, 30 : 359 - 376
  • [8] An overlapping Additive Schwarz-richardson method for monotone nonlinear parabolic problems
    Munteanu, M.
    Pavarino, L.F.
    Electronic Transactions on Numerical Analysis, 2008, 30 : 359 - 376
  • [9] A Parallel Algorithm Based on Additive Schwarz Domain Decomposition Method for Parabolic Problems
    Qiang, Jing
    HPCC 2008: 10TH IEEE INTERNATIONAL CONFERENCE ON HIGH PERFORMANCE COMPUTING AND COMMUNICATIONS, PROCEEDINGS, 2008, : 903 - 906
  • [10] Additive Schwarz Methods for Elliptic Mortar Finite Element Problems
    Petter E. Bjørstad
    Maksymilian Dryja
    Talal Rahman
    Numerische Mathematik, 2003, 95 : 427 - 457