Two-level Schwarz method for solving variational inequality with nonlinear source terms

被引:5
|
作者
Li, Chen-Liang [1 ,2 ]
Zeng, Jin-ping [3 ]
机构
[1] Guilin Univ Elect Technol, Coll Computat Sci & Math, Guilin 541004, Guangxi, Peoples R China
[2] Hunan Normal Univ, Coll Math & Comp Sci, Changsha 410081, Hunan, Peoples R China
[3] Hunan Univ, Dept Appl Math, Changsha 410082, Peoples R China
基金
中国国家自然科学基金;
关键词
variational inequality; nonlinear source term; two-level Schwarz method;
D O I
10.1016/j.cam.2006.11.033
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we extend the two-level Schwarz method to solve the variational inequality problems with nonlinear source terms, and establish a convergence theorem. The method converges within finite steps with an appropriate initial point. The numerical results show that the methods are efficient. (C) 2007 Published by Elsevier B.V.
引用
收藏
页码:67 / 75
页数:9
相关论文
共 50 条
  • [41] Two-level method for the discretization of nonlinear boundary value problems
    Axelsson, O
    Layton, W
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 1996, 33 (06) : 2359 - 2374
  • [42] Two-Level Newton's Method for Nonlinear Elliptic PDEs
    He, Yinnian
    Zhang, Yan
    Xu, Hui
    JOURNAL OF SCIENTIFIC COMPUTING, 2013, 57 (01) : 124 - 145
  • [43] Two-Level Newton’s Method for Nonlinear Elliptic PDEs
    Yinnian He
    Yan Zhang
    Hui Xu
    Journal of Scientific Computing, 2013, 57 : 124 - 145
  • [44] A new error estimate on uniform norm of Schwarz algorithm for elliptic quasi-variational inequalities with nonlinear source terms
    Mehri, Allaoua
    Saadi, Samira
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [45] A new error estimate on uniform norm of Schwarz algorithm for elliptic quasi-variational inequalities with nonlinear source terms
    Allaoua Mehri
    Samira Saadi
    Journal of Inequalities and Applications, 2018
  • [46] Variational study on a dissipative two-level system
    Zhu Wei-Ting
    Ren Qing-Bao
    Chen Qing-Hu
    CHINESE PHYSICS LETTERS, 2008, 25 (09) : 3129 - 3131
  • [47] Two-level Schwarz Methods for Hybridizable Discontinuous Galerkin Methods
    Peipei Lu
    Andreas Rupp
    Guido Kanschat
    Journal of Scientific Computing, 2023, 95
  • [48] A two-level additive Schwarz preconditioner for nonconforming plate elements
    Brenner, SC
    NUMERISCHE MATHEMATIK, 1996, 72 (04) : 419 - 447
  • [49] Two-level iterative method for non-stationary mixed variational inequalities
    Konnov I.V.
    Salahuddin
    Russian Mathematics, 2017, 61 (10) : 44 - 53
  • [50] TWO-LEVEL ITERATION PENALTY AND VARIATIONAL MULTISCALE METHOD FOR STEADY INCOMPRESSIBLE FLOWS
    Zhang, Yuqing
    Li, Yuan
    An, Rong
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2016, 6 (03): : 607 - 627