A two-level additive Schwarz method for a kind of tensor complementarity problem

被引：5
|
作者：
Xie, Shui-Lian [1 ]
Xu, Hong-Ru [1 ]
机构：
[1] Jiaying Univ, Sch Math, Meizhou 514015, Peoples R China
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2020年 / 584卷
关键词：
Tensor complementarity problem; Z-tensor; Two-level; Convergence; ITERATION METHODS; CONVERGENCE;
D O I：
10.1016/j.laa.2019.09.025
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present a two-level additive Schwarz method for a kind of tensor complementarity problem (TCP). The method is proved to be convergent monotonically and can reach the solution within finite steps. We report some preliminary numerical results to test the efficiency of the proposed method. (C) 2019 Elsevier Inc. All rights reserved.
引用
收藏
页码：394 / 408
页数：15
相关论文
共 50 条
  • [41] A two-level nonoverlapping Schwarz algorithm for the Stokes problem without primal pressure unknowns
    Kim, Hyea Hyun
    Lee, Chang-Ock
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2011, 88 (13) : 1390 - 1410
  • [42] Overlapping restricted additive Schwarz method with damping factor for H-matrix linear complementarity problem
    Zhang, Li-Tao
    Gu, Tong-Xiang
    Liu, Xing-Ping
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 271 : 1 - 10
  • [43] A two-level Schwarz method for a finite element approximation of a nonlinear biharmonic equation
    Xu, XJ
    Lui, SH
    APPLIED MATHEMATICS AND COMPUTATION, 2003, 145 (2-3) : 683 - 700
  • [44] A black-box iterative solver based on a two-level Schwarz method
    Brezina, M
    Vanek, P
    COMPUTING, 1999, 63 (03) : 233 - 263
  • [45] A Black-Box Iterative Solver Based on a Two-Level Schwarz Method
    M. Brezina
    P. Vaněk
    Computing, 1999, 63 : 233 - 263
  • [46] Two-level Schwarz method for solving variational inequality with nonlinear source terms
    Li, Chen-Liang
    Zeng, Jin-ping
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 211 (01) : 67 - 75
  • [47] Versatile Two-Level Schwarz Preconditioners for Multiphase Flow
    C.E. Kees
    C.T. Miller
    E.W. Jenkins
    C.T. Kelley
    Computational Geosciences, 2003, 7 : 91 - 114
  • [48] Versatile two-level Schwarz preconditioners for multiphase flow
    Kees, CE
    Miller, CT
    Jenkins, EW
    Kelley, CT
    COMPUTATIONAL GEOSCIENCES, 2003, 7 (02) : 91 - 114
  • [49] Convergence Behavior of a Two-Level Optimized Schwarz Preconditioner
    Dubois, Olivier
    Gander, Martin J.
    DOMAIN DECOMPOSITION METHODS IN SCIENCE AND ENGINEERING XVIII, 2009, 70 : 177 - 184
  • [50] ADDITIVE AND HYBRID NONLINEAR TWO-LEVEL SCHWARZ METHODS AND ENERGY MINIMIZING COARSE SPACES FOR UNSTRUCTURED GRIDS
    Heinlein, Alexander
    Lanser, Martin
    SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2020, 42 (04): : A2461 - A2488
12345