A new Uzawa method for fourth-order block saddle point problems

被引：4
|
作者：
Shen, Hai-Long [1 ]
Nie, Peng-Fei [1 ]
Shao, Xin-Hui [1 ]
Li, Chang-Jun [1 ]
机构：
[1] Northeastern Univ, Dept Math, Coll Sci, Shenyang, Liaoning, Peoples R China
来源：
COMPUTATIONAL & APPLIED MATHEMATICS | 2018年 / 37卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Uzawa method; SOR method; Saddle point problem; Convergence; Effectiveness; SYMMETRIC SOR METHOD; AUGMENTED SYSTEMS;
D O I：
10.1007/s40314-018-0623-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we first propose a new Uzawa-SOR method for fourth-order block saddle point problems. Then we study its convergence conditions through some lemmas and theorems. Finally, the numerical results are presented to prove the 4-USOR method we proposed has less workload per iteration and higher accuracy for large linear system than the other Uzawa-type methods for solving the fourth-order block saddle point problem, which shows the effectiveness and feasibility of our method.
引用
收藏
页码：5175 / 5186
页数：12
相关论文
共 50 条
  • [41] A New Uzawa-Type Iteration Method for Non-Hermitian Saddle-Point Problems
    Dou, Yan
    Yang, Ai-Li
    Wu, Yu-Jiang
    EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2017, 7 (01) : 211 - 226
  • [42] Fourth-order compact finite difference method for fourth-order nonlinear elliptic boundary value problems
    Wang, Yuan-Ming
    Guo, Ben-Yu
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 221 (01) : 76 - 97
  • [43] On some two-point problems for a fourth-order equation
    Yu. A. Klokov
    Differential Equations, 2013, 49 : 1465 - 1468
  • [44] On Some Two-Point Problems for a Fourth-Order Equation
    Klokov, Yu. A.
    DIFFERENTIAL EQUATIONS, 2013, 49 (11) : 1465 - 1468
  • [45] Adaptive Wavelet Method for Fourth-Order Elliptic Problems
    Cerna, Dana
    Finek, Vaclav
    NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS A-C, 2011, 1389
  • [46] An efficient method for fourth-order boundary value problems
    Noor, Muhammad Aslam
    Mohyud-Din, Syed Tauseef
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2007, 54 (7-8) : 1101 - 1111
  • [47] Modified accelerated parameterized inexact Uzawa method for singular and nonsingular saddle point problems
    Li, Xu
    Wu, Yu-Jiang
    Yang, Ai-Li
    Yuan, Jin-Yun
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 244 : 552 - 560
  • [48] SEMI-CONVERGENCE ANALYSIS OF THE INEXACT UZAWA METHOD FOR SINGULAR SADDLE POINT PROBLEMS
    Li, Jian-Lei
    Huang, Ting-Zhu
    REVISTA DE LA UNION MATEMATICA ARGENTINA, 2012, 53 (01): : 61 - 70
  • [49] SEMI-CONVERGENCE OF THE PARAMETERIZED INEXACT UZAWA METHOD FOR SINGULAR SADDLE POINT PROBLEMS
    Yun, Jae Heon
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2015, 52 (05) : 1669 - 1681
  • [50] Multilevel Gradient Uzawa Algorithms for Symmetric Saddle Point Problems
    Bacuta, Constantin
    Shu, Lu
    JOURNAL OF SCIENTIFIC COMPUTING, 2013, 57 (01) : 105 - 123
12345