An additive analysis of multiplicative Schwarz methods

被引:3
|
作者
Brenner, Susanne C. [1 ,2 ]
机构
[1] Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA
[2] Louisiana State Univ, Ctr Computat & Technol, Baton Rouge, LA 70803 USA
基金
美国国家科学基金会;
关键词
SUBSPACE CORRECTIONS; ITERATIVE METHODS; DECOMPOSITION; PROJECTIONS; CONVERGENCE; SPACE;
D O I
10.1007/s00211-012-0479-3
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We present an analysis of multiplicative Schwarz methods for symmetric positive definite problems that is based on the theory of additive Schwarz preconditioners and discuss applications to multigrid methods and domain decomposition methods.
引用
收藏
页码:1 / 19
页数:19
相关论文
共 50 条
  • [31] THE COMPARISON THEOREMS OF WEIGHTED ADDITIVE SCHWARZ METHODS
    Chen Zhuorong Li WenDeptof MathSouth China Normal UniversityGuangzhou PRC
    NumericalMathematicsAJournalofChineseUniversities(EnglishSeries), 2000, (EnglishSeries) : 103 - 104
  • [32] Multiplicative Schwarz methods for discontinuous Galerkin approximations of elliptic problems
    Antonietti, Paola F.
    Ayuso, Blanca
    ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2008, 42 (03): : 443 - 469
  • [33] On the Convergence of the Damped Additive Schwarz Methods and the Subdomain Coloring
    Badea, Lori
    MATHEMATICAL AND COMPUTATIONAL APPLICATIONS, 2022, 27 (04)
  • [34] Additive and restricted additive Schwarz–Richardson methods for inequalities with nonlinear monotone operators
    Lori Badea
    Computational Optimization and Applications, 2019, 74 : 345 - 385
  • [35] Convergence analysis of additive Schwarz for the Euler equations
    Dolean, V
    Lanteri, S
    Nataf, F
    APPLIED NUMERICAL MATHEMATICS, 2004, 49 (02) : 153 - 186
  • [36] A local Fourier analysis for additive Schwarz smoothers
    de la Riva, Alvaro Pe
    Rodrigo, Carmen
    Gaspar, Francisco J.
    Adler, James H.
    Hu, Xiaozhe
    Zikatanov, Ludmil
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2024, 158 : 13 - 20
  • [37] ANALYSIS OF THE MULTIPLICATIVE SCHWARZ METHOD FOR MATRICES WITH A SPECIAL BLOCK STRUCTURE
    Echeverria, Carlos
    Liesen, Joerg
    Tichy, Petr
    ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS, 2021, 54 : 31 - 50
  • [38] Estimating multiplicative and additive hazard functions by kernel methods
    Linton, OB
    Nielsen, JP
    Van de Geer, S
    ANNALS OF STATISTICS, 2003, 31 (02): : 464 - 492
  • [39] CONVERGENCE ANALYSIS FOR THE MULTIPLICATIVE SCHWARZ PRECONDITIONED INEXACT NEWTON ALGORITHM
    Liu, Lulu
    Keyes, David E.
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 2016, 54 (05) : 3145 - 3166
  • [40] Accelerated Additive Schwarz Methods for Convex Optimization with Adaptive Restart
    Jongho Park
    Journal of Scientific Computing, 2021, 89