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

来源：

NUMERISCHE MATHEMATIK | 2013年 / 123卷 / 01期

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

页码：1 / 19

页数：19

共 50 条

[11] Multiplicative Schwarz methods for parabolic problems
Rui, Hongxing
Applied Mathematics and Computation (New York), 2003, 136 (2-3): : 593 - 610
[12] Multiplicative Schwarz methods for parabolic problems
Rui, HX
APPLIED MATHEMATICS AND COMPUTATION, 2003, 136 (2-3) : 593 - 610
[13] MULTIPLICATIVE SCHWARZ METHODS FOR PARABOLIC PROBLEMS
CAI, XC
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1994, 15 (03): : 587 - 603
[14] Algebraic theory of multiplicative Schwarz methods
Benzi, M
Frommer, A
Nabben, R
Szyld, DB
NUMERISCHE MATHEMATIK, 2001, 89 (04) : 605 - 639
[15] Convergence theory of restricted multiplicative Schwarz methods
Nabben, R
Szyld, DB
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2003, 40 (06) : 2318 - 2336
[16] Overlapping additive and multiplicative Schwarz iterations for H-matrices
Bru, R
Pedroche, F
Szyld, DB
LINEAR ALGEBRA AND ITS APPLICATIONS, 2004, 393 : 91 - 105
[17] ON THE RELATION BETWEEN THE CONVERGENCE FACTORS OF ADDITIVE AND MULTIPLICATIVE SCHWARZ METHOD
ZHANG, S
CHINESE SCIENCE BULLETIN, 1993, 38 (12): : 978 - 981
[18] On the Relation Between the Convergence Factors of Additive and Multiplicative Schwarz Method
张胜
Chinese Science Bulletin, 1993, (12) : 978 - 981
[19] Additive Schwarz methods for parabolic problems
Yang, JH
Yang, DP
APPLIED MATHEMATICS AND COMPUTATION, 2005, 163 (01) : 17 - 28
[20] ADDITIVE SCHWARZ METHODS FOR SERENDIPITY ELEMENTS
Marchena-Menendez, Jorge
Kirby, Robert C.
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2023, 45 (03): : S401 - S420

← 1 2 3 4 5 →