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

[1] An additive analysis of multiplicative Schwarz methods
Susanne C. Brenner
Numerische Mathematik, 2013, 123 : 1 - 19
[2] Newton additive and multiplicative Schwarz iterative methods
Arnal, Josep
Migallon, Violeta
Penades, Jose
Szyld, Daniel B.
IMA JOURNAL OF NUMERICAL ANALYSIS, 2008, 28 (01) : 143 - 161
[3] Comparisons between multiplicative and additive Schwarz iterations in domain decomposition methods
Reinhard Nabben
Numerische Mathematik, 2003, 95 : 145 - 162
[4] Comparisons between multiplicative and additive Schwarz iterations in domain decomposition methods
Nabben, R
NUMERISCHE MATHEMATIK, 2003, 95 (01) : 145 - 162
[5] Matrix analysis to additive Schwarz methods
Sun, JC
Chan, TF
JOURNAL OF COMPUTATIONAL MATHEMATICS, 1995, 13 (04) : 325 - 336
[6] MATRIX ANALYSIS TO ADDITIVE SCHWARZ METHODS
J.C. Sun(Computing Center
JournalofComputationalMathematics, 1995, (04) : 325 - 336
[7] Optimized multiplicative, additive, and restricted additive Schwarz preconditioning
St-Cyr, A.
Gander, M. J.
Thomas, S. J.
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2007, 29 (06): : 2402 - 2425
[8] ON THE ABSTRACT THEORY OF ADDITIVE AND MULTIPLICATIVE SCHWARZ ALGORITHMS
GRIEBEL, M
OSWALD, P
NUMERISCHE MATHEMATIK, 1995, 70 (02) : 163 - 180
[9] From additive average schwarz methods to nonoverlapping spectral additive schwarz methods
Yu Y.
Dryja M.
Sarkis M.
SIAM Journal on Numerical Analysis, 2021, 59 (05) : 260 - 2638
[10] Algebraic theory of multiplicative Schwarz methods
Michele Benzi
Andreas Frommer
Reinhard Nabben
Daniel B. Szyld
Numerische Mathematik, 2001, 89 : 605 - 639

← 1 2 3 4 5 →