Uzawa-Low method and preconditioned Uzawa-Low method for three-order block saddle point problem

Ji Cheng Li; Na Na Wang; Xu Kong

doi:10.1016/j.amc.2015.07.107

Uzawa-Low method and preconditioned Uzawa-Low method for three-order block saddle point problem

Ji Cheng Li
, Na Na Wang
, Xu Kong

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

In this paper, Uzawa-Low method for three-order block saddle point problem is presented and the corresponding convergence conditions are established. Furthermore, by introducing a preconditioner, we propose centered preconditioned Uzawa-Low method (CPU-Low method) and obtain its convergence conditions as well. Experimental results show that the two proposed methods are more efficient than Uzawa-Low method for the original saddle point problem and the CPU-Low method is superior to the Uzawa-Low method for three-order block saddle point problem.

Original language	English
Pages (from-to)	626-636
Number of pages	11
Journal	Applied Mathematics and Computation
Volume	269
DOIs	https://doi.org/10.1016/j.amc.2015.07.107
State	Published - 24 Aug 2015

Keywords

Centered preconditioned method
Parameter analysis
Saddle point problem
Three-order block saddle point problem
Uzawa-Low method

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10.1016/j.amc.2015.07.107

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@article{06497e54b91e46b4987972409234eb35,

title = "Uzawa-Low method and preconditioned Uzawa-Low method for three-order block saddle point problem",

abstract = "In this paper, Uzawa-Low method for three-order block saddle point problem is presented and the corresponding convergence conditions are established. Furthermore, by introducing a preconditioner, we propose centered preconditioned Uzawa-Low method (CPU-Low method) and obtain its convergence conditions as well. Experimental results show that the two proposed methods are more efficient than Uzawa-Low method for the original saddle point problem and the CPU-Low method is superior to the Uzawa-Low method for three-order block saddle point problem.",

keywords = "Centered preconditioned method, Parameter analysis, Saddle point problem, Three-order block saddle point problem, Uzawa-Low method",

author = "Li, \{Ji Cheng\} and Wang, \{Na Na\} and Xu Kong",

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year = "2015",

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doi = "10.1016/j.amc.2015.07.107",

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TY - JOUR

T1 - Uzawa-Low method and preconditioned Uzawa-Low method for three-order block saddle point problem

AU - Li, Ji Cheng

AU - Wang, Na Na

AU - Kong, Xu

PY - 2015/8/24

Y1 - 2015/8/24

N2 - In this paper, Uzawa-Low method for three-order block saddle point problem is presented and the corresponding convergence conditions are established. Furthermore, by introducing a preconditioner, we propose centered preconditioned Uzawa-Low method (CPU-Low method) and obtain its convergence conditions as well. Experimental results show that the two proposed methods are more efficient than Uzawa-Low method for the original saddle point problem and the CPU-Low method is superior to the Uzawa-Low method for three-order block saddle point problem.

AB - In this paper, Uzawa-Low method for three-order block saddle point problem is presented and the corresponding convergence conditions are established. Furthermore, by introducing a preconditioner, we propose centered preconditioned Uzawa-Low method (CPU-Low method) and obtain its convergence conditions as well. Experimental results show that the two proposed methods are more efficient than Uzawa-Low method for the original saddle point problem and the CPU-Low method is superior to the Uzawa-Low method for three-order block saddle point problem.

KW - Centered preconditioned method

KW - Parameter analysis

KW - Saddle point problem

KW - Three-order block saddle point problem

KW - Uzawa-Low method

UR - https://www.scopus.com/pages/publications/84939805426

U2 - 10.1016/j.amc.2015.07.107

DO - 10.1016/j.amc.2015.07.107

M3 - 文章

AN - SCOPUS:84939805426

SN - 0096-3003

VL - 269

SP - 626

EP - 636

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

ER -

Uzawa-Low method and preconditioned Uzawa-Low method for three-order block saddle point problem

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Keywords

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