A Note on the Eigenvalue Analysis of the SIMPLE Preconditioning for Incompressible Flow
Joint Authors
Chen, Feng
Niu, Xiao-Qi
Wu, Shi-Liang
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-03-18
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We consider the SIMPLE preconditioning for block two-by-two generalized saddle point problems; this is the general nonsymmetric, nonsingular case wherethe (1,2) block needs not to equal the transposed (2,1) block, and the (2,2) block may notbe zero.
The eigenvalue analysis of the SIMPLE preconditioned matrix is presented.
The relationship between the two different formulations spectrum of the SIMPLE preconditioned matrix is established by using the theory of matrix eigenvalue, and some corresponding results in recent article by Li and Vuik (2004) are extended.
American Psychological Association (APA)
Wu, Shi-Liang& Chen, Feng& Niu, Xiao-Qi. 2012. A Note on the Eigenvalue Analysis of the SIMPLE Preconditioning for Incompressible Flow. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-7.
https://search.emarefa.net/detail/BIM-1028931
Modern Language Association (MLA)
Wu, Shi-Liang…[et al.]. A Note on the Eigenvalue Analysis of the SIMPLE Preconditioning for Incompressible Flow. Journal of Applied Mathematics No. 2012 (2012), pp.1-7.
https://search.emarefa.net/detail/BIM-1028931
American Medical Association (AMA)
Wu, Shi-Liang& Chen, Feng& Niu, Xiao-Qi. A Note on the Eigenvalue Analysis of the SIMPLE Preconditioning for Incompressible Flow. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-7.
https://search.emarefa.net/detail/BIM-1028931
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1028931