Title
A Note on the Eigenvalue Analysis of the SIMPLE Preconditioning for Incompressible Flow.
Abstract
We consider the SIMPLE preconditioning for block two-by-two generalized saddle point problems; this is the general nonsymmetric, nonsingular case where the (1,2) block needs not to equal the transposed (2,1) block, and the (2,2) block may not be 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.
Year
DOI
Venue
2012
10.1155/2012/564132
JOURNAL OF APPLIED MATHEMATICS
Field
DocType
Volume
Eigenvalue analysis,Mathematical optimization,Saddle point,Mathematical analysis,Matrix (mathematics),Incompressible flow,Invertible matrix,Mathematics,Eigenvalues and eigenvectors
Journal
2012
Issue
ISSN
Citations 
null
1110-757X
1
PageRank 
References 
Authors
0.39
1
3
Name
Order
Citations
PageRank
Shi-liang Wu19015.82
Feng Chen210.39
Xiao-Qi Niu310.39