New Preconditioners with Two Variable Relaxation Parameters for the Discretized Time-Harmonic Maxwell Equations in Mixed Form
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-21
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We provide new preconditioners with two variable relaxation parameters for the saddle point linear systems arising from finite element discretization of time-harmonic Maxwell equations in mixed form.
The new preconditioners are of block-triangular forms and Schur complement-free.
They are extensions of the results in Cheng et al., 2009, Grief and Schötzau, 2007, and Huang et al., 2009.
Theoretical analysis shows that all eigenvalues of the preconditioned matrices are tightly clustered, and numerical tests confirm our analysis.
American Psychological Association (APA)
Zeng, Yuping& Li, Chen-liang. 2012. New Preconditioners with Two Variable Relaxation Parameters for the Discretized Time-Harmonic Maxwell Equations in Mixed Form. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-1001764
Modern Language Association (MLA)
Zeng, Yuping& Li, Chen-liang. New Preconditioners with Two Variable Relaxation Parameters for the Discretized Time-Harmonic Maxwell Equations in Mixed Form. Mathematical Problems in Engineering No. 2012 (2012), pp.1-13.
https://search.emarefa.net/detail/BIM-1001764
American Medical Association (AMA)
Zeng, Yuping& Li, Chen-liang. New Preconditioners with Two Variable Relaxation Parameters for the Discretized Time-Harmonic Maxwell Equations in Mixed Form. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-1001764
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1001764