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A Modified SSOR Preconditioning Strategy for Helmholtz Equations
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-12-28
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The finite difference method discretization of Helmholtz equations usually leads to the large spare linear systems.
Since the coefficient matrix is frequently indefinite, it is difficult to solve iteratively.
In this paper, a modified symmetric successive overrelaxation (MSSOR) preconditioning strategy is constructed based on the coefficient matrix and employed to speed up the convergence rate of iterative methods.
The idea is to increase the values of diagonal elements of the coefficient matrix to obtain better preconditioners for the original linear systems.
Compared with SSOR preconditioner, MSSOR preconditioner has no additional computational cost to improve the convergence rate of iterative methods.
Numerical results demonstrate that this method can reduce both the number of iterations and the computational time significantly with low cost for construction and implementation of preconditioners.
American Psychological Association (APA)
Wu, Shi-Liang& Li, Cui-Xia. 2011. A Modified SSOR Preconditioning Strategy for Helmholtz Equations. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-9.
https://search.emarefa.net/detail/BIM-993183
Modern Language Association (MLA)
Wu, Shi-Liang& Li, Cui-Xia. A Modified SSOR Preconditioning Strategy for Helmholtz Equations. Journal of Applied Mathematics No. 2012 (2012), pp.1-9.
https://search.emarefa.net/detail/BIM-993183
American Medical Association (AMA)
Wu, Shi-Liang& Li, Cui-Xia. A Modified SSOR Preconditioning Strategy for Helmholtz Equations. Journal of Applied Mathematics. 2011. Vol. 2012, no. 2012, pp.1-9.
https://search.emarefa.net/detail/BIM-993183
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993183