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2012 A Modified SSOR Preconditioning Strategy for Helmholtz Equations
Shi-Liang Wu, Cui-Xia Li
J. Appl. Math. 2012(SI12): 1-9 (2012). DOI: 10.1155/2012/365124


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.


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Shi-Liang Wu. Cui-Xia Li. "A Modified SSOR Preconditioning Strategy for Helmholtz Equations." J. Appl. Math. 2012 (SI12) 1 - 9, 2012.


Published: 2012
First available in Project Euclid: 3 January 2013

zbMATH: 1235.65126
MathSciNet: MR2861936
Digital Object Identifier: 10.1155/2012/365124

Rights: Copyright © 2012 Hindawi


Vol.2012 • No. SI12 • 2012
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