Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1864139 | Physics Letters A | 2009 | 7 Pages |
Abstract
Using the finite difference method to discretize Helmholtz equations usually leads to a large spare linear system of equations Ax=bAx=b. Since the coefficient matrix AA is frequently indefinite, it is difficult to solve iteratively. The approach taken in this Letter is to precondition this linear system with positive stable preconditioners and then to solve it iteratively using Krylov subspace methods. Numerical experiments are given in order to demonstrate the efficiency of the presented preconditioners.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Physics and Astronomy (General)
Authors
Shi-Liang Wu, Ting-Zhu Huang, Liang Li, Liang-Lin Xiong,