A new double-step method for solving complex Helmholtz equation

Authors : Tahereh SALİMİ SİAHKOALAEİ, Davod KHOJASTEH SALKUYEH

Pages : 1245-1260

Doi:10.15672/hujms.494876

View : 13 | Download : 9

Publication Date : 2020-08-06

Article Type : Research Paper

Abstract :We present a new double-step iteration method for solving the systems of linear equations that arise from finite difference discretizations of the complex Helmholtz equations. Convergence analysis of the method is discussed. An upper bound on the spectral radius of the iteration matrix of the method is presented and the parameter which minimizes this upper bound is computed. The proposed method is compared theoretically and numerically with some existing methods. ******************************************************************************
Keywords : Complex Helmholtz equation, iterative method, complex linear systems, symmetric positive definite, double step method