A new double-step method for solving complex Helmholtz equation

Year 2020, Volume: 49 Issue: 4 , 1245 - 1260 , 06.08.2020

Tahereh Salimi Siahkoalaei Davod Khojasteh Salkuyeh

https://doi.org/10.15672/hujms.494876

Cited By: 7

https://izlik.org/JA73FP64HL

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.

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Keywords

Complex Helmholtz equation , iterative method , complex linear systems , symmetric positive definite , double-step method

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