An optimal 25-point finite difference scheme for the Helmholtz equation with PML

Authors:
Zhongying Chen;Tingting Wu;Hongqi Yang
Affiliations:
-;-;-
Venue:
Journal of Computational and Applied Mathematics
Year:
2011

Citing 9
Cited 1

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Abstract

In this paper, we present an optimal 25-point finite difference scheme for solving the Helmholtz equation with perfectly matched layer (PML) in two dimensional domain. Based on minimizing the numerical dispersion, we propose the refined choice strategy for choosing optimal parameters of the 25-point finite difference scheme. Numerical experiments are given to illustrate the improvement of the accuracy and the reduction of the numerical dispersion.