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

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:236

Article

Chen, Zhongying¹  Wu, Tingting¹  Yang, Hongqi¹ 

[1] Sun Yat Sen Univ, Guangdong Prov Key Lab Computat Sci, Guangzhou 510275, Guangdong, Peoples R China

关键词: Helmholtz equation;    PML;    25-point finite difference scheme;    Numerical dispersion;   

DOI  :  10.1016/j.cam.2011.08.007

来源: Elsevier

【 摘 要 】

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. (C) 2011 Elsevier B.V. All rights reserved.

【 授权许可】

Free