An optimal 25-point finite difference scheme for the Helmholtz equation with PML |
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Authors: | Zhongying Chen Tingting Wu Hongqi Yang |
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Institution: | Guangdong Province Key Laboratory of Computational Science, Sun Yat-Sen University, Guangzhou 510275, PR China |
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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. |
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Keywords: | Helmholtz equation PML 25-point finite difference scheme Numerical dispersion |
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