HIGH ORDER COMPACT FINITE DIFFERENCE SCHEMES FOR THE HELMHOLTZ EQUATION WITH DISCONTINUOUS COEFFICIENTS
HIGH ORDER COMPACT FINITE DIFFERENCE SCHEMES FOR THE HELMHOLTZ EQUATION WITH DISCONTINUOUS COEFFICIENTS
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DOI：
10.4208/jcm.1010-m3204
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发表时间：
2011-05-01
影响因子：
0.9
通讯作者：
Qiao, Zhonghua
中科院分区：
文献类型：
--
作者：
Feng, Xiufang;Li, Zhilin;Qiao, Zhonghua
本文利用三阶和四阶紧致有限差分格式求解二维空间中沿直线界面的不连续介质Helmholtz方程。为了保持有限差分格式的紧凑性，即使在波数不连续的界面处也能得到全局高阶格式，采用了浸入界面法的思想。通过数值实验验证了所提方法的有效性和准确性。
In this paper, third- and fourth-order compact finite difference schemes are proposed for solving Helmholtz equations with discontinuous media along straight interfaces in two space dimensions. To keep the compactness of the finite difference schemes and get global high order schemes, even at the interface where the wave number is discontinuous, the idea of the immersed interface method is employed. Numerical experiments are included to confirm the efficiency and accuracy of the proposed methods.