A high-order compact scheme for the one-dimensional Helmholtz equation with a discontinuous coefficient
A high-order compact scheme for the one-dimensional Helmholtz equation with a discontinuous coefficient
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DOI：
10.1080/00207160.2011.648184
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发表时间：
2012-02
影响因子：
1.8
通讯作者：
Xiufang Feng
中科院分区：
文献类型：
--
作者：
Xiufang Feng
本文基于浸入界面法的思想，提出了求解一维间断系数Helmholtz方程的一种四阶紧致差分格式，给出了界面处的跳跃条件。我们考虑了Dirichlet边界条件和Neumann边界条件。Neumann边界条件用四阶格式处理。数值实验验证了该方法的准确性和有效性。
In this paper, based on the idea of the immersed interface method, a fourth-order compact finite difference scheme is proposed for solving one-dimensional Helmholtz equation with discontinuous coefficient, jump conditions are given at the interface. The Dirichlet boundary condition and the Neumann boundary condition are considered. The Neumann boundary condition is treated with a fourth-order scheme. Numerical experiments are included to confirm the accuracy and efficiency of the proposed method.