关于求解无界区域上Helmholz方程的Hermite-Galerkin谱方法

On Hermite-Galerkin Spectral Methods for Solving Helmholz Equation on Unbounded Domain

考虑直接用Hermite-Galerkin谱方法求解无界区域上的Helmholz方程.一般来说,由于无界区域上的Laplace算子不是紧算子,因此无法得到离散格式的稳定性.但分析表明,在适当的参数选取下,可以使用Hermite-Galerkin谱方法而取得较高的数值精度.数值结果也验证了上述结论.

Direct Hermite-Galerkin spectral method is considered for solving Helmholz equations on unbounded domain, it is shown that one can achieve high accuracy by using Hermite-Galerkin method for appropriate parameter appeared in original equation.