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A quasilinear complexity algorithm for the numerical simulation of scattering from a two-dimensional radially symmetric potential
Journal of Computational Physics ( IF 3.8 ) Pub Date : 2020-03-13 , DOI: 10.1016/j.jcp.2020.109401
James Bremer

Standard solvers for the variable coefficient Helmholtz equation in two spatial dimensions have running times which grow at least quadratically with the wavenumber k. Here, we describe a solver which applies only when the scattering potential is radially symmetric but whose running time is O(klog(k)) in typical cases. We also present the results of numerical experiments demonstrating the properties of our solver, the code for which is publicly available.



中文翻译:

二维径向对称电势散射数值模拟的拟线性复杂度算法

二维空间中变系数Helmholtz方程的标准求解器的运行时间至少随波数k二次方增长。在这里,我们描述一种求解器,该求解器仅在散射势为径向对称但运行时间为Øķ日志ķ在典型情况下。我们还提供了数值实验的结果,这些结果证明了求解器的性能,该求解器的代码可公开获得。

更新日期:2020-03-16
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