A quasilinear complexity algorithm for the numerical simulation of scattering from a two-dimensional radially symmetric potential
Numerical Analysis
2020-04-22 v1 Numerical Analysis
Abstract
Standard solvers for the variable coefficient Helmholtz equation in two spatial dimensions have running times which grow quadratically with the wavenumber . Here, we describe a solver which applies only when the scattering potential is radially symmetric but whose running time is in typical cases. We also present the results of numerical experiments demonstrating the properties of our solver, the code for which is publicly available.
Cite
@article{arxiv.1909.03133,
title = {A quasilinear complexity algorithm for the numerical simulation of scattering from a two-dimensional radially symmetric potential},
author = {James Bremer},
journal= {arXiv preprint arXiv:1909.03133},
year = {2020}
}