A note on "Quasi-analytical solution of two-dimensional Helmholtz equation"

被引：0

作者：

Smith, Stefan G. Llewellyn ^{[1
]}

机构：

[1] UCSD, Jacobs Sch Engn, Dept Mech & Aerosp Engn, 9500 Gilman Dr, La Jolla, CA 92093 USA

来源：

APPLIED MATHEMATICAL MODELLING | 2018年 / 54卷

关键词：

Helmholtz equation; Conformal mapping; Bessel functions; FUNDAMENTAL-SOLUTIONS; EIGENVALUES; SCATTERING; LAPLACIAN;

D O I：

10.1016/j.apm.2017.09.049

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The recent paper of Van Hirtum in this journal repeats a number of misconceptions about the use of conformal mappings in solving the two-dimensional Helmholtz equation. These are discussed, as is the fact that the numerical approach presented does not lead to accurate results. In general conformal mapping is not useful in solving Helmholtz's equation. Other, accurate, techniques are briefly reviewed. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：281 / 283

页数：3

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