A Wideband Fast Multipole Method for the two-dimensional complex Helmholtz equation

被引：13

作者：

Cho, Min Hyung ^{[1
]}

Cai, Wei ^{[1
]}

机构：

[1] Univ N Carolina, Dept Math & Stat, Charlotte, NC 28223 USA

来源：

COMPUTER PHYSICS COMMUNICATIONS | 2010年 / 181卷 / 12期

关键词：

Wideband Fast Multipole Method; Helmholtz equation; Fast solver; ELECTROMAGNETIC SCATTERING; ALGORITHM;

D O I：

10.1016/j.cpc.2010.09.010

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A Wideband Fast Multipole Method (FMM) for the 2D Helmholtz equation is presented. It can evaluate the interactions between N particles governed by the fundamental solution of 2D complex Helmholtz equation in a fast manner for a wide range of complex wave number k, which was not easy with the original FMM due to the instability of the diagonalized conversion operator. This paper includes the description of theoretical backgrounds, the FMM algorithm, software structures, and some test runs.

引用

页码：2086 / 2090

页数：5

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