A Simple Transformation for the Numerical Evaluation of Near Strongly Singular Integrals

被引：7

作者：

Fink, Patrick W. ^{[1
]}

Khayat, Michael A. ^{[1
]}

机构：

[1] NASA, Lyndon B Johnson Space Ctr, Antenna & Wireless Syst Branch EV4, Houston, TX 77058 USA

来源：

IEEE ANTENNAS AND WIRELESS PROPAGATION LETTERS | 2013年 / 12卷

关键词：

Computation theory; integral equations; numerical integration; singularity; HYPERSINGULAR INTEGRALS;

D O I：

10.1109/LAWP.2013.2242839

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

A simple transformation using a singularity cancellation technique is presented that enables accurate and efficient computation of near strongly singular integrals involving the gradient of Helmholtz-type potentials for projected observation points that lie external to the source element. Unlike previous Duffy-like transformations, the coordinate reference is offset from the projection of the observation point onto the plane containing the source element. In many cases, this permits highly accurate results without the splitting of the source element. When splitting is required, high-aspect-ratio subtriangles are easily avoided.

引用

页码：225 / 228

页数：4

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