A Singularity Cancellation Technique for Weakly Singular Integrals on Higher Order Surface Descriptions

被引：5

作者：

Nair, N. V. ^{[1
]}

Pray, A. J. ^{[1
]}

Villa-Giron, J. ^{[2
]}

Shanker, B. ^{[1
,3
]}

Wilton, D. R. ^{[4
]}

机构：

[1] Michigan State Univ, Dept Elect & Comp Engn, E Lansing, MI 48824 USA

[2] AFRL, Wright Patterson AFB, OH 45433 USA

[3] Michigan State Univ, Dept Phys & Astron, E Lansing, MI 48824 USA

[4] Univ Houston, Dept Elect & Comp Engn, Houston, TX 77204 USA

来源：

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION | 2013年 / 61卷 / 04期

基金：

美国国家科学基金会;

关键词：

Near singularity; singular quadrature; singularity cancellation; NUMERICAL EVALUATION; POTENTIAL INTEGRALS; POLYHEDRAL DOMAINS; EQUATION METHODS; QUADRATURE; KERNELS;

D O I：

10.1109/TAP.2013.2238880

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：

Accurate integration of singular and near-singular functions is critical to the accuracy of the method of moments solution to surface integral equations. While this problem has been widely addressed for flat geometries, its extensions to higher order surface descriptions have been limited. This letter provides a systematic prescription for the application of the rules for weakly singular integrals on higher order surfaces. Here, we present implementation details and several demonstrative results that compare the accuracy and convergence of the integration rules.

引用

页码：2347 / 2352

页数：7

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