Machine precision evaluation of singular and nearly singular potential integrals by use of Gauss quadrature formulas for rational functions

被引：68
作者：
Graglia, Roberto D. [1 ,2 ]
Lombardi, Guido [1 ]
机构：
[1] Politecn Torino, Dipartimento Elettr, I-10129 Turin, Italy
[2] Inst Super Mario Boella ISMB, I-10138 Turin, Italy
来源：
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION | 2008年 / 56卷 / 04期
关键词：
boundary element methods; finite element methods; finite volume methods; integral equations; method of moment (MoM);
D O I：
10.1109/TAP.2008.919181
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 new technique for machine precision evaluation of singular and nearly singular potential integrals with 1/R singularities is presented. The numerical quadrature scheme is based on a new rational expression for the integrands, obtained by a cancellation procedure. In particular, by using library routines for Gauss quadrature of rational functions readily available in the literature, this new expression permits the exact numerical integration of singular static potentials associated with polynomial source distributions. The rules to achieve the desired numerical accuracy for singular and nearly singular static and dynamic potential Integrals are presented and discussed, and several numerical examples are provided.
引用
收藏
页码：981 / 998
页数：18
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