Fast and Accurate Evaluation of Double Surface Integrals in Time-Domain Integral Equation Formulations

被引：1

作者：

Wu, Yi-Ting ^{[1
]}

Sheng, Wei-Xing ^{[1
]}

Han, Yu-Bing ^{[1
]}

机构：

[1] Nanjing Univ Sci & Technol, Sch Elect & Opt Engn, Nanjing 210094, Jiangsu, Peoples R China

来源：

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION | 2016年 / 64卷 / 12期

基金：

美国国家科学基金会;

关键词：

Angular integration (AI); quadrature; singular and near-hypersingular integrals; time-domain integral equations (TDIEs); NUMERICAL-INTEGRATION; SINGULAR-INTEGRALS; GREEN-FUNCTION; SCATTERING; QUADRATURE; TRIANGLE; GRADIENT; SCHEME; RULES; SHAPE;

D O I：

10.1109/TAP.2016.2623640

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 novel integration approach is developed for efficiently evaluating double surface integrals in time-domain integral equation formulations. The approach mainly consists of an angular integration scheme for inner 2-D integrals and a modified outer integration scheme. The approach proposed can handle the singularity and near-hypersingularity of the 4-D integrals, and is sufficiently general for arbitrary types of basis functions over planar domains. As several numerical results will demonstrate, the proposed approach has high accuracy and rapid convergence rate for a variety of integral kernels.

引用

页码：5531 / 5536

页数：6

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