Numerical evaluation of singular and near-singular potential integrals

被引：193

作者：

Khayat, MA ^{[1
]}

Wilton, DR ^{[1
]}

机构：

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

来源：

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION | 2005年 / 53卷 / 10期

关键词：

D O I：

10.1109/TAP.2005.856342

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 and efficient numerical procedure using a singularity cancellation scheme is presented for evaluating singular and near-singular potential integrals with 1/R singularities. The procedure not only has several advantages over singularity subtraction methods, but also improves on some aspects of other singularity cancellation methods such as polar and Duffy transformations. A theoretical analysis is presented for triangles, quadrilaterals, tetrahedrons, bricks, and prisms, and numerical results are presented for triangles and prisms.

引用

页码：3180 / 3190

页数：11

共 20 条

[1] A method for computing nearly singular integrals [J].

Beale, JT ;

Lai, MC .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 2001, 38 (06) :1902-1925

[2] Singular basis functions and curvilinear triangles in the solution of the electric field integral equation [J].

Brown, WJ ;

Wilton, DR .

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1999, 47 (02) :347-353

[3] EVALUATION OF POTENTIAL INTEGRAL AT SINGULARITY OF EXACT KERNEL IN THIN-WIRE CALCULATIONS [J].

BUTLER, CM .

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1975, AP23 (02) :293-295

[4] THEORETICAL AND NUMERICAL TREATMENT OF SURFACE INTEGRALS INVOLVING THE FREE-SPACE GREENS-FUNCTION [J].

CAORSI, S ;

MORENO, D ;

SIDOTI, F .

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1993, 41 (09) :1296-1301

[5] QUADRATURE OVER A PYRAMID OR CUBE OF INTEGRANDS WITH A SINGULARITY AT A VERTEX [J].

DUFFY, MG .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1982, 19 (06) :1260-1262

[6] On the calculation of potential integrals for linear source distributions on triangular domains [J].

Eibert, TF ;

Hansen, V .

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1995, 43 (12) :1499-1502

[7] ON THE NUMERICAL-INTEGRATION OF THE LINEAR SHAPE FUNCTIONS TIMES THE 3-D GREEN-FUNCTION OR ITS GRADIENT ON A PLANE TRIANGLE [J].

GRAGLIA, RD .

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1993, 41 (10) :1448-1455

[8] STATIC AND DYNAMIC POTENTIAL INTEGRALS FOR LINEARLY VARYING SOURCE DISTRIBUTIONS IN TWO-DIMENSIONAL AND 3-DIMENSIONAL PROBLEMS [J].

GRAGLIA, RD .

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1987, 35 (06) :662-669

[9] Singularity extraction technique for integral equation methods with higher order basis functions on plane triangles and tetrahedra [J].

Järvenpää, S ;

Taskinen, M ;

Ylä-Oijala, P .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2003, 58 (08) :1149-1165

[10]

Jin J., 2015, The Finite Element Method in Electromagnetics, V2nd ed.

← 1 2 →