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

Author

Nair, Naveen V. ; Pray, Andrew J. ; Villa-Giron, J. ; Shanker, Balasubramaniam ; Wilton, Donald R.

Author_Institution

Dept. of Electr. & Comput. Eng., Michigan State Univ., East Lansing, MI, USA

Volume

61

Issue

4

fYear

2013

fDate

4/1/2013 12:00:00 AM

Firstpage

2347

Lastpage

2352

Abstract

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.

Keywords

convergence; integral equations; method of moments; higher order surface descriptions; method of moments; near-singular functions; singularity cancellation technique; surface integral equations; weakly singular integral equation; Accuracy; Convergence; Educational institutions; Geometry; Jacobian matrices; Polynomials; Surface treatment; Near singularity; singular quadrature; singularity cancellation;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/TAP.2013.2238880

Filename

6420887