Singularity subtraction technique for high-order polynomial vector basis functions on planar triangles

Author

Järvenpää, Seppo ; Taskinen, Matti ; Ylä-Oijala, Pasi

Author_Institution

Electromagn. Lab., Helsinki Univ. of Technol., Espoo, Finland

Volume

54

Issue

1

fYear

2006

Firstpage

42

Lastpage

49

Abstract

In this paper a singularity subtraction technique is developed for computing the impedance matrix elements of various electromagnetic surface integral equation formulations with the Galerkin method and high-order basis functions. Analytical closed form formulas for computing surface integrals with |r - r´|ⁿ, n≥-3, singularities times polynomial nodal shape functions of arbitrary order on a planar triangle are presented.

Keywords

Galerkin method; computational electromagnetics; electric field integral equations; electromagnetic wave scattering; impedance matrix; magnetic field integral equations; Galerkin method; electromagnetic computation; high-order basis function; impedance matrix element; planar triangle; singularity subtraction technique; surface integral equation formulation; Current density; Dielectrics; Integral equations; Magnetic fields; Moment methods; Polynomials; Shape; Subtraction techniques; Surface impedance; Transmission line matrix methods; Higher order basis function; method of moments (MoM); numerical integration; singularity extraction; singularity subtraction; surface integral equation;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/TAP.2005.861556

Filename

1573738