A note on the method of analytical regularization

Author

Fikioris, George

Author_Institution

Dept. of Electr. & Comput. Eng., Nat. Tech. Univ., Athens, Greece

Volume

43

Issue

2

fYear

2001

fDate

4/1/2001 12:00:00 AM

Firstpage

34

Lastpage

40

Abstract

Many problems of electromagnetics are governed by singular integral equations of the first kind. As discussed by Nosich (1999), it is often possible to obtain a different equation describing the problem by applying the method of analytical regularization, and analytically inverting part of the original equation. The transformed equation is of the second kind. Therefore, as a rule, it is usually preferable to apply a numerical method to the transformed equation than to the original one. What appears to be an exception to that rule is discussed in the present paper: under proper conditions, and for a particular numerical method, results obtained by application to the transformed equation are shown to be identical to those obtained by application to the original equation. Some consequences of this equivalence are discussed

Keywords

Fredholm integral equations; differential equations; electromagnetic wave scattering; computational electromagnetics; different equation; electromagnetics; method of analytical regularization; numerical method; singular integral equations; transformed equation; Computational electromagnetics; Differential equations; Eigenvalues and eigenfunctions; Electromagnetic analysis; Integral equations; Moment methods; Numerical analysis; Terminology; Vectors;

fLanguage

English

Journal_Title

Antennas and Propagation Magazine, IEEE

Publisher

ieee

ISSN

1045-9243

Type

jour

DOI

10.1109/74.924602

Filename

924602