A Meshless Approach Using EFG Interpolating Moving Least-Squares Method in 2-D Electromagnetic Scattering Analysis

Author

do Carmo Resende, Ursula ; da Rocha Coppoli, Eduardo Henrique ; Afonso, Marcio Matias

Author_Institution

Dept. of Electr. Eng., Centro Fed. de Educ. Tecnol. de Minas Gerais, Belo Horizonte, Brazil

Volume

51

Issue

3

fYear

2015

fDate

Mar-15

Firstpage

1

Lastpage

4

Abstract

In this paper, the element-free Galerkin method with special interpolating shape functions is used to solve an electromagnetic scattering problem. These shape functions make use of the interpolating moving least-squares method that guarantees the Kronecker delta property. This allows enforcing the absorbing boundary condition directly in the discrete system, consisting of a more practical way when compared with other methods, such as the Lagrange multipliers. The technique is applied to the analysis of electromagnetic scattering generated by an infinite dielectric cylinder illuminated by a TM^Z plane wave and a sensibility analysis is done in which the numerical results are compared against the analytical solutions.

Keywords

Galerkin method; discrete systems; electromagnetic wave scattering; interpolation; least squares approximations; 2D electromagnetic scattering analysis; EFG interpolating moving least-squares method; Kronecker delta property; TM^Z plane; absorbing boundary condition; discrete system; element-free Galerkin method; infinite dielectric cylinder; interpolating shape function; meshless approach; sensibility analysis; Boundary conditions; Electromagnetic scattering; Finite element analysis; Interpolation; Method of moments; Shape; Absorbing boundary condition (ABC); dielectric cylinders; electromagnetic scattering; element-free Galerkin (EFG) method;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2014.2361113

Filename

7093558