Discretization of Electric Current Volume Integral Equation With Piecewise Linear Basis Functions

Author

Markkanen, Johannes ; Yla-Oijala, Pasi

Author_Institution

Dept. of Phys., Univ. of Helsinki, Helsinki, Finland

Volume

62

Issue

9

fYear

2014

fDate

Sept. 2014

Firstpage

4877

Lastpage

4880

Abstract

The electric current volume integral equation formulation is discretized with piecewise linear basis and testing functions. The resulting weak formulation is more complicated, and contains additional terms compared with the previous discretization utilizing piecewise constant approximations. However, the use of fully linear functions provides superior solution accuracy while keeping good convergence properties of the original integral equation.

Keywords

approximation theory; convergence of numerical methods; electric current; electromagnetic wave scattering; integral equations; piecewise linear techniques; testing; convergence properties; discretization; electric current volume integral equation formulation; electromagnetic wave scattering; piecewise constant approximations; piecewise linear basis functions; testing functions; Convergence; Dielectrics; Electromagnetic scattering; Integral equations; Permittivity; Testing; Electromagnetic scattering; method of moments; volume integral equation;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/TAP.2014.2334705

Filename

6847671