Asymptotic Boundary Element Methods for Thin Conducting Sheets in Two Dimensions

Author

Schmidt, Karsten ; Hiptmair, Ralf

Author_Institution

DFG Res. Center Matheon, Tech. Univ. Berlin, Berlin, Germany

Volume

50

Issue

2

fYear

2014

fDate

Feb. 2014

Firstpage

469

Lastpage

472

Abstract

Shielding sheets are commonly used in the protection of electronic devices. With their large aspect ratios they become a serious issue for the direct application of BEMs due to the occurring almost singular integrals. Impedance transmission conditions (ITCs) allow for boundary element formulations where only sheet midline has to be triangulated. We propose and analyze BEMs of second kind for ITCs of two different types for the time-harmonic eddy-current problem in 2-D. In numerical experiments, we study the effect on the magnetic shielding efficiency of the discretization error due the boundary element discretization and the modeling error due to the impedance transmission condition.

Keywords

boundary-elements methods; eddy currents; magnetic shielding; aspect ratios; asymptotic boundary element methods; boundary element discretization; discretization error; electronic device protection; impedance transmission conditions; magnetic shielding efficiency; modeling error; sheet midline; shielding sheets; singular integrals; thin conducting sheets; time-harmonic eddy-current problem; Computational modeling; Impedance; Integral equations; Magnetic noise; Magnetic shielding; Mathematical model; Numerical models; Computational electromagnetics; eddy currents; electromagnetic shielding; integral equations;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2013.2281569

Filename

6749065