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Asymptotic boundary element methods for thin conducting sheets in two dimensions

Schmidt, Kersten and Hiptmair, Ralf (2014):
Asymptotic boundary element methods for thin conducting sheets in two dimensions.
In: IEEE Trans. Magn., pp. 469-472, 50, (2), ISSN 0018-9464, DOI: 10.1109/TMAG.2013.2281569, [Article]

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 boundary element methods due to the occurring almost singular integrals. Impedance transmission conditions allow for boundary element formulations where only sheet mid-line has to be triangulated. We propose and analyse boundary element methods of second kind for impedance transmission conditions of two different types for the time-harmonic eddy current problem in two dimensions. In numerical experiments we study the effect on the magnetic shielding efficiency of the discretisation error due the boundary element discretisation and the modelling error due to the impedance transmission condition.

Item Type: Article
Erschienen: 2014
Creators: Schmidt, Kersten and Hiptmair, Ralf
Title: Asymptotic boundary element methods for thin conducting sheets in two dimensions
Language: English
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 boundary element methods due to the occurring almost singular integrals. Impedance transmission conditions allow for boundary element formulations where only sheet mid-line has to be triangulated. We propose and analyse boundary element methods of second kind for impedance transmission conditions of two different types for the time-harmonic eddy current problem in two dimensions. In numerical experiments we study the effect on the magnetic shielding efficiency of the discretisation error due the boundary element discretisation and the modelling error due to the impedance transmission condition.

Journal or Publication Title: IEEE Trans. Magn.
Volume: 50
Number: 2
Uncontrolled 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
Divisions: 04 Department of Mathematics
04 Department of Mathematics > Numerical Analysis and Scientific Computing
Date Deposited: 19 Nov 2018 21:33
DOI: 10.1109/TMAG.2013.2281569
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