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# Asymptotic boundary element methods for thin conducting sheets in two dimensions

## 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 2014 Schmidt, Kersten and Hiptmair, Ralf Asymptotic boundary element methods for thin conducting sheets in two dimensions English 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. IEEE Trans. Magn. 50 2 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 04 Department of Mathematics04 Department of Mathematics > Numerical Analysis and Scientific Computing 19 Nov 2018 21:33 10.1109/TMAG.2013.2281569 T2T_XMLJSONBibTeXHTML CitationSimple MetadataMODSEndNoteRDF+XMLDublin CoreMultiline CSVEP3 XMLASCII CitationAtomReference Manager TUfind oder in Google
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