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Asymptotic boundary element methods for thin conducting sheets in two dimensions

Schmidt, Kersten ; Hiptmair, Ralf :
Asymptotic boundary element methods for thin conducting sheets in two dimensions.
In: IEEE Trans. Magn., 50 (2) S. 469-472. ISSN 0018-9464
[Artikel] , (2014)

Kurzbeschreibung (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.

Typ des Eintrags: Artikel
Erschienen: 2014
Autor(en): Schmidt, Kersten ; Hiptmair, Ralf
Titel: Asymptotic boundary element methods for thin conducting sheets in two dimensions
Sprache: Englisch
Kurzbeschreibung (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.

Titel der Zeitschrift, Zeitung oder Schriftenreihe: IEEE Trans. Magn.
Band: 50
(Heft-)Nummer: 2
Freie Schlagworte: 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
Fachbereich(e)/-gebiet(e): 04 Fachbereich Mathematik
04 Fachbereich Mathematik > Numerik und wissenschaftliches Rechnen
Hinterlegungsdatum: 19 Nov 2018 21:33
DOI: 10.1109/TMAG.2013.2281569
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