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Robust transmission conditions of high order for thin conducting sheets in two dimensions

Schmidt, Kersten and Chernov, Alexey :
Robust transmission conditions of high order for thin conducting sheets in two dimensions.
In: IEEE Trans. Magn., 50 (2) pp. 41-44. ISSN 0018-9464
[Article] , (2014)

Abstract

Resolving thin conducting sheets for shielding or even skin layers inside by the mesh of numerical methods like the finite element method (FEM) can be avoided by using impedance transmission conditions (ITCs). Those ITCs shall provide an accurate approximation for small sheet thicknesses d, where the accuracy is best possible independent of the conductivity or the frequency being small or large — this we will call robustness. We investigate the accuracy and robustness of popular and recently developed ITCs, and propose robust ITCs which are accurate up to O(d2).

Item Type: Article
Erschienen: 2014
Creators: Schmidt, Kersten and Chernov, Alexey
Title: Robust transmission conditions of high order for thin conducting sheets in two dimensions
Language: English
Abstract:

Resolving thin conducting sheets for shielding or even skin layers inside by the mesh of numerical methods like the finite element method (FEM) can be avoided by using impedance transmission conditions (ITCs). Those ITCs shall provide an accurate approximation for small sheet thicknesses d, where the accuracy is best possible independent of the conductivity or the frequency being small or large — this we will call robustness. We investigate the accuracy and robustness of popular and recently developed ITCs, and propose robust ITCs which are accurate up to O(d2).

Journal or Publication Title: IEEE Trans. Magn.
Volume: 50
Number: 2
Uncontrolled Keywords: conducting materials;eddy currents;electromagnetic shielding;electromagnetic wave transmission;finite element analysis;ITC;electromagnetic shielding;finite-element method;high order conditions;impedance transmission conditions;numerical methods;skin layers;small sheet thicknesses;thin conducting sheets;Accuracy;Conductivity;Magnetic noise;Magnetic shielding;Object oriented modeling;Robustness;Skin;Eddy currents;electromagnetic shielding;impedance transmission conditions (ITCs)
Divisions: 04 Department of Mathematics
04 Department of Mathematics > Numerical Analysis and Scientific Computing
Date Deposited: 19 Nov 2018 21:29
DOI: 10.1109/TMAG.2013.2285437
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