Asymptotic boundary element methods for thin conducting sheets in two dimensions
Please always quote using this URN:urn:nbn:de:0296-matheon-12464
- 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.
Author: | Kersten Schmidt, Ralf Hiptmair |
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URN: | urn:nbn:de:0296-matheon-12464 |
Referee: | Harry Yserentant |
Document Type: | Preprint, Research Center Matheon |
Language: | English |
Date of first Publication: | 2013/09/10 |
Release Date: | 2013/09/10 |
Tag: | Asymptotic Expansions; Boundary element method; Thin Conducting Sheets |
Institute: | Technische Universität Berlin |
Project: | D Optics and Electronics (Electronic and photonic devices) / D26 Asymptotic analysis of the wave-propagation in realistic photonic crystal wave-guides |
MSC-Classification: | 65-XX NUMERICAL ANALYSIS / 65Nxx Partial differential equations, boundary value problems / 65N38 Boundary element methods |
Preprint Number: | 1033 |