Metadata only
Date
2013-07Type
- Report
ETH Bibliography
yes
Altmetrics
Abstract
Various asymptotic models for thin conducting sheets in computational electromagnetics describe them as closed hyper-surfaces equipped with linear local transmission conditions for the traces of electric and magnetic fields. The transmission conditions turn out to be singularly perturbed with respect to limit values of parameters depending on sheet thickness and conductivity. We consider the reformulation of the resulting transmission problems into boundary integral equations (BIE) and their Galerkin discretization by means of low-order boundary elements. We establish stability of the BIE and provide a priori h-convergence estimates, with the dependence on model parameters made explicit throughout. This is achieved by a novel technique harnessing truncated asymptotic expansions of Galerkin discretization errors. Show more
Publication status
publishedExternal links
Journal / series
SAM Research ReportVolume
Publisher
Seminar for Applied Mathematics, ETH ZurichOrganisational unit
03632 - Hiptmair, Ralf / Hiptmair, Ralf
Related publications and datasets
Is previous version of: http://hdl.handle.net/20.500.11850/93952
More
Show all metadata
ETH Bibliography
yes
Altmetrics