In [X. Claeys and R. Hiptmair, Integral equations on multi-screens. Integral Equations and Operator Theory, 77(2):167–197, 2013] we developed a framework for the analysis of boundary integral equations for acoustic scattering at so-called multi-screens, which are arbitrary arrangements of thin panels made of impenetrable material. In this article we extend these considerations to boundary integral equations for electromagnetic scattering. <br/> We view tangential multi-traces of vector fields from the perspective of quotient spaces and introduce the notion of single-traces and spaces of jumps. We also derive representation formulas and establish key properties of the involved potentials and related boundary operators. Their coercivity will be proved using a splitting of jump fields. Another new aspect emerges in the form of surface differential operators linking various trace spaces. Show more
Journal / seriesResearch Report
PublisherSeminar für Angewandte Mathematik, ETH
Organisational unit03632 - Hiptmair, Ralf / Hiptmair, Ralf
NotesSee also: http://e-citations.ethbib.ethz.ch/view/pub:159652.
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