On the Vanishing Displacement Current Limit for Time-Harmonic Maxwell Equations

• This paper considers a transmission boundary-value problem for the time-harmonic Maxwell equations neglecting displacement currents which is frequently used for the numerical computation of eddy-currents. Across material boundaries the tangential components of the magnetic field H and the normal component of the magnetization müH are assumed to be continuous. this problem admits a hyperplane of solutions if the domains under consideration are multiply connected. Using integral equation methods and singular perturbation theory it is shown that this hyperplane contains a unique point which is the limit of the classical electromagnetic transmission boundary-value problem for vanishing displacement currents. Considering the convergence proof, a simple contructive criterion how to select this solution is immediately derived.

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Verfasserangaben: P. Quell, M. Reißligeel urn:nbn:de:hbz:386-kluedo-5612 Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (159) Preprint Englisch 1996 1996 Technische Universität Kaiserslautern 01.01.1996 Fachbereich Mathematik 5 Naturwissenschaften und Mathematik / 510 Mathematik Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011

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