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Singularities of Maxwell interface problems

Published online by Cambridge University Press:  15 August 2002

Martin Costabel ,
Monique Dauge  and
Serge Nicaise
Martin Costabel
Affiliation:
IRMAR, Université de Rennes I, campus de Beaulieu, 35042 Rennes Cedex, France. dauge@univ-rennes1.fr.
Monique Dauge
Affiliation:
IRMAR, Université de Rennes I, campus de Beaulieu, 35042 Rennes Cedex, France. dauge@univ-rennes1.fr.
Serge Nicaise
Affiliation:
Université de Valenciennes et du Hainaut Cambrésis, LIMAV, B.P. 311, 59304 Valenciennes Cedex, France.
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Abstract

We investigate time harmonic Maxwell equations in heterogeneous media, where thepermeability μ and the permittivity ε are piecewise constant. Theassociated boundary value problem can be interpreted as a transmission problem. Ina very natural way the interfaces can have edges and corners. We give a detaileddescription of the edge and corner singularities of the electromagnetic fields.

Keywords

Corner singularitiesinterface problemstransmission conditionsMaxwell equationselectromagnetism.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 33 , Issue 3 , May 1999 , pp. 627 - 649
Copyright
© EDP Sciences, SMAI, 1999

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