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electromagnetism.

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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Singularities of Maxwell interface problems
Martin Costabel, Monique Dauge, Serge Nicaise
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 33 / Issue 3 / May 1999

Published online by Cambridge University Press:

15 August 2002, pp. 627-649

Print publication:

May 1999
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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.