A boundary element method for electromagnetic transmission problems

Time-harmonic electromagnetic waves are scattered by a homogeneous dielectric obstacle. We transform Maxwell's equations via an ansatz into a system of second kind integral equations on the interface. Uniqueness and Fredholm properties of the boundary integral operator are proven. A Garding ine...

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Vydané v:Applicable analysis Ročník 56; číslo 3-4; s. 213 - 226
Hlavní autori: Holm, Hinrich, Stephan, Ernst P.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Gordon and Breach Science Publishers 01.04.1995
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ISSN:0003-6811, 1563-504X
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Shrnutí:Time-harmonic electromagnetic waves are scattered by a homogeneous dielectric obstacle. We transform Maxwell's equations via an ansatz into a system of second kind integral equations on the interface. Uniqueness and Fredholm properties of the boundary integral operator are proven. A Garding inequality is satisfied and ensures the stability of the corresponding Galerkin scheme.
ISSN:0003-6811
1563-504X
DOI:10.1080/00036819508840323