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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Veröffentlicht in:	Applicable analysis Jg. 56; H. 3-4; S. 213 - 226
Hauptverfasser:	Holm, Hinrich, Stephan, Ernst P.
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Gordon and Breach Science Publishers 01.04.1995
Schlagworte:	boundary element method eddy current problem second kind integral equation
ISSN:	0003-6811, 1563-504X
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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