Integral Equations for Acoustic Scattering by Partially Impenetrable Composite Objects

We study direct first-kind boundary integral equations arising from transmission problems for the Helmholtz equation with piecewise constant coefficients and Dirichlet boundary conditions imposed on a closed surface. We identify necessary and sufficient conditions for the occurrence of so-called spu...

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Veröffentlicht in:Integral equations and operator theory 2015-02, Vol.81 (2), p.151-189
Hauptverfasser: Claeys, X., Hiptmair, R.
Format: Artikel
Sprache:eng
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