An integral equation technique for scattering problems with mixed boundary conditions

This paper presents an integral formulation for Helmholtz problems with mixed boundary conditions. Unlike most integral equation techniques for mixed boundary value problems, the proposed method uses a global boundary charge density. As a result, Calderón identities can be utilized to avoid the use...

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Veröffentlicht in:Advances in computational mathematics 2017-04, Vol.43 (2), p.351-364
1. Verfasser: Gillman, Adrianna
Format: Artikel
Sprache:eng
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Zusammenfassung:This paper presents an integral formulation for Helmholtz problems with mixed boundary conditions. Unlike most integral equation techniques for mixed boundary value problems, the proposed method uses a global boundary charge density. As a result, Calderón identities can be utilized to avoid the use of hypersingular integral operators. Numerical results illustrate the performance of the proposed solution technique.
ISSN:1019-7168
1572-9044
DOI:10.1007/s10444-016-9488-6