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An integral equation technique for scattering problems with mixed boundary conditions

Research paper by Adrianna Gillman

Indexed on: 09 Jan '16Published on: 09 Jan '16Published in: Mathematics - Numerical Analysis



Abstract

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, Calder\'on identities can be utilized to avoid the use of hypersingular integral operators. More importantly, the formulation avoids spurious resonances. Numerical results illustrate the performance of the proposed solution technique.