An integral equation technique for scattering problems with mixed boundary conditions
Numerical Analysis
2016-01-12 v1
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.
Cite
@article{arxiv.1601.02120,
title = {An integral equation technique for scattering problems with mixed boundary conditions},
author = {Adrianna Gillman},
journal= {arXiv preprint arXiv:1601.02120},
year = {2016}
}