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math.AP2020
Scattering resonances in unbounded transmission problems with sign-changing coefficient
Camille Carvalho, Zoïs Moitier
It is well-known that classical optical cavities can exhibit localized phenomena associated to scattering resonances, leading to numerical instabilities in approximating the soluti…
math.NA2020
Modified representations for the close evaluation problem
Camille Carvalho
When using boundary integral equation methods, we represent solutions of a linear partial differential equation as layer potentials. It is well-known that the approximation of laye…