This paper presents a topology optimisation of two-dimensional open cavities. We first
employ the boundary element method and Sakurai-Sugiura method to rigorously calculate …

We investigate the scattering of a plane wave by a spatial curve known as Viviani's curve
which has several applications in optics. We formulate the problem in terms of a three …

This thesis contributes to the study of eigenvalue and scattering resonance perturbations
caused by domain variations. We derive asymptotic formulae with layer potential techniques …