Workshop on Topology: Identifying Order in Complex Systems

Existing formulations of Maxwell's equations encounter numerical difficulties in geometries with sub-wavelength features and/or non-trivial genus. We will describe a new system of boundary value problems for the electromagnetic vector and scalar potentials that permits stable and robust solutions of scattering problems for all frequencies. This is joint work with Felipe Vico, Miguel Ferrando and Zydrunas Gimbutas.