A new potential theory for the Maxwell equations

Workshop on Topology: Identifying Order in Complex Systems
Topic:A new potential theory for the Maxwell equations
Speaker:Leslie Greengard
Affiliation:New York University
Date:Saturday, April 18
Time/Room:2:00pm - 3:00pm/S-101
Video Link:http://video.ias.edu/wtiocs/2015/0418-LeslieGreengard

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.