Modern high-order integral equation methods for electromagnetic scattering

Mike O'Neil (Courant Institute at NYU)
Event time: 
Wednesday, January 18, 2023 - 1:00pm
AKW 200 See map
Event description: 
Abstract: Solving Maxwell’s equations governing electromagnetic wave
propagation in non-trivial geometries is not merely a numerical or
scientific computing matter: the equations “see” the connectedness of
the geometry and can be quite sensitive to the driving frequency in the
time-harmonic case. In this talk, I will give a brief overview of the
ways in which “standard” approaches for solving electromagnetic
scattering problems breakdown, as well as a suite of modern integral
equation approaches that provide remedies. The solution to these
integral equations can be accelerated via use of an FMM, and the
benefits of high-order solvers over low-order ones will be demonstrated
via several numerical examples.