Event time:

Wednesday, January 18, 2023 - 1:00pm

Location:

AKW 200

Speaker:

Mike O'Neil

Speaker affiliation:

Courant Institute at NYU

Event description:

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.