## Applied Mathematics

•  Mike O'Neil, Courant Institute, NYU
•  Fast high-order CAD-independent Nystrom methods for frequency-domain electromagnetics
•  02/23/2018
•  4:10 PM - 5:00 PM
•  C304 Wells Hall

Over the past three decades, there has been a myriad of advances in fast algorithms, singular quadrature, and integral equation theory relevant to the computational solution of partial diﬀerential equations, namely Maxwell’s equations, which govern the propagation of electromagnetic radiation. These advances have culminated in the ability to perform large-scale computations, but high-order accurate applications to solving integral equations has mostly been restricted to trivial geometries deﬁned by analytic formulas or large analytically deﬁned patches. These geometric descriptions are very limiting, given the advances that have been made in three-dimensional modeling software and fabrication. In this talk, I will describe recent advances in the numerical discretization of boundary integral equations along surfaces in three dimensions, new techniques for computing the resulting singular integrals, and the coupling of these techniques to fast algorithms, such as the fast multipole method.

## Contact

Department of Mathematics
Michigan State University