Department of Mathematics

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.

 

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Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
Fax: (517) 432-1562

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