The Fariborz Maseeh Mathematics and Statistics Colloquium Series*
Time Domain Integral Equations for Computational Electromagnetism
by Peter Monk, Ph.D., University of Delaware
Friday, November 15th, 2013 at 3:15pm
Neuberger Hall room 454
(Refreshments served at 3:00 in presentation room)
This event is free and open to the public
Abstract: Scattering problems for Maxwell's equations can be solved in the frequency or time domain. In the frequency domain both finite element and boundary integral methods are in common use, and their relative strengths and weaknesses are well understood. In contrast, in the time domain the principle technique is the finite difference time domain method. However, time domain integral equations have become much more popular in recent years, although they still represent a considerable coding challenge. This can be mitigated by using the convolution quadrature approach, together with a boundary Galerkin method in space and efficient integral equation software.
I shall outline the CQ method applied to Maxwell's equations using the problem of computing waves scattered by a penetrable object as a model problem. After discussing some properties of the scheme, I shall present some numerical results.
About the speaker:
After undergraduate school at Cambridge University in the UK, Peter Monk received his PhD in mathematics from Rutgers University, NJ, USA in 1982 under the direction of Professor Rick Falk. Since then he has been at the University of Delaware, most recently as UNIDEL named professor. He works on computational methods in scattering and an inverse scattering theory, particularly problems in linear acoustics and electromagnetism. He is the author of a monograph “Finite Element Methods for Maxwell’s Equations”. He is an associate editor for the IMA Journal on Numerical Analysis and a fellow the UK IMA
* Sponsored by the Maseeh Mathematics and Statistics Colloquium Series Fund and the Fariborz Maseeh Department of Mathematics & Statistics, PSU. This event is free and open to the public.