25th Annual GAMM-Seminar Leipzig on

FEM and BEM for time-dependent wave problems

Convolution Quadrature Applied to Electromagnetic Scattering Problems

Peter Monk (University of Delaware)

We shall present an analysis of convolution quadrature applied to the time domain Electric Field Integral Equation arising in the electromagnetic scattering of a wave by a perfectly conducting object. Numerical results pertaining to this analysis will also be presented. In particular we verify the predicted rates of convergence, but also note a long time instability related to low frequency components of the field. Methods to overcome this instability will be described. We will also present numerical results for scattering by a penetrable dispersive and conducting scatterer that are now the subject of a theoretical investigation.

This is joint work with Q. Chen, D. Weile, and X. Wang

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