Volume 11, Issue 2
Analysis of Convolution Quadrature Applied to the Time-domain Electric Field Integral Equation

Q. Chen ,  P. Monk and X. Wang & D. Weile

10.4208/cicp.121209.111010s

Commun. Comput. Phys., 11 (2012), pp. 383-399.

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  • Abstract

We show how to apply convolution quadrature (CQ) to approximate the time domain electric field integral equation (EFIE) for electromagnetic scattering. By a suitable choice of CQ, we prove that the method is unconditionally stable and has the optimal order of convergence. Surprisingly, the resulting semi discrete EFIE is dispersive and dissipative, and we analyze this phenomena. Finally, we present numerical results supporting and extending our convergence analysis. 

  • History

Published online: 2012-12

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