TY - JOUR T1 - Analysis of Convolution Quadrature Applied to the Time-Domain Electric Field Integral Equation JO - Communications in Computational Physics VL - 2 SP - 383 EP - 399 PY - 2012 DA - 2012/12 SN - 11 DO - http://doi.org/10.4208/cicp.121209.111010s UR - https://global-sci.org/intro/article_detail/cicp/7368.html KW - AB -

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.