Analysis of Convolution Quadrature Applied to the Time-Domain Electric Field Integral Equation

作者：Chen Q^*; Monk P; Wang X; Weile D

来源：Communications in Computational Physics, 2012, 11(2): 383-399.

DOI：10.4208/cicp.121209.111010s

• Electromagnetism
• scattering
• time-domain
• integral equation
• EFIE
• convolution quadrature
• multistep method

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.

• 出版日期2012-2