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...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.展开更多
基金funding this research under grant number DMS-0811104.
文摘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.
