A Marching-on-in-Time Hierarchical Scheme for the Solution of the Time Domain Electric Field Integral Equation

A spatially hierarchical current expansion is used to construct a marching-on-in-time based time domain electric field integral equation solver. The formulation gives rise to well-conditioned linear systems and is immune to time domain low-frequency breakdown phenomena. Numerical results that demonstrate the effectiveness of the proposed hierarchical approach in comparison with existing technologies are presented.