A Stable Higher Order Time Domain Electric Field Integral Equation Solver

摘要

The issue of stability of time domain integral equations has gained renewed interest over the past two decades. Recently, exact integration schemes have shown late time stability, but cannot be extended to higher order geometries. This motivated the development of a method that relies on a separable expansion of the convolution with the retarded potential that overcomes the obstacles posed by exact integration. This method was shown to yield late time stable results for a number of challenging scatterers. In this work we extend this method to higher order geometries. Results are shown to demonstrate the method's effectiveness.