A NOVEL SMOOTHING SCHEME OF TEMPORAL BASIS FUNCTION INDEPENDENT METHOD IN MOT BASED TDIE

Abstract

In this paper, a novel numerical temporal convolution method is presented to calculate the convolutions between the retarded-time potentials and temporal basis functions (or its integration, derivation) in marching-on-in-time (MOT) solver. This approach can smooth and eliminate the singularity of integrated functions by variable substitution. It can also effectively control the precision of numerical quadratures over the surface of the source distribution. Thus it is suitable for more types of temporal basis functions, including non-piecewise polynomial functions. Numerical results demonstrate that this improved method can ensure the accuracy and late time stability of the MOT solver with different types of temporal basis functions.