Eric Michielssen (Illinois. USA)

Fast time domain integral equation solvers

Abstract

The recently introduced plane wave time-domain (PWTD) algorithm permits the efficient evaluation of linear wave fields due to bandlimited transient sources. In essence, PWTD schemes constitute extensions of the frequency domain fast multipole method (Helmholtz equation) to the time domain (wave equation). PWTD algorithms already have been proven useful in the construction of fast time domain integral equation solvers and fast boundary kernels for finite difference/element grid truncation. This presentation will review the state of the art in the field, with a special focus on recent developments relating to material, layered media, low-frequency, and periodic applications.