The rapid growth of the electrical modeling and analysis of the interconnect structure, both at
the electronic chip and package level, can be attributed to the increasing importance of the …

In the past, both the time-domain electric and magnetic field integral equations have been
applied to the analysis of transient scattering from closed structures. Unfortunately, the …

The computational complexity of classical marching-on-in-time (MOT) methods for solving
time domain integral equations (TDIEs) pertinent to the analysis of transient scattering …

Paraxial Gaussian beams (GB's) are collimated wave objects that have found wide
application in optical system analysis and design. A GB propagates in physical space …

This paper introduces a new directional multilevel algorithm for solving N-body or N-point
problems with highly oscillatory kernels. These systems often result from the boundary …

Time domain boundary integral formulations of transient scattering problems involve
retarded potential integral equations. Solving such equations numerically is both …

Our objective is to stabilise and accelerate the time-domain boundary element method
(TDBEM) for the three-dimensional wave equation. To overcome the potential time …

This paper reviews the recent progress of fast integral equation solvers at the Center for
Computational Electromagnetics and Electromagnetics laboratory, University of Illinois at …

We develop a three‐dimensional shape optimization (SO) framework for the wave equation
with taking the unsteadiness into account. Resorting to the adjoint variable method, we …

The paper gives a status of present electromagnetic (EM) coupling modeling capabilities.
Starting from topologically designed systems, it shows how formal rules of the EM topology …