Efficient multiscale electromagnetic simulations require several major challenges that need
to be addressed, such as flexible and robust geometric modeling schemes, efficient and …

As the availability of powerful computer resources has grown over the last three decades,
the art of computation of electromagnetic (EM) problems has also grown-exponentially …

Conformal (or body-fitted) electromagnetic particle-in-cell (EM-PIC) numerical solution
schemes are reviewed. Included is a chronological history of relevant particle physics …

Various time-domain finite-element methods for the simulation of transient electromagnetic
wave phenomena are discussed. Detailed descriptions of test/trial spaces, explicit and …

A direct three-dimensional finite-difference time-domain (FDTD) method is applied to the full-
wave analysis of various microstrip structures. The method is shown to be an efficient tool for …

Extensions of finite-difference time-domain (FDTD) and finite-element time-domain (FETD)
algorithms are reviewed for solving transient Maxwell equations in complex media. Also …

A rigorous analysis of the numerical error associated with the use of stair-stepped (saw-
toothed) approximation of a conducting boundary for finite-difference time-domain (FDTD) …

We present a finite-element time-domain (FETD) approach for the simulation of 3D
electromagnetic (EM) diffusion phenomena. The finite-element algorithm efficiently …

This paper introduces a series of novel hierarchical implicit derivative matching methods to
restore the accuracy of high-order finite-difference time-domain (FDTD) schemes of …

It is commonly believed that the divergence equations in the Maxwell equations are
“redundant” for transient and timeharmonic problems, therefore most of the numerical …