In simulations of magnetohydrodynamic (MHD) processes the violation of the divergence
constraint causes severe stability problems. In this paper we develop and test a new …

Solving efficiently the wave equations involved in modeling acoustic, elastic or
electromagnetic wave propagation remains a challenge both for research and industry. To …

Here is a comprehensive introduction to the least-squares finite element method (LSFEM)
for numerical solution of PDEs. It covers the theory for first-order systems, particularly the div …

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

Usually, non-stationary numerical calculations in electromagnetics are based on the
hyperbolic evolution equations for the electric and magnetic fields and leave Gauss' law out …

In this paper, we develop the locally divergence-free discontinuous Galerkin method for
numerically solving the Maxwell equations. The distinctive feature of the method is the use of …

Our interest in the study and computation of electromagnetic fields started during the 1990s.
For Franck Assous, it originated from the need to compute precisely the motion of charged …

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

We investigate the finite element methods for solving time-dependent Maxwell equations
with discontinuous coefficients in general three-dimensional Lipschitz polyhedral domains …

A fully discrete finite element method is used to approximate the electric field equation
derived from time-dependent Maxwell's equations in three dimensional polyhedral domains …