This text reviews the state of the art of the Discontinuous Galerkin (DG) method applied to
the solution of the Maxwell's equations in Time Domain (TD). The work is divided into two …

The purpose of this book is to provide an up-to-date introduction to the time-domain finite
element methods for Maxwell's equations involving metamaterials. Since the first successful …

In this paper, we develop a nodal discontinuous Galerkin method for solving the time-
dependent Maxwellʼs equations when metamaterials are involved. Both semi-and fully …

This paper adapts the weak Galerkin (WG) finite element scheme to Maxwell's equations in
the time domain. Developed by Wang and Ye in 2011, the WG scheme is a discontinuous …

In this paper, we discuss the local discontinuous Galerkin methods coupled with two specific
explicit-implicit-null time discretizations for solving one-dimensional nonlinear diffusion …

The propagation of electromagnetic waves in general media is modeled by the time-
dependent Maxwell's partial differential equations (PDEs), coupled with constitutive laws …

Simulation of electromagnetic wave propagation in metamaterials leads to more
complicated time domain Maxwell's equations than the standard Maxwell's equations in free …

The interaction of light with metallic nanostructures is increasingly attracting interest
because of numerous potential applications. Sub-wavelength metallic structures, when …

Have you ever wondered why we use certain computational electromagnetics methods and
how we decide on the choice of tools for modeling problems in electromagnetics? Though …

Since the successful construction of the so-called double negative metamaterials in 2000,
there has been a growing interest in studying metamaterials across many disciplinaries. In …