In this paper we formulate and analyze two non-conforming high order strategies for the
approximation of elastic wave problems in heterogeneous media, namely the Mortar …

Mathematicsisplayinganevermoreimportant…-ical sciences, provoking a blurring of
boundaries between scienti? c disciplines and a resurgence of interest in the modern as …

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 …

An improvement to the classical finite element (FE) method is proposed. It is able to exactly
represent the geometry by means of the usual CAD description of the boundary with non …

We present two hybridizable discontinuous Galerkin (HDG) methods for the numerical
solution of the time-harmonic Maxwell's equations. The first HDG method explicitly enforces …

Recently, there has been an increased interest in applying the discontinuous Galerkin
method (DGM) to wave propagation. In this work, we investigate the applicability of the …

We consider the combination of discontinuous Galerkin discretizations in space with various
time integration methods for linear acoustic, elastic, and electro‐magnetic wave equations …

Various superconvergence properties of discontinuous Galerkin (DG) and local DG (LDG)
methods for linear hyperbolic and parabolic equations have been investigated in the past …

Explicit local time-stepping methods are derived for time dependent Maxwell equations in
conducting and non-conducting media. By using smaller time steps precisely where smaller …

An attractive feature of discontinuous Galerkin (DG) spatial discretization is the possibility of
using locally refined space grids to handle geometrical details. However, locally refined …