Modelling methods are nowadays at the heart of any geophysical interpretation approach.
These are heavily relied upon by imaging techniques in elastodynamics and …

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 …

We investigate the stability of some high-order finite element methods, namely the spectral
element method and the interior-penalty discontinuous Galerkin method (IP-DGM), for …

In the recent years, there has been an increasing interest in discontinuous Galerkin time
domain (DGTD) methods for the solution of the unsteady Maxwell equations modeling …

For Hamiltonian systems, simulation algorithms that exactly conserve numerical energy or
pseudo-energy have seen extensive investigation. Most available methods either require …

For a long time, wave equations in general and Maxwell's equations in particular were
solved in the time-harmonic domain 1 by finite element methods (FEM). Equations in time …

We present an algorithm for the numerical simulation of seismic wave propagation in models
with a complex near surface part and free surface topography. The approach is based on the …

Solving wave propagation problems within heterogeneous media has been of great interest
and has a wide range of applications in physics and engineering. The design of numerical …

In this work, a method for the simulation of guided wave propagation in solids defined by
implicit surfaces is presented. The method employs structured grids of spectral elements in …

In Grote et al.(SIAM J. Numer. Anal., 44: 2408–2431, 2006) a symmetric interior penalty
discontinuous Galerkin (DG) method was presented for the time-dependent wave equation …