This review article revisits and outlines the perfectly matched layer (PML) method and its
various formulations developed over the past 25 years for the numerical modeling and …

Abstract Perfectly Matched Layer (PML) is a widely adopted non-reflecting boundary
treatment for wave simulations. Reducing numerical reflections from a discretized PML has …

We present a stable discontinuous Galerkin (DG) method with a perfectly matched layer
(PML) for three and two space dimensional linear elastodynamics, in velocity-stress …

We consider numerical simulation of the isotropic elastic wave equations arising from
seismic applications with non-trivial land topography. The more flexible finite element …

We consider the numerical simulation of the acoustic wave equations arising from seismic
applications, for which staggered grid finite difference methods are popular choices due to …

It is well-known that reliable and efficient domain truncation is crucial to accurate numerical
solution of most wave propagation problems. The perfectly matched layer (PML) is a method …

In this paper, we develop a provably energy stable discontinuous Galerkin spectral element
method (DGSEM), approximating the perfectly matched layer (PML) for the three and two …

We develop dissipative, energy-stable difference methods for linear first-order hyperbolic
systems by applying an upwind, discontinuous Galerkin construction of derivative matrices …

The perfectly matched layer (PML) is commonly used in wave propagation, radiation and
diffraction problems in unbounded space domains. A new implementation scheme of PML is …

The stability of wave numerical simulation is the premise of obtaining reliable results.
Transmitting boundary is a kind of artificial boundary with high order and high efficiency, but …