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 …

This article addresses the efficient finite element solution of exterior acoustic problems with
truncated computational domains surrounded by perfectly matched layers (PMLs). The PML …

This article addresses the efficient solution of exterior acoustic transient problems using the
Finite Element Method (FEM) in combination with infinite elements. Infinite elements are a …

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 …

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 outdoor acoustics, the calculations of sound propagating in air can be computationally
heavy if the domain is chosen large enough for the sound waves to decay. The …

This paper presents a stability-preserving model reduction method for an acoustic finite
element model with perfectly matched layers (PMLs). PMLs are often introduced into an …

We propose energy-conserving discontinuous Galerkin (DG) methods for symmetric linear
hyperbolic systems on general unstructured meshes. Optimal a priori error estimates of …

Modeling unbounded or semi-infinite media with numerical methods, such as finite
elements, requires avoiding that waves pass through the boundaries of the truncated …

The aim of this paper is to accurately solve short wave scattering problems governed by the
Helmholtz equation using the Bernstein–Bézier Finite Element method (BBFEM), combined …