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 …

Since the middle of the last century, computing power has increased sufficiently that the
direct numerical approximation of Maxwell's equations is now an increasingly important tool …

Perhaps the defining feature of waves is the fact that they propagate long distances relative
to their characteristic dimension, the wavelength. This allows us to use them to probe the …

Solving efficiently the wave equations involved in modeling acoustic, elastic or
electromagnetic wave propagation remains a challenge both for research and industry. To …

We introduce an optimal bounded perfectly matched layer (PML) technique by choosing a
particular absorbing function with unbounded integral. With this choice, spurious reflections …

The Bérenger perfectly matched layer (or PML) is an absorbing layer used for terminating
infinite domain calculations. Here, we examine how to extend the original layer to curvilinear …

We develop a finite element adaptive strategy with error control for the wave scattering by
periodic structures. The unbounded computational domain is truncated to a bounded one by …

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

We develop an adaptive perfectly matched layer (PML) technique for solving the time-
harmonic scattering problems. The PML parameters such as the thickness of the layer and …

Although perfectly matched layers (PMLs) have been widely used to truncate numerical
simulations of electromagnetism and other wave equations, we point out important cases in …