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 …

Perfectly matched layers (PMLs) are widely used for the numerical simulation of wave‐like
problems defined on large or infinite spatial domains. However, for both time‐dependent …

A continued-fraction absorbing boundary condition (CFABC) is combined with a consistent
transmitting boundary and applied to an analysis of soil–structure interaction in a layered …

We revisit and investigate the application of an infinite mapping layer in the context of
different physical fields. This layer remaps the infinite physical domain to a finite extension …

This paper presents an original approach to design perfectly matched layers for anisotropic
scalar wave equations. This approach is based, first, on the introduction of a modified wave …

When nonlinear behaviors of soil are important in a soil–structure interaction system,
radiation of energy into the infinity of the soil as well as the nonlinearity must be considered …

This paper presents a detailed study of the construction of reflectionless boundary
conditions for anisotropic elastic problems. A Multiaxial Perfectly Matched Layer (M-PML) …

In this article, several discontinuous Petrov–Galerkin (DPG) methods with perfectly matched
layers (PMLs) are derived along with their quasi-optimal graph test norms. Ultimately, two …

With the ultimate goal of devising effective absorbing boundary conditions (ABCs) for
general anisotropic media, we investigate the accuracy aspects of local ABCs designed for …

The Krylov subspace projection approach is a well-established tool for the reduced-order
modeling of dynamical systems in the time domain. In this paper, we address the main …