A common method for numerically solving wave problems in unbounded domains is based
on truncating the infinite domain via an artificial boundary B, thus defining a finite …

▪ Abstract We review artificial boundary conditions (BCs) for simulation of inflow, outflow, and
far-field (radiation) problems, with an emphasis on techniques suitable for compressible …

Mathematics is playing an ever more important role in the physical and biological sciences,
provoking a blurring of boundaries between scientific disciplines and a resurgence of …

While numerically solving a problem initially formulated on an unbounded domain, one
typically truncates this domain, which necessitates setting the artificial boundary conditions …

We consider the efficient evaluation of accurate radiation boundary conditions for time
domain simulations of wave propagation on unbounded spatial domains. This issue has …

A new non-reflecting boundary scheme is proposed for time-dependent wave problems in
unbounded domains. The linear time-dependent wave equation, with or without a dispersive …

We present a systematic approach to the computation of exact nonreflecting boundary
conditions for the wave equation. In both two and three dimensions, the critical step in our …

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 …

We consider the second order wave equation in an unbounded domain and propose an
advanced perfectly matched layer (PML) technique for its efficient and reliable simulation. In …

In this paper we describe a systematic approach for constructing asymptotic boundary
conditions for isotropic wave-like equations using local operators. The conditions take a …