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 …

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 …

The temperature distribution in a product submitted to microwave radiation is governed by
the interaction and absorption of radiation by the medium and the accompanying transport …

Improvements are made in nonreflecting boundary conditions at artificial boundaries for use
with the Helmholtz equation. First, it is shown how to remove the difficulties that arise when …

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 …

Nonreflecting boundary conditions for problems of wave propagation are nonlocal in space
and time. While the nonlocality in space can be efficiently handled by Fourier or spherical …

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 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 …