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 …

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 …

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 …

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 …

We describe a new, efficient approach to the imposition of exact nonreflecting boundary
conditions for the scalar wave equation. We compare the performance of our approach with …

The aim of this paper is to give a comprehensive review of current developments related to
the derivation of artificial boundary conditions for nonlinear partial differential equations. The …

This paper deals with absorbing boundary conditions for hyperbolic systems in one and two
space dimensions. We prove the strict well–posedness of the resulting initial boundary value …

In this paper we show the well-posedness and stability of the Maxwell scattering problem
with the transparent boundary condition. The proof depends on the well-posedness of the …

We compare several local absorbing boundary conditions for solving the Helmholtz
equation, by a finite difference or finite element method, exterior to a general scatterer …

In this paper we develop the theory of high-order radiation boundary conditions for wave
propagation problems. In particular, we study the convergence of sequences of time-local …