State-of-the-art finite-element methods for time-harmonic acoustics governed by the
Helmholtz equation are reviewed. Four major current challenges in the field are specifically …

We present a review of the application of the spectral-element method to regional and global
seismology. This technique is a high-order variational method that allows one to compute …

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 …

We present and analyze a perfectly matched, absorbing layer model for the velocity-stress
formulation of elastodynamics. The principal idea of this method consists of introducing an …

The perfectly matched layer (PML) absorbing boundary condition has proven to be very
efficient from a numerical point of view for the elastic wave equation to absorb both body …

The perfectly matched layer (PML) has proven to be efficient for absorbing elastic waves in
the unbounded domain. This strategy is frequently coupled with the semi-analytical …

The perfectly matched layer absorbing boundary condition has proven to be very efficient for
the elastic wave equation written as a first-order system in velocity and stress. We …

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

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

A nonconvolutional, split-field, perfectly matched layer, referred to as the multiaxial perfectly
matched layer (M-PML), is proposed and implemented. The new formulation is obtained by …