Dams are critical infra-structures whose their failure could leads to high economic and social
consequences. For this reason, application of quantitative risk analysis has gained …

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 …

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 …

Finite Element models for simulating wave propagation and scattering from defects are vital
for ultrasonic methods in NDE. This article addresses methods to dramatically enhance …

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 …

We present the main properties of the spectral-element method, which is well suited for
numerical calculations of synthetic seismograms for three-dimensional Earth models. The …

The focus of this paper is on application of peridynamics (PD) to propagation of elastic
waves in unbounded domains. We construct absorbing boundary conditions (ABCs) derived …

Perfectly matched layers (PMLs) provide an exponential decay, independent of the
frequency, of any propagating field along an assigned direction without producing spurious …

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 …