We review key ingredients that are needed for high-fidelity simulation of earthquake-
generated seismic waves in large regions. Specifically, we survey existing literature on wave …

Two decades ago when we wrote Spectral Methods in Fluid Dynamics (1988), the subject
was still fairly novel. Motivated by the many favorable comments we have received and the …

We present a discontinuous Galerkin finite-element method (DG-FEM) formulation with
Convolutional Perfectly Matched Layer (CPML) absorbing boundary condition for 3-D elastic …

An important goal of computational seismology is to simulate dynamic earthquake rupture
and strong ground motion in realistic models that include crustal heterogeneities and …

The numerical modeling of mechanical waves is currently a fundamental tool for the study
and investigation of their propagation in media with heterogeneous physical properties …

We propose a numerical method (implemented in Matlab) for computing approximate Fekete
points on compact multivariate domains. It relies on the search of maximum volume …

Staggered-grid finite-difference (SFD) methods are widely used in modeling seismic-wave
propagation, and the coefficients of finite-difference (FD) operators can be estimated by …

The computational accuracy and efficiency of finite element method and spectral element
method (SEM) are investigated thoroughly in time-domain elastic wavefield modeling. The …

GEOMETRIC WEAKLY ADMISSIBLE MESHES, DISCRETE LEAST SQUARES
APPROXIMATIONS AND APPROXIMATE FEKETE POINTS 1. Introduction In a rec Page 1 …

In this paper we present a 3-D dispersion and dissipation analysis for both the semi-discrete
and the fully discrete approximation of the elastodynamics equation based on the plane …