We have developed an efficient computational framework for simulating multiple earthquake
cycles with off-fault plasticity. The method is developed for the classical antiplane problem of …

High-order accurate first derivative finite difference operators are derived that naturally
introduce artificial dissipation. The boundary closures are based on the diagonal-norm …

We devise hybrid high-order (HHO) methods for the acoustic wave equation in the time
domain. We first consider the second-order formulation in time. Using the Newmark scheme …

We use high order finite difference methods to solve the wave equation in the second order
form. The spatial discretization is performed by finite difference operators satisfying a …

We consider fourth order accurate compact schemes, in both space and time, for the second
order wave equation with a variable speed of sound. We demonstrate that usually this is …

When using a finite difference method to solve a time dependent partial differential equation,
the truncation error is often larger at a few grid points near a boundary or grid interface than …

The spectral element method constructed by the Q^k (k≧2) continuous finite element
method with (k+1)-point Gauss--Lobatto quadrature on rectangular meshes is a popular high …

It is well-known that reliable and efficient domain truncation is crucial to accurate numerical
solution of most wave propagation problems. The perfectly matched layer (PML) is a method …

The Laplacian appears in several partial differential equations used to model wave
propagation. Summation-by-parts–simultaneous approximation term (SBP-SAT) finite …

Strictly stable high-order accurate finite difference approximations are derived, for linear
initial boundary value problems. The boundary closures are based on the diagonal-norm …