6 papers
Strongly imposing the free surface boundary condition for wave equations with finite difference operators
Longfei Gao
Acoustic and elastic wave equations are routinely used in geophysical and engineering studies to simulate the propagation of waves, with a broad range of applications, including se…
Nonuniform 3D finite difference elastic wave simulation on staggered grids
Longfei Gao, Omar Ghattas, David Keyes
We present an approach to simulate the 3D isotropic elastic wave propagation using nonuniform finite difference discretization on staggered grids. Specifically, we consider simulat…
Explicit coupling of acoustic and elastic wave propagation in finite difference simulations
Longfei Gao, David Keyes
We present a mechanism to explicitly couple the finite-difference discretizations of 2D acoustic and isotropic elastic wave systems that are separated by straight interfaces. Such…
Simultaneous approximation terms for elastic wave equations on nonuniform grids
Longfei Gao, David Keyes
We consider the finite difference discretization of isotropic elastic wave equations on nonuniform grids. The intended applications are seismic studies, where heterogeneity of the…
Combining finite element and finite difference methods for isotropic elastic wave simulations in an energy-conserving manner
Longfei Gao, David Keyes
We consider numerical simulation of the isotropic elastic wave equations arising from seismic applications with non-trivial land topography. The more flexible finite element method…
SBP-SAT finite difference discretization of acoustic wave equations on staggered block-wise uniform grids
Longfei Gao, David C. Del Rey Fernandez, Mark Carpenter +1
We consider the numerical simulation of the acoustic wave equations arising from seismic applications, for which staggered grid finite difference methods are popular choices due to…