Compact 2D and 3D sixth order schemes for the Helmholtz equation with variable wave number
Several studies have presented compact fourth order accurate finite difference
approximation for the Helmholtz equation in two or three dimensions. Several of these …
approximation for the Helmholtz equation in two or three dimensions. Several of these …
A spectrally accurate direct solution technique for frequency-domain scattering problems with variable media
This paper presents a direct solution technique for the scattering of time-harmonic waves
from a bounded region of the plane in which the wavenumber varies smoothly in space. The …
from a bounded region of the plane in which the wavenumber varies smoothly in space. The …
2D and 3D frequency-domain elastic wave modeling in complex media with a parallel iterative solver
Full-waveform inversion and reverse time migration rely on an efficient forward-modeling
approach. Current 3D large-scale frequency-domain implementations of these techniques …
approach. Current 3D large-scale frequency-domain implementations of these techniques …
[HTML][HTML] An optimal compact sixth-order finite difference scheme for the Helmholtz equation
T Wu, R Xu - Computers & Mathematics with Applications, 2018 - Elsevier
In this paper, we present an optimal compact finite difference scheme for solving the 2D
Helmholtz equation. A convergence analysis is given to show that the scheme is sixth-order …
Helmholtz equation. A convergence analysis is given to show that the scheme is sixth-order …
The method of difference potentials for the Helmholtz equation using compact high order schemes
The method of difference potentials was originally proposed by Ryaben'kii and can be
interpreted as a generalized discrete version of the method of Calderon's operators in the …
interpreted as a generalized discrete version of the method of Calderon's operators in the …
A high order compact time/space finite difference scheme for the wave equation with variable speed of sound
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 …
order wave equation with a variable speed of sound. We demonstrate that usually this is …
A highly accurate finite-difference method with minimum dispersion error for solving the Helmholtz equation
Z Wu, T Alkhalifah - Journal of Computational Physics, 2018 - Elsevier
Numerical simulation of the acoustic wave equation in either isotropic or anisotropic media
is crucial to seismic modeling, imaging and inversion. Actually, it represents the core …
is crucial to seismic modeling, imaging and inversion. Actually, it represents the core …
An inverse Lax-Wendroff procedure for hyperbolic conservation laws with changing wind direction on the boundary
In this paper, we reconsider the inverse Lax-Wendroff (ILW) procedure, which is a numerical
boundary treatment for solving hyperbolic conservation laws, and propose a new approach …
boundary treatment for solving hyperbolic conservation laws, and propose a new approach …
[图书][B] Computational methods for nanoscale applications
I Tsukerman - 2008 - Springer
The purpose of this note… is to sort out my own thoughts… and to solicit ideas from others.
Lloyd N. Trefethen Three mysteries of Gaussian elimination Since 2008, when the first …
Lloyd N. Trefethen Three mysteries of Gaussian elimination Since 2008, when the first …
Compact high order accurate schemes for the three dimensional wave equation
We construct a family of compact fourth order accurate finite difference schemes for the three
dimensional scalar wave (d'Alembert) equation with constant or variable propagation speed …
dimensional scalar wave (d'Alembert) equation with constant or variable propagation speed …