Full-waveform inversion is an important and widely used method to reconstruct subsurface
velocity images. Waveform inversion is a typical nonlinear and ill-posed inverse problem …

Subsurface velocities within the Earth often contain piecewise-constant structures with sharp
interfaces. Acoustic-and elastic-waveform inversion (AEWI) usually produces smoothed …

有限差分方法因其操作简单, 计算消耗低而成为地震勘探领域中最为常用的数值模拟方法之一,
然而用离散的显式差分算子数值逼近地震波动方程中的连续导数容易导致数值频散 …

High-order staggered-grid finite-difference (SFD) schemes are preferred in elastic wave
simulation for geophysical problems because they decrease the accumulation of error from …

The 2-D acoustic wave equation is commonly solved numerically by finite-difference (FD)
methods in which the accuracy of solution is significantly affected by the FD stencils. The …

The traditional high-order staggered-grid finite-difference (SGFD) method has high-order
accuracy in space, but only the second-order accuracy in time, which makes the traditional …

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 …

We have developed a mixed-grid finite element method (MGFEM) to simulate seismic wave
propagation in 2D structurally complex media. This method divides the physical domain into …

In this paper, a novel spatial-temporal radial Trefftz collocation method (STRTCM) is
proposed to solve 2D and 3D backward heat conduction equations with time-dependent …

The traditional high-order finite-difference (FD) methods approximate the spatial derivatives
to arbitrary even-order accuracy, whereas the time discretization is still of second-order …