For solving time-dependent convection-dominated partial differential equations (PDEs),
which arise frequently in computational physics, high order numerical methods, including …

The classical complex-frequency-shifted perfectly matched layer (CFS-PML) technique has
attracted widespread attention for seismic wave simulations. However, few studies have …

Poroelastic wave equations incorporating fluid information have been paid much attention
to, however, the conventional perfectly matched layer (PML) scheme fails to absorb …

In this work, we present the numerical dispersion and dissipation analyses of the triangle-
based discontinuous Galerkin method (DGM) for acoustic and elastic velocity-stress …

Using a structure-preserving algorithm significantly increases the computational efficiency of
solving wave equations. However, only a few explicit symplectic schemes are available in …

The standard-linear-solid (SLS) theory works well for viscoelasticity. However, the coupling
of amplitude dissipation and phase dispersion makes it impossible to investigate their effects …

In the field of geophysics, the Helmholtz decomposition (HD) formula is mainly numerically
discretized by the finite difference method (FDM), which limits its application to a uniform …

间断有限元(Discontinuous Galerkin: DG) 方法具有低数值频散, 网格剖分灵活,
能模拟地震波在复杂介质中传播等优点. 因此, 本文将一种新的DG 方法推广到双相和黏弹性等 …

In this paper, we derive a new poroelastic wave equation in triple-porosity media and
develop a weighted Runge-Kutta (RK) discontinuous Galerkin method (DGM) for solving it …

Numerical simulation in coupled elastic and poroelastic media is important in oil and gas
exploration. However, the interface between elastic and poroelastic media is a challenge to …