The book focuses on stability and approximation results concerning recent numerical
methods for the numerical solution of hyperbolic conservation laws. The work begins with a …

The diffusive-viscous wave (DVW) equation is an effective model for analyzing seismic low-
frequency anomalies and attenuation in porous media. To effectively simulate DVW …

This paper develops and analyzes the discontinuous Galerkin method for the diffusive-
viscous wave equation. The proposed numerical scheme is established by using the …

Seismic numerical modelling involved in each stage of seismic exploration process is aimed
at predicting seismograms in an assumed subsurface medium. The energies and phases of …

For the mineral exploration in complex terrain areas, the semi-airborne transient
electromagnetic (SATEM) technology is one of the most powerful methods due to its high …

The diffusive-viscous wave equation arises in a variety of applications in geophysics, and it
plays an important role in seismic exploration. In this paper, semi-discrete and fully discrete …

Numerical simulation of seismic wave equations has attracted much attention and plays a
significant role in exploration seismology. As one of seismic wave models, the diffusive …

The diffusive-viscous wave equation arises in a variety of applications in geophysics such as
the attenuation of seismic waves propagating in fluid-saturated solids, and frequency …

In this study, we design and analyze weak Galerkin finite element methods to approximate
diffusive viscus wave equations with variable coefficients on polygonal meshes. The …

Seismic wave equations based on numerical simulation have become effective tools in
geological exploration. Considering the frequency dependence of reflections and fluid …