Oberseminar Mathematical Fluid Dynamics (Zoom)

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-viscous wave theory usually describes the
attenuation of seismic wave propagating in fluid-saturated medium. In this talk, we focus on the design of
numerical methods for the diffusive-viscous wave equations with variable coefficients.
We develop a local discontinuous Galerkin (LDG) method, in which numerical fluxes are chosen carefully to
maintain stability and accuracy. Moreover, we also prove the optimal error estimates for both the energy
norm and the L2 norm. Numerical experiments are provided to demonstrate the optimal convergence rate and
effectiveness of the proposed LDG method.
This is joint work among others with Chi-Wang Shu.