These lecture notes are devoted to an overview of the modelling and the numerical analysis of surface waves in two-component saturated poroelastic media. This is an extension to the part of the lecture notes by K. Wilmanski ...

The motivation to our studies came from simulation of earth-quakes, that are modeled with elastic wave equations. In our paper we focus on the study of the stiff problems for the wave-equations. Due to this contribution ...

Stochastic models and Monte Carlo algorithms for simulation of flow through porous media beyond the small hydraulic conductivity fluctuation assumptions are developed. The hydraulic conductivity is modelled as an isotropic ...

Stochastic earthquake models are often based on a marked point process approach as for instance presented in Vere-Jones (1995). This gives a fine resolution both in space and time making it possible to represent each ...

Motivated by seismological problems we have studied a 4th order split scheme for the elastic wave equation. We split in the spatial directions and obtain locally one-dimensional systems to be solved. We have analyzed the ...