Seismic waves are produced whenever a large amount of
energy is released under the surface of the Earth,
for example when earthquakes occur.
Such waves are perturbed by the heterogeneities they
find in their travel through the subsurface, from
hypocenter to seismometer.
In the last decades, the increase in computational
power has made it possible to simulate the
propagation of seismic waves in fully 3D
heterogeneous media. However, the subsoil often
displays very complicated geometrical structures
which are difficult to nest by nowadays simulation
The ADER-DG (Arbitrary high-order DERivatives
Discontinuous Galerkin) method provides the means to
better represent subsoil geological structures using
tetrahedral meshes. Such meshes can be easily
deformed and adapted to very complicated geometries
such as folded layers, faults and shallow basins.
In this book the ADER-DG method is developed for
problems of elastodynamics and further extended to
accommodate anisotropic, viscoelastic and poroelastic
For all cases examples are provided to verify the
fast convergence properties and to show the precision
of the synthetic seismograms computed.