The goal of the group is to develop methods for adaptive
refinement and coarsening of grids and selection of time steps for numerical solution
of hyperbolic partial differential equations. Both time-dependent
and steady state problems are studied. The adaptivity is based
on estimates of the numerical error in space and time. The main
area of application is fluid dynamics, but also the equations of
electromagnetics and acoustics are considered.
In an effort to reduce the computational time further, different
ways of accelerating the convergence to the steady state are
developed such as the multigrid method and optimal choices of
parameters in the methods.