Higher order adaptive and parallel simulations including dynamic load balancing with the software package DUNE

In this paper we describe the recent development of the interface library Dune and in particular the module Dune-Fem. We demonstrate that the development of the software package Dune and in particular the module Dune-Fem has reached a state where Dune and Dune-Fem can be used for efficient parallel simulations including higher order discretizations and techniques like local grid adaptivity in combination with dynamic load balancing. This is shown by test problems reaching from academical up to more sophisticated problems