DUNE, the Distributed and Unified
Numerics Environment, is an open-source modular toolbox
for solving partial differential equations with grid-based
methods.
This book covers recent advances in the development
and usage of DUNE.
It consists of a collection of 13 articles which mainly evolved
from talks given at the First DUNE User Meeting in Stuttgart,
Germany, 6.-8.10.2010.
The articles nicely illustrate the advanced capabilities and the
strong versatility of the DUNE framework. The first part presents
extensions of the DUNE core modules, including the construction of
local finite element spaces, a discretization toolbox, and two
meta-grids,
as well as a discussion of performance pitfalls. The second part
introduces several external DUNE modules dealing with, e.g.,
reduced basis methods, unfitted discontinuous Galerkin methods,
optimal control problems, and porous media applications.
Specific methods and applications are subject of the third
part,
ranging from two-phase flow in porous media over the implementation
of hybrid discontinuous Galerkin and heterogeneous multi-scale
methods up to the coupling of DUNE with an existing finite element
package."
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