Advances in DUNE

Proceedings of the DUNE User Meeting, Held in October 6th–8th 2010 in Stuttgart, Germany

  • Andreas Dedner
  • Bernd Flemisch
  • Robert Klöfkorn

Table of contents

  1. Front Matter
    Pages 1-11
  2. Core DUNE Extensions

    1. Front Matter
      Pages 1-1
    2. Andreas Dedner, Robert Klöfkorn, Martin Nolte, Mario Ohlberger
      Pages 17-31
    3. Christoph Gersbacher
      Pages 33-44
    4. Robert Klöfkorn, Martin Nolte
      Pages 45-58
    5. Steffen Müthing, Peter Bastian
      Pages 59-73
  3. External DUNE Modules

    1. Front Matter
      Pages 75-75
    2. Martin Drohmann, Bernard Haasdonk, Sven Kaulmann, Mario Ohlberger
      Pages 77-88
    3. Sebastian Götschel, Martin Weiser, Anton Schiela
      Pages 101-112
    4. Andreas Lauser
      Pages 113-128
  4. Specific Methods and Applications

    1. Front Matter
      Pages 129-129
    2. Christoph Grüninger
      Pages 131-141
    3. Christian Waluga, Herbert Egger
      Pages 169-180
  5. Back Matter
    Pages 0--1

About these proceedings

Introduction

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.

Keywords

DUNE Distributed and Unified Numerics Environment

Editors and affiliations

  • Andreas Dedner
    • 1
  • Bernd Flemisch
    • 2
  • Robert Klöfkorn
    • 3
  1. 1., Mathematics InstituteUniversity of WarwickCoventryUnited Kingdom
  2. 2., Institut für Wasser- undUniversität StuttgartStuttgartGermany
  3. 3., Institut für Angewandte Analysis undUniversität StuttgartFreiburgGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-28589-9
  • Copyright Information Springer-Verlag Berlin Heidelberg 2012
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-642-28588-2
  • Online ISBN 978-3-642-28589-9
  • About this book