Overview
Recent developments in DUNE (Distributed and Unified Numerics Environment) - a modular toolbox for solving partial differential equations with grid-based methods
Including interesting applications from nano-optics to biomechanics
Outcome of the DUNE User Meeting, held 6.-8.10.2010, in Stuttgart, Germany
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Table of contents (13 papers)
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Front Matter
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Core DUNE Extensions
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Front Matter
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Specific Methods and Applications
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Front Matter
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Back Matter
Keywords
About this book
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.
Editors and Affiliations
Bibliographic Information
Book Title: Advances in DUNE
Book Subtitle: Proceedings of the DUNE User Meeting, Held in October 6th–8th 2010 in Stuttgart, Germany
Editors: Andreas Dedner, Bernd Flemisch, Robert Klöfkorn
DOI: https://doi.org/10.1007/978-3-642-28589-9
Publisher: Springer Berlin, Heidelberg
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2012
Hardcover ISBN: 978-3-642-28588-2Published: 23 April 2012
Softcover ISBN: 978-3-642-43757-1Published: 09 May 2014
eBook ISBN: 978-3-642-28589-9Published: 23 April 2012
Edition Number: 1
Number of Pages: XII, 184
Topics: Mathematical and Computational Engineering, Partial Differential Equations, Numerical Analysis