Advances in DUNE
Proceedings of the DUNE User Meeting, Held in October 6th–8th 2010 in Stuttgart, Germany
Editors: Dedner, Andreas, Flemisch, Bernd, Klöfkorn, Robert (Eds.)
Free Preview- 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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- 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.
- Table of contents (13 chapters)
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Construction of Local Finite Element Spaces Using the Generic Reference Elements
Pages 3-16
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Dune-Fem: A General Purpose Discretization Toolbox for Parallel and Adaptive Scientific Computing
Pages 17-31
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The Dune-PrismGrid Module
Pages 33-44
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Performance Pitfalls in the Dune Grid Interface
Pages 45-58
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Dune-Multidomaingrid: A Metagrid Approach to Subdomain Modeling
Pages 59-73
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Table of contents (13 chapters)
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Bibliographic Information
- 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
- Copyright
- 2012
- Publisher
- Springer-Verlag Berlin Heidelberg
- Copyright Holder
- Springer-Verlag Berlin Heidelberg
- eBook ISBN
- 978-3-642-28589-9
- DOI
- 10.1007/978-3-642-28589-9
- Hardcover ISBN
- 978-3-642-28588-2
- Softcover ISBN
- 978-3-642-43757-1
- Edition Number
- 1
- Number of Pages
- XII, 184
- Topics
