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Title Advances in DUNE : proceedings of the DUNE User Meeting, held in October 6th-8th 2010 in Stuttgart, Germany / Andreas Dedner, Bernd Flemisch, and Robert Kölfkorn (eds.)
Published Berlin ; New York : Springer, [2012]
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Description 1 online resource (xii, 184 pages)
Contents Part 1. Core DUNE Extensions -- Construction of Local Finite Element Spaces Using the Generic Reference Elements / Andreas Dedner and Martin Nolte -- Dune-Fem: A General Purpose Discretization Toolbox for Parallel and Adaptive Scientific Computing / Andreas Dedner, Robert Klöfkorn, Martin Nolte and Mario Ohlberger -- The Dune-PrismGrid Module / Christoph Gersbacher -- Performance Pitfalls in the Dune Grid Interface / Robert Klöfkorn and Martin Nolte -- Dune-Multidomaingrid: A Metagrid Approach to Subdomain Modeling / Steffen Müthing and Peter Bastian -- Part 2. External DUNE Modules -- A Software Framework for Reduced Basis Methods Using Dune-RB and RBmatlab / Martin Drohmann, Bernard Haasdonk, Sven Kaulmann and Mario Ohlberger -- Dune-UDG: A Cut-Cell Framework for Unfitted Discontinuous Galerkin Methods / Christian Engwer and Felix Heimann -- Solving Optimal Control Problems with the Kaskade 7 Finite Element Toolbox / Sebastian Götschel, Martin Weiser and Anton Schiela -- The DuMux Material Law Framework / Andreas Lauser -- Part 3. Specific Methods and Applications -- Using Dune-PDELab for Two-Phase Flow in Porous Media / Christoph Grüninger -- On the Implementation of a Heterogeneous Multi-scale Finite Element Method for Nonlinear Elliptic Problems / Patrick Henning and Mario Ohlberger -- On the Analysis of Porous Media Dynamics Using a Dune-PANDAS Interface / Maik Schenke and Wolfgang Ehlers -- An Implementation of Hybrid Discontinuous Galerkin Methods in Dune / Christian Waluga and Herbert Egger
Summary 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
Analysis Engineering
Differential equations, partial
Numerical analysis
Engineering mathematics
Appl. Mathematics/Computational Methods of Engineering
Partial Differential Equations
Bibliography Includes bibliographical references and indexes
Subject Differential equations, Partial -- Data processing -- Congresses.
Genre/Form Conference papers and proceedings.
Conference papers and proceedings.
Form Electronic book
Author Dedner, Andreas
Flemisch, Bernd
Kölfkorn, Robert
ISBN 3642285899 (electronic bk.)
9783642285899 (electronic bk.)