000 03811nam a22004935i 4500
001 978-3-642-28589-9
003 DE-He213
005 20140220083313.0
007 cr nn 008mamaa
008 120420s2012 gw | s |||| 0|eng d
020 _a9783642285899
_9978-3-642-28589-9
024 7 _a10.1007/978-3-642-28589-9
_2doi
050 4 _aTA329-348
050 4 _aTA640-643
072 7 _aTBJ
_2bicssc
072 7 _aMAT003000
_2bisacsh
082 0 4 _a519
_223
100 1 _aDedner, Andreas.
_eeditor.
245 1 0 _aAdvances in DUNE
_h[electronic resource] :
_bProceedings of the DUNE User Meeting, Held in October 6th–8th 2010 in Stuttgart, Germany /
_cedited by Andreas Dedner, Bernd Flemisch, Robert Klöfkorn.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2012.
300 _aXII, 184p. 48 illus., 19 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aConstruction of Local Finite Element Spaces Using the Generic Reference Elements -- DUNE-FEM. A General Purpose Discretization Toolbox for Parallel and Adaptive Scientific Computing -- The DUNE-PRISMGRID Module -- Performance Pitfalls in the DUNE Grid Interface -- DUNE-MULTIDOMAINGRID: A Metagrid Approach to Subdomain Modeling -- A Software Framework for Reduced Basis Methods using DUNE-RB and RBMATLAB -- DUNE-UDG: A Cut-Cell Framework for Unfitted Discontinuous Galerkin Methods -- Solving Optimal Control Problems with the KASKADE 7 Finite Element Toolbox -- The DuMux Material Law Framework -- Using DUNE-PDELAB for Two-phase Flow in PorousMedia -- On the Implementation of a HeterogeneousMulti-scale Finite Element Method for Nonlinear Elliptic Problems -- On the Analysis of Porous Media Dynamics using a DUNE-PANDAS Interface -- An Implementation of Hybrid Discontinuous Galerkin Methods in DUNE.
520 _aDUNE, 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.
650 0 _aEngineering.
650 0 _aDifferential equations, partial.
650 0 _aNumerical analysis.
650 0 _aEngineering mathematics.
650 1 4 _aEngineering.
650 2 4 _aAppl.Mathematics/Computational Methods of Engineering.
650 2 4 _aPartial Differential Equations.
650 2 4 _aNumerical Analysis.
700 1 _aFlemisch, Bernd.
_eeditor.
700 1 _aKlöfkorn, Robert.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642285882
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-28589-9
912 _aZDB-2-ENG
999 _c102843
_d102843