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

Advances in DUNE: Proceedings of the DUNE User Meeting, Held in October 6th–8th 2010 in Stuttgart, Germany
Kataloginformation
Feldname Details
Vorliegende Sprache eng
Hinweise auf parallele Ausgaben 36715871X Buchausg. u.d.T.: ‡Advances in DUNE
ISBN 978-3-642-28588-2
Name Dedner, Andreas
Flemisch, Bernd
ANZEIGE DER KETTE Flemisch, Bernd
Name Klöfkorn, Robert
T I T E L Advances in DUNE
Zusatz zum Titel Proceedings of the DUNE User Meeting, Held in October 6th–8th 2010 in Stuttgart, Germany
Verlagsort Berlin, Heidelberg
Verlag Springer Berlin Heidelberg
Erscheinungsjahr 2012
2012
Umfang Online-Ressource (XII, 184p. 48 illus., 19 illus. in color, digital)
Reihe SpringerLink. Bücher
Notiz / Fußnoten Description based upon print version of record
Weiterer Inhalt Title; Preface; Contents; Part ICore DUNE Extensions; Construction of Local Finite Element SpacesUsing the Generic Reference Elements; Introduction; Construction of Local Finite Elements; The Generic Reference Elements; The Pre Basis; The Local Finite Element Implementation; Examples; Numerical Examples; Conclusion; References; DUNE-FEM: A General Purpose DiscretizationToolbox for Parallel and Adaptive Scientific Computing; Introduction; Abstraction Principles and Interface Classes; Mathematical Framework; Abstraction and Interface Classes; Practical Aspects and Code Snippets. PDEs on SurfacesPoisson's Equation; Burger's Equation; The Compressible Navier-Stokes Equations; References; The DUNE-PRISMGRID Module; Introduction; General Framework; DUNE-GRID Basics; Generic Reference Elements; Prismatic Grid; UsingDUNE-PRISM GRID; PrismGrid Construction; Iterators; Determining the Reference Element; Grid Refinement; Access to Host Grid and Host Grid Entities; Numerical Results; Performance in an Explicit Finite-Volume Scheme; Application to Free-Surface Flows; Conclusion; References; Performance Pitfalls in the DUNE Grid Interface; Introduction; Common Pitfalls. Performance of Cartesian GridsImplementing a Fast, Structured Grid: SPGrid; Comparing Performance of Different Grid Implementations; Performance Overhead of Meta Grids; Minimal Overhead for Meta Grids; Comparing the Performance of IdGridand IdentityGrid; Performance of Adaptive Simulations; Comparison of Adaptive Grids in DUNE; Efficiency of the Interface in Parallel Adaptive Simulations; Conclusions; References; DUNE-MULTIDOMAINGRID: A MetagridApproach to Subdomain Modeling; Introduction; Using MultiDomainGrid; Meta Grids; Overview; Grid Creation; Subdomain Setup; Subdomain Usage. Subdomain Interface ExtractionImplementation; Design; Storage Backends; Efficiency; Applications; DUNE-MULTIDOMAIN; Conclusions and Outlook; References; Part IIExternal DUNE Modules; A Software Framework for Reduced Basis Methods Using DUNE-RB and RBMATLAB; Introduction; Reduced Basis Method; Software Concept; RBMATLAB; DUNE-RB; Example: Linear Evolution Equation; Finite-Volume Discretization; Implementation; Results; Conclusion and Outlook; References; DUNE-UDG: A Cut-Cell Frameworkfor Unfitted Discontinuous Galerkin Methods; Introduction; Concepts; The Unfitted Discontinuous Galerkin Method. The Cut-Cell MeshImplementation; VirtualSubTriangulation; Integration Parts; Applications; Pore-Scale Stokes; Incompressible Flow of Two Immiscible Fluids; References; Solving Optimal Control Problemswith the KASKADE 7 Finite Element Toolbox; Introduction; KASKADE 7 Structure and Implementation; Finite Element Spaces; Problem Formulation; Assembly; Adaptivity; Time-Dependent Problems; Nonlinear Solvers; State Trajectory Compression; A Lossy Compression Algorithm; Implementation; References; The DuMux Material Law Framework; Introduction. Multi-phase, Multi-component Flow and Transport in PorousMedia
Titelhinweis Buchausg. u.d.T.: ‡Advances in DUNE
ISBN ISBN 978-3-642-28589-9
Klassifikation TBJ
MAT003000
519
518.64
515.353
515.353
TA329-348
TA640-643
SK 540
Kurzbeschreibung 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
1. Schlagwortkette Partielle Differentialgleichung
Numerisches Gitter
Open Source
Kongress
ANZEIGE DER KETTE Partielle Differentialgleichung -- Numerisches Gitter -- Open Source -- Kongress
SWB-Titel-Idn 365268518
Signatur Springer E-Book
Bemerkungen Elektronischer Volltext - Campuslizenz
Elektronische Adresse $uhttp://dx.doi.org/10.1007/978-3-642-28589-9
Internetseite / Link Volltext
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