The DUNE Framework: Basic Concepts and Recent Developments

Autor: René Fritze, Christoph Grüninger, Mario Ohlberger, Oliver Sander, Peter Bastian, Dominic Kempf, Andreas Dedner, Christian Engwer, Nils-Arne Dreier, Carsten Gräser, Robert Klöfkorn, Markus Blatt
Rok vydání: 2019
Předmět:
FOS: Computer and information sciences
finite-element-method
010103 numerical & computational mathematics
elliptic problems
01 natural sciences
error control
QA76
Multigrid method
Development (topology)
multiscale method
76S05
68N01
0101 mathematics
High order
000 Informatik
Informationswissenschaft
allgemeine Werke::000 Informatik
Wissen
Systeme::004 Datenverarbeitung
Informatik
QA
Adaptation (computer science)
Mathematics
Structure (mathematical logic)
Computational mathematics
multigrid methods
Grid
010101 applied mathematics
Computational Mathematics
discontinuous Galerkin methods
generic grid interface
Computer Science - Distributed
Parallel
and Cluster Computing
Computational Theory and Mathematics
atmospheric flow
Modeling and Simulation
Systems engineering
Computer Science - Mathematical Software
Distributed
Parallel
and Cluster Computing (cs.DC)
Node level
Mathematical Software (cs.MS)
ISSN: 0898-1221
DOI: 10.48550/arxiv.1909.13672
Popis: This paper presents the basic concepts and the module structure of the Distributed and Unified Numerics Environment and reflects on recent developments and general changes that happened since the release of the first Dune version in 2007 and the main papers describing that state [1, 2]. This discussion is accompanied with a description of various advanced features, such as coupling of domains and cut cells, grid modifications such as adaptation and moving domains, high order discretizations and node level performance, non-smooth multigrid methods, and multiscale methods. A brief discussion on current and future development directions of the framework concludes the paper.
Comment: 69 pages, 14 figures, 4 tables and various code examples
Databáze: OpenAIRE
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