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The DUNE Framework: Basic Concepts and Recent DevelopmentsOpen Access

Bastian P, Blatt M, Dedner A, Dreier N, Engwer C, Fritze R, Gräser C, Kempf D, Klöfkorn R, Ohlberger M, Sander O

Research article (journal) | Peer reviewed

Abstract

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 Bastian etal. (2008a, 2008b). 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.

Details about the publication

Journal: Computers & Mathematics with Applications
Volume: 81
Page range: 75-112
Status: Published
Release year: 2021
Language in which the publication is written: English
DOI: 10.1016/j.camwa.2020.06.007
Link to the full text: https://doi.org/10.1016/j.camwa.2020.06.007
Keywords: Computer Science; Mathematical Software; Computer Science; Distributed; Parallel; and Cluster Computing; 76S05; 68N01

Authors from the University of Münster

Dreier, Nils-Arne
Professorship for Applications of Partial Differential Equations
Engwer, Christian
Professorship for Applications of Partial Differential Equations
Center for Nonlinear Science
Fritze, René
Professorship of Applied Mathematics, especially Numerics (Prof. Ohlberger)
Ohlberger, Mario
Professorship of Applied Mathematics, especially Numerics (Prof. Ohlberger)
Center for Nonlinear Science
Center for Multiscale Theory and Computation (CMTC)

Projects the publication originates from

Cluster of Excellence 2044 - Mathematics Münster: Dynamics – Geometry – Structure (EXC 2044)
Duration: 01/01/2019 - 31/12/2025 | 1st Funding period
Funded by: DFG - Cluster of Excellence
Type of project: Main DFG-project hosted at University of Münster
EXC 2044 - C2: Multi-scale phenomena and macroscopic structures
Duration: 01/01/2019 - 31/12/2025 | 1st Funding period
Funded by: DFG - Cluster of Excellence
Type of project: Subproject in DFG-joint project hosted at University of Münster
SPP 1648 - Subproject: EXA-DUNE - Flexible PDE Solvers, Numerical Methods, and Applications (EXA-DUNE)
Duration: 12/10/2015 - 31/12/2018 | 2nd Funding period
Funded by: DFG - Priority Programme
Type of project: Subproject in DFG-joint project hosted outside University of Münster