DUNE swMATH ID: 1466 Software Authors: P. Bastian, M. Blatt, A. Dedner, C. Engwer, R. Klöfkorn, R. Kornhuber, M. Ohlberger, O. Sander Description: DUNE, the Distributed and Unified Numerics Environment is a modular toolbox for solving partial differential equations (PDEs) with grid-based methods. It supports the easy implementation of methods like Finite Elements (FE), Finite Volumes (FV), and also Finite Differences (FD).DUNE is free software licensed under the GPL (version 2) with a so called ”runtime exception” (see license). This licence is similar to the one under which the libstdc++ libraries are distributed. Thus it is possible to use DUNE even in proprietary software.The underlying idea of DUNE is to create slim interfaces allowing an efficient use of legacy and/or new libraries. Modern C++ programming techniques enable very different implementations of the same concept (i.e. grids, solvers, ...) using a common interface at a very low overhead. Thus DUNE ensures efficiency in scientific computations and supports high-performance computing applications. Homepage: https://www.dune-project.org Programming Languages: C++ Operating Systems: Linux Keywords: arXiv_cs.MS; Cluster Computing; arXiv_cs.DC; PDEs; grid-based; numerical methods; PDE solver Related Software: deal.ii; PDELab; DuMuX; UG; FEniCS; PETSc; Gmsh; ISTL; UMFPACK; DUNE-ALUGrid; DUNE-FEM; ALUGrid; Python; FreeFem++; ALBERTA; VTK; NGSolve; Firedrake; DOLFIN; Kaskade7 Cited in: 191 Documents Standard Articles 3 Publications describing the Software, including 2 Publications in zbMATH Year The DUNE Framework: Basic Concepts and Recent Developments arXiv Peter Bastian, Markus Blatt, Andreas Dedner, Nils-Arne Dreier, Christian Engwer, René Fritze, Carsten Gräser, Christoph Grüninger, Dominic Kempf, Robert Klöfkorn, Mario Ohlberger, Oliver Sander 2019 A generic grid interface for parallel and adaptive scientific computing. II: Implementation and tests in DUNE. Zbl 1151.65088Bastian, P.; Blatt, M.; Dedner, A.; Engwer, C.; Klöfkorn, R.; Kornhuber, R.; Ohlberger, M.; Sander, O. 2008 A generic grid interface for parallel and adaptive scientific computing. I: Abstract framework. Zbl 1151.65089Bastian, P.; Blatt, M.; Dedner, A.; Engwer, C.; Klöfkorn, R.; Ohlberger, M.; Sander, O. 2008 all top 5 Cited by 362 Authors 21 Engwer, Christian 18 Ohlberger, Mario 17 Sander, Oliver 16 Bastian, Peter 12 Chamakuri, Nagaiah 12 Dedner, Andreas S. 12 Klöfkorn, Robert 10 Helmig, Rainer 9 Kunisch, Karl 9 Schiela, Anton 7 Flemisch, Bernd 7 Kornhuber, Ralf 7 Wohlmuth, Barbara I. 6 Blatt, Markus 6 Surulescu, Christina 5 Henning, Patrick 5 Müthing, Steffen 5 Nagaiah, Chamakuri 4 Ahusborde, Etienne 4 Berninger, Heiko 4 Burbulla, Samuel 4 Class, Holger 4 Plank, Gernot 4 Rohde, Christian 4 Scheichl, Robert 4 Schneider, Martin 4 Weiser, Martin 3 Amaziane, Brahim 3 Both, Jakub Wiktor 3 Elliott, Charles M. 3 Fahlke, Jorrit 3 Gräser, Carsten 3 Haasdonk, Bernard 3 Herbert, Philip J. 3 Ippisch, Olaf 3 Nordbotten, Jan Martin 3 Nürnberg, Robert 3 Nüßing, Andreas 3 Rave, Stephan David 3 Schindler, Felix 3 Verfürth, Barbara 3 Wieners, Christian 2 Beck, Martin 2 Becker, Beatrix 2 Bendahmane, Mostafa 2 Coltman, Edward 2 Deuflhard, Peter 2 Dodwell, Tim J. 2 Dreier, Nils-Arne 2 Giraldo, Francis X. 2 Gläser, Dennis 2 Göddeke, Dominik 2 Götschel, Sebastian 2 Grüninger, Christoph 2 Gupta, Shubhangi 2 Ham, David A. 2 Hinze, Michael 2 Huber, Markus Q. 2 Hunt, Alexander J. 2 Kane, Birane 2 Kempf, Dominic 2 Klapproth, Corinna 2 Klar, Axel 2 Knappitsch, Markus 2 Koch, Timo 2 Kopera, Michal A. 2 Kronbichler, Martin 2 Kügler, Philipp 2 Kumar, Kundan 2 Leibner, Tobias 2 Lie, Knut-Andreas 2 Milk, René 2 Mitchell, Lawrence 2 Müller, Eike Hermann 2 Nadupuri, Suresh Kumar 2 Neff, Patrizio 2 Nolte, Martin 2 Peterseim, Daniel 2 Pop, Iuliu Sorin 2 Pryer, Tristan 2 Radu, Florin Adrian 2 Rivière, Beatrice M. 2 Rüde, Ulrich 2 Rustad, Alf Birger 2 Sacconi, Andrea 2 Schneider, Florian H. 2 Schweizer, Ben 2 Seelinger, Linus 2 Smetana, Kathrin 2 Stöcklein, Matthias 2 Thune, Andreas 2 Varma, V. Dhanya 2 von Wolff, Lars 2 Weishaupt, Kilian 2 Wenske, Michael 2 Youett, Jonathan 1 Ackermann, Sina 1 Agnese, Marco 1 Ainseba, Bedr’Eddine 1 Al Nazer, Safaa ...and 262 more Authors all top 5 Cited in 63 Serials 16 SIAM Journal on Scientific Computing 12 Computational Geosciences 9 Computers & Mathematics with Applications 8 Journal of Computational Physics 7 Applied Numerical Mathematics 6 Computing and Visualization in Science 5 Computer Methods in Applied Mechanics and Engineering 5 Applied Mathematics and Computation 5 Journal of Computational and Applied Mathematics 5 Journal of Scientific Computing 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 Computing 4 Mathematics and Computers in Simulation 4 Numerische Mathematik 3 International Journal for Numerical Methods in Fluids 3 Journal of Fluid Mechanics 3 Journal of Mathematical Biology 3 ACM Transactions on Mathematical Software 3 Computational Optimization and Applications 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 SIAM Journal on Numerical Analysis 2 Computational Mechanics 2 Journal of Nonlinear Science 2 Numerical Linear Algebra with Applications 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 2 Computational Methods in Applied Mathematics 2 Multiscale Modeling & Simulation 2 International Journal of Numerical Analysis and Modeling 2 SIAM/ASA Journal on Uncertainty Quantification 2 Communications on Applied Mathematics and Computation 1 Computers and Fluids 1 Computer Physics Communications 1 IMA Journal of Applied Mathematics 1 Inverse Problems 1 Journal of Mathematical Analysis and Applications 1 Mathematical Biosciences 1 Mathematical Methods in the Applied Sciences 1 Mathematics of Computation 1 International Journal for Numerical Methods in Engineering 1 Journal of Differential Equations 1 Kybernetika 1 Applied Mathematics Letters 1 Geometric and Functional Analysis. 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Computer Modeling in Engineering & Sciences 1 Archives of Computational Methods in Engineering 1 Entropy 1 Acta Numerica 1 Mathematical Biosciences and Engineering 1 International Journal of Parallel, Emergent and Distributed Systems 1 Lecture Notes in Computational Science and Engineering 1 Optimization Letters 1 Networks and Heterogeneous Media 1 MathematicS In Action 1 GEM - International Journal on Geomathematics 1 Journal of Mathematics in Industry 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 SMAI Journal of Computational Mathematics all top 5 Cited in 23 Fields 134 Numerical analysis (65-XX) 76 Partial differential equations (35-XX) 61 Fluid mechanics (76-XX) 31 Biology and other natural sciences (92-XX) 25 Mechanics of deformable solids (74-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 16 Geophysics (86-XX) 12 Computer science (68-XX) 10 Optics, electromagnetic theory (78-XX) 5 Operations research, mathematical programming (90-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Systems theory; control (93-XX) 3 Statistics (62-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Mathematics education (97-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year