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.

References in zbMATH (referenced in 155 articles , 3 standard articles )

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  1. Bastian, Peter; Blatt, Markus; Dedner, Andreas; Dreier, Nils-Arne; Engwer, Christian; Fritze, René; Gräser, Carsten; Grüninger, Christoph; Kempf, Dominic; Klöfkorn, Robert; Ohlberger, Mario; Sander, Oliver: The \textscDuneframework: basic concepts and recent developments (2021)
  2. Baumgarten, Niklas; Wieners, Christian: The parallel finite element system M++ with integrated multilevel preconditioning and multilevel Monte Carlo methods (2021)
  3. Bespalov, Alex; Rocchi, Leonardo; Silvester, David: T-IFISS: a toolbox for adaptive FEM computation (2021)
  4. Engwer, Christian; Wenske, Michael: Estimating the extent of glioblastoma invasion. Approximate stationalization of anisotropic advection-diffusion-reaction equations in the context of glioblastoma invasion (2021)
  5. Götschel, Sebastian; Schiela, Anton; Weiser, Martin: Kaskade 7 -- a flexible finite element toolbox (2021)
  6. Koch, Timo; Gläser, Dennis; Weishaupt, Kilian; Ackermann, Sina; Beck, Martin; Becker, Beatrix; Burbulla, Samuel; Class, Holger; Coltman, Edward; Emmert, Simon; Fetzer, Thomas; Grüninger, Christoph; Heck, Katharina; Hommel, Johannes; Kurz, Theresa; Lipp, Melanie; Mohammadi, Farid; Scherrer, Samuel; Schneider, Martin; Seitz, Gabriele; Stadler, Leopold; Utz, Martin; Weinhardt, Felix; Flemisch, Bernd: DuMu(^\textx 3) -- an open-source simulator for solving flow and transport problems in porous media with a focus on model coupling (2021)
  7. Rasmussen, Atgeirr Flø; Sandve, Tor Harald; Bao, Kai; Lauser, Andreas; Hove, Joakim; Skaflestad, Bård; Klöfkorn, Robert; Blatt, Markus; Rustad, Alf Birger; Sævareid, Ove; Lie, Knut-Andreas; Thune, Andreas: The open porous media flow reservoir simulator (2021)
  8. Varma, V. Dhanya; Nadupuri, Suresh Kumar; Chamakuri, Nagaiah: A posteriori error estimates and an adaptive finite element solution for the system of unsteady convection-diffusion-reaction equations in fluidized beds (2021)
  9. Bach, Annika; Sommer, Liesel: A (\Gamma)-convergence result for fluid-filled fracture propagation (2020)
  10. Beck, M.; Rinaldi, A. P.; Flemisch, B.; Class, H.: Accuracy of fully coupled and sequential approaches for modeling hydro- and geomechanical processes (2020)
  11. Chamakuri, Nagaiah; Kügler, Philipp: A coupled monodomain solver with optimal memory usage for the simulation of cardiac wave propagation (2020)
  12. Dahmen, Wolfgang; Gruber, Felix; Mula, Olga: An adaptive nested source term iteration for radiative transfer equations (2020)
  13. Dedner, Andreas; Klöfkorn, Robert: A Python framework for solving advection-diffusion problems (2020)
  14. Doyle, Bryan; Riviere, Beatrice; Sekachev, Michael: A multinumerics scheme for incompressible two-phase flow (2020)
  15. Engwer, Christian; May, Sandra; Nüßing, Andreas; Streitbürger, Florian: A stabilized DG cut cell method for discretizing the linear transport equation (2020)
  16. Koch, Timo; Helmig, Rainer; Schneider, Martin: A new and consistent well model for one-phase flow in anisotropic porous media using a distributed source model (2020)
  17. Lukas Riedel; Santiago Ospina De Los Ríos; Dion Häfner; Ole Klein: DORiE: A Discontinuous Galerkin Solver for Soil Water Flow and Passive Solute Transport Based on DUNE (2020) not zbMATH
  18. Moxey, David; Amici, Roman; Kirby, Mike: Efficient matrix-free high-order finite element evaluation for simplicial elements (2020)
  19. Ohlberger, Mario; Schweizer, Ben; Urban, Maik; Verfürth, Barbara: Mathematical analysis of transmission properties of electromagnetic meta-materials (2020)
  20. Sander, Oliver: DUNE -- the distributed and unified numerics environment (2020)

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