DUNE

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 177 articles , 3 standard articles )

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  1. Bastian, Peter; Scheichl, Robert; Seelinger, Linus; Strehlow, Arne: Multilevel spectral domain decomposition (2022)
  2. Both, Jakub Wiktor: On the rate of convergence of alternating minimization for non-smooth non-strongly convex optimization in Banach spaces (2022)
  3. Chamakuri, Nagaiah; Kügler, Philipp: Parallel space-time adaptive numerical simulation of 3D cardiac electrophysiology (2022)
  4. Deckelnick, Klaus; Herbert, Philip J.; Hinze, Michael: A novel (W^1,\infty) approach to shape optimisation with Lipschitz domains (2022)
  5. Elliott, Charles M.; Herbert, Philip J.: A formula for membrane mediated point particle interactions on near spherical biomembranes (2022)
  6. Ahusborde, Etienne; Amaziane, Brahim; Moulay, Mohamed Id: High performance computing of 3D reactive multiphase flow in porous media: application to geological storage of (\mathrmCO_2) (2021)
  7. Al Nazer, Safaa; Jazar, Mustapha; Rosier, Carole: Convergence acceleration of iterative sequences for equilibrium chemistry computations (2021)
  8. Altenbernd, Mirco; Dreier, Nils-Arne; Engwer, Christian; Göddeke, Dominik: Towards local-failure local-recovery in PDE frameworks: the case of linear solvers (2021)
  9. 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)
  10. Baumgarten, Niklas; Wieners, Christian: The parallel finite element system M++ with integrated multilevel preconditioning and multilevel Monte Carlo methods (2021)
  11. Bespalov, Alex; Rocchi, Leonardo; Silvester, David: T-IFISS: a toolbox for adaptive FEM computation (2021)
  12. Christoph Lehrenfeld, Fabian Heimann, Janosch Preuß, Henry von Wahl: ngsxfem: Add-on to NGSolve for geometrically unfitted finite element discretizations. (2021) not zbMATH
  13. Corbin, Gregor; Klar, Axel; Surulescu, Christina; Engwer, Christian; Wenske, Michael; Nieto, Juanjo; Soler, Juan: Modeling glioma invasion with anisotropy- and hypoxia-triggered motility enhancement: from subcellular dynamics to macroscopic PDEs with multiple taxis (2021)
  14. Dedner, Andreas; Giesselmann, Jan; Pryer, Tristan; Ryan, Jennifer K.: Residual estimates for post-processors in elliptic problems (2021)
  15. Elliott, Charles M.; Hatcher, Luke; Herbert, Philip J.: Small deformations of spherical biomembranes (2021)
  16. 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)
  17. Engwer, Christian; Westerheide, Sebastian: An unfitted dG scheme for coupled bulk-surface PDEs on complex geometries (2021)
  18. Götschel, Sebastian; Schiela, Anton; Weiser, Martin: Kaskade 7 -- a flexible finite element toolbox (2021)
  19. Haasdonk, Bernard: MOR software (2021)
  20. Kane, Birane: Multistage preconditioning for adaptive discretization of porous media two-phase flow (2021)

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