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 88 articles , 2 standard articles )

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  1. Ahusborde, E.; Amaziane, B.; El Ossmani, M.: Finite volume scheme for coupling two-phase flow with reactive transport in porous media (2017)
  2. Bendahmane, Mostafa; Chamakuri, Nagaiah: Numerical analysis for an optimal control of bidomain-bath model (2017)
  3. Both, Jakub Wiktor; Borregales, Manuel; Nordbotten, Jan Martin; Kumar, Kundan; Radu, Florin Adrian: Robust fixed stress splitting for Biot’s equations in heterogeneous media (2017)
  4. Engwer, Christian; Stinner, Christian; Surulescu, Christina: On a structured multiscale model for acid-mediated tumor invasion: the effects of adhesion and proliferation (2017)
  5. Engwer, Christian; Vorwerk, Johannes; Ludewig, Jakob; Wolters, Carsten H.: A discontinuous Galerkin method to solve the EEG forward problem using the subtraction approach (2017)
  6. Hunt, Alexander; Surulescu, Christina: A multiscale modeling approach to glioma invasion with therapy (2017)
  7. Kane, Birane; Klöfkorn, Robert; Gersbacher, Christoph: Hp-adaptive discontinuous Galerkin methods for porous media flow (2017)
  8. Karpinski, Stefan; Pop, Iuliu Sorin: Analysis of an interior penalty discontinuous Galerkin scheme for two phase flow in porous media with dynamic capillary effects (2017)
  9. Ulrich Wilbrandt, Clemens Bartsch, Naveed Ahmed, Najib Alia, Felix Anker, Laura Blank, Alfonso Caiazzo, Sashikumaar Ganesan, Swetlana Giere, Gunar Matthies, Raviteja Meesala, Abdus Shamim, Jagannath Venkatesan, Volker John: ParMooN - a modernized program package based on mapped finite elements (2017) arXiv
  10. Bendahmane, Mostafa; Chamakuri, Nagaiah; Comte, Eloïse; Aïnseba, Bedr’Eddine: A 3D boundary optimal control for the bidomain-bath system modeling the thoracic shock therapy for cardiac defibrillation (2016)
  11. Dedner, Andreas; Madhavan, Pravin: Adaptive discontinuous Galerkin methods on surfaces (2016)
  12. Engwer, Christian; Johannsen, Klaus; Nüßing, Andreas: Algebraic multigrid for discontinuous Galerkin methods using local transformations (2016)
  13. Engwer, Christian; Knappitsch, Markus; Surulescu, Christina: A multiscale model for glioma spread including cell-tissue interactions and proliferation (2016)
  14. Engwer, Christian; Müthing, Steffen: Concepts for flexible parallel multi-domain simulations (2016)
  15. Gräser, Carsten; Kahnt, Max; Kornhuber, Ralf: Numerical approximation of multi-phase Penrose-Fife systems (2016)
  16. Henning, Patrick; Ohlberger, Mario; Verfürth, Barbara: A new heterogeneous multiscale method for time-harmonic Maxwell’s equations (2016)
  17. Homolya, M.; Ham, D.A.: A parallel edge orientation algorithm for quadrilateral meshes (2016)
  18. Huber, Markus; Gmeiner, Björn; Rüde, Ulrich; Wohlmuth, Barbara: Resilience for massively parallel multigrid solvers (2016)
  19. Il’in, V.P.; Skopin, I.N.: About performance and intellectuality of supercomputer modeling (2016) ioport
  20. Marras, Simone; Kelly, James F.; Moragues, Margarida; Müller, Andreas; Kopera, Michal A.; Vázquez, Mariano; Giraldo, Francis X.; Houzeaux, Guillaume; Jorba, Oriol: A review of element-based Galerkin methods for numerical weather prediction: finite elements, spectral elements, and discontinuous Galerkin (2016)

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