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 106 articles , 2 standard articles )

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  1. Andreas Nüßing, Maria Carla Piastra, Sophie Schrader, Tuuli Miinalainen, Heinrich Brinck, Carsten H. Wolters, Christian Engwer: duneuro - A software toolbox for forward modeling in neuroscience (2019) arXiv
  2. Cicuttin, M.; Di Pietro, D. A.; Ern, A.: Implementation of discontinuous skeletal methods on arbitrary-dimensional, polytopal meshes using generic programming (2018)
  3. Huber, Markus; Rüde, Ulrich; Waluga, Christian; Wohlmuth, Barbara: Surface couplings for subdomain-wise isoviscous gradient based Stokes finite element discretizations (2018)
  4. Naumann, Andreas; Ruprecht, Daniel; Wensch, Joerg: Toward transient finite element simulation of thermal deformation of machine tools in real-time (2018)
  5. Nüßing, Andreas: Fitted and unfitted finite element methods for solving the EEG forward problem (2018)
  6. Zhigun, Anna; Surulescu, Christina; Hunt, Alexander: A strongly degenerate diffusion-haptotaxis model of tumour invasion under the go-or-grow dichotomy hypothesis (2018)
  7. Ahusborde, E.; Amaziane, B.; El Ossmani, M.: Finite volume scheme for coupling two-phase flow with reactive transport in porous media (2017)
  8. Bendahmane, Mostafa; Chamakuri, Nagaiah: Numerical analysis for an optimal control of bidomain-bath model (2017)
  9. 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)
  10. Engwer, Christian; Stinner, Christian; Surulescu, Christina: On a structured multiscale model for acid-mediated tumor invasion: the effects of adhesion and proliferation (2017)
  11. Engwer, Christian; Vorwerk, Johannes; Ludewig, Jakob; Wolters, Carsten H.: A discontinuous Galerkin method to solve the EEG forward problem using the subtraction approach (2017)
  12. Hunt, Alexander; Surulescu, Christina: A multiscale modeling approach to glioma invasion with therapy (2017)
  13. Kane, Birane; Klöfkorn, Robert; Gersbacher, Christoph: Hp-adaptive discontinuous Galerkin methods for porous media flow (2017)
  14. 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)
  15. Klöfkorn, Robert; Kvashchuk, Anna; Nolte, Martin: Comparison of linear reconstructions for second-order finite volume schemes on polyhedral grids (2017)
  16. Müller, Georg; Schiela, Anton: On the control of time discretized dynamic contact problems (2017)
  17. Ohlberger, Mario; Rave, Stephan: Localized reduced basis approximation of a nonlinear finite volume battery model with resolved electrode geometry (2017)
  18. 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
  19. 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)
  20. Dedner, Andreas; Madhavan, Pravin: Adaptive discontinuous Galerkin methods on surfaces (2016)

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