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 115 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. Detommaso, Gianluca; Dodwell, Tim; Scheichl, Rob: Continuous level Monte Carlo and sample-adaptive model hierarchies (2019)
  3. Grohs, Philipp; Hardering, Hanne; Sander, Oliver; Sprecher, Markus: Projection-based finite elements for nonlinear function spaces (2019)
  4. Youett, Jonathan; Sander, Oliver; Kornhuber, Ralf: A globally convergent filter-trust-region method for large deformation contact problems (2019)
  5. Cicuttin, M.; Di Pietro, D. A.; Ern, A.: Implementation of discontinuous skeletal methods on arbitrary-dimensional, polytopal meshes using generic programming (2018)
  6. Djurdjevac, Ana; Elliott, Charles M.; Kornhuber, Ralf; Ranner, Thomas: Evolving surface finite element methods for random advection-diffusion equations (2018)
  7. Hanowski, Katja K.; Sander, Oliver: The hydromechanical equilibrium state of poroelastic media with a static fracture: A dimension-reduced model with existence results in weighted Sobolev spaces and simulations with an XFEM discretization (2018)
  8. Huber, Markus; Rüde, Ulrich; Waluga, Christian; Wohlmuth, Barbara: Surface couplings for subdomain-wise isoviscous gradient based Stokes finite element discretizations (2018)
  9. Kröner, Axel; Kröner, Eva; Kröner, Heiko: Finite element approximation of level set motion by powers of the mean curvature (2018)
  10. Naumann, Andreas; Ruprecht, Daniel; Wensch, Joerg: Toward transient finite element simulation of thermal deformation of machine tools in real-time (2018)
  11. Nüßing, Andreas: Fitted and unfitted finite element methods for solving the EEG forward problem (2018)
  12. Parra Hinojosa, Alfredo; Bungartz, Hans-Joachim; Pflüger, Dirk: Scalable algorithmic detection of silent data corruption for high-dimensional PDEs (2018)
  13. Vidotto, Ettore; Helmig, Rainer; Schneider, Martin; Wohlmuth, Barbara: Streamline method for resolving sharp fronts for complex two-phase flow in porous media (2018)
  14. Zhigun, Anna; Surulescu, Christina; Hunt, Alexander: A strongly degenerate diffusion-haptotaxis model of tumour invasion under the go-or-grow dichotomy hypothesis (2018)
  15. Ahusborde, E.; Amaziane, B.; El Ossmani, M.: Finite volume scheme for coupling two-phase flow with reactive transport in porous media (2017)
  16. Bendahmane, Mostafa; Chamakuri, Nagaiah: Numerical analysis for an optimal control of bidomain-bath model (2017)
  17. 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)
  18. Chamakuri, Nagaiah; Kunisch, Karl: Primal-dual active set strategy for large scale optimization of cardiac defibrillation (2017)
  19. Engwer, Christian; Stinner, Christian; Surulescu, Christina: On a structured multiscale model for acid-mediated tumor invasion: the effects of adhesion and proliferation (2017)
  20. Engwer, Christian; Vorwerk, Johannes; Ludewig, Jakob; Wolters, Carsten H.: A discontinuous Galerkin method to solve the EEG forward problem using the subtraction approach (2017)

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