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 66 articles , 2 standard articles )

Showing results 1 to 20 of 66.
Sorted by year (citations)

1 2 3 4 next

  1. Engwer, Christian; Vorwerk, Johannes; Ludewig, Jakob; Wolters, Carsten H.: A discontinuous Galerkin method to solve the EEG forward problem using the subtraction approach (2017)
  2. 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)
  3. 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
  4. 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)
  5. Dedner, Andreas; Madhavan, Pravin: Adaptive discontinuous Galerkin methods on surfaces (2016)
  6. Engwer, Christian; Johannsen, Klaus; Nüßing, Andreas: Algebraic multigrid for discontinuous Galerkin methods using local transformations (2016)
  7. Engwer, Christian; Müthing, Steffen: Concepts for flexible parallel multi-domain simulations (2016)
  8. Homolya, M.; Ham, D.A.: A parallel edge orientation algorithm for quadrilateral meshes (2016)
  9. Huber, Markus; Gmeiner, Björn; Rüde, Ulrich; Wohlmuth, Barbara: Resilience for massively parallel multigrid solvers (2016)
  10. Il’in, V.P.; Skopin, I.N.: About performance and intellectuality of supercomputer modeling (2016) ioport
  11. 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)
  12. McRae, A.T.T.; Bercea, G.-T.; Mitchell, L.; Ham, D.A.; Cotter, C.J.: Automated generation and symbolic manipulation of tensor product finite elements (2016)
  13. Milk, René; Rave, Stephan; Schindler, Felix: PyMOR -- generic algorithms and interfaces for model order reduction (2016)
  14. Nürnberg, Robert; Sacconi, Andrea: A fitted finite element method for the numerical approximation of void electro-stress migration (2016)
  15. Sander, Oliver; Neff, Patrizio; B^ırsan, Mircea: Numerical treatment of a geometrically nonlinear planar Cosserat shell model (2016)
  16. Semplice, M.; Coco, A.; Russo, G.: Adaptive mesh refinement for hyperbolic systems based on third-order compact WENO reconstruction (2016)
  17. Tobias Leibner, Rene Milk, Felix Schindler: Extending DUNE: The dune-xt modules (2016) arXiv
  18. Ahusborde, Etienne; Kern, Michel; Vostrikov, Viatcheslav: Numerical simulation of two-phase multicomponent flow with reactive transport in porous media: application to geological sequestration of CO$_2$ (2015)
  19. Berninger, Heiko; Kornhuber, Ralf; Sander, Oliver: A multidomain discretization of the Richards equation in layered soil (2015)
  20. Chamakuri, Nagaiah; Kunisch, Karl; Plank, Gernot: Application of optimal control to the cardiac defibrillation problem using a physiological model of cellular dynamics (2015)

1 2 3 4 next