UG4 — a novel flexible software system for simulating pde based models on high performance computers. In this paper we describe the concept of the renewed software package UG, that is used as a flexible simulation framework for the solution of partial differential equations. A general overview of the concepts of the new implementation is given: The modularization of the software package into several libraries libGrid, libAlgebra, libDiscretization and pcl is described and all major modules are discussed in detail. User backends through scripting and visual editing are briefly considered and examples show the new features of the current implementation.

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  1. 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)
  2. Breit, Markus; Queisser, Gillian: The necessary modeling detail for neuronal signaling: Poisson-Nernst-Planck and cable equation models in one and three dimensions (2021)
  3. Höllbacher, Susanne; Wittum, Gabriel: A sharp interface method using enriched finite elements for elliptic interface problems (2021)
  4. Höllbacher, Susanne; Wittum, Gabriel: Gradient-consistent enrichment of finite element spaces for the DNS of fluid-particle interaction (2020)
  5. Köstler, Harald; Heisig, Marco; Kohl, Nils; Kuckuk, Sebastian; Bauer, Martin; Rüde, Ulrich: Code generation approaches for parallel geometric multigrid solvers (2020)
  6. Litvinenko, Alexander; Logashenko, Dmitry; Tempone, Raul; Wittum, Gabriel; Keyes, David: Solution of the 3D density-driven groundwater flow problem with uncertain porosity and permeability (2020)
  7. Reutzsch, Jonathan; Kieffer-Roth, Corine; Weigand, Bernhard: A consistent method for direct numerical simulation of droplet evaporation (2020)
  8. Wittum, Rebecca; Naegel, Arne; Heisig, Michael; Wittum, Gabriel: Mathematical modelling of the viable epidermis: impact of cell shape and vertical arrangement (2020)
  9. Höllbacher, Susanne; Wittum, Gabriel: Rotational test spaces for a fully-implicit FVM and FEM for the DNS of fluid-particle interaction (2019)
  10. Peter Bastian, Markus Blatt, Andreas Dedner, Nils-Arne Dreier, Christian Engwer, René Fritze, Carsten Gräser, Christoph Grüninger, Dominic Kempf, Robert Klöfkorn, Mario Ohlberger, Oliver Sander: The DUNE Framework: Basic Concepts and Recent Developments (2019) arXiv
  11. Breit, Markus; Queisser, Gillian: What is required for neuronal calcium waves? A numerical parameter study (2018)
  12. Knodel, Markus M.; Lemke, Babett; Lampe, Michael; Hoffer, Michael; Gillmann, Clarissa; Uder, Michael; Hillengaß, Jens; Wittum, Gabriel; Bäuerle, Tobias: Virtual reality in advanced medical immersive imaging: a workflow for introducing virtual reality as a supporting tool in medical imaging (2018)
  13. Grillo, Alfio; Prohl, Raphael; Wittum, Gabriel: A poroplastic model of structural reorganisation in porous media of biomechanical interest (2016)
  14. Grasedyck, Lars; Kriemann, Ronald; Löbbert, Christian; Nägel, Arne; Wittum, Gabriel; Xylouris, Konstantinos: Parallel tensor sampling in the hierarchical Tucker format (2015)
  15. Knodel, Markus M.; Nägel, Arne; Reiter, Sebastian; Rupp, Martin; Vogel, Andreas; Targett-Adams, Paul; Herrmann, Eva; Wittum, Gabriel: Multigrid analysis of spatially resolved hepatitis C virus protein simulations (2015)
  16. Kreienbuehl, Andreas; Naegel, Arne; Ruprecht, Daniel; Speck, Robert; Wittum, Gabriel; Krause, Rolf: Numerical simulation of skin transport using Parareal (2015)
  17. Nägel, Arne; Schulz, Volker; Siebenborn, Martin; Wittum, Gabriel: Scalable shape optimization methods for structured inverse modeling in 3D diffusive processes (2015)
  18. Nägel, Arne; Vogel, Andreas; Wittum, Gabriel: Evaluating linear and nonlinear solvers for density driven flow (2015)
  19. Reiter, Sebastian; Vogel, Andreas; Heppner, Ingo; Rupp, Martin; Wittum, Gabriel: A massively parallel geometric multigrid solver on hierarchically distributed grids (2013)
  20. Vogel, Andreas; Reiter, Sebastian; Rupp, Martin; Nägel, Arne; Wittum, Gabriel: \textitUG4: a novel flexible software system for simulating PDE based models on high performance computers (2013)

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