UG 4: A novel flexible software system for simulating PDE based models on high performance computers .. The third module libDiscretization links the two libraries and glues the whole simulation framework together. In this discretization library numerical schemes and trial spaces are found and assembling procedures are defined. Thus, this library uses a suitable grid provided by libGrid and vectors, matrices and linear solvers provided by libAlgebra. A more detailed description of this library will be given in Sect. 5.

References in zbMATH (referenced in 18 articles )

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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. 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)
  6. Reutzsch, Jonathan; Kieffer-Roth, Corine; Weigand, Bernhard: A consistent method for direct numerical simulation of droplet evaporation (2020)
  7. Wittum, Rebecca; Naegel, Arne; Heisig, Michael; Wittum, Gabriel: Mathematical modelling of the viable epidermis: impact of cell shape and vertical arrangement (2020)
  8. Höllbacher, Susanne; Wittum, Gabriel: Rotational test spaces for a fully-implicit FVM and FEM for the DNS of fluid-particle interaction (2019)
  9. Breit, Markus; Queisser, Gillian: What is required for neuronal calcium waves? A numerical parameter study (2018)
  10. 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)
  11. Grillo, Alfio; Prohl, Raphael; Wittum, Gabriel: A poroplastic model of structural reorganisation in porous media of biomechanical interest (2016)
  12. Grasedyck, Lars; Kriemann, Ronald; Löbbert, Christian; Nägel, Arne; Wittum, Gabriel; Xylouris, Konstantinos: Parallel tensor sampling in the hierarchical Tucker format (2015)
  13. 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)
  14. Kreienbuehl, Andreas; Naegel, Arne; Ruprecht, Daniel; Speck, Robert; Wittum, Gabriel; Krause, Rolf: Numerical simulation of skin transport using Parareal (2015)
  15. Nägel, Arne; Schulz, Volker; Siebenborn, Martin; Wittum, Gabriel: Scalable shape optimization methods for structured inverse modeling in 3D diffusive processes (2015)
  16. Nägel, Arne; Vogel, Andreas; Wittum, Gabriel: Evaluating linear and nonlinear solvers for density driven flow (2015)
  17. Reiter, Sebastian; Vogel, Andreas; Heppner, Ingo; Rupp, Martin; Wittum, Gabriel: A massively parallel geometric multigrid solver on hierarchically distributed grids (2013)
  18. 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)