libDiscretization swMATH ID: 22263 Software Authors: Vogel, Andreas; Reiter, Sebastian; Rupp, Martin; Nägel, Arne; Wittum, Gabriel Description: 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. Homepage: https://rd.springer.com/article/10.1007/s00791-014-0232-9 Related Software: libGrid; pcl; libAlgebra; UG4; SuperLU; JDQZ; UG; DUNE; ALBERTA; VRL; DDD; MPI; NEURON; Kaskade7; Dune-FemPy; FoamGrid; Curvilinear Grid; vcl; Exa-Dune; JAUMIN Cited in: 19 Publications all top 5 Cited by 52 Authors 15 Wittum, Gabriel 7 Nägel, Arne 4 Vogel, Andreas 3 Höllbacher, Susanne 3 Reiter, Sebastian 3 Rupp, Martin 2 Breit, Markus 2 Keyes, David Elliot 2 Knodel, Markus M. 2 Litvinenko, Alexander 2 Logashenko, Dmitry 2 Queisser, Gillian 2 Tempone, Raúl F. 1 Bastian, Peter 1 Bäuerle, Tobias 1 Blatt, Markus 1 Dedner, Andreas S. 1 Dreier, Nils-Arne 1 Engwer, Christian 1 Fritze, René 1 Gillmann, Clarissa 1 Grasedyck, Lars 1 Gräser, Carsten 1 Grillo, Alfio 1 Grüninger, Christoph 1 Heisig, Michael 1 Heppner, Ingo 1 Herrmann, Eva 1 Hillengaß, Jens 1 Hoffer, Michael 1 Kempf, Dominic 1 Kieffer-Roth, Corine 1 Klöfkorn, Robert 1 Krause, Rolf H. 1 Kreienbuehl, Andreas 1 Kriemann, Ronald 1 Lampe, Michael 1 Lemke, Babett 1 Löbbert, Christian 1 Ohlberger, Mario 1 Prohl, Raphael 1 Reutzsch, Jonathan 1 Ruprecht, Daniel 1 Sander, Oliver 1 Schulz, Volker H. 1 Siebenborn, Martin 1 Speck, Robert 1 Targett-Adams, Paul 1 Uder, Michael 1 Weigand, Bernhard 1 Wittum, Rebecca 1 Xylouris, Konstantinos all top 5 Cited in 10 Serials 7 Computing and Visualization in Science 3 Journal of Computational Physics 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 Numerische Mathematik 1 SIAM Journal on Applied Mathematics 1 Continuum Mechanics and Thermodynamics 1 Mathematics and Mechanics of Solids 1 GEM - International Journal on Geomathematics 1 The Journal of Mathematical Neuroscience all top 5 Cited in 10 Fields 12 Numerical analysis (65-XX) 8 Biology and other natural sciences (92-XX) 7 Fluid mechanics (76-XX) 5 Partial differential equations (35-XX) 2 Computer science (68-XX) 2 Mechanics of deformable solids (74-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year