HiFlow3 swMATH ID: 6354 Software Authors: Hartwig Anzt, Werner Augustin, Martin Baumann, Teresa Beck, Thomas Gengenbach, Tobias Hahn, Andreas Helfrich-Schkarbanenko, Vincent Heuveline, Eva Ketelaer, Dimitar Lukarski, Andrea Nestler, Sebastian Ritterbusch, Björn Rocker, Staffan Ronnas, Michael Schick, Mareike Schmidtobreick, Chandramowli Subramanian, Jan-Philipp Weiss, Florian Wilhelm, Martin Wlotzka Description: HiFlow³ is a multi-purpose finite element software providing powerful tools for efficient and accurate solution of a wide range of problems modeled by partial differential equations. Based on object-oriented concepts and the full capabilities of C++ the HiFlow³ project follows a modular and generic approach for building efficient parallel numerical solvers. It provides highly capable modules dealing with the mesh setup, finite element spaces, degrees of freedom, linear algebra routines, numerical solvers, and output data for visualization. Parallelism – as the basis for high performance simulations on modern computing systems – is introduced on two levels: coarse-grained parallelism by means of distributed grids and distributed data structures, and fine-grained parallelism by means of platform-optimized linear algebra back-ends. Homepage: http://www.hiflow3.org/ Keywords: mesh; linear algebra; degree of freedom; finite element method Related Software: UMFPACK; dune-xt; PANG; CutFEM; Dune-UDG; libMesh; FEMPAR; p4est; Vc; ISTL; UG; Gmsh; Curvilinear Grid; DUNE-ALUGrid; Exa-Dune; RBmatlab; Kaskade7; DuMuX; UG4; PETSc Cited in: 7 Publications This software is also referenced in ORMS. all top 5 Cited by 20 Authors 4 Heuveline, Vincent 3 Rannacher, Rolf 1 Bastian, Peter 1 Blatt, Markus 1 Bönisch, Sebastian 1 Carraro, Thomas 1 Dedner, Andreas S. 1 Dreier, Nils-Arne 1 Dunne, Thomas 1 Engwer, Christian 1 Fritze, René 1 Gräser, Carsten 1 Grüninger, Christoph 1 Kempf, Dominic 1 Klöfkorn, Robert 1 Le Ma, O. P. 1 Ohlberger, Mario 1 Sander, Oliver 1 Schick, Michael 1 Strauß, Frank Cited in 3 Serials 2 Journal of Computational Physics 1 Computers & Mathematics with Applications 1 SIAM Review all top 5 Cited in 10 Fields 5 Fluid mechanics (76-XX) 4 Numerical analysis (65-XX) 3 Biology and other natural sciences (92-XX) 2 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) Citations by Year