## Netgen

 swMATH ID: 6679 Software Authors: J. Schöberl, J. Gerstmayr, R. Gaisbauer Description: NETGEN: An advancing front 2D/3D-mesh generator based on abstract rules. The algorithms of the automatic mesh generator NETGEN are described. The domain is provided by a Constructive Solid Geometry (CSG). The whole task of 3D mesh generation splits into four subproblems of special point calculation, edge following, surface meshing and finally volume mesh generation. Surface and volume mesh generation are based on the advancing front method. Emphasis is given to the abstract structure of the element generation rules. Several techniques of mesh optimization are tested and quality plots are presented. Homepage: http://www.hpfem.jku.at/netgen/ Programming Languages: C++ Keywords: automatic mesh generator NETGEN Related Software: NGSolve; Gmsh; TetGen; Triangle; PETSc; FEniCS; CGALmesh; ParaView; CGAL; Matlab; hypre; Trilinos; DistMesh; OpenFOAM; Neper; CUDA; FEAP; PARDISO; ParMETIS; METIS Cited in: 189 Publications

### Standard Articles

1 Publication describing the Software, including 1 Publication in zbMATH Year
NETGEN: An advancing front 2D/3D-mesh generator based on abstract rules. Zbl 0883.68130
Schöberl, Joachim
1997
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### Cited by 392 Authors

 19 Schöberl, Joachim 10 Nannen, Lothar 7 Hohage, Thorsten 7 Lederer, Philip Lukas 7 Lehrenfeld, Christoph 7 Schillinger, Dominik 6 Meng, Shixu 4 Neunteufel, Michael 4 Rank, Ernst 4 Rupp, Karl 4 Selberherr, Siegfried 4 Weinbub, Josef 3 Bebendorf, Mario 3 Danczul, Tobias 3 Halla, Martin 3 Hein, Stefan 3 Holzapfel, Gerhard Alfred 3 Jimack, Peter K. 3 Klawonn, Axel 3 Koch, Werner 3 Kraus, Johannes K. 3 Langer, Ulrich 3 Neff, Patrizio 3 Remacle, Jean-François 3 Rheinbach, Oliver 3 Rudolf, Florian 3 Schütz, Jochen 3 Soghrati, Soheil 3 Specogna, Ruben 3 Vassilevski, Panayot Spirov 3 Villa, Umberto E. 3 Yang, Huidong 2 Adams, Nikolaus A. 2 Ahmed, Sarfraz 2 Borcea, Liliana 2 Chan, Jesse 2 Chen, Junqing 2 Dłotko, Paweł 2 Düster, Alexander 2 Esterhazy, S. 2 Faustmann, Markus 2 Fu, Lin 2 Gasser, Thomas C. 2 Geuzaine, Christophe A. 2 Goodyer, Christopher E. 2 Gruber, Peter Günther 2 Hu, Xiangyu 2 Ji, Zhe 2 Jüngel, Ansgar 2 Kaiser, Klaus Hermann 2 Kosturski, Nikola 2 Linke, Alexander 2 Lopez-Pamies, Oscar 2 May, Georg 2 Melenk, Jens Markus 2 Merdon, Christian 2 Monk, Peter B. 2 Morhammer, Andreas 2 Nagarajan, Anand 2 Pietschmann, Jan-Frederik 2 Praetorius, Dirk 2 Preuß, Janosch 2 Ruess, Martin 2 Varduhn, Vasco 2 Warburton, Timothy 2 Wess, Markus 2 Wieners, Christian 2 Zaglmayr, Sabine 2 Zhang, Linbo 1 Adessina, A. 1 Ainsworth, Mark 1 Airaksinen, Tuomas 1 Alliez, Pierre 1 Alves, José L. D. 1 Ammann, Martin 1 Balan, Aravind 1 Banjai, Lehel 1 Bao, Hujun 1 Barbe, Fabrice 1 Baroli, Davide 1 Barthelemy, Jean-Francois M. 1 Bazilevs, Yuri 1 Behr, Marek A. 1 Benedetti, Ivano 1 Bensow, Rickard E. 1 Berg, Viktoria 1 Bleszynski, Elizabeth H. 1 Bog, Tino 1 Bogaers, A. E. J. 1 Böhlke, Thomas 1 Böhm, Helmut J. 1 Boissonnat, Jean-Daniel 1 Börm, Steffen 1 Boulanger, Pierre 1 Brandner, Philip 1 Brassart, Laurence 1 Braukhoff, Marcel 1 Bremberg, Daniel 1 Bricteux, Gaëtan 1 Burda, Pavel ...and 292 more Authors
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### Cited in 65 Serials

 24 Computer Methods in Applied Mechanics and Engineering 12 Journal of Computational Physics 12 SIAM Journal on Scientific Computing 8 Journal of Computational and Applied Mathematics 8 SIAM Journal on Numerical Analysis 7 Computational Mechanics 6 International Journal for Numerical Methods in Engineering 6 Numerische Mathematik 5 Computers and Fluids 4 Computers & Mathematics with Applications 4 Communications in Computational Physics 3 International Journal of Engineering Science 3 Inverse Problems 3 Journal of Fluid Mechanics 3 Mathematics of Computation 3 BIT 3 Computing 3 Computer Aided Geometric Design 3 Journal of Scientific Computing 3 Advances in Computational Mathematics 3 Computing and Visualization in Science 3 Journal of Numerical Mathematics 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Journal of the Mechanics and Physics of Solids 2 Wave Motion 2 ACM Transactions on Mathematical Software 2 Mathematics and Computers in Simulation 2 Applied Numerical Mathematics 2 European Journal of Mechanics. A. Solids 2 Inverse Problems in Science and Engineering 2 Inverse Problems and Imaging 1 International Journal of Solids and Structures 1 Mathematical Methods in the Applied Sciences 1 Applied Mathematics and Computation 1 Meccanica 1 Moscow University Computational Mathematics and Cybernetics 1 ACM Transactions on Graphics 1 Computers & Operations Research 1 European Journal of Applied Mathematics 1 Applications of Mathematics 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Applied Mathematical Modelling 1 International Journal of Computer Mathematics 1 Journal of Elasticity 1 SIAM Journal on Applied Mathematics 1 Advances in Engineering Software 1 Communications in Numerical Methods in Engineering 1 Computational and Applied Mathematics 1 Memoirs on Differential Equations and Mathematical Physics 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Engineering Analysis with Boundary Elements 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 1 Engineering Computations 1 Granular Matter 1 International Journal of Computational Methods 1 International Journal of Fracture 1 GAMM-Mitteilungen 1 Lecture Notes in Computational Science and Engineering 1 Mathematics in Computer Science 1 Kinetic and Related Models 1 Science China. Technological Sciences 1 International Journal for Numerical Methods in Biomedical Engineering 1 SIAM/ASA Journal on Uncertainty Quantification 1 SN Partial Differential Equations and Applications
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### Cited in 30 Fields

 127 Numerical analysis (65-XX) 64 Partial differential equations (35-XX) 50 Mechanics of deformable solids (74-XX) 50 Fluid mechanics (76-XX) 27 Optics, electromagnetic theory (78-XX) 14 Biology and other natural sciences (92-XX) 8 Computer science (68-XX) 5 Statistical mechanics, structure of matter (82-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Combinatorics (05-XX) 2 Real functions (26-XX) 2 Approximations and expansions (41-XX) 2 Functional analysis (46-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX)