## Triangle

 swMATH ID: 7890 Software Authors: Jonathan Richard Shewchuk Description: Triangle: A Two-Dimensional Quality Mesh Generator and Delaunay Triangulator. Triangle generates exact Delaunay triangulations, constrained Delaunay triangulations, conforming Delaunay triangulations, Voronoi diagrams, and high-quality triangular meshes. The latter can be generated with no small or large angles, and are thus suitable for finite element analysis. Triangle (version 1.6, with Show Me version 1.6) is available as a .zip file (159K) or as a .shar file (829K) (extract with sh) from Netlib in the voronoi directory. Please note that although Triangle is freely available, it is copyrighted by the author and may not be sold or included in commercial products without a license. Homepage: http://www.cs.cmu.edu/~quake/triangle.html Related Software: TetGen; CGAL; Gmsh; Matlab; DistMesh; Netgen; PETSc; PARDISO; Eigen; Qhull; CUDA; Voronoi; FreeFem++; Voro++; FEniCS; PolyMesher; ParaView; METIS; dfnWorks; ALBERTA Referenced in: 360 Publications
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### Referenced by 783 Authors

 8 Araya, Rodolfo A. 7 Linke, Alexander 7 Manzini, Gianmarco 6 Chrisochoides, Nikos P. 6 Soghrati, Soheil 5 Fuhrmann, Jürgen 5 Ju, Lili 5 Nagarajan, Anand 4 Chernikov, Andrey N. 4 Edwards, Michael G. 4 Fumagalli, Alessio 4 Ganesan, Sashikumaar 4 Gunzburger, Max D. 4 Hormann, Kai 4 Nochetto, Ricardo Horacio 4 Shewchuk, Jonathan Richard 4 Vavasis, Stephen A. 3 Adams, Nikolaus A. 3 Ahmed, Raheel 3 Berrone, Stefano 3 Fu, Lin 3 Huisman, Bastiaan A. H. 3 Hyvönen, Nuutti 3 Keilegavlen, Eirik 3 Lamine, Sadok 3 Langmach, Hartmut 3 Linardakis, Leonidas 3 López-Fernández, María 3 Pal, Mayur 3 Rivara, Maria-Cecilia 3 Rodríguez, Rodolfo 3 Schädle, Achim 3 Scialò, Stefano 3 Sellountos, Euripides J. 3 Tang, Qian 3 Tobiska, Lutz 3 Üngör, Alper 3 Walker, Shawn W. 3 Yvinec, Mariette 3 Zhang, GuiYong 3 Zhong, Zhihua 2 Ahamadi, Malidi 2 Ahmadian, Hossein 2 Anisimov, Dmitry 2 Bakr, Shaaban A. 2 Bänsch, Eberhard 2 Barrenechea, Gabriel R. 2 Behrens, Edwin M. 2 Benedetti, Ivano 2 Bertolazzi, Enrico 2 Bhat, Sourabh P. 2 Bonfiglioli, Aldo 2 Brezzi, Franco 2 Burstedde, Carsten 2 Candiani, Valentina 2 Cangiani, Andrea 2 Chaumont-Frelet, Théophile 2 Dabrowski, Marcin 2 Dassi, Franco 2 Dell’Accio, Francesco 2 Devillers, Olivier 2 Di Tommaso, Filomena 2 Doǧan, Günay 2 Engvall, Luke 2 Evans, John A. 2 Ganguly, Pritam 2 Gärtner, Klaus 2 Gee, James C. 2 Genova, Kyle 2 Ghattas, Omar N. 2 Gustafsson, Tom 2 Haber, Robert Bruce 2 Harlen, Oliver G. 2 He, Zhicheng 2 Held, Martin 2 Hendrickson, Bruce A. 2 Hitschfeld, Nancy 2 Holke, Johannes 2 Horne, Roland N. 2 Hu, Xiangyu 2 Hysing, Shuren 2 Jeon, Kiwan 2 Ji, Zhe 2 Jiao, Xiangmin 2 Kamenski, Lennard 2 Kröker, Ilja 2 Lew, Adrian J. 2 Liang, Bowen 2 Liu, Gui-Rong 2 Lubich, Christian 2 Mandal, Jadav Chandra 2 Mannseth, Trond 2 Miller, Gary Lee 2 Mishev, Ilya D. 2 Morin, Pedro 2 Müller, Fabian Lukas 2 Munson, Todd S. 2 Nakshatrala, K. B. 2 Nouisser, Otheman 2 Ogita, Takeshi ...and 683 more Authors
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### Referenced in 104 Serials

 36 Computer Methods in Applied Mechanics and Engineering 31 Journal of Computational Physics 20 SIAM Journal on Scientific Computing 16 Computational Geometry 13 Journal of Computational and Applied Mathematics 13 Computational Mechanics 11 International Journal for Numerical Methods in Engineering 11 Computational Geosciences 10 International Journal for Numerical Methods in Fluids 10 Computer Aided Geometric Design 8 Computers & Mathematics with Applications 7 Applied Numerical Mathematics 5 SIAM Journal on Numerical Analysis 5 Journal of Scientific Computing 5 Numerical Linear Algebra with Applications 4 Computers and Fluids 4 ACM Transactions on Mathematical Software 4 Applied Mathematics and Computation 4 BIT 4 Mathematics and Computers in Simulation 3 Computer Physics Communications 3 International Journal of Solids and Structures 3 Numerische Mathematik 3 International Journal of Computational Geometry & Applications 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 Pattern Recognition 2 IMA Journal of Numerical Analysis 2 Journal of Fluid Mechanics 2 ACM Transactions on Graphics 2 Discrete & Computational Geometry 2 Numerical Methods for Partial Differential Equations 2 Mathematical and Computer Modelling 2 Japan Journal of Industrial and Applied Mathematics 2 Journal of Global Optimization 2 Numerical Algorithms 2 Computational Mathematics and Mathematical Physics 2 Mathematical Programming. Series A. Series B 2 Advances in Engineering Software 2 Communications in Numerical Methods in Engineering 2 Physics of Fluids 2 International Journal of Computer Vision 2 Engineering Analysis with Boundary Elements 2 Mathematical Problems in Engineering 2 European Journal of Mechanics. A. Solids 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Communications in Computational Physics 1 Archive for Rational Mechanics and Analysis 1 Inverse Problems 1 Information Processing Letters 1 Journal of Mathematical Biology 1 Journal of the Mechanics and Physics of Solids 1 Physics Letters. A 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Mathematics of Computation 1 Automatica 1 Calcolo 1 Computing 1 Finite Elements in Analysis and Design 1 Algorithmica 1 Information and Computation 1 CAD. Computer-Aided Design 1 Discrete Event Dynamic Systems 1 European Journal of Operational Research 1 Journal of Non-Newtonian Fluid Mechanics 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Computational Statistics and Data Analysis 1 Experimental Mathematics 1 Journal of Computer and Systems Sciences International 1 Electronic Journal of Differential Equations (EJDE) 1 Computational and Applied Mathematics 1 Fractals 1 Advances in Computational Mathematics 1 Journal of Geodesy 1 INFORMS Journal on Computing 1 Computing and Visualization in Science 1 International Journal of Computational Fluid Dynamics 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Abstract and Applied Analysis 1 1 Data Mining and Knowledge Discovery 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Flow, Turbulence and Combustion 1 CMES. Computer Modeling in Engineering & Sciences 1 Mathematical Modelling and Analysis 1 Milan Journal of Mathematics 1 Granular Matter 1 International Journal of Numerical Analysis and Modeling 1 International Journal of Fracture 1 Algorithms and Computation in Mathematics 1 Studies in Fuzziness and Soft Computing 1 Texts in Computational Science and Engineering 1 Computational & Mathematical Methods in Medicine 1 Inverse Problems and Imaging 1 SIAM Journal on Imaging Sciences 1 Foundations and Trends in Computer Graphics and Vision 1 Mathematical Geosciences 1 Mathematical Programming Computation 1 GEM - International Journal on Geomathematics 1 Journal of Computational and Graphical Statistics ...and 4 more Serials
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### Referenced in 31 Fields

 222 Numerical analysis (65-XX) 92 Fluid mechanics (76-XX) 64 Partial differential equations (35-XX) 55 Mechanics of deformable solids (74-XX) 51 Computer science (68-XX) 18 Geophysics (86-XX) 14 Operations research, mathematical programming (90-XX) 13 Biology and other natural sciences (92-XX) 12 Optics, electromagnetic theory (78-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 10 Combinatorics (05-XX) 10 Statistical mechanics, structure of matter (82-XX) 7 Convex and discrete geometry (52-XX) 7 Classical thermodynamics, heat transfer (80-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Information and communication theory, circuits (94-XX) 4 Statistics (62-XX) 3 Ordinary differential equations (34-XX) 3 Approximations and expansions (41-XX) 3 Differential geometry (53-XX) 3 Systems theory; control (93-XX) 2 Integral transforms, operational calculus (44-XX) 2 Integral equations (45-XX) 2 Geometry (51-XX) 2 Probability theory and stochastic processes (60-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Operator theory (47-XX)