swMATH ID: 12766
Software Authors: P.-O. Persson; G. Strang
Description: A Simple Mesh Generator in MATLAB. Creating a mesh is the first step in a wide range of applications, including scientific computing and computer graphics. An unstructured simplex mesh requires a choice of meshpoints (vertex nodes) and a triangulation. We want to offer a short and simple MATLAB code, described in more detail than usual, so the reader can experiment (and add to the code) knowing the underlying principles. We find the node locations by solving for equilibrium in a truss structure (using piecewise linear force-displacement relations) and reset the topology by the Delaunay algorithm. The geometry is described implicitly by its distance function. In addition to being much shorter and simpler than other meshing techniques, our algorithm typically produces meshes of very high quality. We discuss ways to improve the robustness and the performance, but our aim here is simplicity. Readers can download (and edit) the codes from http://math.mit.edu/ persson/mesh.
Homepage: http://persson.berkeley.edu/distmesh/
Dependencies: Matlab
Related Software: Matlab; Triangle; rbf_qr; Gmsh; iFEM; top.m; TetGen; FreeFem++; GitHub; COMSOL; na14; PolyMesher; Netgen; Qhull; L-BFGS; IIMPACK; CGAL; LAPACK; Adam; FEAPpv
Cited in: 361 Documents
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Cited by 775 Authors

7 Dehghan Takht Fooladi, Mehdi
7 Persson, Per-Olof
6 Liu, Jie
6 Mohammadi, Vahid
6 Shankar, Varun
5 Dapogny, Charles
5 Fornberg, Bengt
5 Garanzha, Vladimir A.
5 Kim, Junseok
5 Kudryavtseva, Lyudmila N.
5 Li, Yibao
4 Allaire, Grégoire
4 Chappell, David J.
4 Flyer, Natasha
4 Ju, Lili
4 Kovacs, Balazs A.
4 Ling, Leevan
4 Liu, Chun
4 Menezes, Ivan F. M.
4 Paulino, Glaucio H.
4 Wright, Grady B.
4 Zahr, Matthew J.
3 Baginski, Frank E.
3 Calvetti, Daniela
3 Chen, Long
3 Chen, Meng
3 Choi, Gary Pui-Tung
3 Crofts, Jonathan J.
3 Ghosh, Sudeshna
3 Groenwold, Albert A.
3 Gunzburger, Max D.
3 Kirby, Robert M. II
3 Kok, Schalk
3 Larsson, Elisabeth
3 Lehto, Erik
3 Li, Buyang
3 Massart, Thierry Jacques
3 Pereira, Anderson
3 Reeger, Jonah A.
3 Somersalo, Erkki
3 Sonon, Bernard
3 Talischi, Cameron
3 Terzioglu, Fatma
3 Tominec, Igor
3 Wilke, Daniel Nicolas
3 Wu, Qingbiao
3 Yamasaki, Shintaro
3 Zhang, Zhimin
3 Zhou, Shiwei
3 Zhu, Shengfeng
2 Albuquerque, Duarte M. S.
2 Atzberger, Paul J.
2 Bakushinskĭ, Anatoliĭ Borisovich B.
2 Balachandar, S. Raja
2 Belokrys-Fedotov, Aleksei I.
2 Bendito, Enrique
2 Bogoşel, Beniamin
2 Cai, Wei
2 Cai, Zhiqiang
2 Cao, Shuhao
2 Carmona, Ángeles
2 Chen, Minxin
2 Chuzhanova, N. A.
2 Copos, Calina A.
2 de Hoop, Maarten V.
2 Diele, Fasma
2 Duan, Beiping
2 Ehab Moustafa Kamel, Karim
2 Encinas, Andrés M.
2 Feppon, Florian
2 Fernandes Pereira, José Carlos
2 Frey, Pascal Jean
2 Fuselier, Edward J.
2 Galagusz, Ryan
2 Gesto, J. M.
2 Govindjee, Sanjay
2 Gross, Ben J.
2 Guy, Robert D.
2 Heryudono, Alfa R. H.
2 Hysing, Shuren
2 Jeong, Darae
2 Jolivet, Pierre
2 Kawamoto, Atsushi
2 Khoo, Boo Cheong
2 Ku, Jaeun
2 Kuberry, Paul Allen
2 Kuchment, Peter A.
2 Lai, Mingchih
2 Li, Jingzhi
2 Li, Peijun
2 Li, Ying
2 Liu, Chunxiao
2 Lü, Jiajun
2 Lubich, Christian
2 Majd, Sheereen
2 Marangi, Carmela
2 Milewski, Slawomir
2 Nakkireddy, S.
2 Narayan, Akil C.
2 Nie, Yufeng
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Cited in 88 Serials

57 Journal of Computational Physics
36 Computer Methods in Applied Mechanics and Engineering
22 SIAM Journal on Scientific Computing
15 Computers & Mathematics with Applications
14 Journal of Scientific Computing
13 International Journal for Numerical Methods in Engineering
10 Journal of Computational and Applied Mathematics
9 Computers and Fluids
9 Applied Mathematics and Computation
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8 Engineering Analysis with Boundary Elements
6 Mathematics and Computers in Simulation
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6 Structural and Multidisciplinary Optimization
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5 Numerische Mathematik
5 Applied Mathematical Modelling
5 Communications in Nonlinear Science and Numerical Simulation
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4 Applied Numerical Mathematics
4 SIAM Journal on Applied Mathematics
4 Computational Geosciences
3 Numerical Methods for Partial Differential Equations
3 SIAM Journal on Matrix Analysis and Applications
3 Computational Mathematics and Mathematical Physics
2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
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2 SIAM Journal on Mathematical Analysis
2 Computational and Applied Mathematics
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2 Discrete and Continuous Dynamical Systems. Series B
2 International Journal of Numerical Analysis and Modeling
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247 Numerical analysis (65-XX)
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41 Biology and other natural sciences (92-XX)
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4 Linear and multilinear algebra; matrix theory (15-XX)
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