TetGen

TetGen, a Delaunay-Based Quality Tetrahedral Mesh Generator. TetGen is a C++ program for generating good quality tetrahedral meshes aimed to support numerical methods and scientific computing. The problem of quality tetrahedral mesh generation is challenged by many theoretical and practical issues. TetGen uses Delaunay-based algorithms which have theoretical guarantee of correctness. It can robustly handle arbitrary complex 3D geometries and is fast in practice. The source code of TetGen is freely available. This article presents the essential algorithms and techniques used to develop TetGen. The intended audience are researchers or developers in mesh generation or other related areas. It describes the key software components of TetGen, including an efficient tetrahedral mesh data structure, a set of enhanced local mesh operations (combination of flips and edge removal), and filtered exact geometric predicates. The essential algorithms include incremental Delaunay algorithms for inserting vertices, constrained Delaunay algorithms for inserting constraints (edges and triangles), a new edge recovery algorithm for recovering constraints, and a new constrained Delaunay refinement algorithm for adaptive quality tetrahedral mesh generation. Experimental examples as well as comparisons with other softwares are presented.

This software is also peer reviewed by journal TOMS.


References in zbMATH (referenced in 163 articles , 1 standard article )

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  1. Huo, Zenan; Mei, Gang; Xu, Nengxiong: JuSFEM: a Julia-based open-source package of parallel smoothed finite element method (S-FEM) for elastic problems (2021)
  2. Jahandari, Hormoz; Bihlo, Alex: Forward modelling of geophysical electromagnetic data on unstructured grids using an adaptive mimetic finite-difference method (2021)
  3. Ji, Zhe; Fu, Lin; Hu, Xiangyu; Adams, Nikolaus: A feature-aware SPH for isotropic unstructured mesh generation (2021)
  4. Jolivet, Pierre; Roman, Jose E.; Zampini, Stefano: KSPHPDDM and PCHPDDM: extending PETSc with advanced Krylov methods and robust multilevel overlapping Schwarz preconditioners (2021)
  5. Keilegavlen, Eirik; Berge, Runar; Fumagalli, Alessio; Starnoni, Michele; Stefansson, Ivar; Varela, Jhabriel; Berre, Inga: PorePy: an open-source software for simulation of multiphysics processes in fractured porous media (2021)
  6. Shirokov, I. A.: Mesh construction algorithm based on TetGen for modeling the external flow around an axisymmetric model (2021)
  7. Araya, Rodolfo; Aguayo, Jorge; Muñoz, Santiago: An adaptive stabilized method for advection-diffusion-reaction equation (2020)
  8. Bänsch, Eberhard; Luttmann, Andreas; Montalvo-Urquizo, Jonathan; Schmidt, Alfred; Villarreal-Marroquín, Maria G.: Simulation and multi-objective optimization to improve the final shape and process efficiency of a laser-based material accumulation process (2020)
  9. Beirão da Veiga, L.; Dassi, F.; Vacca, G.: The Stokes complex for virtual elements in three dimensions (2020)
  10. Beirão da Veiga, Lourenco; Dassi, Franco; Russo, Alessandro: A (C^1) virtual element method on polyhedral meshes (2020)
  11. Bin Zubair Syed, H.; Farquharson, C.; MacLachlan, S.: Block preconditioning techniques for geophysical electromagnetics (2020)
  12. Hart, Kenneth A.; Rimoli, Julian J.: Generation of statistically representative microstructures with direct grain geometry control (2020)
  13. Ji, Zhe; Fu, Lin; Hu, Xiangyu; Adams, Nikolaus: A consistent parallel isotropic unstructured mesh generation method based on multi-phase SPH (2020)
  14. Kraus, Johannes; Nakov, Svetoslav; Repin, Sergey: Reliable computer simulation methods for electrostatic biomolecular models based on the Poisson-Boltzmann equation (2020)
  15. Kraus, Johannes; Nakov, Svetoslav; Repin, Sergey I.: Reliable numerical solution of a class of nonlinear elliptic problems generated by the Poisson-Boltzmann equation (2020)
  16. Li, Bin; Fu, Jianzhong; Zhang, Yongjie Jessica; Pawar, Aishwarya: A trivariate T-spline based framework for modeling heterogeneous solids (2020)
  17. Liu, Ju; Yang, Weiguang; Dong, Melody; Marsden, Alison L.: The nested block preconditioning technique for the incompressible Navier-Stokes equations with emphasis on hemodynamic simulations (2020)
  18. Ramsharan Rangarajan; Adrian Lew: DVRlib: A C++ library for geometric mesh improvement using Directional Vertex Relaxation (2020) not zbMATH
  19. Shi, Jia; Beretta, Elena; de Hoop, Maarten V.; Francini, Elisa; Vessella, Sergio: A numerical study of multi-parameter full waveform inversion with iterative regularization using multi-frequency vibroseis data (2020)
  20. Stewart Boogert, Andrey Abramov, Laurence Nevay, William Shields, Stuart Walker: PYG4OMETRY: a Python library for the creation of Monte Carlo radiation transport physical geometries (2020) arXiv

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