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.

References in zbMATH (referenced in 102 articles , 1 standard article )

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  1. Halla, Martin; Nannen, Lothar: Two scale Hardy space infinite elements for scalar waveguide problems (2018)
  2. la Cour Christensen, Max; Vassilevski, Panayot S.; Villa, Umberto: Nonlinear multigrid solvers exploiting AMGe coarse spaces with approximation properties (2018)
  3. Nannen, Lothar; Wess, Markus: Computing scattering resonances using perfectly matched layers with frequency dependent scaling functions (2018)
  4. Rauter, M.; Tuković, Ž.: A finite area scheme for shallow granular flows on three-dimensional surfaces (2018)
  5. Ahmadian, Hossein; Liang, Bowen; Soghrati, Soheil: An integrated computational framework for simulating the failure response of carbon fiber reinforced polymer composites (2017)
  6. Faustmann, M.; Melenk, J. M.: Robust exponential convergence of $hp$-FEM in balanced norms for singularly perturbed reaction-diffusion problems: corner domains (2017)
  7. Kaiser, Klaus; Schütz, Jochen; Schöbel, Ruth; Noelle, Sebastian: A new stable splitting for the isentropic Euler equations (2017)
  8. Laadhari, Aymen; Székely, Gábor: Eulerian finite element method for the numerical modeling of fluid dynamics of natural and pathological aortic valves (2017)
  9. Lederer, Philip L.; Linke, Alexander; Merdon, Christian; Schöberl, Joachim: Divergence-free reconstruction operators for pressure-robust Stokes discretizations with continuous pressure finite elements (2017)
  10. Ni, Saifeng; Zhong, Zichun; Liu, Yang; Wang, Wenping; Chen, Zhonggui; Guo, Xiaohu: Sliver-suppressing tetrahedral mesh optimization with gradient-based shape matching energy (2017)
  11. Schütz, Jochen; Seal, David C.; Jaust, Alexander: Implicit multiderivative collocation solvers for linear partial differential equations with discontinuous Galerkin spatial discretizations (2017)
  12. Zhao, Ying; Schillinger, Dominik; Xu, Bai-Xiang: Variational boundary conditions based on the Nitsche method for fitted and unfitted isogeometric discretizations of the mechanically coupled Cahn-Hilliard equation (2017)
  13. Balan, Aravind; Woopen, Michael; May, Georg: Adjoint-based \ithp-adaptivity on anisotropic meshes for high-order compressible flow simulations (2016)
  14. Börm, Steffen; Christophersen, Sven: Approximation of integral operators by Green quadrature and nested cross approximation (2016)
  15. Chan, Jesse; Wang, Zheng; Modave, Axel; Remacle, Jean-Francois; Warburton, T.: GPU-accelerated discontinuous Galerkin methods on hybrid meshes (2016)
  16. Chan, Jesse; Warburton, T.: Orthogonal bases for vertex-mapped pyramids (2016)
  17. Di Pietro, Daniele A.; Specogna, Ruben: An a posteriori-driven adaptive mixed high-order method with application to electrostatics (2016)
  18. Faustmann, Markus; Melenk, Jens Markus; Praetorius, Dirk: Existence of $\mathcalH$-matrix approximants to the inverses of BEM matrices: the simple-layer operator (2016)
  19. Fortunato, Meire; Persson, Per-Olof: High-order unstructured curved mesh generation using the Winslow equations (2016)
  20. Halla, Martin; Hohage, Thorsten; Nannen, Lothar; Schöberl, Joachim: Hardy space infinite elements for time harmonic wave equations with phase and group velocities of different signs (2016)

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