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.

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  1. Siggel, Martin; Kleinert, Jan; Stollenwerk, Tobias; Maierl, Reinhold: TiGL: an open source computational geometry library for parametric aircraft design (2019)
  2. Ainsworth, Mark; Fu, Guosheng: Fully computable a posteriori error bounds for hybridizable discontinuous Galerkin finite element approximations (2018)
  3. Halla, Martin; Nannen, Lothar: Two scale Hardy space infinite elements for scalar waveguide problems (2018)
  4. Hinz, J.; Möller, M.; Vuik, C.: Elliptic grid generation techniques in the framework of isogeometric analysis applications (2018)
  5. la Cour Christensen, Max; Vassilevski, Panayot S.; Villa, Umberto: Nonlinear multigrid solvers exploiting AMGe coarse spaces with approximation properties (2018)
  6. Nagarajan, Anand; Soghrati, Soheil: Conforming to interface structured adaptive mesh refinement: 3D algorithm and implementation (2018)
  7. Nannen, Lothar; Wess, Markus: Computing scattering resonances using perfectly matched layers with frequency dependent scaling functions (2018)
  8. Rauter, M.; Tuković, Ž.: A finite area scheme for shallow granular flows on three-dimensional surfaces (2018)
  9. Ren, Shangjie; Soleimani, Manuchehr; Xu, Yaoyuan; Dong, Feng: Inclusion boundary reconstruction and sensitivity analysis in electrical impedance tomography (2018)
  10. Vasilev, Eugene; Lachinov, Dmitry; Grishin, Anton; Turlapov, Vadim: Fast tetrahedral mesh generation and segmentation of an atlas-based heart model using a periodic uniform grid (2018)
  11. Zhilkin, A. S.; Sychugov, D. Yu.: A new algorithm for generating tetrahedral grids (2018)
  12. Faustmann, M.; Melenk, J. M.: Robust exponential convergence of (hp)-FEM in balanced norms for singularly perturbed reaction-diffusion problems: corner domains (2017)
  13. Kaiser, Klaus; Schütz, Jochen; Schöbel, Ruth; Noelle, Sebastian: A new stable splitting for the isentropic Euler equations (2017)
  14. Laadhari, Aymen; Székely, Gábor: Eulerian finite element method for the numerical modeling of fluid dynamics of natural and pathological aortic valves (2017)
  15. Lederer, Philip L.; Linke, Alexander; Merdon, Christian; Schöberl, Joachim: Divergence-free reconstruction operators for pressure-robust Stokes discretizations with continuous pressure finite elements (2017)
  16. Ni, Saifeng; Zhong, Zichun; Liu, Yang; Wang, Wenping; Chen, Zhonggui; Guo, Xiaohu: Sliver-suppressing tetrahedral mesh optimization with gradient-based shape matching energy (2017)
  17. Schütz, Jochen; Seal, David C.; Jaust, Alexander: Implicit multiderivative collocation solvers for linear partial differential equations with discontinuous Galerkin spatial discretizations (2017)
  18. 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)
  19. Balan, Aravind; Woopen, Michael; May, Georg: Adjoint-based \textithp-adaptivity on anisotropic meshes for high-order compressible flow simulations (2016)
  20. Börm, Steffen; Christophersen, Sven: Approximation of integral operators by Green quadrature and nested cross approximation (2016)

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