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. Kaiser, Klaus; Schütz, Jochen; Schöbel, Ruth; Noelle, Sebastian: A new stable splitting for the isentropic Euler equations (2017)
  2. Laadhari, Aymen; Székely, Gábor: Eulerian finite element method for the numerical modeling of fluid dynamics of natural and pathological aortic valves (2017)
  3. Lederer, Philip L.; Linke, Alexander; Merdon, Christian; Schöberl, Joachim: Divergence-free reconstruction operators for pressure-robust Stokes discretizations with continuous pressure finite elements (2017)
  4. Ni, Saifeng; Zhong, Zichun; Liu, Yang; Wang, Wenping; Chen, Zhonggui; Guo, Xiaohu: Sliver-suppressing tetrahedral mesh optimization with gradient-based shape matching energy (2017)
  5. 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)
  6. Börm, Steffen; Christophersen, Sven: Approximation of integral operators by Green quadrature and nested cross approximation (2016)
  7. Chan, Jesse; Wang, Zheng; Modave, Axel; Remacle, Jean-Francois; Warburton, T.: GPU-accelerated discontinuous Galerkin methods on hybrid meshes (2016)
  8. Chan, Jesse; Warburton, T.: Orthogonal bases for vertex-mapped pyramids (2016)
  9. Di Pietro, Daniele A.; Specogna, Ruben: An a posteriori-driven adaptive mixed high-order method with application to electrostatics (2016)
  10. Faustmann, Markus; Melenk, Jens Markus; Praetorius, Dirk: Existence of $\mathcalH$-matrix approximants to the inverses of BEM matrices: the simple-layer operator (2016)
  11. Fortunato, Meire; Persson, Per-Olof: High-order unstructured curved mesh generation using the Winslow equations (2016)
  12. 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)
  13. Rupp, Karl; Tillet, Philippe; Rudolf, Florian; Weinbub, Josef; Morhammer, Andreas; Grasser, Tibor; Jüngel, Ansgar; Selberherr, Siegfried: ViennaCL-linear algebra library for multi- and many-core architectures (2016)
  14. Varduhn, Vasco; Hsu, Ming-Chen; Ruess, Martin; Schillinger, Dominik: The tetrahedral finite cell method: higher-order immersogeometric analysis on adaptive non-boundary-fitted meshes (2016)
  15. Zakerzadeh, Mohammad; May, Georg: On the convergence of a shock capturing discontinuous Galerkin method for nonlinear hyperbolic systems of conservation laws (2016)
  16. Gopalakrishnan, Jay; Schöberl, Joachim: Degree and wavenumber [in]dependence of Schwarz preconditioner for the DPG method (2015)
  17. Gulizzi, V.; Milazzo, A.; Benedetti, I.: An enhanced grain-boundary framework for computational homogenization and micro-cracking simulations of polycrystalline materials (2015)
  18. Hohage, Thorsten; Nannen, Lothar: Convergence of infinite element methods for scalar waveguide problems (2015)
  19. Jamin, Clément; Alliez, Pierre; Yvinec, Mariette; Boissonnat, Jean-Daniel: CGALmesh: a generic framework for Delaunay mesh generation (2015)
  20. Langer, Ulrich; Yang, Huidong: Partitioned solution algorithms for fluid-structure interaction problems with hyperelastic models (2015)

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