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. Börm, Steffen; Christophersen, Sven: Approximation of integral operators by Green quadrature and nested cross approximation (2016)
  2. Chan, Jesse; Wang, Zheng; Modave, Axel; Remacle, Jean-Francois; Warburton, T.: GPU-accelerated discontinuous Galerkin methods on hybrid meshes (2016)
  3. Chan, Jesse; Warburton, T.: Orthogonal bases for vertex-mapped pyramids (2016)
  4. Fortunato, Meire; Persson, Per-Olof: High-order unstructured curved mesh generation using the Winslow equations (2016)
  5. 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)
  6. 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)
  7. Zakerzadeh, Mohammad; May, Georg: On the convergence of a shock capturing discontinuous Galerkin method for nonlinear hyperbolic systems of conservation laws (2016)
  8. Gopalakrishnan, Jay; Schöberl, Joachim: Degree and wavenumber [in]dependence of Schwarz preconditioner for the DPG method (2015)
  9. Gulizzi, V.; Milazzo, A.; Benedetti, I.: An enhanced grain-boundary framework for computational homogenization and micro-cracking simulations of polycrystalline materials (2015)
  10. Hohage, Thorsten; Nannen, Lothar: Convergence of infinite element methods for scalar waveguide problems (2015)
  11. Langer, Ulrich; Yang, Huidong: Partitioned solution algorithms for fluid-structure interaction problems with hyperelastic models (2015)
  12. Osei-Kuffuor, Daniel; Li, Ruipeng; Saad, Yousef: Matrix reordering using multilevel graph coarsening for ILU preconditioning (2015)
  13. Spinelli, Stephen A.; Lefèvre, Victor; Lopez-Pamies, Oscar: Dielectric elastomer composites: a general closed-form solution in the small-deformation limit (2015)
  14. Viquerat, J.; Scheid, C.: A 3D curvilinear discontinuous Galerkin time-domain solver for nanoscale light-matter interactions (2015)
  15. Esterhazy, S.; Melenk, J.M.: An analysis of discretizations of the Helmholtz equation in $L^2$ and in negative norms (2014)
  16. Herrmann, Heiko; Eik, Marika; Berg, Viktoria; Puttonen, Jari: Phenomenological and numerical modelling of short fibre reinforced cementitious composites (2014)
  17. Karhunen, Kimmo; Seppänen, Aku; Kaipio, Jari P.: Adaptive meshing approach to identification of cracks with electrical impedance tomography (2014)
  18. Rudolf, Florian; Weinbub, Josef; Rupp, Karl; Selberherr, Siegfried: The meshing framework ViennaMesh for finite element applications (2014)
  19. Vassilevski, Panayot S.; Villa, Umberto: A mixed formulation for the Brinkman problem (2014)
  20. Fritzen, Felix; Forest, Samuel; Kondo, Djimedo; Böhlke, Thomas: Computational homogenization of porous materials of Green type (2013)

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