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. Du, K.; Cheng, Long; Barthélémy, J. F.; Sevostianov, I.; Giraud, A.; Adessina, A.: Numerical computation of compliance contribution tensor of a concave pore embedded in a transversely isotropic matrix (2020)
  2. Guo, Liwei; Vardakis, John C.; Chou, Dean; Ventikos, Yiannis: A multiple-network poroelastic model for biological systems and application to subject-specific modelling of cerebral fluid transport (2020)
  3. Ji, Zhe; Fu, Lin; Hu, Xiangyu; Adams, Nikolaus: A consistent parallel isotropic unstructured mesh generation method based on multi-phase SPH (2020)
  4. Lederer, Philip L.; Rhebergen, Sander: A pressure-robust embedded discontinuous Galerkin method for the Stokes problem by reconstruction operators (2020)
  5. Ramsharan Rangarajan; Adrian Lew: DVRlib: A C++ library for geometric mesh improvement using Directional Vertex Relaxation (2020) not zbMATH
  6. Banjai, Lehel; Otárola, Enrique: A PDE approach to fractional diffusion: a space-fractional wave equation (2019)
  7. Böhm, Helmut J.: Comparison of analytical and numerical models for the thermoelastic behavior of composites reinforced by coated spheres (2019)
  8. Borcea, Liliana; Meng, Shixu: Factorization method versus migration imaging in a waveguide (2019)
  9. Braukhoff, Marcel; Lankeit, Johannes: Stationary solutions to a chemotaxis-consumption model with realistic boundary conditions for the oxygen (2019)
  10. Ehab Moustafa Kamel, Karim; Sonon, Bernard; Massart, Thierry Jacques: An integrated approach for the conformal discretization of complex inclusion-based microstructures (2019)
  11. Gerstenmayer, Anita; Jüngel, Ansgar: Comparison of a finite-element and finite-volume scheme for a degenerate cross-diffusion system for ion transport (2019)
  12. Hrkac, Gino; Pfeiler, Carl-Martin; Praetorius, Dirk; Ruggeri, Michele; Segatti, Antonio; Stiftner, Bernhard: Convergent tangent plane integrators for the simulation of chiral magnetic skyrmion dynamics (2019)
  13. Lackner, C.; Meng, S.; Monk, P.: Determination of electromagnetic Bloch variety in a medium with frequency-dependent coefficients (2019)
  14. Lederer, Philip L.; Lehrenfeld, Christoph; Schöberl, Joachim: Hybrid discontinuous Galerkin methods with relaxed (2019)
  15. Lederer, Philip Lukas; Merdon, Christian; Schöberl, Joachim: Refined a posteriori error estimation for classical and pressure-robust Stokes finite element methods (2019)
  16. Lehrenfeld, Christoph; Olshanskii, Maxim: An Eulerian finite element method for PDEs in time-dependent domains (2019)
  17. Lin, Yi-Hsuan; Meng, Shixu: Leading and second order homogenization of an elastic scattering problem for highly oscillating anisotropic medium (2019)
  18. Matejczyk, B.; Pietschmann, J.-F.; Wolfram, M.-T.; Richardson, G.: Asymptotic models for transport in large aspect ratio nanopores (2019)
  19. Schroeder, Philipp W.; John, Volker; Lederer, Philip L.; Lehrenfeld, Christoph; Lube, Gert; Schöberl, Joachim: On reference solutions and the sensitivity of the 2D Kelvin-Helmholtz instability problem (2019)
  20. Siggel, Martin; Kleinert, Jan; Stollenwerk, Tobias; Maierl, Reinhold: TiGL: an open source computational geometry library for parametric aircraft design (2019)

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