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. Ji, Zhe; Fu, Lin; Hu, Xiangyu; Adams, Nikolaus: A feature-aware SPH for isotropic unstructured mesh generation (2021)
  2. King, John R.; Köry, Jakub; Ptashnyk, Mariya: Multiscale analysis of nutrient uptake by plant roots with sparse distribution of root hairs: nonstandard scaling (2021)
  3. Melching, David; Neunteufel, Michael; Schöberl, Joachim; Stefanelli, Ulisse: A finite-strain model for incomplete damage in elastoplastic materials (2021)
  4. Meng, Shixu: A sampling type method in an electromagnetic waveguide (2021)
  5. Neunteufel, Michael; Schöberl, Joachim: Avoiding membrane locking with Regge interpolation (2021)
  6. Sun, Zheng; Xing, Yulong: Optimal error estimates of discontinuous Galerkin methods with generalized fluxes for wave equations on unstructured meshes (2021)
  7. Terekhov, Kirill M.: Collocated finite-volume method for the incompressible Navier-Stokes problem (2021)
  8. Zeng, Fang; Meng, Shixu: The interior inverse electromagnetic scattering for an inhomogeneous cavity (2021)
  9. Zoltan Csati, Jean-François Witz, Vincent Magnier, Ahmed El Bartali, Nathalie Limodin; Denis Najjar: CristalX: Facilitating simulations for experimentally obtained grain-based microstructures (2021) not zbMATH
  10. Brandner, Philip; Reusken, Arnold: Finite element error analysis of surface Stokes equations in stream function formulation (2020)
  11. de Francqueville, Foucault; Gilormini, Pierre; Diani, Julie; Vandenbroucke, Aude: Comparison of the finite strain macroscopic behavior and local damage of a soft matrix highly reinforced by spherical or polyhedral particles (2020)
  12. 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)
  13. 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)
  14. Ji, Zhe; Fu, Lin; Hu, Xiangyu; Adams, Nikolaus: A consistent parallel isotropic unstructured mesh generation method based on multi-phase SPH (2020)
  15. Lederer, Philip L.; Rhebergen, Sander: A pressure-robust embedded discontinuous Galerkin method for the Stokes problem by reconstruction operators (2020)
  16. Mohmadsalehi, Mohamad; Nagarajan, Anand; Soghrati, Soheil: Higher-order mesh generation using CISAMR: a case study on bias in presentation and interpretation of results (2020)
  17. Preuß, Janosch; Hohage, Thorsten; Lehrenfeld, Christoph: Sweeping preconditioners for stratified media in the presence of reflections (2020)
  18. Ramsharan Rangarajan; Adrian Lew: DVRlib: A C++ library for geometric mesh improvement using Directional Vertex Relaxation (2020) not zbMATH
  19. Xu, Huijuan; Baroli, Davide; Di Massimo, Francesca; Quaini, Annalisa; Veneziani, Alessandro: Backflow stabilization by deconvolution-based large eddy simulation modeling (2020)
  20. Banjai, Lehel; Otárola, Enrique: A PDE approach to fractional diffusion: a space-fractional wave equation (2019)

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